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!
Line B is traveling faster. I know this because Line B has a steeper line than line A.
9 students in the class play in the school band.
30% of 30
Well, when doing a percentage you first turn the percentage into a decimal (move the % two units to the left). So 30% = 0.3
In math, the word of means multiplication, so: 0.3 x 30
Which equal 9.
You can also turn the percentage into a fraction, it's really up to preference.
30/100 of 30 = 3/10 of 30 = 3/10 x 30 = 3/10 x 30/1 = 9/1 or 9
Answer:
your answer would be 1/24
Step-by-step explanation:
this is because if you half it you get 5/120
then divide each by 5 to get 1/24
hope it helps!!