Match the term with the definition. Match

Term

Definition


corresponding angles A) the constant by which a figure (or the dimensions of a figure) increases or decreases
scale factor B) corresponding sides of two similar triangles
proportional C) figures that have congruent angles and corresponding sides that are proportional to one another
similar polygons D) these corresponding parts are congruent, given two similar triangles
scale drawing E) a depiction of a real object with accurate sizes except they have all been reduced or enlarged

Answers

Answer 1
Answer: Part 1.Corresponding angles

 = (e) .Corresponding sides of two similar triangles.

Remember - 
The angles in matching corners are called Corresponding Angles.

Part 2.Scale factor

= (d).the constant by which a figure (or the dimensions of a figure) increases or decreases.

Part 3.Proportional

= (c).these corresponding parts are congruent, given two similar triangles.

Part 4.Similar polygons

= (a).figures that have congruent angles and corresponding sides that are proportional to one another.

Part 5.Scale drawing.

= (b).a depiction of a real object with accurate sizes except they have all been reduced or enlarged. 

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A system of linear equations is shown below. 2x+4y=103x−y=8 Maria is attempting to prove that by replacing 2x+4y=10 with a different equation it will sometimes produce a new system of equations with the same solution. Maria plans on multiplying 2x+4y=10 by 2 and then adding the results to the equation 3x−y=8 in order to create a new equation. Maria claims that the new equation that she will replace 2x+4y=10 with is 7x+7y=12. Is Maria correct? Why or why not?
The box plots show the number of hours of television a group of middle school students and a group of elementary school students watch each week.Which are true statements when comparing the data in the box plots? Select three choices.The data for elementary school are more consistent than those for middle school.More of the data for middle school lie closer to the median than the data for elementary school.About 50% of elementary school students watch between 4 and 7 hours of television each week.About one-half of middle school students watch less than 2 hours of television each week.On average, middle school students watch less television than elementary school students each week.

In the last 2 weeks, a plant grew 1/16 in. and 3/16 in. respectively.How much did the plant grow in the last 2 weeks?

Express your answer in lowest terms.


in.

Answers

Answer: (1)/(4)\ in.

Step-by-step explanation:

Given: In the last 2 weeks, a plant grew (1)/(16)\ in. and (3)/(16)\ in.respectively.

To find the total plant growth in the last 2 weeks, we need to add the growth registered in each week.

Thus, the total growth = (1)/(16)+(3)/(16)=(4)/(16)=(1)/(4)\ in.

Hence, the plant grow (1)/(4)\ in. in the last 2 weeks.

1/16 + 3/16=4/16 = 2/8 = 1/4 = The total amount of growth in the last two weeks.

Taylor cuts 1/5 sheet of construction paper. What fraction is equivalent to 1/5 ?1/6 3/15 15/45 15/3

Answers

3/15 is equal to 1/5.

Molly's custom kitchen supplies sells handmade forks and spoons. It costs the store $1.70 to buy the supples to make a fork and $1.30 to buy the supplies to make a spoon. The store sells forks fr $5.60 and spoons for $5.40. Last April Molly's custom kitchen supples spent $37.90 on materials for forks and spoons. They sold the finished products for a total of $147.20 . How many forks and how many spoons did they make?

Answers

let the no of forks be x and no of spoon be y 
1.7x + 1.3y = 37.9
5.6x + 5.4y = 147.2
solving for x and y, we get
multiplying eqn 1 by 5.6 and equation 2 by 1.7 we get
9.52x + 7.28y = 212.24
9.52x + 9.18y = 250.24
subsrtracting eqns we get 
7.28y - 9.18y = 212.24 - 250.24
1.9y = 38
y = 20
x = (37.9 -1.3*20)/1.7
= 7

Alex determines that there are 5 chocolate candies per cubic inch. If there are 150 chocolate candies in a jar, what is the volume of the jar?

Answers

The answer is 30 cubic inches.

If 5 chocolate candies are in 1 cubic inch, 150 chocolate candies will be in x cubic inches:
5 chocolate candies : 1 cubic inch = 150 chocolate candies : x cubic inches
5 : 1 = 150 : x
5 = 150 : x
x = 150 : 5
x = 30

So, if 150 chocolate candies are in a jar, the volume of the jar is 30 cubic inches.

Answer:

30 in^3

Step-by-step explanation:

Divide 159 by 5. The volume of the jar is 30 in^3

Find the measure of the indicated angle to the nearest degree.

Answers

you would do tanƟ = 9/12
tan^-1(9/12) = 
Ɵ
Ɵ = 36.87 degress
make sure your calculator is in degree mode

The answer is 36.87 degree. I hope it helps!

Tamara says that 15 / 3 = 5 is she correct ? explain

Answers


Yes, Tamara is correct. If you multiply 5 to 3 to check your answer you will get 15.