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3 years ago

Determine the value of angle V in the picture below.

Mathematics

1 answer:

sergiy2304 [10]3 years ago

6 0

Answer:

<V = 40

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

20x = 60+7x+5

Combine like terms

20x = 7x+65

Subtract 7x from each side

20x -7x = 7x+65-7x

13x = 65

Divide each side by 13

13x/13 = 65/13

x = 5

<v = 7x+5 = 7*5+5 = 35+5 = 40

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PQ=RQ b 140° P R b = [? ]° pls help me besties

Jlenok [28]

Answer:

b=40 I just took this quiz

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3 years ago

Suppose that you are headed toward a plataeu 70m high. If the angle of elevation to the top of the platau is 35 degree how far a

SIZIF [17.4K]

Answer:

The distance you are from the base of plateau = $99.97\ m\approx 100\ m$

Step-by-step explanation:

Given:

Height of plateau = 70 m

Angle of elevation to the top of plateau = 35°

To find the distance you are from the base of plateau.

We will construct a triangle ABC to model the given situation. The triangle would be a right triangle for which we know an angle and its opposite side. We need to find the adjacent side of the triangle.

We will apply trigonometric ratio to find the adjacent side.

$\tan\theta=\frac{Opposite\ Side}{Adjacent\ Side}$

where $\theta$ represents the angle of reference.

Plugging in the values from the triangle.

$\tan 35\° =\frac{BC}{AC}$

$\tan 35\° =\frac{70}{AC}$

Multiplying both sides by AC.

$AC\times \tan 35\° =AC\times \frac{70}{AC}$

$AC\times \tan 35\° =70$

Dividing both sides by $\tan 35\°$

$\frac{AC\times \tan 35\°}{\tan 35\°} =\frac{70}{\tan 35\°}$

∴ $AC=99.97\ m\approx 100\ m$

The distance you are from the base of plateau = $99.97\ m\approx 100\ m$

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3 years ago

Jake walks from the library to the museum along 3th avenue. he stops at the post office and at a store. The distances between th

alexdok [17]

I believe the answer would be 4/6 which would simplify to 2/3

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3 years ago

If Amanda walks at an average speed of 2.72 miles per hour how long will it take her to walk 6.8 miles

defon

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Sarah bought a new lip gloss. It cost $8.99 plus 5% tax. How much did she pay for the lip gloss?

Alexxandr [17]

Answer:

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Step-by-step explanation:

5% of 8.99= 0.4495

cost of lip gloss8.99

$8.99+$0.4495=$9.4395

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