Step-by-step explanation:
We need to find the value of x.
We can see that x and 70° are supplementary.
So, we can ✍ write:-
x + 70 = 180
x = 180-70
x = 110° is the answer.
Hope it helps :)
What are parallelograms?
Answer:
a four-sided plane rectilinear figure with opposite sides parallel.
Step-by-step explanation:
Answer:
Parallelograms are a type of quadrilateral, which is a polygon with four sides. A parallelogram is a specific type of quadrilateral that has two pairs of parallel sides. This means that the opposite sides of a parallelogram are parallel and equal in length.
In addition to having parallel sides, parallelograms also have some other notable properties:
Opposite angles are congruent: The opposite angles of a parallelogram are equal in measure. This means that if you label the angles A, B, C, and D, then angle A is congruent to angle C, and angle B is congruent to angle D.
Step-by-step explanation:
Use interval notation or set notation to answer the following questions.
The domain of this function is ?
The range of this function is?
For the graphed function:
The domain is [-3, 3]
The range is [-3, -3]
How to identify the domain and range?For a function y = f(x), we define the domain as the set of the inputs and the range as the set of the outputs.
To identify the domain we need to look at the horizontal axis, we can see that the minimum value is at x = -3 and the maximum value is at x = 3, then the domain is: [-3, 3]
In the case of the range we have a single value (because the line is an horizontal line at y = -3) then the range is just R: {-3}
Or [-3, -3]
In interval notation.
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According to your graphing calculator, what is the approximate solution to the trigonometric inequality
cos(0.65x) > 0.45 over the interval 0
Answer:
B the answer with 1.6985
Step-by-step explanation:
did it on graphing calc
The solution of the inequality is [0, 1.699].
We will graph y=cos(0.65x)-0.45 using a calculator. Image 1.
Then we draw the boundary x=0 and x=\(2\pi\) on the same graph. And we try to find where y>0 on that graph. Image 2.
From the graph we see that y>0 that means cos(0.65x) > 0.45 is over the interval [0, 1.699].
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Roberto made a line plot to show the weight in pounds of the bags of granola in his store he concluded that the total weight of the granola was 2/1/2+2/3/4+3=8/1/4 pounds
The correct total weight of the bags of granola is 8 1/4 pounds.
One thing that can be done to improve Roberto's reasoning is to ensure the accuracy of the calculations.
In his conclusion, Roberto added the weights of the bags of granola (2 1/2, 2 3/4, and 3) and claimed that the total weight was 8 1/4 pounds. However, the sum of these weights does not equal 8 1/4 pounds.
To address this, Roberto should recheck his calculations. Adding mixed numbers involves adding the whole numbers separately and then adding the fractions separately. In this case, 2 1/2 + 2 3/4 + 3 can be calculated as follows:
2 + 2 + 3 = 7 (sum of whole numbers)
1/2 + 3/4 = 2/4 + 3/4 = 5/4 = 1 1/4 (sum of fractions)
Thus, the correct sum is 7 + 1 1/4 = 8 1/4 pounds.
By double-checking the calculations and providing the accurate sum, Roberto's reasoning would be more precise, reliable, and free from errors.
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The probable question may be:
Roberto made a line plot to show the weight in pounds of the bags of granola in his store he concluded that the total weight of the granola was 2 1/2+2 3/4+3=8 1/4 pounds.
what is one thing that you could do to Roberto's Reasoning
When does a negative exponent not move the base to the denominator
Answer:
If the base and the negative exponent is in the denominator already
Step-by-step explanation:
Normally, a base with a negative exponent moves to the denominator.
Example: (2^-3 = 1 / (2)^3 = 1/8)
However, if the base and the negative exponent is already in the denominator, the base would move to the numerator and the exponent would become positive.
Example: 2 / (3)^-3 = 2 * 3^3 = 2 * 27 = 54
Which sentence correctly uses commas to separate coordinate adjectives?
A
Melissa could not find her yellow jacket in the large unorganized closet.
B
Jared wore his old, tennis shoes to mow the thick, overgrown lawn next door.
C
Dennis did not want to see the long, boring movie at a crowded, overpriced theater.
D
Shannon signed up for the challenging, writing course at the local, community college.
The sentence that correctly uses commas to separate coordinate adjectives is D. Shannon signed up for the challenging, writing course at the local, community college.
Words that describe or provide details about a noun are called adjectives. Two or more adjectives are referred to as coordinate adjectives when they are used to describe the same noun. 'And' or a comma are used to separate them every time. These must be properly used, else a reader can mistake adjectives for a single modifier rather than a pair of coordinates.
The comma should be placed between any two or more adjectives that equally modify the same noun, and their order doesn't have to change the meaning, according to the guideline for using commas to separate coordinate adjectives in sentences. Option D includes the coordinate adjectives "challenging" and "writing" that equally modify the noun "course," as well as the coordinating adjectives "local" and "community" that equally modify the noun "college."
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Find the average rate of change of f(x) = 2x ^ 2 - 7x from x = 2 to x = 5 Simplify your answer as much as possible .
The average rate of change for a function between two points is the slope of the secant line that contains the two points.
f(2)=2(2)^+10=18
f(5)=2(5)^+10=60
Therefore the two points are (2,18) and (5,60)
Use the slope formula:
m=y1-y2/x1-x2
where (x1,y1) and (x2,y2) are the coordinates of the given points.
e2π+1=0
Isabella decides to sell handmade stationery. She decides to sell 2 cards for $9. Which table below show the possible values of c, the number of cards Isabella sells, and d, the number of dollars she charges?
Answer:
G.
Step-by-step explanation:
cards = 2
dollars = 9
to check that the number of cards with the correct amount d;
use the ratio and proportion.
(3 x 18)/9 = 4
(4 x 31.5)/18 = 7
(7 x 45)/31.5 = 10
therefore, option G. table G. is the correct answer
try doing the ratio and proportion on the other table and the number of cards DO NOT match with the amount. (see attached)
Given the general rotation matrix:
[cose -sine]
[sine cose]
Find the angle of rotation for the following matrix
O
O
O
√√3
NI - N/W]
1/2
√√3
2
A. 150°
B. 210⁰
C. 240⁰
D. 300
Answer is c. 210
2000
Hence, angle of rotation for given matrix is 210°.
The correct option is B.
What is trigonometric ratio?The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.
sin θ = Perpendicular/Hypotenuse
cos θ = Base/Hypotenuse
tan θ = Perpendicular/Base
sec θ = Hypotenuse/Base
cosec θ = Hypotenuse/Perpendicular
cot θ = Base/Perpendicular
Given rotation matrix
[cos θ - sinθ ]
[ sinθ cos θ ]
= [-√3/2 1/2 ]
[-1/2 -√3/2 ]
Comparing elements of both matrices,
cos θ = -√3/2
cos θ = - cos 30°
cos θ = cos (180° + 30°)
cos θ = cos 210°
θ = 210°
- sin θ = 1/2
- sin θ = - (-1/2)
- sin θ = - (-sin 30°)
- sin θ = - sin(180° + 30°)
- sin θ = - sin 210°
θ = 210°
sin θ = -1/2
sin θ = - sin 30°
sin θ = sin (180° + 30°)
sin θ = sin 210°
θ = 210°
cosθ = -√3/2
cos θ = - cos 30°
cos θ = cos (180 + 30°)
cos θ = cos 210°
θ = 210°
Hence, 210° is the angle of rotation of given matrix .
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Answer:
210
Step-by-step explanation:
I CAN I PLEASE GET HELP ON THIS PROBLEM QUICKLY
THANK R
Answer: All of them.
Step-by-step explanation:
The first two numbers have to be greater than the last one when they are added together.
A,B,C
So A and B have to be added together, and if they are a larger number combined than the C its a right triangle. Hope this helps.
−8(2) +5(2 − 12)+ (−2)(5 −2) +(−3)(3)
Answer:
The answer is -81.
Step-by-step explanation:
Let me know if I got it wrong.
Christina is buying a $170,000 home with a 30-year mortgage. She makes a $20,000 down payment.
Use the table to find her monthly PMI payment.
A. $51.25
B. $37.50
C. $23.75
D. $42.50
The monthly PMI Payment for Christina's loan is $37.50.The correct answer is option B.
To determine Christina's monthly PMI (Private Mortgage Insurance) payment, we need to find the corresponding interest rate for her loan-to-value (LTV) ratio. The LTV ratio is calculated by dividing the loan amount by the property value.
The loan amount can be calculated by subtracting the down payment from the property value:
Loan amount = Property value - Down payment
= $170,000 - $20,000
= $150,000
Now we can calculate the LTV ratio:
LTV ratio = Loan amount / Property value * 100
= $150,000 / $170,000 * 100
= 88.24%
Since Christina is obtaining a 30-year mortgage, we need to look at the interest rates for LTV ratios between 85.01% and 90%. According to the table, the interest rate for this range is 0.30%.
To calculate the PMI payment, we multiply the loan amount by the PMI rate and divide it by 12 months:
PMI payment = (Loan amount * PMI rate) / 12
= ($150,000 * 0.30%) / 12
= $450 / 12
= $37.50
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The Probable question may be:
Christina is buying a $170,000 home with a 30-year mortgage. She makes a $20,000 down payment.
Use the table to find her monthly PMI payment
Base to loan% = 95.01% to 97%,90.01% to 95%,85.01% to 90%,80.01% to 85%.
30-year fixed-rate loan = 0.55%,0.41%,0.30%,0.19%
15-year fixed-rate loan = 0.37%,0.28%,0.19%,0.17%.
A. $51.25
B. $37.50
C. $23.75
D. $42.50
Test Prep A triangular garden is made in a backyard. The sides measure 26m, 38m, and 50m. If a sign is posted in the smallest angle of the triangle, where should it go? A Opposite the side that is 26 m. B Opposite the side that is 38 m. C Opposite the side that is 50 m. D In the center of the triangle.
Answer:
A.
Step-by-step explanation:
The smallest angle is opposite the smallest side.
So the answer is opposite the side of length 26m.
Answer:
(A) The sign should go in the corner opposite the side that is 26m.
Step-by-step explanation:
In every triangle, the shortest side is opposite of the smallest angle and the longest side is opposite of the biggest angle.
For example, in a 30, 60, 90 triangle, the 30° angle is opposite a side length of 1 unit and the 90° angle is opposite a side length of 2 units. (60° is opposite radical 3)
Amir is in charge of getting oranges for today's soccer game. He buys 2 bags with
6 oranges in each bag. He also buys 4 loose oranges.
Choose all the expressions that can be used to find the number of oranges Amir gets
in all.
The expression that shows the total oranges amir got in total is x-12 = 4. And amir got 16 oranges in all
What is linear expressions?A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1. For example, x² is a variable raised to the second power, but x is a variable raised to the first power.
example of linear expression is 2x+2y = 5. This is a linear expression with two variables x and y.
Let's represent the total no of oranges by x.
Therefore ,
2 bags of oranges with 6 in each bag will amount to 2×6 = 12 oranges.
an addition of 4 loose oranges . Therefore the total number of oranges = 12+4 = x
x = 12+4 or x-12 = 4
= 16
therefore amir got 16 oranges in all
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express 2/(1-(x^2)) into partial fractions
2/ ( 1 + x) ( 1 - x) is express into partial fractions.
With an example, what is a partial fraction?
The division of an algebraic fraction into smaller, "partial fractions," components is possible. Think about the algebraic fraction (3x+5) (2x2-5x-3). This formula can be broken down into its simplest form, [2/(x - 3)] - [1/(2x + 1)]. Partial fractions are the more straightforward pieces [2/(x - 3)] and [1/(2x + 1)].
The four categories of partial fractions are linear factors, degree 2 irreducible factors, repeated linear factors, and repeated irreducible degree 2 factors.
= 2/(1-(x^2))
= 2 / (1)² - (X)²
= 2/ ( 1 + x) ( 1 - x)
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HELP ME!!!!
ZEARN!!!!!!!!!
A common denominator is a shared multiple of the denominators of the fractions involved when adding or subtracting fractions. It enables fraction comparison and addition/subtraction.
Simplification is the process of reducing a fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor. This is done to represent fractions in the simplest terms viable.
Conversion: The process of transferring a fraction from one form to another while retaining its equal value is known as conversion. Finding a common denominator or expressing a fraction in terms of a specified unit or fraction may be required.
Fraction Addition/Subtraction: When adding or subtracting fractions, a common denominator is required. This entails determining a common multiple of
To rewrite the expression 3 + 1/5 + 2/3 using fifteenths as the common denominator, we need to find a common denominator for 5 and 3, which is 15 (since 5 and 3 are both factors of 15).
First, let's convert the fractions 1/5 and 2/3 to fifteenths:
\((\frac{1}{5})(\frac{3}{3}) = \frac{3}{15}\)
\((\frac{2}{3})(\frac{5}{5}) = \frac{10}{15}\)
Now we can rewrite the expression using the common denominator:
\(3 + \frac{3}{15}+\frac{10}{15}\)
Please help what is the slope of the line?
Answer:
-5/4
Step-by-step explanation:
Let \((x_1,y_1)=(-4,4)\) and \((x_2,y_2)=(0,-1)\). The slope of the line would be:
\(\displaystyle \frac{y_2-y_1}{x_2-x_1}=\frac{-1-4}{0-(-4)}=\frac{-5}{4}=-\frac{5}{4}\)
Answer: -5/4
Step-by-step explanation:
To find the slope between two points, you can use the formula:
Slope = (y2 - y1)/(x2 - x1)
Using the points (0, -1) and (-4, 4), we can substitute the coordinates into the formula:
slope = (4 - (-1))/(-4 - 0)
slope = (4 + 1)/(-4)
slope = 5/-4
Therefore, the slope between the two points is -5/4.
The measure of one angle of a right triangle is 26°. Find the measure of the other angle.
Enter an integer or decimal number [more...]
Question Help:
Post to forum
Calculator
Answer:
64°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
let the third angle be x , then
x + 90° + 26° = 180°
x + 116° = 180° ( subtract 116° from both sides )
x = 64°
the other angle is 64°
Anyone know how to do this?
Answer:
They cannot form a triangle.
Step-by-step explanation:
A triangle can only be formed if the sum of the lengths of any 2 sides are greater than the 3rd side. 2 + 7 is less than 15, so this cannot be a triangle.
STATEMENTS KLASUN What could be the final reason in the proof below? ASA HL SAS CPCTC
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
Diagram
Step 02:
We must apply the properties of parallel and transversal lines.
Statements Reasons
AB || CD , AB = CD 1. Given
∠ ABD = ∠ CDB 2. Alternate interior angles
BD = DB 3. Reflexive Property
ΔABD = ΔCBD 4. Side-angle-side SAS
That is the full solution.
John's garden is 12ft long and 15ft wide. How
long is John's garden in yards?
Answer:
4 yards long
Step-by-step explanation:
John's garden is 12 ft long and 3 ft go into a yard. With this information you then divide 12 by 3 to see how many yards would go into the 12. 12/3=4
Answer:
4
Step-by-step explanation:
3ft = 1yd
They only want to know how long in yards not the rest so
12ft = ?yds
So set up the problem.
12/3 = x/1
Solve
1(12) = 12
12 divided by 3 = 4
John's garden is 4yds long
2 − 8 ÷ (24 ÷ 2)
............
............
Answer:
1.333333
Step-by-step explanation:
1) Simplify 24 / 2 to 12.
2 - 8 / 12
2) Simplify 8 / 12 to 0.666667.
2 - 0.666667
3) Simplify.
1.333333
Marbles, and 4 green marbles. The second bag contains 3 red marbles,2 blue marbles, and 4 green marbles. Aakesh will randomly select one marble from each bag. What is the probability that Aakesh will select a blue marble from each bag ?
The probability that Aakesh will select a blue marble from each bag is 4/45.
To find the probability that Aakesh will select a blue marble from each bag, we need to calculate the probability of selecting a blue marble from each bag and then multiply those probabilities together.
Let's start with the first bag, which contains 5 marbles: 2 red marbles, 2 blue marbles, and 1 green marble. The probability of selecting a blue marble from the first bag is:
P(Blue from first bag) = Number of blue marbles / Total number of marbles in the first bag
P(Blue from first bag) = 2 / 5
Now, let's move on to the second bag, which contains 9 marbles: 3 red marbles, 2 blue marbles, and 4 green marbles. The probability of selecting a blue marble from the second bag is:
P(Blue from second bag) = Number of blue marbles / Total number of marbles in the second bag
P(Blue from second bag) = 2 / 9
To find the probability of both events happening (selecting a blue marble from each bag), we multiply the individual probabilities together:
P(Blue from both bags) = P(Blue from first bag) * P(Blue from second bag)
P(Blue from both bags) = (2 / 5) * (2 / 9)
P(Blue from both bags) = 4 / 45.
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FIND THE AREA PLEASE HELP ILL GIVE BRAINLIESTTTT
Answer:
28.8 yd^2
Step-by-step explanation:
The area of a triangle is calculated using the following formula:
1/2*b*h (b: base, h: height)
The height in this triangle is 6.4 yd and the base is 9 yd
1/2*9*(6.4) = 28.8
In an RPG game, each player can choose among 5 basic classes: Mage, Warrior, Archers, Priests, Monks. Each basic class can advance to 4 sub-classes. If each character can have two sub-classes at the same time, how many different combinations are there?
Answer:
In RPGs a Character Class is a designation that determines a player's abilities and fighting style (and depending on the game possibly even their origin, education, and home area) often in the form of a job or archetype. A character class is defined by the abilities that it lends to a character — as such, two different characters with the same class are theoretically interchangeable, in that they have the same "power set" and can play the same role in gameplay because of their similar abilities. However, character class systems can come with varying levels of customization — ranging from characters of a given class being literally identical to having so much variety that character class is no longer even a good indicator of that character's abilities. While most common in fantasy Role-Playing Games, they have recently began to appear in other genres, such as trading card games and MOBAs.
Step-by-step explanation:
The results of a common standardized test used in psychology research is designed so that the population mean is 155 and the standard deviation is 40. A subject earns a score of 247. What is the z-score for this raw score
Answer: a carrot
Step-by-step explanation:
Given that the perimeter of an equilateral triangle is 63 inches, find the height/altitude of the triangle.
The height of the triangle is h = 18.18 inches
Given data ,
In an equilateral triangle, all three sides are equal in length.
Let the length of each side be s
Now , the perimeter of the equilateral triangle is given as 63 inches, so we have:
Perimeter of the triangle = 3s = 63 inches
Dividing both sides by 3, we get:
s = 63/3 = 21 inches
Let's now plot an altitude from one of the equilateral triangle's vertex to the side's midway. As a result, two right-angled triangles will be formed, each with the hypotenuse "s" and sides "s/2" and "h"
From the Pythagoras theorem , we get
(h²) + ((s/2)^2) = s²
Substituting the values we found earlier for "s", we get:
(h²) + ((21/2)²) = 21²
Simplifying further, we have:
(h²) + (10.5²) = 21²
(h²) + 110.25 = 441
Subtracting 110.25 from both sides, we get:
h² = 330.75
On taking square roots on both sides , we get
h = √(330.75)
h ≈ 18.18 inches
Hence , the height of the equilateral triangle is 18.18 inches
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Mark is going to an awards dinner and wants to dress appropriately. He is running behind schedule and asks his little brother to randomly select an outfit for him.
Mark has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie. All six of his possible outfits are listed below.
Let
A
AA be the event that Mark's little brother selects an outfit with a white shirt and grey slacks and
B
BB be the event that he selects an outfit with a black shirt.
What is
P
(
A
or
B
)
P(A or B)P, left parenthesis, A, start text, space, o, r, space, end text, B, right parenthesis, the probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt?
19) Grace competes on her school's archery team. On average she hits a bullseye 2 out of every 3
arrows. She shoots 5 arrows during each round of competition. Describe a simulation that you
could run to estimate the number of bullseyes Grace will hit during her next round. Explain
In order to simulate the amount of bullseyes that Grace will strike during her upcoming turn, we can carry out the following steps:
Within each loop cycle, generate 5 random integers between 0 and 1 to represent the likelihood of hitting a bullseye with each missile.
Accumulate the total number of bullseyes achieved for each round by adding the number of times the generated figure is less than or equal to 2/3.
After successfully running the simulation through 10,000 rounds, divide the total number of bullseyes hit by 10,000 to get the average number of bullseyes struck every round.
Finally, state the expected number of bullseyes that Grace will hit on her next turn by saying the average from step 4.
As a result, by prudently repeating numerous rounds, our algorithm can factor in the differential element instinctive throughout this process and eventually obtain a more precise tally of the predicted number of bullseyes Grace may potentially hit during her upcoming turn.
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Which of the following describes GE check all that applyDF=18
Since DF=18; then,
\(\begin{gathered} DF=18 \\ \text{and} \\ DF=FG+GD \\ \Rightarrow FG+GD=18 \\ \Rightarrow3a+a+6=18 \\ \Rightarrow4a=12 \\ \Rightarrow a=3 \\ \end{gathered}\)Therefore,
\(\begin{gathered} \Rightarrow FG=9,GD=9 \\ \Rightarrow\Delta\text{EFG}\cong\Delta EDG \end{gathered}\)\(\begin{gathered} \Rightarrow\angle FEG\cong\angle\text{DEG} \\ \Rightarrow EG\text{ is angle bisector of }\angle E \end{gathered}\)Furthermore, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side. As we proved above, G is the midpoint of segment FD; thus, GE is a median of triangle DEF.
However, we do not have any information regarding the angles besides
Hence, the answers are Angle bisector and Median.