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hodyreva [135]
3 years ago
10

Find m<1 and m<2 in the diagram below.

Mathematics
1 answer:
cluponka [151]3 years ago
7 0
The equation to solve for angle 1 is reliant upon the fact that the measure of an exterior angle is equal to the sum of its interior angles.  In our case, angle 1 = 38 + 70 which is 108.  Now to find angle 2 we have to rely upon the fact that angles 1 and 2 are supplementary, or angle 2 = 180 - angle 1.  We have angle 1 is 108 so angle 2 = 180 - 108 and angle 2 = 72
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out of 45 times at bat, Raul got 19 hits. Find Rauls batting average as a decimal rounded to the nearest thousandth.
Eduardwww [97]
<span>Raul only hit 19 times out of 45 bats.
Now, let’s find the average decimal value of Raul’s hit.
=> 19 hits
=> 45 bats
x = value in decimals

=> 19 = x * 45
=> 19 = 45x
Now, divide both sides with 45
=> 19/45 = 45x / 45
=> 0.4222222 = x
x = 0.422222……..
Since it is a repeating decimals, and we only need to find the thousandths value. Let’s get the value of Thousandths.
=> 4 = tenths
=> 2 = hundredths
=> 2 thousandths
Therefore the value of 19 hits out of 45 bats in decimals is
=> .422 </span>



8 0
2 years ago
In AGHI, h = 300 inches, G=30° and H=29º. Find the length of i, to the nearest<br> inch.
dalvyx [7]

Given:

In triangle GHI, h = 300 inches, G=30° and H=29º.

To find:

The length of i.

Solution:

We have, G=30° and H=29º.

Using angle sum property, we get

m\angle G+m\angle H+m\angle I=180^\circ

30^\circ+29^\circ+m\angle I=180^\circ

59^\circ+m\angle I=180^\circ

m\angle I=180^\circ-59^\circ

m\angle I=121^\circ

According to Law of sines,

\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}

Using Law of sines, we get

\dfrac{h}{\sin H}=\dfrac{i}{\sin I}

\dfrac{300}{\sin 29^\circ}=\dfrac{i}{\sin 121^\circ}

\dfrac{300}{0.4848}=\dfrac{i}{0.8572}

Multiply both sides by 0.8572.

\dfrac{300}{0.4848}\times 0.8572=i

530.44554=i

i\approx 530

Therefore, the length of i is about 530 inches.

6 0
3 years ago
Write an inequality that represents the verbal expression. All real numbers less than 74
Zina [86]
Hey there!

<span>x<74

Hope this helps!
~Jurgen</span>
6 0
3 years ago
Find A common denominator of 1/6 and 1/9. rewrite the pair of fractions using common denominator.
Dmitry_Shevchenko [17]
The common denominators would be 2,8,6,1

7 0
3 years ago
A new car is purchased for \$18,000$18,000 and over time its value depreciates by one half every 3.5 years. How long, to the nea
Taya2010 [7]

Answer:

15.1

Step-by-step explanation:

5 0
2 years ago
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