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grigory [225]
3 years ago
12

Geometry math question no Guessing and Please show work

Mathematics
1 answer:
tatyana61 [14]3 years ago
4 0

The point where the two diagonals meet is also the midpoint of both diagonals.

This means that AE = EC . Since we have the value for both segments, we have

AE = EC \implies 2x = x+2 \implies x = 2

Since AC = AE + EC, we have

AE + EC = 2x+x+2 = 3x+2 = 3\cdot 2 + 2 = 6+2 = 8

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QveST [7]

$20 a week for 10 weeks is:

20*10 = $200


She spends $6.75 each day for 5 days:

6.75*5 = $33.75.


Lets subtract her spending from her savings to find out how much she has left:

$200-$33.75 = $166.25

4 0
3 years ago
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Geometry<br> Solve for x. Round to the nearest tenth of a degree, if necessary.
zvonat [6]

Answer:

  13. x = 52.8°

  14. 663.65 ft

  15. 30.7 ft

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relations between sides of a right triangle and trig functions of the acute angles.

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<h3>13.</h3>

The sides adjacent and opposite the angle are marked. The relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(x°) = 2.5/1.9

The angle is found using the inverse tangent function:

  x° = arctan(2.5/1.9) ≈ 52.8°

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<h3>14.</h3>

Again, the tangent relation comes into play. The given values are the side opposite and the angle, and we are asked for the side adjacent.

  Tan = Opposite/Adjacent

  tan(11°) = (129 ft)/(distance to shore)

  distance to shore = (129 ft)/tan(11°)

  distance to shore ≈ 663.65 ft

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<h3>15.</h3>

In this scenario, the given angle is opposite the given side of the triangle. The measure of the hypotenuse is needed.

  Sin = Opposite/Hypotenuse

  sin(71°) = (29 ft)/(ladder length) . . . . substitute given information

  ladder length = (29 ft)/sin(71°) . . . . . . solve for ladder length

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3 0
2 years ago
What are two different ways you could find the value of a? Explain these methods.
tekilochka [14]

Step-by-step explanation:

What are two different ways you could find the value of a? Explain these methods. A right triangle is shown. An altitude is drawn from the right angle to the opposite side to form 2 line segments with lengths 9 and 16. The length of the other 2 sides are 15 and a....done

7 0
2 years ago
In 2020, there were about 260 million gas powered cars on the road. This number isexpected to decrease at a rate of 1.1% per yea
Amanda [17]

This is an equation of exponential decay

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b is found by taking 1 and subtracting the percent it decreases in decimal form

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6 0
1 year ago
3x + 5 = x - 3
dusya [7]

Answer:

x = -4

Step-by-step explanation:

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Subtract x from each side

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7 0
3 years ago
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