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alisha [4.7K]
3 years ago
7

Tess left her home and drove for 3.7 hours due north at a rate of 60 miles per hour. After attending a concert, she drove due so

uth for 1.4 hours at 55 miles per hour.
How far is Tess from her home?
Mathematics
1 answer:
Free_Kalibri [48]3 years ago
8 0

Answer: 145


3.7 x 60 = 222 (how far north she drove)

1.4 x 55 = 77 (how far south she drove)

222 - 77 = 145 (how far from home)


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Answer:

0.13 ft/min

Step-by-step explanation:

We are given that

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3 years ago
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you accidentally dropped a coin from the top of 10 stairs. what is the probability that it will land on the 4th step facing up
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3 years ago
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german

Answer:

x = 14  

Step-by-step explanation:

Assume your diagram is like the one below.

The intersecting secant angles theorem states, "When two secants intersect outside a circle, the measure of the angle formed is one-half the difference between the far and the near arcs."

For your diagram, that means

\begin{array}{rcl}m\angle L &=&\dfrac{1}{2} \left(m \widehat {JM} - m\widehat {PQ}\right)\\\\(3x + 13)^{\circ}& = &\dfrac{1}{2} \left[(8x + 48)^{\circ} - (5x - 20)^{\circ}\right]\\\\3x + 13& = &\dfrac{1}{2}(8x + 48 - 5x + 20)\\\\3x + 13& = &\dfrac{1}{2}(3x + 68)\\\\6x + 26 & = & 3x + 68\\6x & = & 3x + 42\\3x & = & 42\\x & = & \mathbf{14}\\\end{array}

Check:

\begin{array}{rcl}(3\times14 + 13) & = &\dfrac{1}{2} \left[(8\times14 + 48)^{\circ} - (5\times14 - 20)^{\circ}\right]\\\\42 + 13& = &\dfrac{1}{2}(112 + 48 - 70 + 20)\\\\55& = &\dfrac{1}{2}(110)\\\\55 & = & 55\\\end{array}

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