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3 years ago

10

You're given two side lengths of 6 centimeters and 9 centimeters. Which measurement can you use for the length of the third side

to construct a valid triangle?

1 answer:

Zarrin [17]3 years ago

7 0

Does it have to be a different number if not do nine cause then the bottom line soul be 6 and the sides would be 9

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mafiozo [28]

Answer:

$x$ = 12

Step-by-step explanation:

The shape ABCDEF is an irregular polygon.

The sum of the interior angles of any regular or irregular polygon = (n - 2) x 180 (where n is the number of sides of the polygon).

Therefore, the sum of the interior angles of shape ABCDEF = (6 - 2) x 180 = 720°

So to find the value of $x$ , we need to add together all the interior angles and equal it to 720, then solve for $x$ .

Before we do that, we need to determine angle F.

From inspection, we can see that angle F and 52° are a linear pair. We know that a linear pair of angles add up to 180°, so F + 52 = 180 ⇒ F = 180 - 52 = 128°

Therefore:

A + B + C + D + E + F = 720

(10 $x$ - 5) + 108 + (8 $x$ - 3) + (14 $x$ - 25) + 133 + 128 = 720

Collect like terms:

10 $x$ + 8 $x$ + 14 $x$ - 5 + 108 - 3 - 25 + 133 + 128 = 720

Combine like terms:

32 $x$ + 336 = 720

Subtract 336 from both sides:

32 $x$ = 384

Divide both sides by 32:

$x$ = 12

8 0

3 years ago

Solve the equation-8+6m= 1/2(4m+16) for m

Lena [83]

Answer:

m = 4

Step-by-step explanation:

Given

- 8 + 6m = $\frac{1}{2}$ (4m + 16) ← distribute parenthesis

- 8 + 6m = 2m + 8 ( subtract 2m from both sides )

- 8 + 4m = 8 ( add 8 to both sides )

4m = 16 ( divide both sides by 4 )

m = 4

6 0

3 years ago

Read 2 more answers

Name the postulate or theorem you can use to prove the triangles congruent

Lesechka [4]

Answer:

ASA

Step-by-step explanation:

if you understood the other, similar questions now, this one is really, really easy.

we got the confirmation for 2 angles and the side between these angles.

so, angle side angle or ASA

6 0

3 years ago

Tyler needs at least $205 for a new video game system. he has already saved $30. he earns 7$ an hour at his job. write and solve

posledela

Answer: 25 hours is the answer

4 0

2 years ago

Read 2 more answers

The credit remaining on a phone card (in dollors) is a linear function of the total calling trime made with the card ( in minute

KATRIN_1 [288]

After 85 minutes of calls, there are $27.25 left on the card.

<h3>What is the remaining credit after 85 minutes of calls?</h3>

A linear equation in slope-intercept form is:

y = a*x + b

Where a is the slope.

If the line passes through two points (x₁, y₁) and (x₂, y₂) the slope is:

$a = \frac{y_2 - y_1}{x_2 - x_1}$

In this case, we know that the line passes through the points (22, 36.7) and (52, 32,20)

(points of the form (time, dollars)).

So the slope is:

$a = \frac{32.2 - 36.7}{52 -22} = -0.15$

The linear equation is then:

y = -0.15*x + b

To find the value of b, we use the point (22. 36.7)

36.7 = -0.15*22 + b

36.7 + 0.15*22 = b = 40

Then the linear equation is:

y = -0.15*x +40

The amount remaining in the credit card after 85 minutes is given by evaluating the above equation in x = 85.

y = -0.15*85 + 40 = 27.25

This means that after 85 minutes of calls, there are $27.25 left on the card.

If you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

7 0

2 years ago