<u><em>Answers:</em></u>
The corresponding angles of the triangles are congruent
The image is a reduction of the pre-image
Neither the dilation nor the rotation change the shape of the triangle
<u><em>Explanation:</em></u>
<u>For shapes to be similar:</u>
1- there should be a ratio between the sides
2- angles in first shape should be congruent to angles in second shape
Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes
<u>Let's check the choices:</u>
<u>1- </u><span><u>The corresponding sides of the triangles are congruent:</u>
This option is incorrect as dilation changes the lengths of the sides
<u>2- </u></span><span><u>The corresponding angles of the triangles are congruent:</u>
This option is correct as neither dilation nor rotation alters the measures of the angles
<u>3- </u></span><span><u>The corresponding sides of the image are 5 times as long as those of the pre-image:</u>
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image
<u>4- </u></span><span><u>The image is a reduction of the pre-image:</u>
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced
<u>5- </u></span><span><u>Neither the dilation nor the rotation change the shape of the triangle:</u>
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths)
<u>6- </u></span><u>The rotation reduces the size of the triangle:</u>
This option is incorrect as rotation does not alter the size of the shape. It only changes its position
Hope this helps :)
Using the information given we will only need the Cosine and Sine equations. i made a diagram (cant take a picture, in my study hall) labeled the sides of the triangle A, B, and C. with C as the hypotenuse, A as the Opposite, and B as the adjacent (will not be needed as A is the height). i will be rounding the th nearest thousandth.
Using Sine (SIN=Opposite/Hypotenuse), we can find A.
SIN(33)=A/4.4
SIN(33)≈.545
.545≈A/4.4
now multiply each side by 4.4 to get rid of the division
(.545*4.4)≈((A/4.4)4.4)
2.396≈A
so the answer would be that the slide is about 2.396 M high
Answer:
mp=2800
mp=cp+40%ofcp=cp+40/100×cp=1.4cp
2800=1.4çp
cp=2800/1.4=2000
discount=20%
profit%=?
Step-by-step explanation:
sp=mp-discount%of mp=2800-20/100×2800=2240
profit=sp-cp=2240-2000=240
profit%=profit/cp×100%=240/2000×100%=12%
Answer:
1) and 3)
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
Multiply both sides by 9 to eliminate the fraction
9K = 5(F + 459.67) ← divide both sides by 5
F + 459.67 =
K ( subtract 459.67 from both sides )
F =
K - 459.67