Given: p || q, and r || s.

Linear pair theorem that is angle 1 is supplementary to angle 2 moves down to angle 2 equals angle 6. As for parallel lines cut by a transversal, corresponding angles are congruent. This moves down to blank box with question mark.

Prove: ∠1 and ∠14 are supplementary angles.

Two vertical parallel lines p and q runs through two horizontal parallel lines r and s to form 16 angles numbered from 1 to 16.

What is the next step in the proof? Choose the most logical approach.

Answer:

6

Step-by-step explanation:

I use the information I from my Nathan teacher

Answer:

it’s b

Step-by-step explanation:

the answer is 2x3x3x5, but it’s the same thing when you put an exponent of two on a 3.

Hope it helps

Sry if I’m wrong

Answer:

white chocolates = 3

milk chocolates = 8

ratio= 3:8

[tex] \frac{3}{8} [/tex]

0.375

Answer:

22 8th graders

Step-by-step explanation:

if 25% of the 88 kids are 8th graders then do this.

88x.25=22

88x.75=66

there are 22 eighth graders

and 66 seventh graders.

Answer:

[tex]\pi[/tex]= 3.1415926...= c/d

Step-by-step explanation

Pie is infinite so there is no simple answer.

circumference divided by the diameter = pie

For the system of equations, we need to plot a straight line passing through the intercepts.

Inequalities are equations separated by an equal sign. Given the following system of inequality

3y >2x + 12

2x + y ≤ -5

For the system of equations, we need to plot a straight line passing through the intercepts.

For the inequality 3y >2x + 12, the upper part of the graph will be shaded and the line dashed.

For the inequality 3y >2x + 12, the lower part of the graph will be shaded and the line solid.

The graph of the system of equations is graphed below

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Answer:

[tex]n=-12[/tex]

Step-by-step explanation:

[tex]\text{When}~ n = -12,\\\\~~~~~-2(6x+2) = -12x-4\\\\\implies -12x -4 = -12x -4 \\\\\text{Since both sides are equal for all values of x, there are infinitely many solutions.}[/tex]

Step-by-step explanation:

I think angle A = 21 degree

because in the question there is angle A Is twice means angle a + angle a= 4G degree

2 angle a=42 degree

42 divides by 2

answer is 21 degree

Answer:

It's the third one hun :>

Answer:

yup third one

Step-by-step explanation:

parabolas are ALWAYS a U shape ;-)

The quotient of 21.49 ÷ 3.76 using compatible numbers is approximately 5.69

Quotients are result derived from the ratio of two rational or integers. Given the expression

21.49 ÷ 3.76

Convert to fraction

21.49 ÷ 3.76 = 2140/100  ÷  376/100
21.49 ÷ 3.76 = 2140/376

21.49 ÷ 3.76 =  5.69

Hence the quotient of 21.49 ÷ 3.76 using compatible numbers is approximately 5.69

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Answer:

you probably moved on, but for everyone else:

y= 5/2x + 30

Step-by-step explanation:

Answer:

In the first step, there is an issue when distributing the -3 to the terms inside of the parentheses. When multiplying the -3 to the -5, you would get an answer of +15, not -15.

The full correct process is:

(4m + 9) - 3(2m - 5) = 4m + 9 - 6m + 15

                                = 4m - 6m + 9 + 15

                                = -2m + 24

Answer:

Slope-intercept form of a linear equation:  [tex]y=mx+b[/tex]

where:

To determine the equation of the line of best fit from the given answer options, examine the relationship between the x and y values.

From inspection of the data, we can see that as x increases, y increases.  Therefore, the slope of the equation will be positive.

(If the y-values decrease as the x-values increase, then the slope would be negative).  

Therefore, we can immediately discount answer options B and D as they have negative slopes.

The x and y values are not very far away from each other.  The options given for the slope are either 1.560 or 4.105.  If the slope was 4.105, we would expect to see values of y that were further away from the x-values.

Therefore, the line of best fit is:

A:  y = 1.560x - 4.105

To prove this, plot the 5 points on a graph and draw a line of best fit (see attached).

Choose 2 points on the line of best fit:  (4, 2) and (11, 13)

Use the slope formula with these points to calculate the approximate slope:

[tex]\implies \sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}\approx\dfrac{13-2}{11-4}=\dfrac{11}{7}=1.57[/tex]

Thus proving that y = 1.560x - 4.105 is an appropriate option for the equation of the line of best fit.

Answer:

(4,5)

Step-by-step explanation:

Hello!

If you move 5 units to the left, you change the x-value in (x, y) by -5.

Let the original x-value be x:

The original x-value is 4. Since you didn't change the y-value (up/down), you can keep the same y-value for the coordinate.

The original point was at (4,5)

Answer:

You started at (4, 5)

Step-by-step explanation:

The first number of coordinate pair is x. you started at the right and THEN moved the the left, as stated in the question. So -1 + 5 is 4.
So you started at (4, 5)

Answer:

a) 150

b) 2650

Step-by-step explanation:

6% of 2500 is 150

150 + 2500 = 2650

An expression is defined as a set of numbers, variables, and mathematical operations. The expression that represents losing more than 500 points is x<-500.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given In a computer game positive numbers represent earning points and negative numbers represent losing points. Therefore, the loss of more than 500 points is given by the inequality,

x< -500

Hence, the expression that represents losing more than 500 points is x<-500.

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The cuboid can hold 27.2 cubic inches of popcorn

A right rectangular prism is also called the cuboid. it is a solid three dimensional shape with 6 faces, 12 edges and 8 vertices.

Analysis:

Volume of cuboid = length x width x height

                              = 5 x 3 x 29/4 = 108.75 cubic inches

When it is quarter full, volume = 1/4 x 108.75 = 27.2 cubic inches

In conclusion, the volume of the cuboid is 27.2 cubic inches.

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Answer:

75 percent

Step-by-step explanation:

To find percent increase, do (final-initial/initial) * 100.

This would be 133-76/76 * 100, meaning you get a 75 percent increase.

The percent increase is 75 %.

The ratio of the increased value to the original value, multiplied by 100, is the percentage increase formula. It is outlined as a percentage. Anything's value will increase if it is valued more, so will its proportion.

Given:

Sonya's heart rate was 76 beats per minute.

After running, heart beat rate= 133  beats per minute.

So, percent increase

= (133- 76)/ 76 x 100

= 0.75 x 100

= 75%

Hence, the percent increase is 75 %.

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Answer:

6000.

Step-by-step explanation:

Hundreds digit is 6 so we round up the thousand digit (5) to get 6000.

Answer:

49,64

Step-by-step explanation:

Every time the number changes there is an addition of two. for instance, from 4 to 9 the was an addition of 5 and from 9 to 16 there was an addition of 7. Thats how it works

The value of z if x = 36 and y = 6 is 42

Suppose that y varies directly with x and inversely with z, hence the required expression will be:

y = kx/z

If  y = 4 when x = 8 and z = 14 then;

4 = k(8)/14

8k = 56

k = 7

To  find z when x = 36 and y = 6, we  will have:

6 = 7(36)/z
1 = 7(6)/z

z = 42

Hence the value of z if x = 36 and y = 6 is 42

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Answer:

Keep it simple. Answer:

y=kx/z

  k=7

 z=42

Step-by-step explanation:

Answer:

$ 65.59 more per week

Step-by-step explanation:

Assuming she worked 52 weeks a year as a clerk :

30534     -     52 * 521.6  =  $ 3410.80 more per year

   now   each WEEK that is  3410.80 / 52 = 65.59

Answer:

[tex]y = \frac{2}{3}x -6[/tex]

Step-by-step explanation:

I'm just gonna assume you want the equation of the line

Standard slope-intercept form is [tex]y=mx+b[/tex] with [tex]m[/tex] being the slope [tex]\frac{rise}{run}[/tex] (aka [tex]\frac{y_1 - y_2}{x_1 - x_2}[/tex]) and [tex]b[/tex] being the y-intercept (the point where the line crosses the y-axis)

First we will find the slope using the 2 points on the line.

[tex]\frac{-2 - (-4)}{6-3} = \frac{2}{3}[/tex]

This means our slope ([tex]m[/tex]) is [tex]\frac{2}{3}[/tex].

Next we can find our y-intercept. The line crosses the y-axis at [tex](0, -6)[/tex] meaning the y-intercept ([tex]b[/tex]) is -6.

Finally we can plug in our values and find the equation of the line.

[tex]y = \frac{2}{3}x -6[/tex]

That might be the answer (i don't know the question)

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