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3 years ago

Below are the steps to solve an equation:

Mathematics

1 answer:

san4es73 [151]3 years ago

5 0

|x -5| = 3
+5 +5
x = 7

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How to do this problem??

lorasvet [3.4K]

We know that the sum of the inner angles of any triangle is 180º

72º + (7x + 3)º + (3x + 5)º = 180º
72º + 7xº + 3º + 3xº + 5º = 180
7xº + 3xº = 180º - 72º - 3º - 5º
10xº = 100º
$x^0 = \frac{100^0}{10^0}$
$x^0 = 10\to\:\boxed{\boxed{x = 10^0}}\end{array}}\qquad\quad\checkmark$

The sum of the external angle (9y + 1)º with inner angle (3x + 5) = 180 °, <span>Replace the measure of "x" found:
</span>
(9y + 1)º + (3x + 5)º = 180º
9yº + 1º + 3xº + 5º = 180º
9yº + 1º + 3.(10)º + 5º = 180º
9yº + 1º + 30º + 5º = 180º
9yº = 180º - 1º - 30º - 5º
9yº = 144º
$y^0 = \frac{144^0}{9^0}$
$y^0 = 16\to\:\boxed{\boxed{y = 16^0}}\end{array}}\qquad\quad\checkmark$

Answer:
<span>The measures of "x" and "y" are respectively: 10º and 16º</span>

6 0

3 years ago

Evaluate 5 + b ÷ (11 - 9) for b = 14.

Trava [24]

Answer:

Step-by-step explanation:

5 + b ÷ (11 - 9)

Substitute b = 14

5 + 14 ÷ (11 - 9)

Work the order of operations from left to right

Since there are no exponents, parentheses first

5 + 14 ÷ (11 - 9)

5+14 ÷ 2

Then division

5+7

Then addition

8 0

3 years ago

Read 2 more answers

Find the distance CD rounded to the nearest tenth C=(5,6) D=(2,2)

Dmitriy789 [7]

2,2 is 3,4 away from 5,6 and 3²+4²=25=5² so CD=5

3 0

3 years ago

Rosemary had $25 to spend on school supplies she buys four packages of mechanical pencils. After her trip to the store, she only

Alinara [238K]

Answer: Each pack of pencils cost $6.

Step-by-step explanation: Rosemary had $25 and was left with $1, so she spent $24 in total for four packages, therefore, you can divide $24 into 4 to find out the individual cost, which is $6.

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2 years ago

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Audrey has $120 to spend on a tennis racket and lessons the racket cost $45 and the lessons cost $15 per hour to find the variab

Leni [432]

Answer:

120 = 15x + 45 5 hours of lessons

Step-by-step explanation:

120 is total money so that goes on one side.

45 is a one-time cost so it is on its own.

15 per hour is another cost but this one depends on a variable so it has an x.

X represents the number of hours.

You put this together to from the equation: 120 = 15x + 45.

Subtract 45 from both sides: 75 = 15x

Divide 15 from both sides: 5 = x.

X = hours so 5 hours

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3 years ago

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