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dsp73
2 years ago
8

If M is the midpoint in the figure, find MQ and PQ.

Mathematics
2 answers:
antoniya [11.8K]2 years ago
5 0
Answer: A) MQ = 4, PQ = 8

Step-by-Step Solution:

Given :-

PM = MQ
PM = 4
M is the Midpoint of PQ

To Find :-

MQ and PQ

Solution :-

Since PM = MQ,
=> MQ = 4 (Since PM = 4)

PM + MQ = PQ (Since M is the Midpoint)
Hence, PQ = 4 + 4
=> PQ = 8

So, MQ = 4 and PQ = 8
zepelin [54]2 years ago
4 0

Answer:

pm = 4

M is the mid point of PQ which means that pm = mq

so MQ = 4

PQ = PM + MQ

= 4 + 4

= 8

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At 3:30 in the afternoon in mid-September the Kimball Tower casts a shadow about 290 feet long when the sun's rays come down at
ioda

Answer:

203 feet.

Step-by-step explanation:

Please find the attachment.

Let h represent the height of the building.

We have been given that at 3:30 in the afternoon in mid-September the Kimball Tower casts a shadow about 290 feet long when the sun's rays come down at an angle about 35 degrees above the horizontal.    

We know that tangent relates opposite side of a right triangle to its adjacent side.

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

Upon substituting our given values in above formula, we will get:

\text{tan}(35^{\circ})=\frac{h}{290}

290*\text{tan}(35^{\circ})=\frac{h}{290}*290

290*0.70020753821=h

h=290*0.70020753821

h=203.0601860809

h\approx 203

Therefore, the building is approximately 203 feet high.

 

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NNADVOKAT [17]

Answer:

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Step-by-step explanation:

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5 0
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