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allsm [11]
2 years ago
11

A triangle has side lengths of 7 inches, 12 inches, and c inches. Enter values to write an inequality that describes the possibl

e values for c, the length of the third side of the triangle.
Mathematics
1 answer:
Leokris [45]2 years ago
6 0

<u><em>Answer:</em></u>

The inequality is: 5<c<19

Length of third side "c" can have values greater than 5 but less than 19

<u><em>Solution:</em></u>

Given that,

Length of two sides of triangle are 7 inches and 12 inches respectively

Let the length of third side be "c"

The Triangle Inequality Theorem, states that, the sum of the lengths of any two sides of a triangle is greater than the length of the third side

So we get a inequality as:

Case 1:

Sum of length of two sides of triangle > length of third side

Rewrite,

Case 2:

Let 12 inches be the length of third side

Sum of sides of length 7 and c > 12

Therefore from case 1 and case 2,

Which can be combined,

<u><em>Therefore the possible values of "c" are:</em></u>

<u><em>"c" can have values greater than 5 but less than 19</em></u>

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Sergeeva-Olga [200]

Answer:

y = 8x + 25

Step-by-step explanation:

Using the coordinates (10, 105) and (20, 185)

The standard linear equation is expressed as y = mx+c

m is the slope

c is the intercept

m = 185 - 105/20-10

m = 80/10

m = 8

Get the y-intercept

Since y = mx+c

105 = 8(10) + c

105 = 80 + c

c = 105 - 80

c = 25

Get the required equation

Recall that y = mx+c

y = 8x + 25

Hence the required equation is y = 8x + 25

6 0
3 years ago
Given that ​f(x) = x + 4 and ​g(x)​ = x^{2} - x, find ​(f​ + g)(​5), if it exists.
user100 [1]

Answer:

4

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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vodomira [7]

Answer

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4 0
3 years ago
Help!!!!!!!!!!!!!!!!!
Luden [163]
Half.

When you divide something by two, you halve its value.
7 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.

<u>Divisibility by 9</u>: Sum the digits (18). 18 is divisible by 9

<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

#SPJ1

5 0
1 year ago
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