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3 years ago

The measure of an angle is seventy-one times the measure of a supplementary angle. What is the measure of each angle?

Mathematics

1 answer:

steposvetlana [31]3 years ago

3 0

Let the smallest angle = x

Then the larger one = 71x

Supplementary angles are always equal to 180o

x + 71x = 180o Add the left side

72x = 180 Divide by 72

x = 180/72

x = 2.5

The smallest angle = 2.5 degrees

The largest angle = 2.5 * 71

The largest angle= 177.5 degrees.

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Haley can bake 6 cookies with each scoop of flour. Write an equation that shows the relationship between the scoops of flour x a

m_a_m_a [10]

Answer:

the answer is y=6x

(6 is a constant)

Explanation:

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2 years ago

50 POINTS Vanessa has 6 dimes and 2 pennies. Joachim has 1 dollar, 3 dimes, and 5 pennies. Jimmy has 5 dollars and 7 pennies. Th

Yakvenalex [24]

Vanessa: a dime = 10 cents = 0.10

A penny = 1 cent = 0.01

6 x 0.10 = 0.60

2 x 0.01 = 0.02

Total = 0.60 + 0.02 = 0.62

Joachim : a dollar = 1.00

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5 x 0.01 = 0.05

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3 years ago

Read 2 more answers

PLSS HELP ME!!! question 3x - 4/5= - 1/2 what is the value of x?

Minchanka [31]

Answer:

x = $\frac{1}{10}$

Step-by-step explanation:

Given

3x - $\frac{4}{5}$ = - $\frac{1}{2}$

Multiply through by 10, the lcm of 5 and 2 to clear the fractions

30x - 8 = - 5 ( add 8 to both sides )

30x = 3 ( divide both sides by 30 )

x = $\frac{3}{30}$ = $\frac{1}{10}$

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3 years ago

A signal light is green for 4 minutes, yellow for 10 seconds, and red for 3 minutes. If you drive up to this light, what is the

posledela

Answer:

0.56 is the required probability.

Step-by-step explanation:

Time for which signal shows green light = 4 minutes

Time for which signal shows yellow light = 10 seconds

Time for which signal shows red light = 3 minutes

To find:

Probability that the signal will show green light when you reach the destination = ?

Solution:

First of all, let us convert each time to same unit before doing any calculations.

Time for which signal shows green light = 4 minutes = 4 $\times$ 60 seconds = 240 seconds

Time for which signal shows yellow light = 10 seconds

Time for which signal shows red light = 3 minutes = 3 $\times$ 60 seconds = 180 seconds

Now, let us have a look at the formula for probability of an event E:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

Here, E is the event that green light is shown by the signal.

Number of favorable cases mean the time for which green light is shown and Total number of cases is the total time (Time for which green light is shown + Time for which Yellow light is shown + Time for which red light is shown)

So, the required probability is:

$P(E) = \dfrac{240}{240+10+180}\\\Rightarrow P(E) = \dfrac{240}{430}\\\Rightarrow \bold{P(E) \approx 0.56 }$

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2 years ago

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Answer:

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