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Step-by-step explanation:

a)

a whole circle represents always 360 degrees.

we see the angle J is 72 degrees. the angle K is 90 degrees.

that leaves us for M and L together :

360 - 72 - 90 = 198 degrees.

we now know that twice as many people voted for L as for M. that means the angle L is twice as big as the angle M

on other words : L = 2M

and when we now say

198 = L + M

this means

198 = 2M + M = 3M

M = 66 degrees

and L is then 2M = 2×66 = 132 degrees

b)

again, the whole circle is 360 degrees.

J covers 72 of these 360 degrees.

that is 72/360 of all voting people.

72/360 = 1/5

the total of all voting people was 15840.

so, 1/5 of 15840 is

15840/5 = 3168

that means 3168 people voted for J.

Answer:

4(x + 1/4) ≤ 9 + 2x

Step-by-step explanation:

Answer:

4 classes

Step-by-step explanation:

1. Write an equation for the cost for both members and nonmembers, in which x is the number of aerobics classes.

Cost = 3x + 6 for members

Cost = 4x for nonmembers

2. Set the equations to equal each other and solve.

3x + 6 = 4x

-3x         -3x

6 = x

3. Check your answer

4*6 = 24

(3*6) + 6 = 24

For 4 aerobics classes, the cost for members and nonmembers is the same.

Answer:

D 1.29x+1.35y≤12

Step-by-step explanation:

Nick is making a fruit salad. He buys apples for $1.29 per pound and oranges for $1.35 per pound. He spends no more than $12.

Let x represent the number of pounds of apples that Nick buys. Let y represent the number of pounds of oranges that Nick buys.

1.29x+1.35y≥121.29x+1.35y≥12

1.29x+1.35y>121.29x+1.35y>12

1.29x+1.35y<121.29x+1.35y<12

1.29x+1.35y≤12

Answer:

Look when angle 3= angle B

It would make AD parallel to BC

Step-by-step explanation:

So go with

AD//BC

#BeBrainly

Answer:

5 inches of wire costs 25 cents.

Step-by-step explanation:

To answer this question, we want to find the unit price per inch of wire. Therefore, we need to divide the cost of the 11 inches (55) by the length of the wire (11):

55 / 11 = 5

So, 1 inch of wire costs 5 cents.

Now, to see how many inches can be bought with 25 cents, multiply 5 times both the 1 inch and 5 cents, which are the unit price to get:

5 inches of wire costs 25 cents.

Hope this helps :)

Answer:

4

Step-by-step explanation:

7x8=56 wich is the highest number it can go to

so 8/2=4

The modal represent the division is 6 ÷ 6/9 = 9.

One of the most fundamental operations in arithmetic is division, in which a larger number is divided into smaller groups with the same number of items. Dividing a large group into smaller groups so that each group has the same number of items is called division. In math, it is an operation that equalizes sharing and grouping.

Given the number line in figure,

shows the number is divided in 9 equal parts

1/9, 2/9, 3/9, ..........9/9

and from 0 to 6/9 parts are marked,

there are 6 parts in 0 to 6/9

the division model for equation is

6 ÷ 6/9

and division is 6 ÷ 6/9 = 9

Hence the division sentence is represented by the model is 6 ÷ 6/9 = 9.

Learn more about division;

https://brainly.com/question/2273245

#SPJ5

The question is incomplete, complete question is attested in image

Answer:

11

Step-by-step explanation:

y=3 × 5 -4

=15-4

11

this is your answer

Step-by-step explanation:

yyuejekkgebbehekkejwjuehhehjeklwmsb

bdbjejejejjej

Answer:

The height of Roger is 158cm

Step-by-step explanation:

All of them=158cm

They are 4.So,158^4=632cm

Height of 3 persons=155cm+158cm+161cm=474cm

Therefore the height of Roger is 632cm-474cm=158cm

The height of Roger with the mean of all of them is given is 158 cm.

Given that, the heights of Karina, Miya and Clint were 155cm, 158cm, and 161cm respectively.

In statistics, the mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations).

Let the height of Roger be R.

Mean= 158 cm

We know that, mean =Sum of all the observations/Number of observations

⇒ (155+158+161+R)/4 =158

⇒ 474+R=632

⇒ R=632-474

⇒ R=158 cm

Hence, the height of Roger with the mean of all of them is given is 158 cm.

To learn more about an arithmetic mean visit:

https://brainly.com/question/15196910.

#SPJ2

A variable is a letter, for example x, y or z, that represents an unspecified number.

6+x=12

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12.

If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.Step-by-step explanation:

Answer:

=3000/53

Step-by-step explanation:

Answer:

The equation of this line is y=8x-3, I hope this helps you! :D

Answer:

y = 8x - 3

Step-by-step explanation:

The point (0, -3) is the y-intercept. You can take this and calculate the slope using the other point. Then you can form the formula y = mx+b.

Answer:

70°, 140°, 50°

Step-by-step explanation:

110° and the angle inside the triangle are adjacent angles and sum to 180°, so

angle inside triangle = 180° - 110° = 70°

The triangle on the left is isosceles ( 2 congruent sides ) then base angles are congruent

∠ 1 = angle inside triangle = 70°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ 2 is an exterior angle of the triangle on the left, so

∠ 2 = 70° + 70° = 140°

∠ 2 is also an exterior angle of the triangle on the right, so

∠ 3 + 90° = 140° ( subtract 90° from both sides )

∠ 3 = 50°

Answer:

the circumference of circle is 2 πr

Answer: I think its $58.4

Answer:

First we need to solve the linear equation for y because we need to get the slope. Once we have the slope we need to convert it to its negative reciprocal, this means to just change the sign of the slope and flip it. The negative reciprocal is always perpendicular to the original slope.

2y = - 6x + 8

y = (-6x/2) + 8/2

y = - 3x + 4

The current slope is -3 or -3/1

The negative reciprocal is 1/3

Answer:

SEARCH MO PARA MALAMAN MO HEHE

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

Work Shown:

[tex]c^2 = a^2 + b^2 - 2*a*b*\cos(C)\\\\10^2 = 5^2 + 6^2 - 2*5*6*\cos(x)\\\\100 = 25 + 36 - 60*\cos(x)\\\\100 = 61 - 60*\cos(x)\\\\100 - 61 = - 60*\cos(x)\\\\39 = - 60*\cos(x)\\\\\cos(x) = \frac{39}{-60}\\\\\cos(x) = -0.65\\\\x = \arccos(-0.65)\\\\x \approx 130.5416\\\\x \approx 130.5\\\\[/tex]

Note: I used the law of cosines. Make sure your calculator is in degree mode.

Answer:

35

Step-by-step explanation:

if you multiply all of the numbers in the first boxes by five, those numbers would be correct. So if you multiply 7 by 5, your answer would be 35

Answer:

430

Step-by-step explanation:

761-331=430

Answer:

the answer would be 430 because you subtract 761-331=430

Answer:

19 = x

Step-by-step explanation:

1=x-18

Add 18 to each side

1+18=x-18+18

19 = x

Answer:

$20

Step-by-step explanation:

12.6x-2.1x=210

10.5x=210

x=210/10.5

x=20

Answer:

B

Step-by-step explanation:

it is honestly based on storys and movies so zesu is one of them its the same thing for harry potter too

Answer: B. His new supervisor wanted Zeus-like authority over everyone

Step-by-step explanation: I took the quiz and got it right  

Answer:

x = 27°

Step-by-step explanation:

Given the lines are parallel you have a pair of same-side interior angles and these angles = 180°

x + 72 + 3x = 180

4x + 72 = 180

4x = 108

x  = 108/4

x = 27°

The value of x will be 27 degree

Given the lines are parallel you have a pair of same-side interior angles and these angles = 180°

x + 72 + 3x = 180

4x + 72 = 180

4x = 108

x  = 108/4

x = 27°

The value of x will be 27 degree

To learn more about the angles of parallel lines refer to:

https://brainly.com/question/24607467

Answer:

Step-by-step explanation:

Given is the absolute value function.

Observations:

We need to find the coordinates of intersection of the line P₁P₂ with the y- axis (the point Y in the picture).

Consider the triangle AYP₂.

We know AP₂ = 5.

The angle YAP₂ is:

The distance AY is:

The distance from the x-axis to the point Y is:

The coordinates of the point Y: