4(n+2)-2n=0
Distributive property

Answer:

O They are similar triangles.

Step-by-step explanation:

Given

Triangle X

[tex]\angle A = 30[/tex]°, [tex]\angle B = 90[/tex]°,  [tex]\angle C = 60[/tex]°

[tex]AB = 3,\ BC = 4,\ AC = 5.[/tex]

Triangle Y

[tex]\angle A = 30[/tex]°, [tex]\angle B = 90[/tex]°,  [tex]\angle C = 60[/tex]°

[tex]AB = 9,\ BC = 12,\ AC = 15.[/tex]

Required

The relationship between X and Y

From the given parameters, the corresponding angles of both triangles are equal i.e.

A = A, B = B and C = C

However, the side lengths are not equal.

The side lengths of Y is 3 multiplied by the side lengths of X.

This is shown below:

Triangle X

[tex]AB = 3,\ BC = 4,\ AC = 5.[/tex]

Multiply by 2 to get Triangle Y

[tex]AB= 3 * 3 = 9[/tex]

[tex]BC= 4 * 3 = 12[/tex]

[tex]AC = 5 * 3 = 15[/tex]

Since side lengths are not equal, but they have a common ratio of 3, then the triangles are similar.

Answer:

D- The set of whole numbers were 1<_x<18

Step-by-step explanation:

Answer:

Step-by-step explanation:

9gb/15s=0.6gb/s

32gb/80s=0.4gb/s

DeAndre laptop is faster.

wow his computer is  really fast

We have that  The laptop that downloads files at a faster rate is  Cheryl’s laptop

Y=0.4GB/s

From the question we are told that

9 GB (gigabyte) file in 15 seconds.

Cheryl’s laptop 80 seconds to download a 32 GB file.

Generally the equation for the   is mathematically given as

The rate of transfer for DeAndre’s is

X=\frac{9}{15}

X=0.6GB/s

The rate of transfer for Cheryl’s

[tex]Y=\frac{32}{80}\\\\Y=0.4GB/s[/tex]

Therefore

The laptop that downloads files at a faster rate is  Cheryl’s laptop

Y=0.4GB/s

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Answer:

6

Step-by-step explanation:

double numbers for ecquivelant ratios (i cant spell)

Answer:

half

Step-by-step explanation:

I got this answer by doing (22/7-2/3) and (22/7-2/3)/2 and comparing the results.

(22/7-2/3) = 52/21, which is about 2.47.

(22/7 - 2/3)/2 = 26/21, which is about 1.23.

With this, you can conclude that it would be half the value.

Answer:

x = 32

y = 16sqrt(5)

z = 8sqrt(5)

Step-by-step explanation:

x/16 = 16/8

x/16 = 2

x = 32

y^2 = 16^2 + 32^2

y^2 = 1280

y = 16sqrt(5)

z^2 = 8^2 + 16^2

z^2 = 320

z = 8sqrt(5)

Answer:

42.40

Step-by-step explanation:

Answer:

Its 15 because 3 times 5 = 15.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

took the test

The expression is equivalent to (n² - 7n + 12) is (n-4)/ (n+4).

The correct option is D.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:

Expression: (Math Operator, Number/Variable, Math Operator)

We have,

(n² - 7n + 12) / (n-3)(n+4)

So, Factorizing (n² - 7n + 12)  

= (n² -3n - 4n +12)

= n(n-3)- 4(n-3)

= (n-3)(n-4)

Then, (n² - 7n + 12) / (n-3)(n+4)

= (n-3)(n-4)/ (n-3)(n+4)

= (n-4)/ (n+4)

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Answer:

PR = 34.4

Step-by-step explanation:

x/54 = 7/11

11x = 378

x = 34.4

The ratio shows how many times one value is contained in another value.

The number of cups of strawberries Valerie used is 6 cups.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

The ratio of strawberries to melons is 3:4.

Let us consider,

Strawberries = 3x

Melons = 4x

Now,

A total of 14 cups of fruit were made.

This means,

14 = 3x + 4x

14 = 7x

x = 2

Now,

The number of cups of strawberries is 3x.

3x = 3 x 2 = 6 cups

The number of cups of melons is 4x.

4x = 4 x 2 = 8 cups.

We see that,

6 cups + 8 cups = 14 cups.

Thus,

The number of cups of strawberries Valerie used is 6 cups.

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Answer: 43.5

Step-by-step explanation:

Answer:

2/6; 3/9

Step-by-step explanation:

Multiply both the numerator and the denominator by the exact same number to find equivalent fractions

For example, I will randomly choose to multiply both by 2

Example 1:

1 × 2 / 3 × 2

2/6

Now, I'll do 3

Example 2:

1 × 3 / 3 × 3

3/9

You can check your work by dividing both the numerator and the denominator by the original fraction (1/3) to see if you get the number 1

Example 1:

2/6 ÷ 1/3

Copy dot flip

2/6 × 3/1

2 × 3 / 6 × 1

6/6

1

Example 2:

3/9 ÷ 1/3

Copy dot flip

3/9 × 3/1

3 × 3 / 9 × 1

9/9

1

Answer:  19/21 or 0.90 rounded

Step-by-step explanation  

First step: subtract 2/3 from 3 1/5 which equals 2 8/15

Second step is divide 2 8/15 by 2 4/5 which equals 19/21

Answer:

30y^2−23y−14

Step-by-step explanation:

Answer:5r2+2

Step-by-step explanation:

Distribute the Negative Sign:

=4r2−3r+2+−1(−r2−3r)

=4r2+−3r+2+−1(−r2)+−1(−3r)

=4r2+−3r+2+r2+3r

Combine Like Terms:

=4r2+−3r+2+r2+3r

=(4r2+r2)+(−3r+3r)+(2)

=5r2+2

Given:

Volume of a square base pyramid = 48 cubic inches.

Area of base = 36 sq. inches.

To find:

The height of the pyramid.

Solution:

Volume of a pyramid is

[tex]V=\dfrac{1}{3}Bh[/tex]

Where, B is the base area and h is the height of the pyramid.

Putting V=48 and B=36, we get

[tex]48=\dfrac{1}{3}(36)h[/tex]

[tex]48=12h[/tex]

[tex]\dfrac{48}{12}=h[/tex]

[tex]4=h[/tex]

Therefore, the height of the pyramid is 4 inches.

Answer:

Step-by-step explanation:

A(-10,-3), B(7,14)

slope of AB = (-3-14)/(-10-7) = 1

slope of perpendicular to AB = -1

equation of perpendicular through C(5,12):

y-12 = -(x-5)

y-12 = -x+5

x = -y+17

x-intercept is the value of x when y=0.

x-intercept = 17

(0,17) is a point on CD.

Answer:

4, 16

Step-by-step explanation:

[tex] a_n = 3a_{n - 2} - a_{n - 1} - 1 [/tex]

Let's see if it works for a_3:

[tex] a_3 = 3a_{1} - a_{2} - 1 [/tex]

[tex] a_3 = 3(3) - (4) - 1 [/tex]

[tex] a_3 = 4 [/tex]

Yes, it works for a_3.

Now let's calculate a_4.

[tex] a_4 = 3a_{2} - a_{3} - 1 [/tex]

[tex] a_4 = 3(4) - (4) - 1 [/tex]

[tex] a_4 = 7 [/tex]

a_4 is also correct.

Let's calculate a_5.

[tex] a_5 = 3a_{3} - a_{4} - 1 [/tex]

[tex] a_5 = 3(4) - 7 - 1 [/tex]

[tex] a_5 = 4 [/tex]

Let's calculate a_6.

[tex] a_6 = 3a_{4} - a_{5} - 1 [/tex]

[tex] a_6 = 3(7) - 4 - 1 [/tex]

[tex] a_6 = 16 [/tex]

Answer: 4, 16

Answer:

x = -3/7

Step-by-step explanation:

(2x-2)/x-3 = 5/6

(2x-2)×6 = 5×(x-3)

12x-12 = 5x-15

12x-5x = -15+12

7x = -3

x = -3/7

Final answer x is equal to -3/7.

Answer:

yes.

honestly, I didn't really do all the math.

3 in 18 minutes, a little better than 3 in 20 minutes. that translates to 9 in an hour, with 6 minutes left over.

3 hours of that (3×9) is the 27. with 6 minutes per hour left over, for a total of 18 minutes.

the teacher has time to grade the tests, get a cup of coffee, and take a few minutes to wonder why she didn't go into an easier line if work.

Answer:

90,45,45

Step-by-step explanation:

it a system of equations

say that x y and z are each angles of the triangle

that means that they add up to 180 so x+y+z=180

the question says that two of the angles in the triangle are equal so we can just say that x=y

and it says that the two angles that are the same length have a sum that is equal to the third side of the triangle which basically is x+y=z

x+y+z=180

x+y=z

x=y

we start with the first two equations:

since x+y=z then we can substitute z in for x+y in the first equation

z+z=180

2z=180

z=90

and since x=y then

x+x=z

2x=90

x=45

y=45

z=90

hope that helps :)

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