42-6=? (Answer) 36
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Answer: Using the proportion beteween the sides of the similar triangles, the distance between the endpoints of the beams P and Q is 3.2 inches.
Option a. 3.2 inches
Solution
PR=3.7 inches; CR=5.6 inches; AC=4.9 inches
As the two triangles QRP and ARC are similar, their sides must be proportionals, then:
PQ/AC=PR/CR=QR/AR
Replacing the given values in the proportion above:
PQ/(4.9 inches)=(3.7 inches)/(5.6 inches)=QR/AR
PQ/(4.9 inches)=3.7/5.6
Solving for PQ: Multiplying both sides of the equation by 4.9 inches:
(4.9 inches)[PQ/(4.9 inches)]=(4.9 inches)(3.7/5.6)
PQ=(4.9)(3.7)/5.6 inches
PQ=18.13/5.6 inches
PQ=3.2375 inches
Rounding to one decimal place:
PQ=3.2 inches
Answer:
y = 2x
Step-by-step explanation:
By inspection, we can see the line crossing through the points: (0,0) , (1,2)
[Use the slope formula to find m]
m = (Y2 - Y1) / (X2 - X1)
m = (2 - 0) / (1 - 0)
m = 2/1 = 2
[Use the point slope formula to find equation]
(y-y0) = m(x-x0)
y - 0 = 2(x - 0)
y = 2x
The unit rate is (0.875 mile) divided by (number of hours it takes the turtle to walk the 7/8 of a mile) miles per hour.