Angles ABC and CBD are complementary - they add up to 90°. This means
(4x + 52°) + (8x - 10°) = 90°
Solve for x :
12x + 42° = 90°
12x = 48°
x = 4°
It follows that angle CBD has measure
4 • 4° + 52° = 16° + 52° = 68°
Answer:
A.56 degrees.
Step-by-step explanation:
All triangles equal 180 degrees.
91 + 33 = 124
180 - 124 = 56
Answer:
2 tons of dirt per hour
Step-by-step explanation:
helpful to know: 1/6 hours = 10 minutes
you can create a proportion to find unit rate by using (tons of dirt ÷ time)
we'll use 'd' to represent amount of dirt and use minutes
1/3÷10 = d/60
1/3÷10 = 1/3 × 1/10 = 1/30
we now have:
1/30 = d/60
we can cross-multiply to get:
30d = 60
d = 2
x = number of weeks which is some positive whole number
50x = amount saved after x weeks, when saving $50 per week
50x+800 = add on the 800 she already has
The expression 50x+800 is the total money saved. We set this equal to the 1150 to set up the equation we're after
<h3>Answer: 50x+800 = 1150</h3>