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vagabundo [1.1K]
3 years ago
8

Unit 4 homework 3 Gina Wilson pls help w homework!

Mathematics
1 answer:
Llana [10]3 years ago
7 0

Answer/Step-by-step explanation:

1. An isosceles ∆ has two equal sides. The base angles of an isosceles ∆ are also equal.

Therefore:

m<U = 54° (base angle of isosceles ∆)

m<T = 180 - (54 + 54) (sum of ∆)

m<T = 72°

2. ∆LMN is an isosceles ∆, therefore:

m<M = ½*(180 - 28) = 76°

m<N = m<M (base angle of isosceles)

m<N = 76°

3. ∆FEG is an isosceles ∆, because it has two equal base angles.

Therefore:

EF = FG

EF = 18 in

m<F = 180 - (23 + 23) = 134°

4. ∆PQR is an equilateral ∆. All sides and angles of an equilateral ∆ are equal.

Therefore:

m<P = 60°

m<Q = 60°

m<R = 60°

5. 4x + 23 = 10x - 1 (2 asides of an isosceles ∆ are equal)

Collect like terms

4x - 10x = -23 - 1

-6x = -24

Divide both sides by -6

x = 4

6. 2*(9x - 25) = 180 - 104 (base angles of isosceles ∆)

18x - 50 = 76

Add 50 to both sides

18x = 76 + 50

18x = 126

Divide both sides by 18

x = 7

7. 5x - 7 = 8x - 55 (base angles of an isosceles)

Collect like terms

5x - 8x = 7 - 55

-3x = -48

Divide both sides by -3

x = 16

8. 4x + 8 = 60° (angle of an equilateral ∆)

Subtract 8 from each side

4x = 60 - 8

4x = 52

Divide both sides by 4

x = 13

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Answer:

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Step-by-step explanation:

Let the length of Hector's rectangular garden is a feet and width is b feet.

So, by the given condition, we can write that  

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8 0
3 years ago
A sand box has an area of 45 ft. The length is 4 feet longer than the width. What are the dimensions of the sand box? Solve by c
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So,

The sand box's area is 45 ft.

The length is 4 feet longer than the width.

We can solve by translating these sentences into mathematical form.

Let l represent length and w represent width.

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Substitute 4 + w for l in the first equation.
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3 years ago
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______________________________

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<em>  - When doing problems like this, it's best to list out each formula and do the drag down method, and replace methods rather than doing it the entire mathematical way, as doing it that way takes a long time and it's more confusing than it should be.</em>

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