MATHEMATICS MIDDLE SCHOOL

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.A triangle has 2 congruent sides. The angle between the 2 congruent sides is labeled x. The angles opposite of the 2 congruent sides each measure 65 degrees.

Find the measure of x in the triangle. Show all your work.

Answers

Answer 1

Answer:

Answer:

Therefore,

Measure of x is 50°.

Step-by-step explanation:

Given:

Let name the Triangle as ΔABC,as shown in the Figure below ,such that

AB ≅ AC ..... triangle has 2 congruent sides

∠A = x .....angle between the 2 congruent sides is labeled x

∠B = ∠C = 65° .....angles opposite of the congruent sides

To Find:

measure of x = ?

Solution:

Triangle sum property:

In a Triangle sum of the measures of all the angles of a triangle is 180°.

$\angle A+\angle B+\angle C=180\°$

Substituting the values we get

$x+65 + 65 = 180\n\nx=180-130=50\°$

Therefore,

Measure of x is 50°.

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The regular price of a Space Invader game is $52, but it is on sale. The discount is $13. What percent discount is this

Answers

Answer:

the game is 25 percent off

Step-by-step explanation:

discount = original price * percent off

13 = 52 * p

13/52 = p

1/4 = p

.25 = p

25% =p

That is a 25% discount,

Which expression represents the union of not a and not bA) P(A' ∩ B')

B) (A' ∩ B')

C) (A ∪ B)

D) A' ∪ B'

Answers

The expression represents the union of not A and not B will be A' ∪ B'. Then the correct option is D.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The expression represents the union of not A and not B mathematically as,

A' ∪ B'

Then the correct option is D.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

I think that would be D

15) 3x2 y4 z − 6xy − 3z(5x2) How many terms are in the expression?a. 1
b. 2
c. 3
d. 4

Answers

Ok name the expressions we both know 3z is one 5x is one 6xy is one do you think 3x^2y^4z is an expression i would give you the answer but i also want you to understand the problem and what your looking for to in the equation

The number of employees for a certain company has been decreasing each year by 6%. If the company currently has 720 employees and this rate continues, find the number of employees in 10 years.

Answers

Answer:

There will be 387

Step-by-step explanation:

This question is an example of compound decrease.

To work this out you would first have to convert the percentage of 6 into a decimal. You can do this by dividing the percentage of 6 by 100, this gives you 0.06. This is because percentages are out of 100.

The next step is to minus 0.06 from 1, this gives you 0.94. This is because we are working out the percentage decrease.

Finally to work this out you would multiply the amount of 720 by 0.94 to the power of 10, this gives you 387.80. However there can not be a decimal of a person and so it becomes 387. This is because it is working out 6% and subtracting it and then working out 6% of that new amount. This repeats 10 times.

1) Divide 6 by 100.

$6/100=0.06$

2) Minus 0.06 from 1.

$1-0.06=0.94$

3) Multiply 720 by 0.94 to the power of 10.

$720*0.94^10=387.80$

4) Round down

387

So the employees are decreasing by 6% every year.

We would represent this as: 0.06

We would represent 720 as: 720(1- .05)^0=720

So the equation would be: 720(1-0.06)^10=X
720(0.94)^10=X
720(0.53861511409)=X
387.8=X
388=X
So, after 10 years the company would have 388 employees left.

Pablo wrote tour division equations with 6 the quotient what could have been the four division equations that he wrote?

Answers

12 divided by 2, 24 divided by 4, 54 divided by 9, and 36 divided by 6.

Please help fast! I'll mark brainliest rate 5 and thanks if you get it right/answer FASTToday, Barry wants to write at least 50 pages of his research paper. Barry wrote 18 pages this morning. Barry averages about 8 pages per hour while writing.
Which inequality can be used to determine the fewest number of additional hours he will have to write in order to reach his goal?
A. 18 – 8h≥ 50
B. 18 + 8h≥ 50
C. 18 – 8h≤ 50
D. 18 + 8h≤ 50

Answers

at least
writeenpages>50

18 al ready written
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writtenpages=18+8h
18+8h>50

B

B is the correct answer. He starts from 18 then every hour writes 8 pages until he reaches(or goes beyond) 50.

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