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2 years ago

Can someone help me out and show me the work to solve this question

Mathematics

1 answer:

Alina [70]2 years ago

4 0

Answer:

x = 105

y = 64

Step-by-step explanation:

Inside the four sided figure, the angles must add to 360. So 121+70+x+y = 360. You also know that a straight line is 180. This means 116 + y = 180. Using them together you can solve for the variables. Begin by substituting the equation 116 + y = 180 into the other equation.

116 + y = 180 converts to y = 180-116 = 64.

Substitute y = 64 into 121 + 70 + x + y = 360.

191 + x + 64 = 360

255 + x = 360

x = 105

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Kendra found two worms in the yard and measured them with a ruler. One worm was 7 2/3 inches long. The other worm was 2 1/6 inch

Black_prince [1.1K]

Answer:

5½ inches

Step-by-step explanation:

7⅔ - 2 1/6 = 7 4/6 - 2 1/6 = 5 3/6 = 5½

3 0

2 years ago

A catering service offers 5 appetizers,4 main courses, and 8 desserts. A customer is to select 4 appetizers,2 main courses,and 3

Alisiya [41]

Answer:

468 ways

Step-by-step explanation:

Given: A catering service offers 5 appetizers, 4 main courses, and 8 desserts

To find: number of ways a customer is to select 4 appetizers, 2 main courses,and 3 desserts.

Solution:

A permutation is an arrangement of elements such that order of elements matters and repetition is not allowed.

Number of appetizers = 5

Number of main courses = 4

Number of desserts = 8

Number of ways of choosing k terms from n terms = $nPk=\frac{n!}{(n-k)!}$

Number of ways a customer is to select 4 appetizers, 2 main courses,and 3 desserts = $5P4+4P2+8P3$

$=\frac{5!}{(5-4)!}+\frac{4!}{(4-2)!}+\frac{81}{(8-3)!}\\=5!+\frac{4!}{2!}+\frac{8!}{5!}\\=5!+(4\times 3)+(8\times 7\times 6)\\=120+12+336\\=468$

So, this can be done in 468 ways.

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2 years ago

Help if you can, thanks.

Leya [2.2K]

Answer:

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Step-by-step explanation:

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1 year ago

Simplify. 9x^8-18x^6

GrogVix [38]

You cannot simplify this but you can factorise it:

9x^6 (x^2 - 2)

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2 years ago

The two triangles in the image are similar. What is the value of TR?

eimsori [14]

Answer:

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Step-by-step explanation:

48 ÷ 8 = 6

This means the scale factor to get from triangle TSR to triangle PSQ is 6, so...

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TR = 5

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2 years ago