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!
substitute the ordered pair (2, 3 ) into the 2 equations
(3 × 2 ) + (4 × 3 ) = 6 + 12 = 18 → True
(2 × 2 ) - (2 × 3 ) = 4 - 6 = - 2 → False
Hence the ordered pair (2, 3 ) is not a solution to the system of linear equations.
When (2, 3 ) is substituted into the first equation, the equation is true.
When (2, 3 ) is substituted into the second equation, the equation is false.
Answer:
25 cm
Step-by-step explanation:
What you would do to “simplify” the equation is 18000-100 then divide by 50. The answer would be 358. Hoped this helped!
Subtract 6.75 from 15.2 to find what he did on Sunday, because supposed the number of miles he ran on Sunday was x. Therefore, the formula should be x + 6.75 = 15.2
Solve that, and you should get that Jim ran 8.45 miles on Sunday.