WILL GIVE BRAINLEST PLEASE HELP

Polygon ABCD, shown in the figure, is dilated by a scale factor of 8 with the origin as the center of dilation, resulting in the

saveliy_v [14]

C = (5,4)

D = (4,2)

Dilation with factor 8 => for the same x, y increase by a factor of 8

=> C' = (5, 8*4) = (5, 32)

=> D' = (4, 8*2) = (4, 16)

slope of C'D' = [32 - 16] / [5 -4 ] =16

You can also see that the slope of CD = [4 - 2] / [5 - 4] = 2

Then, the new slope is 8 times the old slope, this is it was multiplied by the same factor, 8.

Answer: 16

7 0

3 years ago

Read 2 more answers

A running circuit is in the shape of a triangle with lengths of 6km, 6.5km and 7km. What are the sizes of the angles (in minutes

Rudik [331]

A triangle is an example of a class of figures referred to as plane shapes. It has three straight sides and three internal angles which sum up to $180^{o}$ . The measures of the internal angles of the triangle given in the question are A = $52.6^{o}$ , B = $59.4^{o}$ , and C = $68^{o}$ .

A triangle is an example of a class of figures referred to as plane shapes. It has three straight sides and three internal angles which sum up to $180^{o}$ .

Considering the given question, let the sides of the triangle be: a = 6 km, b = 6.5 km, and c = 7 km.

Apply the Cosine rule to have:

$c^{2}$ = $a^{2}$ + $b^{2}$ - 2ab Cos C

So that;

$7^{2}$ = $6^{2}$ + $(6.5)^{2}$ - 2(6 * 6.5) Cos C

49 = 36 + 42.25 - 78Cos C

78 Cos C = 78.25 - 49

= 29.25

Cos C = $\frac{29.25}{78}$

= 0.375

C = $Cos^{-1}$ 0.375

= 67.9757

C = $68^{o}$

Apply the Sine rule to determine the value of B,

$\frac{b}{Sin B}$ = $\frac{c}{Sin C}$

$\frac{6.5}{Sin B}$ = $\frac{7}{Sin 68}$

SIn B = $\frac{6.5 *Sin 68}{7}$

= 0.861

B = $Sin^{-1}$ 0.861

= 59.43

B = $59.4^{o}$

Thus to determine the value of A, we have;

A + B + C = $180^{o}$

A + $59.4^{o}$ + $68^{o}$ = $180^{o}$

A = $180^{o}$ - 127.4

= 52.6

A = $52.6^{o}$

Therefore the sizes of the internal angles of the triangle are: A = $52.6^{o}$ , B = $59.4^{o}$ , and C = $68^{o}$ .

For more clarifications on applications of the Sine and Cosine rules, visit: brainly.com/question/14660814

#SPJ1

8 0

2 years ago

Mrs. Johnson spent $611 buying lunch for 78 students. If all the lunches were the same cost, about how much did she spend on eac

Tresset [83]

Each lunch cost around $7.83

4 0

4 years ago

What is the value of the expression

prisoha [69]

Answer:

6

Step-by-step explanation:

Follow the PEMDAS rule.

Parentheses

Exponent

Multiplication

Division

Addition

Subtraction

By following that rule, you know that you have to take care of the exponent first. 1/2 to the fourth power is 1/16. Then the next step in pemdas is to multiply that with 48, which is 3. The you subtract 3 from 9.

Hope this helps <3

8 0

2 years ago

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Hi! i need help finding the area of this shape! thank you

sweet [91]

Define the area of the shape you take 5×3 = 15 area of the shape is 15

4 0

2 years ago