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:1.25
Step-by-step explanation:
If you add everything it makes 3 and 1/3 pounds you want 5
If you divide 5 by 3 and 1/3 it's 1.5
Then you just need to multiply 5/6 by 1.5
Answer:
x = 1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4x−
5
5
=3
4x+−1=3
4x−1=3
Step 2: Add 1 to both sides.
4x−1+1=3+1
4x=4
Step 3: Divide both sides by 4.
4x
4
=
4
4
x=1
Answer:
Step-by-step explanation:
6y = -3x - 3
y = -1/2x - 1/2
perp. 2
y + 5 = 2(x - 1)
y + 5 = 2x - 2
y = 2x - 7
This equation in numbers:
(-8x)^6 • (4x)^2
(262144•x^6) • (16x^2)
4,194,304x^8
