What is the relationship between angles A and B? They are congruent. They are complementary. They are supplementary. There is no relationship between them.
Answers
An image is attached to complete the question.
Answer:
The correct option is B
They are complementary.
Step-by-step explanation:
Angle A, and angle B in the attached image sum up to ninety degrees.
Two angles are said to be complementary if they add up to make ninety degrees. This characteristic makes us conclude that the two given angles, which are 59°, and 31°, have the sum: 59° + 31° = 90°, and are therefore, complementary.
The correct option is B.
If the attachment is not what completes your question, then knowing the meanings of supplementary angles, and congruent angles, is enough to help decide what option to choose.
Supplementary angles are angles that sum up to make one hundred and eighty degrees. (180°)
Congruent angles are angles that have the same shape and size.
Answer:
They are complementary.
Step-by-step explanation:
See attachment for the missing figure.
As in the figure, its the right angle triangle.
∠A+∠B=90° ( by complementary angles )
Lets verify now,
59°+31°=90° is correct
Angle A and Angle B are complementary angles
Related Questions
gabe goes to the mall. if k is the number of items he bought, the expression 17.55k+27 gives the amount he spent in dollars at one store. then he spent 24 dollars at another store. find the expression which represents the amount gabe spent at the mall. then estimate how much gabe spent if he bought 4 items.
Answers
Answer:
68.55
Step-by-step explanation:
according to a survey of advanced curriculum high school students, the mean time spent studying each day is 6.4 hours. assume the standard deviation is 0.80 hours and that the probability distribution is normal. what is the 80th percentile for number of hours spent studying each day? round your answer to 2 digits after the decimal.
Answers
The 80th percentile for the number of hours spent studying each day is 7.07 hours.
A data set with a normal distribution has the majority of its values clustered in the middle of the range, while the remainder taper off symmetrically toward either extreme. The term "standard deviation" refers to the degree of dispersion of the data from the mean. Data are grouped around the mean when the standard deviation is low, and are dispersed when the standard deviation is high.
The percentage of scores below a given value is shown by percentiles. They provide information about how a score compares to other scores.
Given Data :
Mean time (u) = 6.4 hour
Standard Deviation = 0.80 hour
It is given that the probability distribution is normal.
The formula for the z-score is z =( x- mean)/standard deviation
For the 80th percentile, the z value from the z table is 0.842.
We have,
0.842 = (x - 6.4)/0.8
0.842*0.8 = x - 6.4
0.6736 =x - 6.4
x = 0.6736 + 6.4
x = 7.0736
x = 7.07
Hence, the 80th percentile for the number of hours spent studying each day is 7.07 hours.
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Determine K so that f(x): x^3-9x^2+kx-8, has (x-4) as factor?
Answers
if k = 22, then (x-4) is a factor of equation f(x) = x³ - 9x² + 16x - 8.
Define factorizationFactorization is the process of expressing a mathematical expression, number, or polynomial as a product of simpler or more fundamental elements. In algebra, factorization involves finding the factors of a polynomial, which are the expressions that can be multiplied together to obtain the polynomial. For example, the polynomial x^2 + 3x + 2 can be factored into (x+1)(x+2).
If (x-4) is a factor of f(x), then x=4 will satisfy the equation
f(x) = x³ - 9x² + kx - 8.
0=(4)³-9(4)²+k(4)-8
88=4k
k=22
hence, if k = 22, then (x-4) is a factor of f(x) = x³ - 9x² + 16x - 8.
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1. What are the formulas for the two main types of energy?
Answers
Answers:
Kinetic Energy Formula: \(KE = \frac{1}{2} mv^2\)
Potential Energy Formula: \(PE=mgh\)
Explanations:
For KE:
Kinetic energy is directly proportional to the mass of the object and to the square of its velocity. If the mass has units of kilograms and the velocity of meters per second, the kinetic energy has units of kilograms-meters squared per second squared.
For PE:
In the above equation, m represents the mass of the object, h represents the height of the object and g represents the gravitational field strength (9.8 N/kg on Earth) - sometimes referred to as the acceleration of gravity.
Jason, Marita, Alice, and Marcus were on a road trip. Jason drove 400 miles, Alice drove 1/6 of the way, Marita and Marcus each drove 0.25 of the way. If they drove a total of 1200 miles, who drove the longest?
(Show your work please)
F Jason H Marita
G Alice J Marcus
Answers
Which form of volunteering would increase public awareness of cancer?
reducing barriers
identifying needs
speaking publicly
supporting a decision
I need help. What is 1/4 x = 3 ?
Answers
Answer:
12
Step-by-step explanation:
Multiply both sides by 4
Answer:
X=12
Hope it helps.
here,I did cross multiplicationtwo numbers with a sum of 15
Answers
Answer:
7+8=15
Step-by-step explanation:
find the slope of the line through each pair of points ( 3, 11) , (3, -10)
Answers
Answer:
undefined
Step-by-step explanation:
Since it is a vertical line and there is no run only rise.
pls help asap if you can!!!!
Answers
The statement that proves that angle XWY is equal to angle ZYW is
A. If two parallels are cut by a transverse, then alternate interior angles are congruent
What are alternate interior anglesAlternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.
When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.
In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles
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what degrees do you need to rotate a fan?
Answers
Answer:
360°
Step-by-step explanation:
degrees are needed
Is 6.9meters per second faster than 0.95 meters per second ?
Answers
Answer:
Yes
Step-by-step explanation:
Yes, because 6.9 > 0.95
Answer:
Yes
Step-by-step explanation:
Yes....about 7 times faster because 6.9 >> .95 meters
What is the product of (x + 6) and (x + 1) ?
Answers
(2y +13y+15) there’s your answer papi
Explain the difference between (-12) and -12
Answers
Answer:
0 or none
Step-by-step explanation:
jump the number line
find a basis of the subspace of that consists of all vectors perpendicular to both[1] [0][0] [1][-8] [-5][_]and[_][3] [-2][_] [_]
Answers
To find a basis of the subspace that consists of all vectors perpendicular to both [1] [0] [0] [1] [-8] [-5] and [_] [3] [-2] [_], we first need to find the cross product of the two given vectors.
[1] [0] [0]
[1] [-8] [-5]
[_] [3] [-2]
The cross product of these three vectors is:
[0] [0] [-3]
This vector represents the normal vector to the plane that contains the two given vectors. Any vector that is perpendicular to both of the given vectors will lie in this plane and be orthogonal to this normal vector.
Thus, we can set up the following equation:
[0] [0] [-3] • [x] [y] [z] = 0
Simplifying this equation gives: -3z = 0
This tells us that z can be any value, while x and y must be zero in order for the vector to be perpendicular to both of the given vectors. Therefore, a basis for the subspace of all vectors perpendicular to both [1] [0] [0] [1] [-8] [-5] and [_] [3] [-2] [_] is:[0] [0] [1]
or any scalar multiple of this vector.
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If the Federal Reserve sells $80,000 in Treasury bonds to a bank at 7%
interest, what is the immediate effect on the money supply?
OA. It is increased by $80,000.
OB. It is decreased by $85,600.
C. It is decreased by $80,000.
D. It is increased by $85,600.
Answers
Answer: D
Step by step explanation: the bank with 7% interest can get 7% incrementing (+5600$), because capitalism.
Answer: OB
Step-by-step explanation:
It is decreased by $80,000.
did the test
A Solve the equation 2y2 – 7y – 4 = 0 . b Use your answer to part a to solve the equation 2(2x)2 _ 7(2x) _ 4 = 0. [5] 9
Answers
Answer:
\((a)\ y = 4\ or\ y = -\frac{1}{2}\)
\((b)\ x = 2 \ or\ x = -\frac{1}{4}\)
Step-by-step explanation:
Solving (a)
\(2y^2 - 7y - 4 = 0\)
Expand
\(2y^2 +y - 8y - 4 = 0\)
Expand
\(y(2y + 1) -4(2y + 1) = 0\)
Factor out 2y + 1
\((y -4)(2y + 1) = 0\)
Split
\(y - 4 =0\ or\ 2y + 1 = 0\)
Solve:
\(y = 4\ or\ y = -\frac{1}{2}\)
Solving (b):
\(2(2x)^2 - 7(2x) - 4 = 0\)
Compare the above with the equation in (a)
\(2y^2 - 7y - 4 = 0\)
We have:
\(2x = y\)
So:
\(2x = 4 \ or\ 2x = -\frac{1}{2}\)
Solve for x in both cases
\(x = 2 \ or\ x = -\frac{1}{4}\)
Which is a linear function?
1.
The population of a town increases by 2% every 5 years.
The value of a $45,000 car depreciates 15% of its value each year.
2.
3
A radioactive substance decays by a factor of one-eighth each day.
4.
A gym charges a one-time membership fee plus a monthly fee of $19.99.
Submit Answer
Answers
Answer:
4. A gym charges a one-time membership fee plus a monthly fee of $19.99.
Step-by-step explanation:
Linear functions increase or decrease by the same amount at each interval.
For example, as the x value increases by 1, the y value increases by 5.
So, option 4 is correct, because the fee is the same each month.
The other answer choices are not linear because they increase or decrease by percentage values.
One problem with the arithmetic mean is that
A) it is influenced by outliers
B) sum of deviations from the mean is always 0
C) it does not take all observations into consideration
D) there can be multiple means
Answers
One problem with the arithmetic mean is that it is influenced by outliers. Because with the presence of outliers , the arithmetic mean will be pulled towards the outlier. So, the correct option is A) it is influenced by outliers.
The arithmetic mean is calculated by summing up all the observations in a dataset and dividing by the number of observations. While it is a commonly used measure of central tendency, it has some limitations. One of the main problems with the arithmetic mean is that it can be strongly influenced by outliers.
An outlier is an observation that is very different from the other observations in the dataset. When outliers are present, the arithmetic mean can be pulled towards the outlier and may not be a good representation of the typical value in the dataset. So, the answer is A) it is influenced by outliers.
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In hoopball, a field goal is worth 2 points and a foul shot is worth I point. Suppose a team scored 72 points and made 6 more field goals than foul shots. How many foul shots did the team make?
Answers
let field goal =2 points
foul shot = 1 point
let × = amount of times a foul shot was made
let 2x + 6(2) = amount of field gaols made
(x) + (2x + 6(2)) = 72
× + 2× + 12 = 72
3x = 60
× =20
20 = # of foul shots made
2(20) +12 = 52
52 = # of field goals made
suppose nine team members are se students and six are cpre students. how many groups of seven can be chosen that contain four se and three cpre students?
Answers
Answer: 2520 groups
Step-by-step explanation:
To calculate the number of groups that can be chosen with four SE students and three CPRE students, we need to consider the number of ways to select the students from each group separately.
The number of ways to choose four SE students from the nine available is given by the combination formula, denoted as "9 choose 4" or C(9, 4), and can be calculated as:
C(9, 4) = 9! / (4! * (9 - 4)!) = 9! / (4! * 5!) = (9 * 8 * 7 * 6) / (4 * 3 * 2 * 1) = 126
Similarly, the number of ways to choose three CPRE students from the six available is:
C(6, 3) = 6! / (3! * (6 - 3)!) = 6! / (3! * 3!) = (6 * 5 * 4) / (3 * 2 * 1) = 20
To determine the total number of groups, we multiply the number of choices for SE students and CPRE students:
Total number of groups = C(9, 4) * C(6, 3) = 126 * 20 = 2520
Therefore, there are 2520 different groups of seven students that can be chosen, consisting of four SE students and three CPRE students.
Which graph represents the solution to the inequality 2(b + 2) ≥ 24?
number line with open point at 10 with arrow pointing left
number line with closed point at 10 with arrow pointing left
number line with closed point at 10 with arrow pointing right
number line with open point at 10 with arrow pointing right
Answers
The graph that represents the solution to inequality 2(b + 2) ≥ 24 is given by the statement "number line with closed point at 10 with arrow pointing right" .
In the question ,
the inequality is given as
2(b + 2) ≥ 24
Solving the inequality further , we get
2b + 2*2 ≥ 24
2b + 4 ≥ 24
Simplifying further we get
2b ≥ 24-4
2b ≥ 20
b ≥ 10 .
Since the inequality has equal to sign, hence number line representing the inequality will have a closed point 10 ,
And on number line as the number increases the value move towards right ,
hence the arrow will point Right .
Therefore , the graph that represents the solution to inequality 2(b + 2) ≥ 24 is given by the statement "number line with closed point at 10 with arrow pointing right" .
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Answer: C number line with closed point at 10 with arrow pointing right
Step-by-step explanation:
I took the test and I got it right. :)
hope this helps
the radius of the earth is 4 times the radius of the Moon final ratio of the surface and their volume
Answers
The ratio of the surface area of the earth and the moon is 16 / 1 and the ratio of the volume of the earth and the moon is 64 / 1.
What is volume?The capacity occupied by a three-dimensional solid shape is known as volume. It is difficult to visualize in any shape, yet it may be compared among shapes. For instance, a compass box has a larger volume than an eraser placed inside of it.
Given:
The radius of the earth is 4 times the radius of the Moon, R = 4r
Calculate the ratio of the surface area of the earth and moon as shown below,
the surface area of the earth/surface area of the moon = 4πR² / 4πr²
the surface area of the earth/surface area of the moon = (4r)² / r²
the surface area of the earth/surface area of the moon = 16 / 1
Calculate the ratio of volume as shown below,
the volume of the earth/volume of the moon = 4 / 3 πR³ / 4 / 3 πr³
the volume of the earth/volume of the moon = (4r)³ / r³
the volume of the earth/volume of the moon = 64 / 1
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Determine if the following system of equations has no solutions, infinitely inany
solutions or exactly one solution.
2 + 2y = 2
-3x – 6y = -6
Infinitely Many Solutions
O One Solution
Submit Answer
No Solutions
Answers
Answer:
i want to complete me profile
Step-by-step explanation:
dont mind me
Answer:
one solution
Step-by-step explanation:
just took it
Convert 12/25 and 15 /35
Answers
15/35: 0.428571
Answer:
12/25 = .48
15/35 = .42857143...
The 100-meter dash times in the girls track meet were normally distributed with a mean of 13 seconds and a standard deviation of 0.3 seconds. What is the probability that a runner finished between 12.4 and 14 seconds?
Answers
Answer:
The probability is 0.97682
Step-by-step explanation:
We start by finding the z-values of the runner times given.
Mathematically;
z-score = (x-mean)/SD
From the question, mean = 13 seconds and SD = 0.3 seconds
So for 12.4 seconds, we have;
z = (12.4-13)/0.3 = -0.6/0.3 = -2
For 14 seconds, we have;
z = (14-13)/0.3= 1/0.3 = 3.33
So the probability we want to calculate is;
P(-2<z<3.33)
We can find this using the standard normal distribution table
Mathematically;
P(-2<z<3.33) = P(z<3.33) - P(z < -2)
Using the standard normal distribution table, the value of this is;
P(-2<z<3.33) = 0.97682
Use the equation y=3.2x + 5 to fill in the table.
Answers
Answer:
Step-by-step explanation:
Answer:yes
Step-by-step explanation:
What’s this problem
Answers
Answer:
use FOIL- Firsts Outsides Insides Lasts
Multiply the -4 and -3 as they are the first numbers of each brackets -4x-3=12Next the outsides so -4x6i as they are on the outskirts of each brackets -4x6i= -24iInsides so 3i and -3 as they are in the centre of the two brackets 3ix-3= -9i Lasts so 3i and 6i as they are at the end of each bracket 3ix6i=18i^2 ( i squared)add the answers together - 12+-24i+-9i+18i^2= 12-24i-9i+18i^2Simplify by adding like terms which is -24i and -9i. 12+-33i+18i^2 is the answerGiven an equilateral triangle with two vertices located at (-8, -5) and (3, 7), what is its perimeter?
Answers
well, we know is an EQUIlateral triangle, so all 3 sides are equal, so hmmm we can just get the distance between those two vertices and triple it for its perimeter.
\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-8}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{7})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[3 - (-8)]^2 + [7 - (-5)]^2}\implies d=\sqrt{(3+8)^2 + (7+5)^2} \\\\\\ d=\sqrt{265}\implies \stackrel{triple~that}{3\sqrt{265}} ~~ \approx ~~ 48.84\)
In an absolute value function if a < 0, does the graph open up or down?
Answers
Answer: upwards
Step-by-step explanation:
a<0<1 positive, opens up. negative opens down.
A rectangle has a length of 12 mm and a width of 15 mm. Which statement best describes the change in the
A new rectangle was created by multiplying all of the perimeter of the new rectangle?
dimensions by a scale factor of 3.
The new perimeter will be times the perimeter of
2
the original rectangle.
WI-
15 mm
5 mm
4 mm
The new perimeter will be times the perimeter of
the original rectangle.
The new perimeter will be 2 times the perimeter of
the original rectangle.
The new perimeter will be 3 times the perimeter of
the original rectangle.
12 mm
Answers
ANSWER:
The new perimeter will be 1/3 times the perimeter of the original rectangle.
;p :D
Answer:
1/3
Step-by-step explanation: