MATHEMATICS HIGH SCHOOL

Are the triangles similar? If they are, identify the similarity ratio.A) Yes; the similarity ratio is 3:4.
B) Yes; the similarity ratio is 2:3.
C) Yes; the similarity ratio is 1:2.
D) No; the triangles are not similar.
Are the triangles similar? If they are, identify the similarity - 1

Answers

Answer 1
Answer: A, because if you match the left triangle's sides to the right triangle's sides and simplify the fractions the ratio is 3/4. 6/8= 3/4, 9/12=3/4. and 12/16=3/4

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Indicate true or false as to whether the following equation is quadratic 2x-4x+1=0

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False. I think you should just simplify the problem. Good luck:)

1. Which economic policy was used to help American industry during the Second Industrial Revolution? A.) laissez-faire capitalism
B.) socialism
C.) collective bargaining
D.) populism

2. During the early 20th century, corporations used holding companies to do which of the following?
A.) reduce the power of unions
B.) shelter earnings from income taxes
C.) pursue a policy of vertical integration
D.) exert a greater amount of political influence

3. What impact did developments in the steel industry during the 19th century have on the United States?
A.) They made steel stronger and more flexible, allowing for the development of aircraft for the military.
B.) They made the consumption of oil more important, resulting in a growing dependence on foreign energy sources.
C.) They made the production of the steel rails cheaper, helping to spread railroad networks throughout the nation.
D.) They made it possible to manufacture inexpensive cars, leading to the construction of interstate highways.

Answers

Hello!
 
Economic policy used in the US during the second industrial revolution was the model of laissez-faire capitalism. Socialism and populism have not been used often in the US. 

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The main consequence of the use of holding was to reduce the power of couplings, since it is configured symbolic monopoly.

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The steel industry has contributed to the territorial and technological expansion. This is remarkable when we look at the railroads.

hugs!
Below are the answers to the above questions:

1. laissez-faire capitalism
2. reduce the power of unions
3. They made the production of the steel rails cheaper, helping to spread railroad networks throughout the nation.

Thank you for posting your question here. I hope the answer helps. 

A pencil at a stationery store costs $1, and a pen costs $1.50. Stella spent $21 at the store. She bought a total of 18 items. Which system of equations can be used to find the number of pencils (x) and pens (y) she bought? x + 18y = 21 x = 1.5y 18x + y = 21 x = 1.5y x + 1.5y = 21 x + y = 18 1.5x + y = 21 x = 18y

Answers

Let x represent represent the amount of pencils that Stella bought, and y represent that number of pens that Stella bought.

We know that Stella bought 18 items total, meaning that the number of pencils and pens must equal 18 or :

x + y = 18

Additionally, we know that she spent $21, and that each pencil costs $1, and that each pen costs $1.50.  Therefore, 

1x + 1.5y = 21

So, the system of equations that can be used to find the number of pencils (x) and the pens (y) she bought would be:

x + 1.5y = 21
and 
x + y = 18
x+1.5y=21 because you're finding the equation you would use to find the number of pencils and pens she bought.
 Each pencil is $1 so that'd be 1x. When writing an equation, you don't write 1x, you just write x because that's all you have, 1 x. It's understood. 
Each pen is $1.50 so that would be 1.5y. 
x pencils+1.5y pens =21 dollars spent. 

Which measures would be the side lengths of a right triangle?A. 2 cm, 5 cm, 7 cm
B. 9 cm, 14 cm, 17 cm
C. 7 cm, 17 cm, 24 cm
D. 5 cm, 12 cm, 13 cm

Answers

Conditions for side lenghts for triangle:
a<b+c and
b<c+a and
c<a+b
so we check all posibilities:
A) 2+5=7 we can see that one condition is not fulfilled so they can't be side lenghts of triangle
B) 9<14+17
14<9+17
17<14+19
All conditions are fulfilled so they can be side lenghts of triangle
C)7<17+24
17<7+24
24<17+7
All conditions are fulfilled so they can be side lenghts of triangle
D)5<12+13
12<5+13
13<5+12
All conditions are fulfilled so they can be side lenghts of triangle
 

Use an algebraic equation to solve the problem. The sides of a triangle are in the ratio 3 : 4 : 5. What is the length of each side if the perimeter of the triangle is 90 cm? A. 10.5 cm, 11.5 cm, and 12.5 cm

B. 22.5 cm, 30 cm, and 37.5 cm

C. 7.5 cm, 11.5 cm, and 32.1 cm

D. 19.3 cm, 25.7 cm, and 32.1 cm

Answers

Answer:

The answer is the option B

22.5\ cm, 30\ cm, 37.5\ cm

Step-by-step explanation:

Let

a,b,and c the length sides of the triangle

we know that

a+b+c=90 ------> equation A

(a)/(b)= (3)/(4)

a=(3)/(4)b -----> equation B

(b)/(c)= (4)/(5)

c=(5)/(4)b -----> equation C

Substitute the equation B and equation C in the equation A

(3)/(4)b+b+(5)/(4)b=90

solve for b

3b=90

b=30\ cm

Substitute the value of b in the equation B

a=(3)/(4)(30)=22.5\ cm

Substitute the value of b in the equation C

c=(5)/(4)(30)=37.5\ cm

Ratio units = 3+4+5 = 12

perimeter = 90 (a+b+c)

1 unit value, 90/12 = 7.5

So, lengths will be 3(7.5), 4(7.5), 5(7.5)

OPTION B IS YOUR ANSWER

Round to the nearest whole number: 720 over 11

Answers

For this, you need to divide:  720 divided by 11.  That would be 65.45, but the instructions say to round to the nearest whole number, which is 66.  So your answer is 66!
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