m∠PQR = m∠BQR + m∠PQB
We have m∠PQR = 116° and m∠BQR = 75°. Substitute:
116° = 75° + m∠PQB <em>subtract 75° from both sides</em>
41° = m∠PQB
<h3>Answer: m∠PQB = 41°</h3>
The length of other leg is 60 units.
Step-by-step explanation:
Given,
Length of one leg = a = 45 units
Length of other leg = b
Length of hypotenuse = c = 75 units
Using pythagoras theorem

Taking square root on both sides

The length of other leg is 60 units.
Keywords: Pythagorean theorem, square root
Learn more about square root at:
#LearnwithBrainly
Answer:
21
ctto JBarnum
Step-by-step explanation:
P+11=(1/2)(P-13)^2
P+11=(1/2)(P^2-26p+169)
2(P+11)=(1/2)(2)(P^2-26p+169)
2P+22=P^2-26p+169
0=P^2-28p+147 ( -7 and -21)
(P-7)(P-21)=0
P=7,21 (cant be 7 as 13 years from 7 is negative so peter is 21)
checking:
21+11=32
32=(1/2)(21-13)^2
32=(1/2)(8)^2
32=(1/2)64
32=32
correct
Answer:
it would be 2
Step-by-step explanation:
Answer:
x = 3, y = 1
Step-by-step explanation:
2 raised to what power gives you 16?
2*2*2*2 = 16 so 2^4
3 raised to what power gives you 9?
3*3 = 9 so 3^2
the exponent cannot be negative so x has to be greater than y and x cannot be the same as y otherwise you will get a 0.
x = 3 , y = 1
2^(3+1) = 2^4 = 16
3^(3-1) = 3^2 = 9