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3 years ago

ANSWER QUICK PICTURE ATTACHED

Mathematics

2 answers:

Fynjy0 [20]3 years ago

4 0

Answer:

x° = 20°

Step-by-step explanation:

Sum of angles of triangles = 180°

Therefore,

(x + 5) + (7x - 5) + x = 180

x + 5 + 7x - 5 + x = 180

9x = 180

x = 20

∠M = (x + 5) = 20 + 5 = 25°

∠L = (7x - 5) = 140 - 5 = 135°

∠N = x = 20°

Sonbull [250]3 years ago

3 0

Answer:

Step-by-step explanation:

x+5+x+7x-5=180 degree (being the interior angles of a triangle)

9x=180

x=180/9

x=20 degree

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Rachel has 30 pounds of a mixture of candy that sells for $1.00/lb. If lollipops sell for $0.95/lb and caramel candies sell for

Lina20 [59]

Answer:

Twenty Pounds

Step-by-step explanation:

Equation #1:

30lbs x Mix Price = (Lollipop Lbs x 0.95) + (Caramel Lbs X 1.10)

Equation #2:

Lollipops Lbs + Caramel Lbs = 30 Lbs

<em>Rearrange expressions to solve for different variables</em>

EQ1: Caramel Lbs = (30 - .95 Lollipop Lbs)/ 1.10 NOTE: (mix price = 1.00)

EQ2: Lollipop Lbs = 30 - Caramel Lbs

<em>Substitute formula 1 into formula 2</em>

Lollipop Lbs = 30 - [(30 - .95 Lollipop Lbs)/1.10]

<em>Distribute divisor</em>

Lollipop Lbs = 30 - 27.2727 + .8636 Lollipop Lbs

<em>Collect terms</em>

Lollipop Lbs = 2.7273 + .8636 Lollipop Lbs

<em>Remove .8336 Lollipops from both sides of the equation</em>

.1364 Lollipop Lbs = 2.7273

<em>Divide both sides by .1364 </em> (Answer is 19.9949 which rounds to 20)

Lollipop Lbs = 20

PROOF:

30 = (20 x 0.95) + (10 x 1.10)

30 = 19 + 11

30 = 30 TRUE!

6 0

2 years ago

Out of 75,000 voters in a constituency 65%

serious [3.7K]

<h3>Answer:</h3>

$\large\boxed{35\%\,\text{did not vote;}\,48,750\,\text{voted}}$

<h3>Step-by-step explanation:</h3>

In this question, we're trying to find the amount of people that did not vote and the percentage of people that didn't vote.

We know that 65% of people voted and percents are out of 100%.

We would subtract 65 form 100 to get out percentage that didn't vote.

$100-65=35$

35% of people didn't vote.

Now, we can solve the next question.

A total of 75,000 people voted. What we're going to have to do is find how much of 75,000 is 65%.

We would do this by multiplying 75,000 by 0.65

$75,000*0.65=48,750$

This means that 48,750 people voted.

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>

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Answer:

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