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skelet666 [1.2K]
3 years ago
15

Prove theorems about triangles

Mathematics
1 answer:
Aleks04 [339]3 years ago
3 0
  • Answer & step-by-step explanation:

<em>a) impossible</em>

<em>b)  the sum of the angles in a triangle is 180°</em>

<em>63° + 59° + 57° = 179°</em>

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3 times the first of three consecutive odd integers is 3 more than twice the third? what is the third integer
fenix001 [56]

Answer:

15

Step-by-step explanation:

The difference between consecutive integers is 1.

The difference between consecutive odd integers is 2.

Let the smallest odd integer be x.

Then the next greater one is x + 2. The greatest one is x + 4.

"3 times the first" is 3x

"twice the third" is 2(x + 4)

"3 times the first of three consecutive odd integers is 3 more than twice the third"

3x = 2(x + 4) + 3

3x = 2x + 8 + 3

x = 11

The smallest integer is 11.

x + 4 = 11 + 4 = 15

The greatest one is 15.

4 0
3 years ago
Automobile engineers wanted to check the effect of a new automatic transmission on mileage. They selected 50 cars of the same ma
daser333 [38]

Answer:

d. Twenty-five cars are randomly selected with the new transmission and 25 with the old transmission.

Step-by-step explanation:

A hypothesis test on the difference between the means must satisfy the following conditions

1) the samples must be randomly selected

2) each sample must have a known standard deviation

3) the samples must be independent

4) the samples must be from normal distribution

Hence only part d gives the right answer.

3 0
2 years ago
Write an equation of a line that is perpendicular to the line x-2y=8
Helen [10]

2x+y=8 is the equation perpendicular to x-2y=8.

6 0
2 years ago
Read 2 more answers
Which of the following expressions is written in simplest form
nadya68 [22]

Answer: I x^2 y^3 z

Step-by-step explanation:

This is the one most simplified. I’ll tell you why the others are incorrect.

F) 3^5 x^2 can be simplified. 3^5= 243. The simplified answer would be 243 x^2

G) (5y)^3= 125y^3

H) a^0 b (^0= 1 always) -> ab

Hope this helps!

3 0
3 years ago
It takes Adam 5 minutes to shower, 15 minutes to get dressed and 25 minutes to eat breakfast before leaving for school. How long
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It takes Adam 45 minutes to get ready
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2 years ago
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