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3 years ago

Help me plzz!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

NemiM [27]3 years ago

5 0

9514 1404 393

Answer:

162 degrees

Step-by-step explanation:

Angles P and F are supplementary, so ...

3x^2 +12x = 180

x^2 +4x = 60

x^2 +4x -60 = 0

(x +10)(x -6) = 0

The useful value of x that makes this true is x=6.

The measure of angle Q is 3x, so is 3·6 = 18 degrees. The measure of angle S is the supplement to that:

∠S = 180° -18° = 162°

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Step-by-step explanation:

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3 years ago

Which shows the expression below simplified?

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3 years ago

Need help with this math

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Step-by-step explanation:

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3 years ago

Write an equation that can be used to solve the problem. Then answer the question asked. A group of college students are volunte

svp [43]

Answer:

Required equation : $\frac{1}{t}=\frac{1}{3}+\frac{1}{9}$

Together they can paint the same room in 2.25 hours or 2 hours 15 minutes.

Step-by-step explanation:

It is given that Dale Horton can paint a certain room in 3 hours.

One hour woks of Dale Horton = 1/3

Kathy Garcia can paint the same room in 9 hours.

One hour woks of Kathy Garcia = 1/9

Let together they can paint the same room in t hours.

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$\frac{1}{t}=\frac{1}{3}+\frac{1}{9}$

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4 0

3 years ago

To travel 80 miles, it takes Sue, riding a moped, 2 hours less time than it takes Doreen to travel 60 miles riding a bicycle. Su

andriy [413]

Answer:

Time taken by Doreen is 6 hours and speed is 10 miles per hour.

Time taken by Sue is 4 hours and speed is 20 miles per hour.

Step-by-step explanation:

Let the speed of Doreen be x

According to the question speed of Sue is = x+10

time taken By Sue to cover 80 miles = $\frac{80}{x+10}$

time taken by Doreen to travel 60 miles = $\frac{60}{x}$

According to question Sue take two hours less than Doreen takes

therefore

$\frac{60}{x}$ - $\frac{80}{x+10}$ =2

$\frac{60(x+10)-80x}{x(x+10)}$ =2

60(x+10) -80x = 2(x(x+10)

60x+600-80x = $2x^2+20x\\$

simplifying it ,we get

$2x^2+40x-600=0\\$

Dividing both sides by 2 ,we get

$x^2+20x-300=0\\$

solving it for x ,we get

(x+30)(x-10) =0

x =-30 which is not possible

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Time taken by Doreen = 60 divided by 10 = 6 hours

Time taken by Sue = 80 divided by 20 = 4 hours

5 0

3 years ago