Kiesha and her classmates wrote proportions for the reduction of a triangle.

A larger and smaller triangle have corresponding heights and bases.

Which proportions are set up correctly? Select three options.
StartFraction original height over original base EndFraction = StartFraction reduction height over reduction base EndFraction
StartFraction original height over reduction height EndFraction = StartFraction original base over reduction base EndFraction
StartFraction original height over reduction base EndFraction = StartFraction reduction height over original base EndFraction
StartFraction reduction height over reduction base EndFraction = StartFraction original height over original base EndFraction
StartFraction original height over original base EndFraction = StartFraction reduction base over reduction height EndFraction

Answer:

has 3 sides

The formula for sum of interior angles is S = (n - 2) * 180. Therefore, 1980° = (n - 2) * 180. or, (n - 2) = 1980 / 180 = 11. or, n = 13

Step-by-step explanation:

that should be the answer

ur welcome

hope it helps

Answer:

length: 11m. width: 5m. Hope this helps

Ans Measurement is the process of comparing and unknown physical quantity with a known or standard one.

The baker would be able to make 465 cakes. Or D.

Because, 7 x 60 = 420. 60 ÷ 4 = 15. 15 x 3 = 45. 420 + 45 = 465.

Answer:

First choice

Step-by-step explanation:

Answer: Find 9 on the number line and move 5 to the left. The stopping point of 4 is the sum of this expression.

Answer:

4 games

Step-by-step explanation:

23 - 3 = 20

20 / 5 = 4

Answer:

1/5

Step-by-step explanation:

......................

Answer:

10/50 - 1/5. The simplest form is 1/5

Hope This Helps!

Answer:

jguifutrdduturdrfuy

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

The slope of the linear graph in the question obtained using the ratio of the rise and run of the line is 2.

Recall :

Slope = Rise / Run

From the graph :

Rise = y2 - y1 = 5 - (-1) = 5 + 1 = 6

Run = x2 - x1 = 2 - (-1) = 2 + 1 = 3

The slope of the graph can be expressed thus :

Therefore, the slope of the line in the graph attached is 2

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Answer:

15/4

Step-by-step explanation:

Answer:

15/4

Step-by-step explanation:

log2x-log(x-3)=1

log(2x/x-3)=1

2x/x-3=10¹

2x/x-3=10

2x=10x-30

10x-2x=30

8x=30

x=30/8

x=15/4

Answer:

Y= 60 degrees.

Step-by-step explanation:

A traingle's three angles always equals 180 degrees. since the singular line on the triangle on the right mean the side are equal, the angles are also equal. 180 divided by 3 equals 60 degrees.

Answer:It takes 250 g of pasta and 240 ml of sauce to make one batch of spaghetti and it takes 600g of pasta and 700ml of sauce to make one batch of lasagna.

Case 1: Pasta

The chef wants to make spaghetti and lasagna using more than 4000 g of pasta.

S denote the number of batches of spaghetti he makes and L the number of batches of lasagna he makes.

So the equation becomes :

Case 2: Sauce

chef wants to make spaghetti and lasagna using more than 5000 ml of sauce.

S denote the number of batches of spaghetti he makes and L the number of batches of lasagna he makes.

So the equation becomes:

Answer :

The two equations are :

For pasta:

For sauce:

Step-by-step explanation:

The values of [tex]w[/tex] that make the inequality [tex]-w\ge7[/tex] true are

[tex]\{... ,-11,-10,-9,-8,-7\}[/tex]. An equivalent inequality, in terms of [tex]w[/tex], is [tex]w\le-7[/tex]

To get the values that make the inequality true, we have to solve the inequality for [tex]w[/tex]. This will also give an equivalent inequality in terms of [tex]w[/tex]

[tex]-w\ge7\\\\\implies \dfrac{-w}{-1}\le\dfrac{7}{-1}\\\\w\le-7[/tex]

the solution set is the set of values [tex]\{... ,-11,-10,-9,-8,-7\}[/tex]. In other words, [tex]w[/tex] can take up values less or equal to [tex]-7[/tex] to make the inequality  [tex]-w\ge7[/tex] true

Also, the inequality equivalent to [tex]-w\ge7[/tex] is [tex]w\le-7[/tex]

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Answer: 3 5/6

Step-by-step explanation:

A mixed number takes the whole number out of the improper fraction. The whole number 3 can be taken out of 23/6 (18/6). Then, there is a remainder of 5/6. Add the two together and the mixed number would be 3 5/6.

23/6 as a mixed number is [tex]3\frac{5}{6}[/tex]

A fraction represents a part of a whole.

We have to write 23/6 as a mixed number

Divide the numerator (23) by the denominator (6) and write the result as a whole number plus a fraction

23 ÷ 6 = 3 with a remainder of 5

So, 23/6 is equal to 3 and 5/6 as a mixed number.

Hence, 23/6 as a mixed number is [tex]3\frac{5}{6}[/tex]

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Answer:

5/6

Step-by-step explanation:

If you minus 1 1/2 from 2 1/3 you get 5/6 left.

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5/6 cups of more chocolate chips should be added to the batter.

Given that, the recipe calls for [tex]2\frac{1}{3}[/tex] cups of semi-sweet chocolate chips. Selena has already put in [tex]1\frac{1}{2}[/tex] cups into the batter.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Number of more cups of chocolate chips should be added to the batter = [tex]2\frac{1}{3}-1\frac{1}{2}[/tex]

= 7/3 - 3/2

= 14/6 - 9/6

= (14-9)/6

= 5/6

Therefore, 5/6 cups of more chocolate chips should be added to the batter.

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Answer:

Check explanations for answer

Step-by-step explanation:

Here, we want to find out how Gerard came to the conclusion

For him to arrive at this conclusion, then we should consider the lengths given if they form a right triangle and are suitable for the building frame

From the lengths that we have

If we square the longest length, then the sum of the squares of the two other lengths should be the same as it is

This is in obedience to Pythagoras’ theorem

However, this does not hold

√(150)^2 is not equal to 8^2 + (√(95))^2)

and so since this does not work, then the triangle is not right-angled and cannot be use as the frame

Answer:

Step-by-step explanation:Sample Response: Gerard determined that the squares of the two smaller sides did not equal the square of the longest side. The side lengths did not create a true statement of the Pythagorean theorem.

Answer:

[tex]f(x) = -3x+4[/tex]

Step-by-step explanation:

We can use the form [tex]y=mx+b[/tex] to find the linear function.

From [tex]f(2)=-2[/tex] , we can write:

[tex]-2=2m+b[/tex]

From [tex]f(1)=1[/tex] , we can write:

[tex]1=m+b[/tex]

To find for [tex]m[/tex], we can substract the second equation from the first:

[tex]2m+b-(m+b) = -2-1[/tex]

[tex]2m+b-m-b=-3[/tex]

[tex]m=-3[/tex]

To find for [tex]b[/tex], we can use substitution:

[tex]1 = m+b[/tex]

[tex]1 = -3+b[/tex]

[tex]b=4[/tex]

∴ [tex]f(x) = -3x+4[/tex] is the linear function.

Hope this helps :)

Answer:

45 miles

Step-by-step explanation:

Use the Pythagorean Theorem. Imagine a line connecting the ends of the right angle you made by driving. It would make a right triangle. You are trying to find the hypotenuse. Use the formula [tex]a^{2} +b^{2} =c^{2}[/tex]. Square 27, or multiply 27 by 27, to get 729. Add this to the square of 36, 1296. So [tex]c^{2}[/tex] = 2025. Find the square root of 2025. [tex]\sqrt{2025}[/tex] = 45. Hope this helped ^^

Answer:

30

Step-by-step explanation:

The rise is the space between the two points vertically.

We can take the two y points (60 and 120) and find the difference between the two. 120 - 60 = 60 between the two. That means the rise = 60.

The run is the difference between the two points horizontally. We can take the two x points (4 and 2) and find the difference between the two. 4 - 2 = 2. The run = 2. Rise/run = 60/2. This can be simplified to 30/1 or 30.

Answer:

True

Step-by-step explanation:

-10×5+5=-9×5

-45=-45

So it's 100% true

Because -45 is equal to -45

Answer:

C and A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

It's a right triangle so you can use a^2 + b^2 = c^2

a = 3

c = 5

3^2 + b^2 = 5^2         Expand

9 + b^2 = 25              Subtract 9 from both sides

b^2 = 25 - 9

b^2 = 16                     Take the square root of both sides.

√b^2 = √16

b = 4

Answer:

21

Step-by-step explanation:

30 ÷ 100 x 70

My Answer:

21  bikini styles

Step-by-step explanation/math I took to do the problem:

30 ÷ 100 x 70

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[tex]7d + d - 4d - 7 = 5d[/tex]

[tex]8d - 4d - 7 = 5d[/tex]

[tex]4d - 7 = 5d[/tex]

[tex]5d = 4d - 7[/tex]

Subtract sides 4d

[tex] - 4d + 5d = - 4d + 4d - 7[/tex]

[tex]d = - 7[/tex]

Thus the correct answer is Option three.

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Answer:

3

Step-by-step explanation:

start by added 24 to both sides to get

6x = 18

then divide 18 by 6 to get

x = 3

Answer:

x=3

Step-by-step explanation:

Get your constant -24 to the other side to isolate the 6x.

-24+24+6x=-6+24

6x=18

Now since the 6 is multiplied by the x to isolate the x further divide 6x by 6, make sure to divide both sides. It should look like:

6x/6=18/6

x=3

To prove the answer just plug in 3 into the orginal equation and if both sides are equal its correct.

Answer:

There are 0.475 pounds of apples in each tart.

I arrived in this number by dividing the total number of pounds by the total number of tarts made.

475 pounds divided by 1000 tarts is equal to 0.475 pounds per tart.

475 lbs/1000 tarts = 0.475 lbs/tart

So, if you are to bake a certain number of tarts and need to know the total number of pounds of apple needed to bake you can use this equation.

y = 0.475x

where y represents the total number of pounds needed to bake x number of tarts with a fixed 0.475 pounds per tart.

Step-by-step explanation:

Answer:

4 = 8b >> b = 1/2 or 0.5

Step-by-step explanation: