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2 years ago

Can anyone help me with this?

Mathematics

1 answer:

Vika [28.1K]2 years ago

3 0

Answer:

x = 51

Step-by-step explanation:

The figure shown is a pentagon

The angles in a pentagon add up to equal 540

Which means that 77 + 107 + 156 + 149 + x = 540

^ ( note that we just created an equation that we can

use to solve for x )

We then solve for x using that equation

77 + 107 + 156 + 149 + x = 540

step 1 combine like terms

77 + 107 + 156 + 149 = 489

we now have 489 + x = 540

step 2 subtract 489 from each side

489 - 489 cancels out

540 - 489 = 51

we're left with x = 51

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3 years ago

Miya is picking up two friends to go the beach. She drives from her house to

Serga [27]

Answer:

Option (C)

Step-by-step explanation:

Coordinates of the point representing the location of Miya → (1, 10)

Coordinates of the point representing the location of Drea → (13, 1)

Coordinates of the point representing the location of Francine → (16, 1)

Coordinates of the point representing the location of Beach → (19, 4)

Distance between Miya and Drea = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

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= $\sqrt{144+81}$

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= 3 miles

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= $\sqrt{9+9}$

≈ 4.2 miles

Total distance between Miya and the beach = 15 + 3 + 4.2

= 22.2 miles

Option (C) is the answer.

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2 years ago

There are ten candidates for a job. The search committee will choose three of them, and rank the chosen three from strongest to

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Answer:

720

Step-by-step explanation:

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P(10,3)=10! / (10-3)!

= 10!/7!

Rewrite 10 ! as

10 * 9 * 8 * 7 ! / 7!

Cancel the common factor of 7 ! and divide ( 10 * 9 * 8 ) by 1

10 * 9 * 8 = 720

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3 years ago

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3 years ago

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2 years ago