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:
2a-9=2a-9
<em>Infinitely Many Solutions</em>
Step-by-step explanation:
2(a-8)+7=5(a+2)-3a-19
<em>Use Distributive Property</em>
2a-16+7=5a+10-3a-19
<em>Combine Like Terms</em>
2a-9=2a-9
<u><em>You don't have to go further unless it helps</em></u>
Distance Sun - Saturn = 1.5 x 10⁹
Distance Sun - Venus = 1.1 x 10⁸ OR 0.11 x 10⁹
How many more km is the distance from the Sun than the distance of Venus from the Sun:
1.5 x 10⁹ - 0.11 x 10⁹
10⁹(1.5 - 0.11)
10⁹(1.39), ANSWER : 1.39 X 10⁹ km
8x + 7 - 2x - 4 = (8x - 2x) + (7 - 4) = 6x + 3
<h2>
Answer: D. 6x + 3</h2>
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