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:
$720
Step-by-step explanation:
$20000 - 100%
$x. - 2.5%
x=(20000*2.5)/100=500
20000+500=$20500 in one year (Mark)
20000 - 100
x. - 6.1
x= (20000*6.1)/100 = 1220
20000+1220= $21220 (Walter)
21220-20500= $720 more (Walter will have after 1 year)
Use the velocity formula and solve for time.v=d/t
t=d/v
Substitute your variables and solve.
65 mi/hr = 65 / 3600 mi/second
25 mi / ( 65/3600) = 1384.6 seconds
Answer:
It can be filled 15 times
Step-by-step explanation:
If 5 casks hold 120 gallons each,
5x120= 600
To find how many times a 40gallon barrel can be filled,
= 600/40
= 15
This means a 40 gallon barrel will be filled 15 times.
<h3>
Answer:</h3>
<h3>
Step-by-step explanation:</h3>
We know that 
, so substitute that into the equation. 
With negative powers, instead of making the result negative, you divide one by it. Mathematically speaking, 
. This makes our equation: 
Finally, simplify the exponent. 
