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3 years ago

Please help! Quick!

Mathematics

1 answer:

ira [324]3 years ago

6 0

Answer:

The answer is 27 miles in the morning and 85 miles in the afternoon.

Step-by-step explanation:

So first you have to set up an equation.

X represents: the number of miles they rode in the morning.

3X + 4 represents: 4 more than 3 times this many in the afternoon

3X+4 + X = 112 represents: adding the morning miles and the afternoon miles together to get the total trip of 112 miles

Your equation to solve 3X+4+X =112

Now you can solve the equation

3X+4+X =112

Combine like terms (x's)

3X + X = 4X

4X+4=112

Subtract 4 from each side:

4X+ 4 - 4= 112-4

4-4 = 0 and 112-4 = 108

4X = 108

Divide both sides by 4

4X/4 = 108/4

4/4 = 1X and 104/4 = 27

X = 27

Remember X represents the number of miles they rode in the morning, so they rode 27 miles in the morning.

Remember 3X+4 represents the number of miles they rode in the afternoon.

3X+4 =

3(27)+4 =

81+4 =

85 miles.

That means in the afternoon, they rode 85 Miles

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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

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

$2x - 11 = 23$

Add 11 to both sides

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

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Divide both sides by 2

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

$x = 17$

2. m<MKL = 8x - 20

Plug in the value of x

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-x = 6/35 - 4/7

You need both of the fractions to the right of the equal sign to have the same denominator so that we could simplify them, so multiply 5/5 to -4/7.

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