The segment that will give the height of the peak is the segment that is located from the right angle to the peak.
To find the height, we can use the fact that we have two similar triangles.
We are going to define a variable.
We have:
x: height of the peak.
For similar triangles, we have the following relationship:
From here, we clear the height of the peak
Answer:
the equation for the proportion that will allow you to find the height of your peak is:
Should be 21 boys because 7+7+7 equal 21 and 3+3+3 equal 9 which equals 30
Answer:
From the given information, the value of a is 3 and the measurement of ∠R is 25°
Step-by-step explanation:
For this problem, we have to find the value of a and the measurement of ∠R. We are given some information already in the problem.
<em>ΔJKL ≅ ΔPQR</em>
This means that all of the angles and all of the sides of each triangle are going to be equal to each other.
So, knowing this, let;s find the measurement of ∠R first.
All triangles have a total measurement of 180°. We are already given two angle measurements. We are given that the m∠P is 90° because the small box in the triangle represents a right angle and right angles equal 90°. We are also given that the m∠Q is 65° because ∠Q is equal to ∠K so they have the same measurement. Now, let's set up our equation.
65 + 90 + m∠R = 180
Add 65 to 90.
155 + m∠R = 180
Subtract 155 from 180.
m∠R = 25°
So, the measurement of ∠R is 25°.
Now let's find the value of a.
KL is equal to PQ so we will set up an equation where they are equal to each other.
7a - 10 = 11
Add 10 to 11.
7a = 21
Divide 7 by 21.
a = 3
So, the value of a is 3.
Answer: 6
Step-by-step explanation:
4+(x-3) = 2x-5
x+1 = 2x-5
x=6
