Answer:
m<SQP=124°
Step-by-step explanation:
Hi there!
We're given ΔQRS, the measure of <R (90°), and the measure of <S (34°)
we need to find m<SQP (given as x+72°)
exterior angle theorem is a theorem that states that an exterior angle (an angle on the OUTSIDE of a shape) is equal to the sum of the two remote interior angles (the angle OUTSIDE of a shape will be equal to the sum of 2 angles that are OPPOSITE to that angle).
that means that m<SQP=m<R+m<S (Exterior angle theorem)
substitute the known values into the equation
x+72°=90°+34° (substitution)
combine like terms on both sides
x+72°=124° (algebra)
subtract 72 from both sides
x=52° (algebra)
however, that's just the value of x. Because m<SQP is x+72°, add 52 and 72 together to get the value of m<SQP
m<SQP=x+72°=52°+72°=124° (substitution, algebra)
Hope this helps!
Answer:
D) x = -7.5
Step-by-step explanation:
x + 8 = 0.5
Subtract 8 from each side
x+8-8 = .5 -8
x = -7.5
-3(2x-9)=-3
We have to solve this equation.
-3(2x-9)=-3
-6x+27=-3
-6x=-3-27
-6x=-30
x=(-30)/(-6)=5
answer: x=5
Answer:
21
Step-by-step explanation:
126/3=42
126-42=84
84/4=21
63 are dogs
42 are cats
and 21 are rabbits
Answer:
Function A
Step-by-step explanation:
In function A as x increases by 1, y increases by 5.
In function B there is a slope of -4.5 which means as x increases by 1, y increases by -4.5.
Rate of change of 5 is greater than a rate of change of -4.5.
