I'm pretty sure this is the answer:
(10)sin(40°) = AC
It's <em>sin </em>becasue it <em>needs </em>the opposite side of 40° and <em>has </em>the hypotenuse.
Answer:
The perimeter of △HFM is 50.75 units
Step-by-step explanation:
<u><em>The correct picture of the question in the attached figure</em></u>
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional, and this ratio is called the scale factor
we have
△HFM∼△PST ----> given problem
step 1
Find the scale factor
Let
z ----> the scale factor

substitute the given values

step 2
Find the perimeter of triangle PST
Remember that the perimeter of a triangle is the sum of its three length sides

step 3
Find the perimeter of triangle HFM
we know that
If two figures are similar, then the ratio of its perimeters is equal to the scale factor
so
The perimeter of triangle HFM is equal to the perimeter of triangle PST multiplied by the scale factor
so

<span>
<u><em>Answer:</em></u>d = 25
<u><em>Explanation:</em></u>To get the value of d, we will need to isolate the d on one side of the equation.
<u>This can be done as follows:</u>
</span>

<span>
<u>First, we will do cross multiplication as follows:</u>
40*15 = 24*d
600 = 24d
<u>Then, we will isolate the d as follows:</u>
24d = 600
</span>

<span>
d = 25
Hope this helps :)</span>
Answer:
a) 40 degrees b) 148 degrees
Step-by-step explanation:
a) Complementary angles are angles that in total measure 90 degrees, or form a right angle. If one angle is 50 degrees, then 90 - 50 = 40, meaning the measure of its complement will be 40 degrees.
b) Supplementary angles are similar but in total measure 180 degrees, or form a straight angle. If one angle measures 32 degrees, then 180 - 32 is equal to 148, meaning the measure of its supplement will be 148 degrees.