Value of x when angles ABC and DBE are vertical angles where
M_ABC=(5x+ 5)° and m_DBE=(6x-3)° is 8°.
Vertical angles are complementary as there sum is 90°.
As given,
Part A:
Angles ABC and DBE are vertical angles m_ABC=(5x + 5)°
M¿DBE=(6x- 3)°
(5x+ 5\°=(6x - 31
=(6x - 5x)°=(5 +3)°
8°
Part B:
Vertical angles are complementary if there sum is 90°.
Here
m_ABC + m_DBE
5(8)+5 +6(8)-31°
= 90°
Answer:
#7. JK = 1
Step-by-step explanation:
So all these problems are similar in the fact that you are given three pieces of information and you need to determine x. Let's look at #7.
We are to find the length JK but we are given it in terms of x. To find the length, we need to find x. Using the information we have about KL and JL, we can find this. Note, the value of JL is 5, and the value of KL is x + 8.
JK + KL = JL
( 2x + 9 ) + ( x + 8 ) = 5
3x + 17 = 5
3x = -12
x = -4
Now that we have the value of x, we can find the value of JK:
JK = 2x + 9
JK = 2(-4) + 9
JK = -8 + 9
JK = 1
Hence, the length of JK is 1.
Using this same basic idea, you can solve all of these problems.
Cheers.
The answer is the first one
Answer:
8 units
Step-by-step explanation:
» <u>Concepts</u>
Parallelogram Side Theorem states that the opposite sides of a parallelogram are congruent, meaning they have the same length.
» <u>Application</u>
In this case, we're asked to apply the theorem to find the value of q and then find the length of AB. Thus, we have to set up the equation 4q - 8 = q + 4.
» <u>Solving</u>
Step 1: Subtract q from both sides.
Step 2: Add 8 to both sides.
Step 3: Divide both sides by 3.
Step 4: Plug in the value of q for side AB.
Therefore, the answer is 8 units.
