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ANEK [815]
2 years ago
11

Find the value of X.

Mathematics
1 answer:
Alja [10]2 years ago
7 0

I used a somewhat unorthodox method for this but here goes...

First find the bottom left angle of the triangle which equals 180 - 108 because they are a linear pair and linear pairs always add to equal 180 degrees.  

Next I used the postulate that states "If two parralel lines are cut by a transversal, then there alternate interior angles are congruent".  The bottom right exterior angle of this triangle equals 4x, which means the other side of the transversal equals 4x as well.  I also know the exterior on the left side of the triangle excluding the vertex (x) equals 72, which we figured out in the first step.

4x = 72 + x

Next subtract x from both sides.

3x = 72

Then divide both sides by 3.

3/3 x = 72/3

And there's your answer.

x = 24

Hope this helps, sorry if it was a little confusing.

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tatiyna

Answer:

15 grams.

Step-by-step explanation:

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3 0
3 years ago
Question
puteri [66]

Answer:

The salt concentration of the mixed solution = 10%

Step-by-step explanation:

First assuming that the concentration of salt given is on a vol% basis.

First solution has 0.7 gallon of 5% salt

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Second solution has 0.3 gallon of 22% salt

Amount of salt in this solution = 22% × 0.3 = 0.066 gallon

Total amount of salt in the resulting solution = 0.035 + 0.066 = 0.101 gallon

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Hope this Helps!!!

3 0
3 years ago
Before being simplified, the instructions for computing income tax in Country R were to add 2 percent of one’s annual income to
Vedmedyk [2.9K]

Answer:

Option C)

50 + \dfrac{I}{40}          

Step-by-step explanation:

We are given the following in the question:

I is the annual income of a person in a country R

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\dfrac{2}{100}\times I = 0.02I

1 percent of one’s annual income =

\dfrac{1}{100}\times I = 0.01I

Average of  100 units of Country R’s currency and 1 percent of one’s annual income.

=\dfrac{0.01I + 100}{2}

Income tax =

2 percent of one’s annual income + Average of  100 units of Country R’s currency and 1 percent of one’s annual income.

= 0.02I + \dfrac{100+0.01I}{2}\\\\=50 + \dfrac{0.04I + 0.01I}{2}\\\\=50 + \dfrac{0.05I}{2}\\\\= 50 + \dfrac{I}{40}

Thus, income tax is given by

Option C)

50 + \dfrac{I}{40}

6 0
2 years ago
-0.55 inches, 0.75 inches, 3.25 inches, -0.75 inches, and 0.7 inches.
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Answer:

3.25 inches, 0.75 inches, 0.7 inches, -0.55 inches, -0.75 inches

hope it help <3

4 0
3 years ago
What is Discount Comics is running a special: 20 comics for $5.00. Seth purchases 30 comics for $7.50. What is the sale price pe
Shalnov [3]
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8 0
3 years ago
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