Answer:
a diagram is necessary. please provide a diagram.
Answer:
Step-by-step explanation:
u/4 + 9.9 = 16.9
Putting value of u = 24 in the equation
24/4 + 9.9 = 16.9
6 + 9.9 = 16.9
15.9 = 16.9
Bringing like terms on one
16.9 - 15.9 = 1
<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 :)
Answer:
The answer is
<h2>

</h2>
Step-by-step explanation:
To find the percentage increase we use the formula
<h3>

</h3>
From the question
The original value = 12
To find the change we subtract the smaller value from the larger one
That's
Change = 20 - 12 = 8
So the percentage increase is
<h3>

</h3>
We have the final answer as
to the nearest whole number
Hope this helps you
Answer:
hey,its option a
Step-by-step explanation:
because angle F= angle M and angle G= angle L
and angle H= angle N
To know third angle in ∆HGF
,we know sum of all angles in a triangle is 180°
______________________________
let angle H be unknown value x
x+51+36=180
x=180-87 ---------------- 1
similarly in ∆MNL
let angle be y
51+36+y=180
y=180-87----------------2
_______________________________
From 1&2 we observe qngle x= angle y
by AAA SIMILARITY THEY ARE SIMILAR