1. What is the perimeter of the rectangle?

Answer:

x = 32

Step-by-step explanation:

Given

0.5x = 16 ( divide both sides by 0.5 )

x = [tex]\frac{16}{0.5}[/tex] = 32

Answer:

x=32

Step-by-step explanation:

You have to isolate x, so do the opposite operation, which is division (because 0.5 is multiplying by x). So you divide both sides by 0.5, x is isolated because 0.5/0.5 is 1 and 16/0.5 is 32.

Answer:

Buying price = x = Rs 750

Profit = Rs 120

Step-by-step explanation:

Buying price = x

Selling price = Rs 870

Profit = 16% of x

Profit = selling price - cost price

16% of x = 870 - x

0.16 * x = 870 - x

0.16x = 870 - x

0.16x + x = 870

1.16x = 870

x = 870 / 1.16

x = 750

Buying price = x = Rs 750

Profit = 16% of x

= 0.16 * Rs 750

= Rs 120

Profit = Rs 120

Answer:

2

Step-by-step explanation:

because line a d divided the triangle ABC is into equal parts therefore line BD is equal to line DC which is equal to 2

Answer:

The answer is 1 [tex]\frac{2}{3}[/tex]

The work is shown on the picture.

Step-by-step explanation: Hope this helps and mark brainliest if ya want :)!

Answer:

D. 2, -1

Step-by-step explanation:

I drew it out. I've never done this before

Answer:

2nd Option, 24/7

Step-by-step explanation:

here,

tan T = 7/24

or, cot T = 24/7

since its the same you will have to multiple it all to get the answer

Answer: A and C

Step-by-step explanation:

Answer:

2x+4

Step-by-step explanation:

if you double the triangle, than the sides double as well meaning you use distributive property to multiply two to each integer.

The length of AD given a scale factor of 2 is 10 units.

Given that, Δ ABC was dilated from point A to get Δ ADE.

We need to find the length of AD given a scale factor of 2.

The basic formula that is used for calculating the scale factor is the Scale factor = Dimension of the new shape ÷ Dimension of the original shape. In case, if the original figure is scaled up, the formula is written as, Scale factor = Larger figure dimensions ÷ Smaller figure dimensions.

Now, 2=(6x-8)/(x+2)

⇒6x-8=2(x+2)

⇒6x-8=2x+4

⇒4x=12

⇒x=3

Then, AD=6x-8=6×3-8=10 units.

Therefore, the length of AD given a scale factor of 2 is 10 units.

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Answer: it will

Step-by-step explanation:

your welcome

Answer:

80/3

Step-by-step explanation:

try mathw4y it helps alot.

Answer:

x = 80/3

Step-by-step explanation:

(4x+38) + (2x-18)=180

Combine like terms

6x +20 = 180

Subtract 20 from each side

6x+20 -20 = 180-20

6x = 160

Divide by 6

6x/6 = 160/6

x = 80/3

Step-by-step explanation:

The x are the values that you have been given

Answer:

x+8 =343

Step-by-step explanation:

5 ( x+8) ^ 1/3 = 35

Divide each side by 5

5/5 ( x+8) ^ 1/3 = 35/5

( x+8) ^ 1/3 = 7

Cube each side

( x+8) ^ 1/3  ^3= 7^3

x+8 =343

Hello

DEF and IKL , equilateral  =>

DE = 5x-12 = 3x-4

5x-3x= -4+12

2x= 8

x=4

DE = 5x-12 =  20-12 = 8

KL = 3x+24 = 10x+3

24 -3 = 10x-3x

21 = 7x

x= 21/7 = 3

KJ = 10x+3 = 30+3 = 33

Answer:

136 units²

Step-by-step explanation:

Because the prism is isosceles triangular then the top rectangle=7 X 5 as well.

The big rectangle's area = 7 X (5+6+5) = 112 units²

The area of the triangles = 2(base*hight/2) = base *height =6 X 4 =24 units²

Surface area = 112 +24 = 136 units ²

Answer:

136 units² give him brainliest he's right

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the number be 'x'

Quotient of a number and 4  = [tex]\frac{x}{4}[/tex]

Six less than the quotient of a number and 4 : [tex]\frac{x}{4}-6[/tex]

Equation:

[tex]\frac{x}{4} \ - \ 6 = 15[/tex]

Answer:

4

Step-by-step explanation:

In triangle ΔPQR, we have;

The incenter of the triangle = The point T = The point of the intersection of the angle bisectors

Therefore, the perpendicular distances from T to the sides of ΔPQR are the radius, r, of the inscribed circle of ΔPQR

∴ WT = UT = ST = r

From the figure, WT = 4

∴ WT = UT = ST = 4

ST = 4

Answer: 2

Step-by-step explanation:

I just got the answer correct it's two.

Answer:

C= 40

D= 75

Alternate interior angle

○●○●○●○●○

Hope it helps...

Have a great day!!!

Answer:

x=49.0

Step-by-step explanation:

Hi there!

In this right triangle, we're given an angle and the opposing side, and we're trying to solve for the length of the hypotenuse.

In this situation, we can use the sine ratio:

[tex]sin\theta=\frac{opp}{hyp}[/tex]

Plug in the known information

[tex]sin(28)=\frac{23}{x}\\x=\frac{23}{sin(28)}\\x=49.0[/tex]

Therefore, the length of the missing side is 49.0 units when rounded to the nearest tenth.

I hope this helps!

Answer:

3

Step-by-step explanation:

:3

the circumference is about 37.70

Answer:

Step-by-step explanation:

If we divide 24 by 6, we get 4, which is the other factor of 24 when given the one factor of 6. Same goes here. In order to find out what the other factor of [tex]y^2-10y+24=0[/tex] is when given one factor of y - 4, we simply divide the second degree polynomial by y - 4 to get the quotient. The quotient, then, is the other factor. Synthetic division is the easiest way to do this.

If y - 4 is the factor, then by the Zero Product Property, y - 4 = 0 and y = 4. Setting up synthetic division:

4|   1    -10     24

____________

The rule is to start by bringing down the first term, multiplying it by the number outside, then putting that product up under the next term in line:

4|   1     -10     24

             4          

     1

Then add the column, multiply the sum by the number outside, and put that product up under the next term in line:

4|    1     -10     24

               4    -24

      1      -6

And add the last column and that is the remainder. We get a 0 remainder. That means that y - 4 goes evenly into the polynomial and the other factor we are looking for is found in the numbers under the addition line. These numbers are the leading coefficients of the depressed polynomial, the polynomial that serves as the other factor: 1y - 6.

Therefore, the 2 factors that multiply together to give us [tex]y^2-10y+24=0[/tex] are (y - 4)(y - 6) and we can check ourselves by multiplying this out by FOILing to see if the result is the polynomial we started with. It is, so we're all done!

Answer:

its ( y-6 )

Step-by-step explanation:

well if you use the FOIL method you will get that answer. also i took the test and got a 100 so there u go.

Answer:  -3, -1, 2

So we have -3 go in the first box, -1 in the second, 2 in the third.

The order doesn't matter (so you can rearrange these values however you want).

===========================================================

Explanation:

Recall that a function cannot have any x input lead to multiple y outputs.

For example, if we had x = 0 lead to y = 3 and y = -1 at the same time, then we don't have a function.

In other words, we cannot have repeated x values. So all we have to do is cross off -2, 0, 1, and 3 from the list since they're already in the x row of the table. See the diagram below. This is to ensure that we don't repeat any x values.

The remaining three values -3, -1 and 2 can be placed in any order you want into the three empty boxes.

So we could have -3 go in the first box, -1 go in the second box, and 2 go in the last box. Or you could have -1 in the first box, -3 in the second, and 2 in the third. The order doesn't matter.

Answer:

S =  {PQ, QP, PR, RP, QR, RQ}

Step-by-step explanation:

We have 3 friends:

Patty (who we can represent with the letter P)

Quinlan (who we can represent with the letter Q)

Rashad (who we can represent with the letter R)

There are two positions, that can be represented as:

First-Second.

Where "first" refers to the student whose name is chosen first, this student will be the president.

"second" refers to the student whose name is chosen second, this student will be the vice president.

For example:

PQ

refers for the case where Patty is the president and Quinlan is the vice-president.

Notice that PQ is different than QP.

The sample space will be the set of all the possible combinations of the elements (P, Q, and R) of the form First-Second, which are just the permutations:

PQ, QP, PR, RP, QR, RQ

Then the sample space is:

S =  {PQ, QP, PR, RP, QR, RQ}

The correct option is the last one.

Answer:

D. S = {PQ, QP, PR, RP, QR, RQ}

Answer:

F. [tex] \sqrt{39} [/tex]

Step-by-step explanation:

By geometric mean theorem:

[tex] {x}^{2} = 13 \times 3 \\ {x}^{2} = 39 \\ x = \sqrt{39} [/tex]

The value of x from the similar side triangles is x = √39

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be ΔADC

Let the second triangle be ΔADB

Now , the side AD is the common side

The measure of ∠ADC = measure of ∠ADB = 90°

So , the triangles ΔADC and ΔADB are similar triangles

Now , corresponding sides of similar triangles are in the same ratio

So , AD / DC = BC / AD

x / 13 = 3 / x

Multiply by x on both side , we get

x² = 39

Taking square roots on both sides , we get

x = √39

Therefore , the value of x is √39

Hence , the similar triangles are solved

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Reflectional symmetry is the quality a design has if it maintains all characteristics when it is reflected across a line or plane. It does not involve translation, rotation about an axis, or rotation about a point.

Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.

Given data ,

If a design has reflectional symmetry, it looks the same when it is reflected across a line or plane. This type of symmetry is also known as mirror symmetry or bilateral symmetry.

For example, the letter "A" has reflectional symmetry because it looks the same when it is reflected across a vertical line. Similarly, a square has reflectional symmetry because it looks the same when it is reflected across both its vertical and horizontal axes.

Hence , Reflectional symmetry is the quality a design has if it maintains all characteristics when it is reflected across a line or plane.

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Answer:the 2nd row, x=0, f(x)=2

Step-by-step explanation:

When x=0, the line touches the y-axis because the f(x) has a value. therefore when x=0, y=2

you'll understand better if you sketch it out

Answer:

3

it is asking for the slope of the line

(0,0) , (1,3)

3-0/1-0 = 3/1 = 3

Step-by-step explanation:

=============================================================

Explanation:

10% in decimal form is 0.10

25% in decimal form is 0.25

The jump from 0.10 to 0.25 is "times 2.5" since (0.25)/(0.10) = 2.5

This means that we have 2.5 times as many apples compared to oranges.

If we have 2 oranges, as mentioned in every answer choice, then we must have 2*2.5 = 5 apples.

Based on this, the answer is either A or B.

----------------

65% turns into 0.65

The jump from 0.10 to 0.65 is 6.5 since (0.65)/(0.10) = 6.5

So we have 6.5 times as many pears as oranges.

If we had 2 oranges, then we have 2*6.5 = 13 pears

----------------

To summarize, we have:

2 oranges, 5 apples, 13 pears.

The answer is therefore choice A

Answer:

d

Step-by-step explanation:

The box plot with the five number summary is represented in plot A. Therefore, option A is the correct answer.

A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median.

The given data in order is 15, 16, 17, 22, 24, 25, 28, 32, 38, 40.

Here, minimum = 15

Maximum = 40

First quartile = 17

Third quartile = 32

Median = (24+25)/2 = 24.5

Therefore, option A is the correct answer.

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