Remember the definition of vertical angles.
The angle between 7x+7 and 112 are vertical. They are congruent and with the same measure.
7x +7= 112
Subtract 7 on both sides.
7x= 105
Divide both sides by 7.
x= 15
I hope this helps!
~kaikers
1.
a. there are 16 nickels so circle 12
b. 12 times 5= 0.60
2.
a. 12 dimes
b. there are 12 dimes so circle 10 (1.00)
3.
a. 10 quarters
b. circle 6 quarters (0.70)
⇒If parallelogram A B CD is a rectangle, then Diagonals of parallelogram that is of rectangle will be of equal Length.
That is , Diagonal AC = Diagonal B D
⇒Given, AX= 3 y- 5
So, AC= 2 × (3 y- 5)→→[Diagonals of Parallelogram Bisect each other]
And, B D = 5 y
So,A C = B D ⇒→→Diagonals of a rectangle are equal.]
→2 ×(3 y - 5) = 5 y
→ 6 y - 10 = 5 y →→[Using Distributive Property of subtraction with respect to multiplication]
Combining Like terms that is Variables with Variables and Constant with Constant.
→ 6 y - 5 y = 10
→ y = 10
Answer:
Step-by-step explanation:
reflection
Answer:
C.
Step-by-step explanation:
The pattern is the amount of sides each shape has.
Triangle - 3
Rectangle - 4
Pentagon - 5
Logically, the next shape would be a hexagon, a shape with 6 sides.