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.
The 9 combinations that exist for two movements:
R,R
R,L
R,U *
L,R
L,L
L,U
U,R *
U,L
U,U
Walker would only be able to make it to (1,1) with only 2 of these combinations.
So if he were only allowed to make two movements, his chances of arriving at (1,1) would be 2/9.
Answer:
that would be a square, a square has 4 equivalent sides and angles
Step-by-step explanation:
15-2(3-2x)=49
Distribute -2
15-6+4x=49
Subtract
9+4x=49
Move
4x=49-9
Subtract
4x=40
Divide by 4
X=10
Answer:
Step-by-step explanation:
Because if you add 18x to both sides of the equation, you get 0 = -18
Step-by-step explanation:
When you combine like terms in the equation, you get -18x = -18x - 18. After adding 18x to both sides, you have 0 = -18. This is not true, which means that there are no solutions to the equation.
