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iogann1982 [59]
4 years ago
14

If line XA is an altitude of triangle XYZ, find XA

Mathematics
2 answers:
snow_tiger [21]4 years ago
8 0

Answer:

XA =  66 units.

Step-by-step explanation:

Given  : Triangle XYZ and  line XA is an altitude

To find : find XA.

Solution : We have given that Triangle XYZ and line XA is an altitude.

We can see from the triangle

Angle XAY = angle XAZ.

90° = 2x -72 .

On adding sides by 72

90 + 72 = 2x .

162 = 2x .

On dividing by 2 both sides.

81 = x .

Now,

Altitude XA = x -15

XA = 81 - 15 .

XA =  66 .

Therefore, XA =  66 units.

KonstantinChe [14]4 years ago
5 0
2x - 72 = 90
2x = 90+72
2x = 162
x = 81

XA = x - 15
XA = 81 - 15
XA = 66
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<h3>Answer:  29</h3>

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Work Shown:

The two angles shown are a linear pair. They are adjacent and supplementary. Supplementary angles add to 180 degrees.

(4x-5)+(x+40) = 180

5x+35 = 180

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x = 145/5

x = 29

--------

As a check, if x = 29, then

4x-5 = 4*29-5 = 116-5 = 111

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The two angles are 69 and 111 degrees which add to 69+111 = 180, which helps confirm the answer.

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3 years ago
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Answer:

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Step-by-step explanation:

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This shows that h(x) + j(x) =  k(x)

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3 years ago
At age 23​, someone sets up an IRA​ (individual retirement​ account) with an APR of ​7%. At the end of each month he deposits ​$
MAVERICK [17]

Answer:

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Step-by-step explanation:

In order to solve this problem, we can make use of the following formula:

FV=PMT[\frac{(1+i)^{n}-1}{i}]

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FV= Future value of the ira

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in this case we will assume the interest will be compounded each month.

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FV this is what we need to know.

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FV=PMT[\frac{(1+i)^{n}-1}{i}]

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FV=$228,278.05

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so he will have:

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