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ruslelena [56]
3 years ago
13

What is the first step in proving that the sum of the measures of triangle XYZ is 180°?

Mathematics
1 answer:
Firdavs [7]3 years ago
8 0

Answer:

To prove that sum of the measures of triangle XYZ is 180°

Out of the four options given

A. Construct a bisector of angle Z

B. Construct a midpoint of segment YZ

C. Construct a line parallel to segment XZ

D. Construct a perpendicular bisector of segment XY

Option C Construct a line parallel to segment XZ  is correct.

Draw a line l passing through vertex Y parallel to XZ. As alternate angles becomes equal, and applying linear pair axiom on point Y and then By substitution you can prove sum of the measures of angles of triangle XYZ is 180°.





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PLEASE I NEED HELP, DUE IN 1hr!!!!
cricket20 [7]

Answer:

$137,339.88

Step-by-step explanation:

Here is the equation for compound interest: A=P(1+(r/n))^nt

where A=amount of money, P=principal, r= rate in decimal, n=number of times compounded per t, and t=time

In this case:

A=$250,000

P= ?

r= 0.04

n= 12 month/yr

t= 15 yrs

You can manipulate the equation to solve for P:

P=A/[(1+(r/n))^nt]

Plug in variables then solve:

P= \frac{250,000}{(1+\frac{0.04}{12})^{12*15} }

P=137339.8761 = $137,339.88

6 0
3 years ago
Vanessa is training for the marathon.She runs 4 1/2 miles each
neonofarm [45]

Answer:

54 miles

Step-by-step explanation:

4.5 miles each day except Sunday is 6 days per week

In 2 weeks, she runs 12 days

4.5 miles × 12 = 54 miles

8 0
3 years ago
Read 2 more answers
If you don’t know the answer don’t answer it pls help me out if you do tho!
antoniya [11.8K]

Answer: x = 8

Step-by-step explanation:

Hello again XD.

This is a coordinate plane and all the angles on a coordinate plane add up to 360°

Divide 360 by 4 to get the measurement of the section we are working in.

360/4 = 90°

This means it is complementary and complementary angles state that both separate angles added together = 90°

therefore,

6x + 2 + 40 = 90

combine like terms:

6x + 42 = 90

now subtract 42 from both sides

6x = 48

divide 6 from both sides to get:

x = 8

Let me know if you have any more questions you want answered and I hope I explained this well.

5 0
2 years ago
Today, everything at a store is on sale. The store offers a 20% discount. Write an equation for this situation in terms of y.
SpyIntel [72]

The discount price will be 0.8X dollars.

Step-by-step explanation:

Given,

Price of an item = X dollars

Discount = 20%

Amount of discount = 20% of Price of item

Amount of discount =  

Price of item after discount = Price of item - Amount of discount

Price of item after discount = X-0.2X = 0.8X dollars

The discount price will be 0.8X dollars.

Keywords: discount, subtraction

8 0
3 years ago
write an equation that demonstrates the relationship between x and y for the points plotted on the coordinate grid ​
svetoff [14.1K]
Answer: y=3x-7

Explanation:

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3 years ago
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