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Challenge: Find the value of x. Then find the measures of the four angles.

Lines G H and N S intersect at point P, forming 4 angles. Angle G P N is labeled (5 plus 8 x) degrees. Angle S P H is labeled (7 x plus 10) degrees.

​(The figure is not to​ scale.)

The value of x is 5.

Find the measures of the four angles.

Hi there!

[tex]\large\boxed{x = 16}[/tex]

.5x + 3 = 11

To begin, we can subtract 3 from both sides:

.5x + 3 - 3 = 11 - 3

.5x = 8

To cancel out the .5, we must multiply both sides by 2: (.5 × 2  = 1)

2(.5x) = 2(8)

x = 16.

Your answer is B. 205.

Because when you subtract 270 - 100 it equals 170 then you add 170 + 125 which equals 295 then you subtract 500 - 295 it equals 205 which is your answer!

Answer:

b

Step-by-step explanation:

Answer:

Yes, there is enough paint to cover the table top.

Step-by-step explanation:

We are told in the above question that the table top is round = circular

The area of a circle = πr²

Diameter = 6 feet

Radius = Diameter/2 = 6 feet/2 = 3 feet

Area of the table top= π × 3²

= 28.27 square feet

We are told that the a sample jar will cover 30 square feet.

Therefore, yes, there is enough paint to cover the table top.

Answer:

Angle 1 and Angle 2 are adjacent angles.

Answer:

=−2

=−9

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The required focus of the parabola (x - 1)^2 = 12(y + 2) is (1, 1). Option D is correct.

Given that, equation of the parabola,

A parabola is cross-section cut out of the cone and represented by an equation [tex]y = 4ax^2[/tex]. Where a is focus.

Here,
[tex](x - 1)^2 = 12(y + 2)[/tex]
Simplify the above parabola equation to stand equation
[tex]y = \frac{1}{4(f-k)} (x-h)^2 + k[/tex]
[tex]y =\frac{1}{4(1-(-2))} (x - 1)^2 - 2[/tex]
Now comparing above the equation,
vertex of a parabola,
h = 1 and k = -2

And focus
So the coordinate of the focus of the parabola = (h, f)
= (1, 1)      

Thus, the required focus of the parabola (x - 1)^2 = 12(y + 2) is (1, 1). Option D is correct.

Learn more about parabola here:

brainly.com/question/4074088

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Answer:

D) The product of two rational numbers is rational.

Answer:

B

Step-by-step explanation:

You just need to multiply the first number by every number in the parantesis Take care bby :)))

Answer:

B

Step-by-step explanation:

B: 3x2x= 6x

   3x6y= 18y

   3x12=36

If there's more I apologize but that is all that I could find.

Answer:

115 degrees

Step-by-step explanation:

The line RQ meets at 115 degrees (Look at the bottom numbers)

It's not 65 degrees because the angle is obtuse.

Answer:

A

Step-by-step explanation:

Answer: 5 gallons

Step-by-step explanation: the gallons are in decimal points. 1/2 + 1/2 + 2 + 1 = 5. the .05 and 1/2 are the same thing. the .5 + .5 equals 1

Answer:

3

Step-by-step explanation:

3x=1 term

+2y= 2 term

-5= 3 term

Answer:

there are 3 terms in this equation

Step-by-step explanation:

3x --- this is the 1st term

2y --- this is the 2nd term

5 --- this is the 3rd term

(brainliest plz)

Answer:

1.What is the y intercept of the function?

y-coordinate when x = 0, take from the table.

2.What is the first difference?

Difference of y-values. This is the slope

3.Write an equation to represent the function given in the table

Use the first difference and the y-intercept: b = 5, m = 2

Answer:

4.28%

Step-by-step explanation:

1285 - 1230=55

(55/1285) ×100%=4.28%

Answer:

2.25$

Step-by-step explanation:

The cost of each cupcake the food court mall sells is $2.28.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Desiree works at a dessert counter in the food court of a mall. The dessert counter sells cupcakes and cookies.

Each cookie costs $1.25 and assuming the cost of the cupcake is x.

∴ (1.25×12) + (8x) = 33.30.

15 + 8x = 33.30.

8x = 18.3

x = 2.28

learn more about numerical expressions here :

https://brainly.com/question/29199574

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Answer:

2, 4, 8, 16, 32

Step-by-step explanation:

Answer: 17223

Step-by-step explanation:

You have to multiply your

Step-by-step explanation:

456×43-53(45)=

19608-53(45)

19608-2385

17223 Answer

Answer:

x = 10

x = -7

x = -8

x = 60

x = 44

Step-by-step explanation:

Pls mark me brainliest

Answer:

The butcher made $101.50

Step-by-step explanation:

2 for 7.00

1 steak would be 7.00 divided by 2

7 divided by 2 is 3.5

1 steak is 3.50 dollars

29 steaks in total

29 multiplied by 3.50 is 101.5

Answer:

[tex]K=6[/tex]

Step-by-step explanation:

In f(x) graph the vertex is at x=4

In g(x) the vertex at x=-2

so, the graph is shifted 6 units left. when the graph is shifted k units left then f(x) becomes f(x+k)

here the  graph is 6 units left so.. K= 6

[tex]-----------[/tex]

hope it helps...

have a great day!!

Answer:

7/1

Step-by-step explanation:

There are 7 players if the coach randomly draws a name that determines who stays on the bench there is a 1/7 chance Brianna will stay on the bench because there are 7 people and Brianna is 1  of them

Answer: B

Step-by-step explanation: C and D are not correct because if you add up the x's, they will not be equal. A is only true for the first graph, and nit the second, so it won't be A. B is the best answer.

Answer:

9x-18=90 9x=108 x=12,,,,,,,,,,,,,,,,

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the types of injuries and the frequency of each injury are not given.

A general way to solve a question like this, is as follows;

First: Calculate the total frequency.

Assume the given dataset is:

[tex]\begin{array}{cc}{Injury} & {Frequency} & {Dislocation} & {20} & {Strain} & {5} & {Broken\ Bone} & {10} & {Bruise} & {15} \ \end{array}[/tex]

The total frequency is:

[tex]Total =20 + 5 + 10 + 15[/tex]

[tex]Total =50[/tex]

Next, write out the frequency of broken bone injuries

[tex]Broken\ Bone = 10[/tex]

Calculate the probability by dividing the number of broken bone by the total frequency

[tex]Pr= \frac{10}{50}[/tex]

[tex]Pr = 0.20[/tex]

Answer:

chord

Step-by-step explanation:

A chord of a circle is a straight line segment whose endpoints both lie on a circular arc

Answer:

83

Step-by-step explanation:

100-80 ÷ 4 + (6-3)=100-20+3=80+3=83

Answer:

83

Step-by-step explanation:

100-80 ÷ 4 + (6-3)

100-80/4 +  3

100- 20 + 3

 80 + 3

    83