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. 27 meters cubed
Step-by-step explanation:
The first step is to find the edge length of the small cube. The square root of 0.25 is 0.5, meaning that a larger cube with six times the edge length will have an edge of 0.5*6=3 meters. 3 meters cubed is 27 cubic meters, or option D. Hope this helps!
Answer:
11 1/5 ÷ 2 2/3= 4.2
Step-by-step explanation:
This is how I would work it out:
1st no. = x+1 2x+10=3(x+1)-7
2nd no. = x 2x+10=3x-4
x=14
1st no. is 15; 2nd no. is 14
To check: 28+10=38; three times the larger is 45; and 38 is 7 less than 45.
The answer in simplest for would be 7/8. What you basically do is multiply 7/10 by the reciprocal of 4/5 and that gives u the answer.