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Arlecino [84]
2 years ago
14

Answers: A x=6 B x= Square Root 80 C x=2 D x= Square Root 164

Mathematics
1 answer:
uysha [10]2 years ago
3 0

Answer:

x=6

Step-by-step explanation:

Hypotenuse is 10 because it is the opposite of the right angle

8^2+x^2=10^2

64+x^2=100

x^2=36

x=6

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GEOMETRY: PLEASE HELP!!
Aloiza [94]

Answer:

GF=72

Step-by-step explanation:

All triangles in the given figure are similar, from SAS. Notice that marked in the diagram, CD=DE=EF=FA.

For triangle \triangle CGF was base GF, leg CF contains three of these marked segments. In triangle \triangle CHE with base HE, leg CE has two of these marked segments. By definition, similar polygons have corresponding sides in a constant proportion. Therefore, the length of GF must be 3/2 the length of EH. Since the length of EH is given as 48, we have:

GF=\frac{3}{2}EH, \\\\GF=\frac{3}{2}\cdot 48,\\\\GF=\boxed{72}

7 0
3 years ago
If a 30-foot silo casts a 20-foot shadow, what is the approximate measure from the tip of the shadow to the top of the silo?
KATRIN_1 [288]

9514 1404 393

Answer:

  (d)  36 feet

Step-by-step explanation:

Use your sense of geometry.

The hypotenuse of a right triangle will never be less than the longest side, and will never be greater than 1.5 times the longest side*.

That means the only reasonable answer choices will be between 30 and 45 feet. There is only one such choice.

The measure is about 36 feet.

__

If you like, you can find a more exact value using the Pythagorean theorem. The distance d of interest is ...

  d^2 = 20^2 +30^2 = 1300

  d = √1300 = 10√13 ≈ 36.0555 ≈ 36 . . . feet

_____

* The longest hypotenuse will be √2 ≈ 1.4142 times the longest right triangle leg when the two legs are equal length.

3 0
3 years ago
What is 9 times -11 + 17 times 11 in factored form
Rama09 [41]

Answer:

88

Step-by-step explanation:

(17 * 11 = 187) + (9 * -11 = -99)

187 - 99 = 88

7 0
3 years ago
ryan has a balance of $75 in his savings account and deposits $25 each week. He needs at least $300 to buy the gift he wants for
horsena [70]

Answer:

25x + 75 ≥ 30

Hope this helps!

4 0
3 years ago
The figure consists of a quarter circle and a parallelogram. What is the area of the composite figure? Use 3.14 for n 76, Round
asambeis [7]
A is the answer i think
3 0
2 years ago
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