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hodyreva [135]
3 years ago
11

Mrs. Smith is using a 6-meter ladder to clean the windows on her second floor. Her ladder stands on level ground and rests again

st the side of her house at a point 4 meters above ground. How far from the side of her house is the foot of the ladder? At what angle is it leaning? Round your answers to nearest tenth.

Mathematics
1 answer:
andrew11 [14]3 years ago
4 0
The side of her house is the foot of the ladder= Base= √36-16
=2√5m

angle it is leaning at = sin ¶
= 4/6
¶= 45°

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given : AD is ⊥to AB and DC, BC is ⊥ to AB and DC, angle EDC ≅ angle ECD, AD ≅ BC. prove: triangle ADE ≅ triangle BCE
Kamila [148]

Answer:

Hence proved triangle ADE ≅ triangle BCE by Side Angle Side congruent property.

Step-by-step explanation:

Given:

AD ⊥ AB \& CD

BC ⊥ AB \& CD

AD = BC

∴ ∠ A = ∠ B = ∠ C = ∠ D =90°

∠ EDC = ∠ ECD

Solution

∠ C = ∠ BCE + ∠ ECD⇒ equation 1

∠ D = ∠ ADE + ∠ EDC⇒ equation 2

∠ C = ∠ D (given)

Substituting equation 1 and 2 in above equation we get

∠ BCE + ∠ ECD = ∠ ADE + ∠ EDC

But ∠ EDC = ∠ ECD (given)

∴ ∠ ADE = ∠ BCE

ED = EC (∵ base angles are same triangle is isosceles triangle)

Now, In Δ ADE and Δ BCE

AD =BC

∠ ADE = ∠ BDE

ED = EC

∴ By Side Angle Side congruent property

Δ ADE ≅ Δ BCE

6 0
4 years ago
The Magic Carpet charges $35 for installation and $0.25 per square yard of carpeting. The Carpeteria’s installation price is $27
lyudmila [28]
Answer: 62.25 times $0.40. hope it helps :)
7 0
4 years ago
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Annie estimates that the height of a bookcase is 78.25 in. The actual height is 75.50 in.
tankabanditka [31]

Answer:

The percentage error is 3.6 % .

Step-by-step explanation:

Formula

Error\ percentage = \frac{Error\times 100}{Exact\ value}

Error = \left |Approx - Exact \right |

As given

Annie estimates that the height of a bookcase is 78.25 in. The actual height is 75.50 in.

Here

Approx value =  78.25 in

Exact value = 75.50 in

Error = \left |78.25 - 75.50\right |

Error = 2.75

Put in the formula

Error\ percentage = \frac{2.75\times 100}{75.50}

Error\ percentage = \frac{275}{75.50}

Error percentage = 3.6 %

Therefore the percentage error is 3.6 % .


3 0
3 years ago
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FinnZ [79.3K]

Answer:

900 degrees

Step-by-step explanation:

The sum of the interior angles of a polygon can be found by

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This figure has 7 sides

(7-2)*180

5*180

900

7 0
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</span>
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