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kaheart [24]
2 years ago
8

Solve for x and y then find the measurement of each angle ​

Mathematics
1 answer:
nevsk [136]2 years ago
3 0

Answer:

x = 10

y = 40

Step-by-step explanation:

DE is a straight line so the sum of angles DBA and ABE is equal to 180

13x - 18 + 5x + 18 = 180 add like terms

18x = 180 divide both sides by 18

x = 10

Same rule applies when calculating value of y

3y - 52 + 2y + 32 = 180 add like terms

5y - 20 = 180 add 20 to both sides

5y = 200 divide both sides by 5

y = 40

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Natalie’s income statement for the month of October is shown. Natalie monthly income statement for October. Total wages are 3,00
rusak2 [61]

Natalie’s net income for the month of October is $1,930.

<h2>Net Income </h2>

The net income of a person is the income of the person that is left with him after deducting all of his\her expenses and deductions.

\rm Net\ Income = Total\ salary - Total\ expenses - Deductions

<h2 /><h2>Given to us</h2>
  • Natalie's monthly income statement for October. Total wages are 3,000 dollars.
  • Total expenses are 1,070 dollars.

<h3 /><h3>Natalie’s net income</h3>

the total wage Natalie is already given is $3,000, and her expenses as $1,070, while there are no deductions from his salary. therefore,

\rm Natalie 's\ Net\ Income= Total\ salary - Total\ expenses - Deductions

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Hence, Natalie’s net income for the month of October is $1,930.

Learn more about Net Income:

brainly.com/question/25247632

7 0
2 years ago
Which theorem or postulate proves that △ABC and △DEF are similar?
yan [13]

Answer:

△ABC and △DEF are similar by SAS Similarity Theorem.

Option (C) is correct .

Step-by-step explanation:

Definition of SAS Similarity property

Two triangles are said to be similar by SAS Similarity property If two sides are proportional and one corresponding angle congruent .

In △ABC and △DEF

\frac{ED}{AB}= \frac{7}{21}

\frac{ED}{AB}= \frac{1}{3}

and

\frac{EF}{BC}= \frac{11}{33}

\frac{EF}{BC}= \frac{1}{3}

Thus

\frac{ED}{AB}=\frac{EF}{BC}= \frac{1}{3}

∠ABC = ∠DEF  (As given in the figure )

Thus △ABC and △DEF are similar by SAS Similarity property .

7 0
3 years ago
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Tpy6a [65]

Answer:

256.8

Step-by-step explanation:

the tenths place is the first number after the decimal.

7 0
3 years ago
Which of the following appear in the diagram below?
Radda [10]

Answer:

Step-by-step explanation:

Comment

The one you can pick out that is true is D. The others you have to be careful with. C is a line and it has two arrowheads in the symbol above the two letters which makes it correct as well. A is not correctly marked, so it is not there the way it is marked. One would think ZX is a ray the way it is marked.

Answer: C and D

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2 years ago
X = 4. 5x +23x^3 - 360.
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