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The length of AB when A'B' is 8 is 12

The measurement of B' when angle B is 40° is also 40°

The measurement of A' when A is 80° is also 80°

The measurement of C using AB is 60°

Similar triangles are triangles that have the same angles and the ratio of their corresponding sides are equal.

Analysis:

ΔCA'B' is similar to ΔCAB.

Which means [tex]\frac{A'B'}{AB}[/tex] = [tex]\frac{CB'}{CB}[/tex] = [tex]\frac{CA'}{CA}[/tex]

A'B' = 8, CA' = 4, CA = 6

[tex]\frac{8}{AB}[/tex] = [tex]\frac{4}{6}[/tex]

4AB = 8 X 6

AB = 48/4 = 12

Line BA nd B'A' are parallel lines joined by two transversals BC and CA.

So, ∠B = ∠B' = 40°( corresponding angles are equal)

Also, ∠A = ∠A' = 80° ( corresponding angles are equal)

∠A + ∠B +∠C = 180( sum of angles in a triangle)

80 + 40 + ∠C = 180

120 + ∠C = 180

∠C = 180 - 120 = 60°

In conclusion,

The length of AB when A'B' is 8 is 12

The measurement of B' when angle B is 40° is also 40°

The measurement of A' when A is 80° is also 80°

The measurement of C using AB is 60°.

Learn more about similar triangles: brainly.com/question/2644832

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Answer:

Step-by-step explanation:

When looking for patterns in a sequence, it is useful to look at differences, ratios, and differences of differences. Here, the terms have a common ratio:

  405/-1215 = -135/405 = 45/-135 = -15/45 = -1/3

__

For this sequence, each number is -1/3 times the previous number.

The next number is (-15)(-1/3) = 5.

Answer:

mean: $13.50

median: $11

mode: $10

range: $26

hope this helps:)

Answer:

The mean is 13.5, median is 11, mode is 10, and for the range, it's 26

Step-by-step explanation:

For the mean, you add all the numbers up 4+30+10+12+10+20+12+10 = 108. Then you divide by how many terms there are which is 8 and then you get 13.5.

The median is the middle value in a list ordered from smallest to largest. So that is why you get 11.

The mode is the most frequently occurring value on the list and we can tell that 10 is the most occuring in this list.

Finally we have the range. To find the range you subtract the highest amount to the lowest amount. 30 - 4 = 26.

Answer:

B.

Step-by-step explanation:

Plug in those x and y values into your equations.

(x, y) = (5, 1)

2x + 5y = 15

2(5) + 5(1) = 15

10 + 5 = 15

5x + 10y = 35

5(5) + 10(1) = 35

25 + 10 = 35

This proves those values are true. So the answer is B.

Answer:

Step-by-step explanation:

what percent of 7 is 3.5

3.5 is half of 7, so 100%: 2 = 50%

Answer: 50%

I have shown two methods, both work well and can be used to solve other scenarios as well.

[Method One]

     We will set up a proportion and solve.

-> A percent divided by 100 is a decimal. This means 100% = 1 in our proportion

[tex]\frac{1}{7} =\frac{x}{3.5}[/tex]

7x = 3.5

x = 0.5

0.5 * 100 = 50%

[Method Two]  

     We will put the whole value in the denominator, and the "what percent of" value is the numerator.

[tex]\displaystyle \frac{3.5}{7}[/tex]

0.5

0.5 * 100 = 50%

Answer:

y = 50x + 900

Step-by-step explanation:

I used the slope formula (y = mx + b). y represents the total money she earns each month

all sides of a rectangular prism would be rectangles.

Answer: c. 6 rectangles only

Answer:

SA = 2,400 cm²

Step-by-step explanation:

Surface Area (SA) of a cuboid: 2(lw) + 2(wh) + 2(hl)

SA = 2(lw) + 2(wh) + 2(hl)

Substitute the values above and multiply:

SA = 2(lw) + 2(wh) + 2(hl)

SA = 2(20)(20) + 2(20)(20) + 2(20)(20)

SA = 2(400) + 2(400) + 2(400)

SA = 800 + 800 + 800

SA = 2,400 cm²

Final answer: 2,400 cm²

Hope this helps!

================================

[tex] \large \sf \underline{Direction:}[/tex]

================================

[tex] \large \sf \underline{Answer:}[/tex]

[tex] \qquad \qquad \huge \bold{2,400cm^{2} }[/tex]

================================

[tex] \large \sf \underline{Solution:}[/tex]

[tex] :\sf{SA=2(lw)+2(wh)+2(hl)}[/tex]

[tex]:\sf{SA=2(20)(20)+2(20)(20)+2(20)(20)}[/tex]

[tex]:\sf{SA=2(400)+2(400)+2(400)}[/tex]

[tex]:\sf{SA=800+800+800}[/tex]

[tex]\therefore\sf\underline{SA = \pmb{2,400cm^{2} }}[/tex]

Hence, the surface area that you are looking for is 2, 400cm².

================================

Answer:

C.

Step-by-step explanation:

x + y = 3

2x + 2y = 6

Multiply the first equation by 2:

2x + 2y = 6

This is the same equation as the second one.

So there are an infinite number of solutions.

Step-by-step explanation:

given points (2,0) and (-1,1)

let A(2,0) and B(-1,1)

A(2,0) B( -1,1 )

(x1 , y1) (x2 , y2)

AB = √(x2 - x1)² + (y2 - y1)²

= √(-1 - 2)² + ( 1 - 0 )²

= √(-3)²+ 1²

= √9 + 1

= √10

Therefore,distance between given points is √10

Answer: Not gonna spoon feed but the ratio is -3
6 * -3 = -18

-18 * -3 = 54
u should be able to get t4, t5 and t6 now by urself

Answer:

0 = x² - 9x + 20

4 is a solution for the system.

Step-by-step explanation:

y + 5x = x² + 10

y = 4x -10

Replacing the value of y in the first equation. This method is called sustitution.

(4x -10) + 5x = x² + 10

4x - 10 + 5x = x² + 10

4x + 5x - 10 = x² + 10    organizing.

9x - 10 = x² + 10             sum of similar terms.

0 = x² + 10 -9x + 10       organizing.

0 = x² - 9x + 10 + 10       organizing.

0 = x² - 9x + 20              sum of similar terms.

What happens if replace 4 in the equation.

0 = 4² - 9(4) + 20

0 = 16 - 36 + 20

0 = -20 + 20

0 = 0                            I find that 4 is a solution for the system.

Answer:

its b

Step-by-step explanation:

ab equal 76 because 4

x= V2 x-1

x-V2 x= -1

x+x = 1/V2

2x = 1/V2

x = 1/2V2

x = V2/4

Step-by-step explanation:

[tex]y - y_1 = m.(x - x_1)[/tex]

[tex]y - 8 = 9.(x - ( - 1))[/tex]

[tex]y = 9x + 9 + 8[/tex]

[tex]y = 9x + 17[/tex]

Answer:

[tex]\text{A. }\cos \theta = \frac{3}{5}[/tex]

Step-by-step explanation:

See attached file for complete work.

Answer:

First box is: decreasing

Second box: 0< b< 1

Third box: Up

Fourth box: Right

Step-by-step explanation:

Your question seems to be incomplete

Answer:

sqrt (98)

Step-by-step explanation:

The two 45 degree angles result in equal length legs in this right triangle ..

 use pythagorean theorem

7^2 + 7^2 = p^2

sqrt (98) = p  

Answer:

Constant of Proportionality is k = y/x

Step-by-step explanation:

k = 0.5/1 = 0.5

Answer:

k = 0.5

Step-by-step explanation:

the constant of proportionality is the slope of the line

using the point (1, 0.5 ) , then

k = [tex]\frac{y}{x}[/tex] = [tex]\frac{0.5}{1}[/tex] = 0.5

Your answer is B.

Vertical goes straight up and down.

Horizontal lines go side to side

A diagonal line is slanted.

BC is 14

DC and BC are equal

3y + 5 = 5y - 1

-3y

5 = 2y - 1

+1

6 = 2y

÷2

3 = y

y=3

Substitute y=3 into 5y-1, to find BC

5y-1

5x3 - 1

15 - 1

14

BC is 14

Hope this helps!

Answer:

Step-by-step explanation:

Let corner angle at C=α

tanα=12;BC=x;AC=xsecα

By a standard property of right angled triangles,

(xsecα)2=x(x+2)

simplify

x=BC=2tan2α=8.

The sketch is not proportionately drawn.Also

AB=4,AC=45–√

Answer:

h=12

Step-by-step explanation:

by cross multiplying we get 1h=12 or h=12 so h=12

Answer:

pair 1:  (0, - 24)

pair 2: (1, -12)

Step-by-step explanation:

y = 12x − 24

A pair of values that make the linear equation true:

the easiest value is always 0!!

if x = 0 than plug it in to find y

y = 12(0) − 24 → y = -24

so the pair is (0, - 24)

if x = 1 than plug it in to find y

y = 12(1) − 24 → y = 12 - 24

so the pair is (1, -12)

Answer:

2.3

CAN I GET BRAINLIEST PLEASE

Step-by-step explanation:

Answer:

Step-by-step explanation:

We know that:

What we DON'T know is:

Solve for the decimal:

Answer is 2.3.

Step-by-step explanation:

Answer:

5/8

Step-by-step explanation:

3 + 1/2 - 2 - 7/8

⇒ 3 - 2 = 1

1/2 - 7/8 = ?

⇒ 4/8 - 7/8 = -3/8

1 - 3/8 = 5/8

Alternative approach:

7/2 - 23/8(converted mixed numbers to fractions)

(7 × 8) - (23 × 2) ÷ 2 × 8

= 56 - 46 ÷ 16

= 10/16

= 5/8

The probability of getting exactly two tail is 1/4.