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qaws [65]
3 years ago
11

Use the Exterior Angles Theorem to find the measure of each angle in degrees.​

Mathematics
1 answer:
Gre4nikov [31]3 years ago
8 0

You have to begin by using the triangle sum therom. That means Angle DEC would be 64°, Angle D would be 76°, and angle C would be 40°

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A town in east Texas received 10 inches of rain in two DAYS. If it kept raining at this rate for a 31 day month, how much rain d
nydimaria [60]
<h3>Answer: 155 inches</h3>

This is equivalent to approximately 12.917 feet.

===================================================

Work Shown:

(10 inches)/(2 days) = (x inches)/(31 days)

10/2 = x/31

10*31 = 2*x ... cross multiply

310 = 2x

2x = 310

x = 310/2

x = 155

Keep in mind that this water is being drained on a fairly continuous basis. This means that not all of the water is sticking around (we'd hope not anyway) at the same moment in time.

Note: 155 inches = 155/12 = 12.917 feet approximately.

--------------------------

Alternative method:

If the town got 10 inches in 2 days, this means it rains at a unit rate of 10/2 = 5 inches per day.

Multiply that by 31 days and we get 5*31 = 155 inches of total rain.

3 0
3 years ago
How to solve this (b) ???​
vladimir1956 [14]

(b). → Simplify: [{5^(x-+1) + 5^x}/{6×5^x}]

= [{5^(x+1+x)}/{6×5^x}]

= [{5^(2x+1)}/{6×5^x}]

= [{5^(2x+1)}/{6×5^x}]

= [{5^(2x+1-x)}/6]

= [{5^(x+1)}/6]Ans.

(c). 4a³b²

= 4(3)³(-2)²

Since, a = 3 and b = -2.

so,

= 4(3*3*3)(-2*-2)

= 4(27)(4)

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5 0
3 years ago
If angle 2 is 45 degrees, what is the measurement of angle 4?
Vlada [557]

Answer:

angle 4 = angle 2{opposite angles are equal} =45 degrees

Step-by-step explanation:

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3 years ago
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What is the approximate difference in tenths between the Square root of 12 and square root 15
rosijanka [135]

Answer:

.4

Step-by-step explanation:

Root of 12 is 3.5

Root of 15 is 3.9

3.9 - 3.5 = .4

6 0
4 years ago
Which of the following are in the correct order from least to greatest?
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7x

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