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: The vertex form is h(x)=(x-3)^2-6
Step-by-step explanation:
Using the complete the square method, first complete any squares
X^2-6x+(-3)^2-(-3)^2+3
Use the binomial formula
(x-3)^2 - (-3)^2 +3
Simplify
(x-3)^2-6
I got y^2/2
My Solution:
√9^2/18 · y^2
= 1/2 y^2
Multiply Fractions: a · (b/c) = (a · b)/c
1·y^2/2
=y^2/2
Hope I helped,
Faith xx
Subtract 24 from both sides.
z + 24 = 10
- 24 -24
z = -14
