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2 years ago

Help asap will give brainliest

Mathematics

1 answer:

ArbitrLikvidat [17]2 years ago

7 0

<u>Answer:</u>

• Equation = $2(\frac{7}{4}w + w) = 176$

• length = 56 ft

• width = 32 ft

<u>Step-by-step explanation:</u>

The ratio of the length to width is 7:4.

∴ $\frac{l}{w} = \frac{7}{4}$

⇒ $l = \frac{7}{4} w$ [Equation 1]

We know that the perimeter of the garden is 176 feet.

∴ $2(l + w) = 176$

⇒ $2(\frac{7}{4}w + w) = 176$

⇒ $\frac{7}{4} w + w = 88$ [From Equation 1]

⇒ $\frac{7 w + 4w}{4} = 88$

⇒ $\frac{11w}{4} = 88$

⇒ $11w = 352$

⇒ $w = \bf 32 \space\ ft$

We know from Equation 1 that:

$l = \frac{7}{4} w$

∴ $l = \frac{7}{4} (32)$

⇒ $l = \bf 56 \space\ ft$

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If m∠JKM = 43, m∠MKL = (8 - 20), and m∠JKL = (10x - 11), find each measure.

Brut [27]

Correct Question: If m∠JKM = 43, m∠MKL = (8x - 20), and m∠JKL = (10x - 11), find each measure.

1. x = ?

2. m∠MKL = ?

3. m∠JKL = ?

Answer/Step-by-step explanation:

Given:

m<JKM = 43,

m<MKL = (8x - 20),

m<JKL = (10x - 11).

Required:

1. Value of x

2. m<MKL

3. m<JKL

Solution:

1. Value of x:

m<JKL = m<MKL + m<JKM (angle addition postulate)

Therefore:

$(10x - 11) = (8x - 20) + 43$

Solve for x

$10x - 11 = 8x - 20 + 43$

$10x - 11 = 8x + 23$

Subtract 8x from both sides

$10x - 11 - 8x = 8x + 23 - 8x$

$2x - 11 = 23$

Add 11 to both sides

$2x - 11 + 11 = 23 + 11$

$2x = 34$

Divide both sides by 2

$\frac{2x}{2} = \frac{34}{2}$

$x = 17$

2. m<MKL = 8x - 20

Plug in the value of x

m<MKL = 8(17) - 20 = 136 - 20 = 116°

3. m<JKL = 10x - 11

m<JKL = 10(17) - 11 = 170 - 11 = 159°

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