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3 years ago

If m<PQT=60 and m<PQS=4x+14 find the value if x

Mathematics

1 answer:

lutik1710 [3]3 years ago

8 0

Diagram is attached below

m<PQT=60 and m<PQS=4x+14

m<PQS and m<SQT are same

m<PQT = m<PQS + m<SQT = m<PQS + m<PQS = 2m<PQS

m<PQT = 2m<PQS

So m<PQS = $\frac{m$

Plug in the given information and solve for x

4x + 14 = $\frac{60}{2}$

4x + 14 = 30 (subtract 14 on both sides)

4x = 16 (Divide by 4 on both sides)

x = 4

The value of x is 4

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3 years ago

Read 2 more answers

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Answer:

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Step-by-step explanation:

We have, 4% × x = 36

or ----- × x = 36

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Multiplying both sides by 100 and dividing both sides by 4,

100

we have x = 36 × -------

x = 900

If you are using a calculator, simply enter 36×100÷4, which will give you the answer

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3 years ago

When a number x is multiplied by 6, the result is 3/8 . What is the value of x?

JulsSmile [24]

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3 years ago

Two motorcyclist A and B, started simultaneously moving towards each other. From the graph given below, find the distance each o

harina [27]

Answer:

Distance covered by motorcyclist A = 700 - 300 = 400 km

Distance covered by motorcyclist B = 300 - 0 = 300 km

The time before they met went for 5 hours

Average speed of motorcyclist A would be: 400/5 = 80 km/hour

Average speed of motorcyclist B would be : 300/5 = 60 km/hour

Step-by-step explanation:

In the given question first we have to find the distance covered by each of them.

Look at the graph. Motorcyclist A started from 700 km and met at 300 km with motorcyclist B

Thus the distance covered by motorcyclist A = 700 - 300 = 400 km

Motorcyclist B started from 0 km and met with A at point 300 km.

Thus the distance covered by motorcyclist B = 300 - 0 = 300 km

Now we have to find the time before they meet.

Look at the graph. Both motorcyclists met at point t=5

Thus the time before they met went for 5 hours

Now find out the average speed of motorcyclists

To find the average speed we require total distance and time.

Motorcyclist A covered 400 km within 5 hours

Average speed of motorcyclist A would be: 400/5 = 80 km/hour

Average speed of motorcyclist B would be : 300/5 = 60 km/hour

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lesantik [10]

Answer:

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