lines m and n are parallel. what is the measure of angle 4?
a) 25 degrees
b) 55 degrees
c) 115 degrees
d) 145 degrees

9514 1404 393

Answer:

Step-by-step explanation:

Opposite sides of a parallelogram have the same length, so ...

  5b +5c = 60

  5b +4c = 55

Subtracting the second equation from the first, we get ...

  c = 5

Substituting that into the first equation, we have ...

  5b +5·5 = 60

  5b = 35 . . . . . . . subtract 25

  b = 7 . . . . . . . . . . divide by 5

The values b = 7 and c = 5 will make this a parallelogram.

Exponential Function.

[tex]y = {a}^{x} \: \: (a > 0) \: \: (a≠1)[/tex]

Also the shown graph is a decreasing graph.

[tex]y = {a}^{x} \: \: (0 < a < 1)[/tex]

The equation above is the equation of the graph that is shown in the picture.

Answer: FALSE

Step-by-step explanation:

Answer:

Salary after 10 years: 73000

Salary after t years: 1500t+58000

Step-by-step explanation:

Answer: 13

Step-by-step explanation:

13 times 13 is 169!

Good luck!

Answer:

4

Step-by-step explanation:

z = [tex]\frac{6}{15}[/tex] × 10

  = 4

Answer:

Multiply by 5

Step-by-step explanation:

Answer:

The range is: 7

Step-by-step explanation:

Given the data set

6, 7, 13, 10

Sorting in ascending order

6, 7, 10, 13

We know that the range is the difference between the highest and lowest values in a set of numbers.

Here:

Thus,

Range = Highest Value - Lowest Value

           = 13 - 6

           = 7

Therefore, the range is: 7

Answer:

1

Step-by-step explanation:

First, Distribute

Then, add 3 to both sides

Then, Divide 15 from both sides

1=Z

Answer: a. The sales price $568.40

b.the price for the club members is $511.56

Step-by-step explanation: I have no idea I got it wrong on porpoise to get the correct answer for u

Answer:

2.8 In is the answer to the question

Step-by-step explanation:

Nw+WD=ND

Answer:

6

Step-by-step explanation:

Answer:

6 is answer

Step-by-step explanation:

Answer:

4 X 3 = 12 , 12 X 2 = 24

5 X 4 = 20, 20 X 2 = 40

3 X 5 = 15, 15 X 2 = 30

30 + 40 + 24 = 94 cm squared

Answer:use math(way

Step-by-step explanation

It help

Answer: 2 miles per hour

Step-by-step explanation: Reduce the common factor which would be 5 and then you divide and you get 2

The solution is 4 : 5

The ratio of the fraction is 4 : 5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first number be A

Now , the value of A is = 16 cm

Let the second number be = B

The value of B is = 20 cm

The ratio of A and B is calculated as C

where C = A / B

A goes to the numerator of the fraction and B to the denominator

Substituting the values in the equation , we get

C = A/B

C = 16/20

On simplifying the equation , we get

C = 4/5

Therefore , the value of C is 4 : 5

Hence , the value of equation is 4 : 5

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Answer:

y=0x - 4

Step-by-step explanation:

perpendicular to the y-axis means parallel to the x-axis.

that would be a horizontal line and they have no slope. so m=0

(0, -4) is the y-intercept since the y intercept is when x is zero.

b=-4

y=mx+b

y=0x - 4

Answer:

14

when you divide a whole number and its in the 100's, take away the last number and thats your answer for example,

320 divided by 10 equals 32, anyways have a nice day.

Step-by-step explanation:

Answer:

If you plot the points you can easily find the answer. (X,Y) The x-axis is the horizontal line and the y-axis is the vertical line.

Step-by-step explanation:

Mark me as brainlist

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

If you subsitute for x, x will only repeat if it has the same y value.

Yes, The given relation is a function.

Here,

The relation is given as; Y = 3x

We have to find the given relation is a function or not.

What is Function?

A relation is said to be function if there is exactly one value for each value of y.

Now,

The given relation is,

Y = 3x

When, we put x = 1 then y = 3

And, when x = 2 then y = 6 and so on.

Clearly, there is exactly one value of x for value of y.

So, The given relation is a function.

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Answer:

The ratio of 6th grade students who play soccer to students who play basketball is 4:3. If there are 56 6th graders, how many play basketball?

Step-by-step explanation:

can you please help me

Answer:

B

Step-by-step explanation:

The rate at Randy's store is 1 gallon of gas for $3

The rate at Sarah's store is 1 gallon of gas for $2.80

So, Randy's store is more expensive.

Answer:

A = 240π cm²

Step-by-step explanation:

Given that,

Height of a cylinder, h = 7 cm

Volume of the cylinder, V = 448π cm³

We need to find the total surface area of the cylinder.

The formula for the volume of the cylinder is given by :

[tex]V=\pi r^2 h\\\\r=\sqrt{\dfrac{V\pi }{\pi h}} \\\\r=\sqrt{\dfrac{448\pi }{\pi \times 7}} \\\\r=8\ cm[/tex]

The formula for the total surface area of the cylinder is given by :

[tex]A=2\pi r(r+h)\\\\A=2\pi \times 8\times (8+7)\\\\A=240\pi \ cm^2[/tex]

So, the total surface area of the cylinder is 240π cm².

Answer:

x=4

y=6

Step-by-step explanation:

We need to find value of x and y if RS bisects AB and RS = 28

We are given: RS = 28

and We can see from figure that: RT= 3y-7 and TS = 2y+5

And we can observe that RT + TS = 36

So, putting all the values, we can find value of y

[tex]3y-7+2y+5=28[/tex]

Solving this equation, will find value of y

[tex]3y+2y+5-7=28\\5y-2=28\\5y=28+2\\5y=30\\y=\frac{30}{5}\\y=6[/tex]

So, we get value of y: y=6

Now, we also know that RS bisects the line AB. It means it divides both the lines equally.

So, we can write: AT = TB

Putting values we can find value of x

We have AT = 4x-2

TB = 4y+2

and y =6

[tex]4x-2 = 4y+2\\4x-2=4(6)+2\\4x-2=12+2\\4x=14+2\\4x=16\\x=\frac{16}{4}\\x=4[/tex]

So, we get value of x: x=4

Answer:

C

Step-by-step explanation:

The blue line is the one that that slants from lower right to upper left. It has a negative slope as in - 1/2. The line is solid so that means the values of the line are included in the expression.

The area covered is purple, so y is less than the y values of the line. C is the only value that shows the paragraph above.

But we have to check the other inequality just to make sure you are right.        y >  2/3 x - 4. The line is not included, so C is your answer.

Answer:

Step-by-step explanation:

area = L x W

where L = 9x⁸

          W = 6x⁵

plugin values into the formula:

Area = 9x⁸ * 6x⁵

        = 54x¹³

The area of the rectangle as an expression of x is [tex]2160x^3[/tex] square feet.

To find the area of the rectangle, we can use the formula for the area of a rectangle, which is:

Area = length × width

Given that the width is 6x5 feet and the length is 9x8 feet, the area of the rectangle is:

Area = (9x8) × (6x5)

To simplify the expression, multiply the coefficients and combine the variables:

[tex]Area = 54x^2 * 40x[/tex]

Now, multiply the coefficients:

[tex]Area = 2160x^3[/tex]

So, the area of the rectangle as an expression of x is [tex]2160x^3[/tex] square feet.

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