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BigorU [14]
3 years ago
8

HELP FAST 100 POINTS MUCH SHOW WORK

Mathematics
2 answers:
Svet_ta [14]3 years ago
5 0

Step-by-step explanation:

I HOPE IT WAS HELPFUL TO U !!

djverab [1.8K]3 years ago
3 0

Answer:

<u>x</u><u> </u><u>is</u><u> </u><u>7</u><u> </u><u>and</u><u> </u><u>m</u><u><</u><u>1</u><u> </u><u>is</u><u> </u><u>9</u><u>9</u><u>°</u>

Step-by-step explanation:

m<NMQ + m<MQN + m<QNM = 180°

{ \sf{(5x + 19) + (8x - 11) + (11x + 4) = 180}} \\ { \sf{24x + 12 = 180}} \\ { \sf{24x = 168}} \\ { \sf{x =  \frac{168}{24} }} \\  \\ { \sf{x = 7}}

m<1 = 180° - (11x + 4)

m<1 = 180° - 81°

m<1 = 99°

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You can use the given data to find out how many miles does the van travels for 1 gallon of gas. This will help you get the distance van can travel for full tank (16.2 gallons) of gas.

The considered van with full tank(16.2 gallons) can travel 362.88 miles

<h3>How to find the distance the van can travel per gallon of gas?</h3>

Since the considered van traveled 241.92 miles in 10.8 gallons, then we can take equal in dimension of input and output relation.

10.8 \: \rm gallons = 241.92 \: miles\\\\\text{Dividing both quantities by 10.8 to get miles traveled per gallon}\\\\\dfrac{10.8}{10.8} \:  gallon = \dfrac{241.92}{10.8} \: miles\\\\ 1 \: gallon = 22.4 \: miles

Thus, the considered van travels 22.4 miles per gallon of gas.

Now, since full tank consists of 16.2 gallons, thus, multiplying by 16.2 on both the sides, we  get

\rm 1 \: gallon = 22.4 \: miles\\\\16.2 \: gallons  = 16.2 \times 22.4 \: miles = 362.88 \: miles

Thus,

The considered van with full tank(16.2 gallons) can travel 362.88 miles

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