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Paul [167]
3 years ago
9

Find the measure of the marked angle

Mathematics
1 answer:
MissTica3 years ago
3 0

Answer:

13x + 5x = 90

18x = 90

x = 90/18

x = 5

first angel

5x = 5 × 5 = 25

second angel

13x = 13 × 5 = 65

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Use the Polygon tool to draw the image of the given quadrilateral under a dilation with a scale
Nataly [62]

Answer: See the picture attached.

Step-by-step explanation:

A Dilation is defined as  a transformation in which the image and the pre-image have the same shape, but their sizes are different.

When the scale factor is greater than 1, the image obtained after the  dilation is greater than the pre-image and it is an "Enlargement".

When the scale factor is is between 0 and 1,  the image obtained after the  dilation is smaller than the pre-image and it is an "Reduction".

In this case we know that the scale factor is:

scale\ factor=\frac{2}{3}

Since:

0

It is a Reduction.

You can identify that the vertices of the quadritaleral are:

(-3,0),(-9,-3),(-6,-9),(3,-6)

 So you need to multiply the coordinates of eac vertex by \frac{2}{3} in order to get the coordinates of the image.

Then, you get:

(\frac{(-3)(2)}{3},0*\frac{2}{3})=(-2,0)\\\\(\frac{(-9)(2)}{3}),\frac{(-3)(2)}{3})=(-6,-2)\\\\(\frac{(-6)(2)}{3},\frac{(-9)(2)}{3})=(-4,-6)\\\\(3*\frac{2}{3},\frac{(-6)(2)}{3})=(2,-4)

Now you can plot the points and draw the image of the given quadrilateral.

See the picture attached.

5 0
4 years ago
Please answer !!!! A student performed the following steps to find the solution to the equation x^2 - 2x - 8 =0 where did the st
attashe74 [19]
The answer would have to be c. When factoring, the two numbers have to multiply to give you -8 but add to give you -2. The correct factored answer would have been (x-4) (x+2) =0
8 0
4 years ago
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The price per share of a professional sports team increased from $58 to $65 over the past year. What is the stock’s percent incr
cupoosta [38]

Answer:

12%

Step-by-step explanation:

amount of change/original value×100%

note: any thanks would be appreciated. thank you!

7 0
4 years ago
Determine the lateral surface area and the total surface for the pyramid. Round your answer to the nearest whole number.
777dan777 [17]

Answer:

L = 704

S = 832

Step-by-step explanation:

Given

H = 22 --- Height

W = 8 --- Width

L=8 ---- Length

Solving (a): The lateral surface area (L)

This is calculated as:

L = 2 * (L + W) * H

This gives:

L = 2 * (8 + 8) * 22

L = 2 * 16 * 22

L = 704

Solving (b): The total surface area (T)

This is calculated as:

S = 2 * (LW + WH + LH)

This gives:

S = 2 * (8*8 + 8*22+ 8*22)

S = 2 * (64 + 176+ 176)

S = 2 * 416

S = 832

3 0
3 years ago
What is 20% off of $79.99?
MAXImum [283]
100% --- $79.99
1% --- $(79.99÷100) = $0.7999

20% off means 100% - 20% = 80%

80% --- $0.7999×80 = $63.992

Leave it to the nearest cent: $63.99 ---- Answer!

If you need further clarifications, leave a comment down below! I'll try my best to help you. :)
8 0
4 years ago
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