Answer:
B. 61
Step-by-step explanation:
Given:
∆PQR ≅ ∆PQS
PQ = 2x + 41
QS = 7x - 24
QR = 3x + 16
Required:
Numerical value of PQ
SOLUTION:
First, create an equation to find the value of x as follows:
Since both triangles are congruent, therefore:
QS = QR
7x - 24 = 3x + 16 (Substitution)
Collect like terms
7x - 3x = 24 + 16
4x = 40
Divide both sides by 4
4x/4 = 40/4
x = 10
Find PQ by plugging x = 10 into PQ = 2x + 41
PQ = 2(10) + 41
PQ = 20 + 41
PQ = 61
12 ft is your answer hope that helps
Answer: 1ST ONE CUZ THE LINE IS AT A CERTAIN ANGLE AT A POINT TO MATCH THE FIRST ANSWER
Step-by-step explanation:
Answer:
angle DGE= 24 Degree
arc GF= 146degree
Step-by-step explanation:
angle DGE is inscribed in arc DE and arc DE is 48 degree , as we know inscribed angle is half of the arc subyending it , so half of 48 is 24 degree
arc GF subtended the angle GEF which is equal to 73 degree , and this angle is inscribed , if we say inscribed angle is half of the arc subtending it , this means the arc is twice of inscribed angle , so twice of 73 is 146 degree so
angle DGE =24 degree &
ARC GF=146 degree
The answer to this question would have to be 5. In the statement given we can add 5 more that is 24 _ 5 equal to 29. Once the counter reaches 30, one must have to regroup by exchanging 10 ones for a 10 bar.Hence the answer to this problem would have to be 5 counters
