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3 years ago

11

Route 80 runs a little over 2,900 miles across The United States from the New York City area to San Francisco. If he drove the e

ntire length in 14 days, on the average how many miles would you travel per day?

1 answer:

Novosadov [1.4K]3 years ago

7 0

Answer:

207

Step-by-step explanation:

2900 divided by 13 is 207

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In the figure above, PQRS is a circle. If PQT and SRT<br>are straight lines, find the value of x.

Elena L [17]

Given:

PQRS is a circle, PQT and SRT are straight lines.

To find:

The value of x.

Solution:

Since PQRS is a circle, PQT and SRT are straight lines, therefore, PQRS isa cyclic quadrilateral.

We know that, sum of opposite angles of a cyclic quadrilateral is 180 degrees.

$m\angle SPQ+m\angle QRS=180^\circ$

$81^\circ+m\angle QRS=180^\circ$

$m\angle QRS=180^\circ-81^\circ$

$m\angle QRS=99^\circ$

Now, SRT is a straight line.

$m\angle QRT+m\angle QRS=180^\circ$ (Linear pair)

$m\angle QRT+99^\circ=180^\circ$

$m\angle QRT=180^\circ-99^\circ$

$m\angle QRT=81^\circ$ ...(i)

According to the Exterior angle theorem, in a triangle the measure of an exterior angle is equal the sum of the opposite interior angles.

Using exterior angle theorem in triangle QRT, we get

$m\angle PQR=m\angle QRT+m\angle QTR$

$x=81^\circ+22^\circ$

$x=103^\circ$

Therefore, the value of x is 103 degrees.

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3 years ago

6. Ed drives from Jefferson to Holden, a distance of 250 miles. He then travels on to

andreev551 [17]

Answer:

The constant speed with Ed is travelling is 60 mile per hour

Step-by-step explanation:

Given as :

The distance cover to travel from Jefferson to Holden is (D1) 250 miles

The distance cover to travel from Holden to Paxton is (D2) 50 miles

Total time taken to complete entire journey = T = 5 hours

Let The constant speed of Ed = S mph

Time = $\frac{Distance}{Speed}$

Or, Time = $\frac{D1}{S}$ + $\frac{D2}{S}$

Or, 5 hour = $\frac{250}{S}$ + $\frac{50}{S}$

Or, 5 × S = 250 + 50

So, 5 × S = 300

∴ S = $\frac{300}{5}$

I.e S = 60 mph

Hence , The constant speed with Ed is travelling is 60 mile per hour Answer

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Answer:

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