3/10=4/x
3x=10(4)
3x=40
x=13.33
Answer:
Step-by-step explanation:
t = tutoring and g = grocery store
t + g = 15......t = 15 - g
15t + 9g = 159
15(15 - g) + 9g = 159
225 - 15g + 9g = 159
-15g + 9g = 159 - 225
-6g = - 66
g = -66/-6
g = 11 <===== 11 hrs worked at the grocery store
t + g = 15
t + 11 = 15
t = 15 - 11
t = 4.....4 hrs tutoring
Answer:
see the explanation
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
m∠PQS+m∠SQR=m∠PQR ----> equation A (by Addition Angle Postulate)
we have that
m∠PQR=90° ----> equation B given problem (because is a right angle)
substitute equation B in equation A
m∠PQS+m∠SQR=90°
Remember that
Two angles re complementary is their sum is equal to 90 degrees (Definition of complementary angles)
therefore
m∠PQS and m∠SQR are complementary angles