Answer:
a. Isosceles
b. It has two equal angles
Step-by-step explanation:
✅<DCA = <BAC = 50° (alternate interior angles are congruent)
<ACB = 180 - (<BAC + <ABC) (sum of triangle)
<ACB = 180° - (50° + 80°) (substitution)
<ACB = 50°
✅∆ABC is an isosceles triangle judging from the measure of its three angles. ∆ABC has two equal angles. ∆ABC is therefore an isosceles ∆.
If Jonny was 21 years old . He is 3 times as old as Becky determined Becky’s age
Answer:
Becky is 7 years old.
Step-by-step explanation: Let b - Becky's age ; Equation - 3b = 21. Divide both size by 3 to isolate the variable.
Answer:
Becky's 7 seven years old
Step-by-step explanation:
If 21 = 3x
x = 21/3
x = 7
Hope this helps :)
Pls brainliest...
Given AC=LN and BA=ML, which statement must be true?
Answer: BC<MN
Step-by-step explanation:
Answer: BC <MN
Step-by-step explanation: i just took the test on eginuity
In the similar triangles below , what is the measure of D
The measure of angle D is 45°
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths. When two triangles are similar, the corresponding angles are equal.
And also the ratio of corresponding sides of similar triangles are equal.
To know the corresponding angles
side AC is corresponding to side EF, therefore angle D is congruent to angle A
angle D = 45°
OR , we can use the sum of angles In a triangle , which is 180°
angle D = 180 -( 72+63)
= 180 - 135
= 45°
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A researcher wants to develop a product for families who have small children. He needs to determine if there is a nationwide interest in a toy that will help children describe their emotions. He asks only a sample of the population to complete his survey. What should be true of the sample so that the results of the survey can be used to predict the results of surveying the population?
The size of the sample should be the same size as the population.
The families included in the sample should represent the families in the population.
The families included in the sample cannot be included in the population.
The size of the sample should be larger than the size of the population.
Answer:
B.The families included in the sample should represent the families in the population.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Just cuz
The area of a circle with radius r is given by the formula A = (pi)r^2. If a circle has area 4(pi) square inches, what is the radius?
Answer:
\(\displaystyle 2\:in.\)
Step-by-step explanation:
\(\displaystyle {\pi}r^2 = A \\ \\ \frac{{\pi}r^2}{\pi} = \frac{4\pi}{\pi} \hookrightarrow \sqrt{4} = \sqrt{r^2} \\ \\ \boxed{2 = r}\)
I am joyous to assist you at any time.
I need help with this math
Answer:
500 and 4.3
Step-by-step explanation:
A decigram is one-tenth of a gram and a kilometer is one-thousandth of a meter. Using this information, we must multiply the given amounts by the values.
5000 × 0.1 = 500
4300 × 0.001 = 4.3
Thus, the answers [in order] are 500 and 4.3
Hope this helps and feel free to ask any questions.
260 students were surveyed on whether they prefer apple juice or orange juice. A table of relative frequencies is shown. How many more girls prefer apple juice than boys
Answer:
We need a picture of the screen plz
Step-by-step explanation:
The probability that Ismael makes a basket is 7/10. If he shoots 100 baskets, how many can he expect to make?
Answer:
70 baskets
Step-by-step explanation:
Let b be the number of baskets he will make if he shoots 100 baskets.
\(\frac{7}{10} =\frac{b}{100} \\700=10b (now divide by 10 from both sides)\\\)
write an expression that mean "eight less than product of seven and X".
Answer:
7x - 8
Step-by-step explanation:
eight less than product of seven and X
seven and x = 7x
eight less than = - 8
put it all together = 7x - 8
Answer:
7x - 8
Step-by-step explanation:
product of seven and X
7 X x = 7x
8 less than it
7X - 8
This is because we're looking for something that is smaller than 7X by 8
using the distributive property, rewrite the expression (-2x - 8) (-6)
please help and explain how to do it
Answer:
2x8=16-6=10
Step-by-step explanation:
10 is the answer
C and D are two events such thatP(C)=0.6,P(D)=0.5andP(C∩D)=0.4Calculate P(C|D). Give your answer as a fraction in its simplest form.
Thanks!
A 10 meter ladder is leaned up against a building. If
the angle of elevation is 60 degrees, what is the
height of the building?
Answer:
8.7
Step-by-step explanation:
Use trigonometry. The ladder and the building form a right triangle with the ground. You are given the length of the hypotenuse and the base angle. You use sine since we are trying to figure out the opposite side from the angle and we have the hypotenuse length. Sin = opposite/hypotenuse. So in this case, sin 60°= x/10. We solve for x by multiplying both sides by 10. Now x= sin 60° (10) = (0.8660)(10) = 8.7 m.
determine what type of model bets fits the given situation: A $500 raise in salary each year
The type of model that best fits the situation of a $500 raise in salary each year is a linear model.
In a linear model, the dependent variable changes a constant amount for constant increments of the independent variable.
In the given case, the dependent variable is the salary and the independent variable is the year.
You may build a table to show that for increments of 1 year the increments of the salary is $500:
Year Salary Change in year Change in salary
2010 A - -
2011 A + 500 2011 - 2010 = 1 A + 500 - 500 = 500
2012 A + 1,000 2012 - 2011 = 1 A + 1,000 - (A + 500) = 500
So, you can see that every year the salary increases the same amount ($500).
In general, a linear model is represented by the general equation y = mx + b, where x is the change of y per unit change of x, and b is the initial value (y-intercept).
In this case, m = $500 and b is the starting salary: y = 500x + b.
geometry need help asap
The value of angle LAF in the intersecting chords is determined as 104⁰.
What is the value of angle LAF?The value of angle LAF is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.
Also this theory states that arc angles of intersecting secants at the center of the circle is equal to the angle formed at the center of the circle by the two intersecting chords.
m∠LAF = ¹/₂ (arc LF + arc YS)
From the diagram, we have arc LF = 160⁰ and YS = 48⁰
m∠LAF = ¹/₂ (160 + 48)
m∠LAF = 104⁰
Thus, the value of angle LAF is calculated by applying intersecting chord theorem.
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4. Evaluate the following expression: 3(7 – 5) + 8(9 + 2) OA. 94 B. 114 O C. 80 OD. 90 4
Answer:
A.) 94
Step-by-step explanation:
Which of the following subsets of R3 are subspaces? (a) All vectors b (bi, b2,bs) 0. (b) All vectors b with first component bi1 (e) The vectors b with bybh - o. (d) The vector b = (0,0,0)" (e) All linear combinations of the two vectors x = (1,1,0)T and x-(2,0, 1)T, (f) All vectors that are perpendicular to the vector (1,-1,3)7 (g) All vectors x that satisfy Ax - b for some 3 x 3 matrix A and nonzero vector b e R". with first component bi-_
(c) & (e) are subspaces of R3, while (a), (b), (d), (f), and (g) are not.
(a) Not a subspace since the condition b1, b2, b3 ≠ 0 is not closed under scalar multiplication and addition.
(b) Not a subspace as the constraint on the first component does not allow for closure under scalar multiplication and addition.
(c) A subspace, as the condition by = bh = 0 is closed under scalar multiplication and addition.
(d) The zero vector (0,0,0) is always in a subspace.
(e) A subspace, as the set of all linear combinations of two vectors is closed under scalar multiplication and addition.
(f) Not a subspace, as the set of all vectors perpendicular to a single vector does not close under scalar multiplication and addition.
(g) Not a subspace, as the set of all vectors satisfying a single matrix equation is not closed under scalar multiplication and addition.
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Solve the inequalities. State whether the inequalities have no solutions or real solutions.4( 3 - 2x) > 2( 6 - 4x)
Given an inequalities show if it have no solutions or real solutions:
\(4(3-2x)>2(6-4x)\)Step 1: Expand the inequalities
\(\begin{gathered} 4(3-2x)>2(6-4x) \\ 12-8x>12-8x \end{gathered}\)Step 2: Subtract 12 from both side of the inequalities
\(\begin{gathered} 12-8x>12-8x \\ \text{subtract 12 from both side} \\ 12-8x-12>12-8x-12 \\ -8x>-8x \end{gathered}\)Step 3: Add 8x to both side of the inequalities
\(\begin{gathered} -8x>-8x \\ \text{add 8x to both side} \\ -8x+8x>-8x+8x \\ 0>0 \end{gathered}\)Therefore the solution for the above inequalities is No solution
Someone please help and show work
Mean - this is the average. Add up the numbers and divide by the count of the numbers in the data set.
11+13+14+16+17+18+20+20+21+24+25+29 = 228
There are 12 numbers, so divide by 12.
228/12 = 19. The mean is 19.
Median - - - this is the MIDDLE number. Your data is already in numerical order (hooray!) so there are 12 numbers. Since it's even, we'll take the average of the 2 middle numbers. The 6th number is 18 and the 7th number is 20. The average of these is 19. So the median is 19.
(Side note: yes, median and mean can be the same.)
Mode - - - this is repeat/most common numbers! 20 repeats. 20 is the mode.
Range - - - biggest number is 29, littlest is 11. The range is 29-11 = 18.
The volume of a cube, in cubic centimeters, is given by the function V(x) = x3, where x is the side length of the cube in centimeters. Write a new function for the volume of the cube in cubic millimeters.
I think we can all agree that 1 centimeter=10millimeters.
And if x is the side in centimeters then 10x will be the side in millimeters.
We just need to rewrite x^3 into (10x)^3.
Because you need to do the exponent to all part of the ( )...
(10x)^3=1000x^3
V(x)=1000x^3 cubic millimeters is the answer
Hence, a new function for the volume of the cube in cubic millimeters is \(V(x)=1000x^3\).
What is the volume of cube?
The volume of a cube is defined as the total number of cubic units occupied by the cube completely.
A cube is a three-dimensional solid figure, having six square faces. Volume is nothing but the total space occupied by an object.
Here given that,
The volume of a cube, in cubic centimeters, is given by the function \(V(x) = x^3\), where \(x\) is the side length of the cube in centimeters.
As, \(1\) centimeter=\(10\)millimeters.
If the side is \(x\) then the side in millimeter is \(10x\).
So, we have \(x^3\) which would be \((10x)^3\)
\((10x)^3=1000x^3\)
Then,
\(V(x)=1000x^3\) cubic millimeters.
Hence, a new function for the volume of the cube in cubic millimeters is \(V(x)=1000x^3\).
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Determine the amplitude or period as requested . Amplitude of y = - 1/3 * sin x
Answer: amplitude and period are two different things. The amplitude is -1/3, and the period is 360 degrees.
Step-by-step explanation: to find the amplitude, you just look at what number is in front of sin. If there isn't one, an amplitude of 1 is implied (in this case. Keep in mind that different functions have different standards).
To find the period, you take term b (which is what comes after sin). In this case, b is 1 because there's no specific number there. Again, it's implied. Because this is sin and not tan, for example, you take 360/b=period. 360/1=360 degrees.
hlep me pls daddddddddddddddddddddddddddddddddy
Answer:
The equation would be 2(n+3)-6. So A.
Step-by-step explanation:
It is asking you to subtract first and you cannot do that without parentheses.
Answer:
First ONE
Step-by-step explanation:
First you are adding 3
n+3
then you mulitply by 2
so, its 2(n+3), you have to put in bracket because you want to do addition first
then you subtract everything by 6
its 2(n+3)-6
which Best describes the rule for this pattern 1, -12, 12, -1, . . .
An archaeologist found a fossil whose length is489.44 in.
Consult the conversion table to calculate the length of the fossil infeet.
Round your answer to the nearest tenth.
If the archaeologist found a fossil whose length is 489.44 inches, using the conversion table, the length in feet, to the nearest tenth, is 40.8 feet.
What is the conversion table?The conversion table refers to the tabulated standard units of measurement, showing temperature, length, area, volume, weight, and metric conversions
For instance, the conversion table shows that 12 inches equal 1 foot.
The length of the fossil = 489.44 inches
12 inches = 1 foot
489.44 inches = 40.8 feet (489.44 ÷ 12)
Thus, using the conversion table, which relies on multiplication or division operations using the conversion factors, the length in feet of the fossil is 40.8 feet.
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mother bought a basket for 10% discount.how much is the tag price if the price was Php250.00?
Answer:
The tag price would be 275 dollars.
Step-by-step explanation:
10% of 250.00 is 25. But the tag price is without the discount and the 250.00 is with the discount. So, if you add 25 to 250 you get 275.
problem 1. 6(x-2) = - 18
problem 2. 17 = 5k - 2
please help
A rectangle is 3 yards long and į yards wide . What is the area of the rectangle? Enter your answer as a fraction in simplest form by filling in the boxes
Answer:
the area is 3i as a fraction would be 3i/1
Step-by-step explanation:
Thanks
For a rhombus, which of the following statements are true? (select all that apply)
1)Opposite sides are parallel
2)All sides are congruent
3)Consecutive angles are congruent
4)Consecutive angles are supplementary
5)All angles are congruent
6)Opposite angles are congruent
Answer: 1,4,6
Step-by-step explanation:
https://quizlet.com/483245104/geometry-parallelogram-quiz-flash-cards/
√2x² + 7x + 5√2 = 0
find the roots of the following quadratic equation by factorization method
PLS HELP ME FAST
Step-by-step explanation:
√2x² + 7x +√2=0
2x + 7x + √ 2 =0
√2=9x
x = o.15713484
On the coordinate plan, what is the distance between the points (−4, 6) and (9, 6)?
Answer: your answer is 13
Step-by-step explanation:
useing the distance formula for two points we will find your answer .
√((x2 – x1)² + (y2 – y1)²)
so we plug in your coordinates in the equation above and solve
√(9(-4))^2+(6-6)^2= √169
√169=13