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strojnjashka [21]
3 years ago
6

How do you solve this

Mathematics
1 answer:
blsea [12.9K]3 years ago
8 0

Answer:

x = 8

Step-by-step explanation:

The angles shown are vertical angles

Vertical angles are congruent hence 8x + 36 = 5x + 60

( Notice that we just created an equation that we can use to solve for x )

We now solve for x algebraically

8x + 36 = 5x + 60

Step 1: Subtract 5x from both sides

8x - 5x + 36 = 5x - 5x + 60

Outcome: 3x + 36 = 60

Step 2: Subtract 36 from both sides

3x + 36 - 36 = 60 - 36

Outcome: 3x = 24

Step 3: Divide both sides by 3

3x/3 = 24/3

Outcome: x = 8

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I need help on 2 3 and 4
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Find the arc length of the semicircle. 7the grade
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so, is a semi-circle, half a circle, recall a circle has a total of 360°, so half of that will be 180°.

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\bf \textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ \theta =180\\ r=5 \end{cases}\implies s=\cfrac{(180)(\pi )(5)}{180}\implies s=5\pi \stackrel{\pi =3.14}{\implies s=15.7}

3 0
3 years ago
Use the tests for divisibility to determine which numbers divide evenly into the given number.
drek231 [11]

The numbers that can divide 648 evenly, using the divisibility tests, include <u>1, 2, 3, 4, 6, 8, 9, 12, and 18</u> and some multiples of any two numbers.

<h3>What is the divisibility test?</h3>

A divisibility test is performed to identify whether a number can be divided evenly by a fixed divisor without a remainder and without actually performing the division process.

<u>Divisibility by 1</u>: Every number is divisible by 1 = 648 (648/1).

<u>Divisibility by 2</u>: 648 is an even number and divisible by 2 = 324.

<u>Divisibility by 3</u>: Sum the digits (18). 18 is divisible by 3 = 6 (18/3).

<u>Divisibility by 4</u>: The last two digits (4 and 8) form a number (12) that is divisible by 4

<u>Divisibility by 6</u>:  It is divisible by 2 and by 3

<u>Divisibility by 8</u>: If the hundreds digit is even, the number formed by the last two digits must be divisible by 8.

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<u>Divisibility by 12</u>: 648 is divisible by 3 and by 4.

<u>Divisibility by 18</u>: 648 is divisible by 2 and by 9.

Learn more about the divisibility tests at brainly.com/question/24125354

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5 0
1 year ago
Graph the system of equations to find the solutions of x3 + 6x2 - 40x = 192. y = x3 + 6x2 - 40x y = 192 Select all of the soluti
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It would be x=6,−4,−<span>8, good luck</span>

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