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Answer:

[tex]3x - 4 + 7x + 4 = 180 \\ 3x + 7x = 180 \\ 10x = 180 \\ \frac{10x}{10} = \frac{180}{10} \\ x = 18 \: \: degrees[/tex]

Answer:

x=18

Step-by-step explanation:

The 2 angles are on a straight line, and are therefore supplementary. This means that they add to 180 degrees.

So,

3x-4+7x+4=180

First, combine like terms

(3x+7x)+(-4+4)=180

10x+0=180

10x=180

Now, we need to solve for x. To do this, we must get x by itself. Since x and 10 are being multiplied, divide both sides by 10. We divide because division is the opposite of multiplication.

10x/10=180/10

The 10s on the left cancel, so we are left with:

x=180/10

x=18

Answer:

x = 12.5 yd

Step-by-step explanation:

To find the value of x, use the equation below

cos 37 = [tex]\frac{10}{x}[/tex]

0.80 = [tex]\frac{10}{x}[/tex]            Take 10 divided by 0.80 to find x

x = 12.5

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Answer:

36 cm

Step-by-step explanation:

A = b1 + b2 x h / 1/2

A = 12 + 6 x 4 / 1/2

Answer:

The probability of rolling a number less than 3 (so, 1 or 2) is 2 out of 6, or 1/3. The odds are 4 to 2 against, or 2 to 1 against.

Step-by-step explanation:

If so, there are two numbers less than 3: 1 and 2. There are 6 total possible results, so the probability of rolling a number less than 3 is 26 or 13 or 0.3333

Answer:

A≈65.97m²

Step-by-step explanation:

A=πrl+πr2=π·3·4+π·32≈65.97345m

Answer:

The equation log x = 100 is another way of writing 10x = 100.

Step-by-step explanation:

This makes it possible to take away logarithms from an equation. If the equation contains more than one logarithm, they must have the same base for this to work.

Answer: 6

Step-by-step explanation: Let n represent the number of twelfths in 5/4. Expressed symbolically, this is n/12 = 2/4. The LCD is 12. Multiply numerator and denominator of 2/4 by 3, obtaining: n/12 = 6/12 then n = 6. There are 6 twelves in 2/4.  

There are 6 twelfths equal two fourths.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

We have to find twelfths equal two fourths

Let x represent the number of twelfths in 5/4.

So, the mathematical expression is

x/12 = 2/4.

Now, simplifying the fraction

x/ 12= 1/2

Now, multiply both side by 12

12 x/12 = 12/2

x= 6

Hence, there are 6 twelfths .

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Answer:

93            

the median is the middle of the data set

Step-by-step explanation:

Answer:

94.

Step-by-step explanation:

First, line the numbers up in order from least to greatest.

92, 93, 93, 94, 95, 95, 96.

Next, find the middlemost number.

Answer:  4

We're talking about the right part.  

OP = RQ - NM = 7 - 3 = 4

PQ = MR - NO = 3 - 2 = 1

Area(OPQ?) = 4×1 = 4

Answer: 4

The area of polygon MNOPQR = Area of a rectangle that is 9 square units + Area of a rectangle that is 4 square units.

The area of a rectangle is defined as the product of the length and width.

The area of a rectangle = L × W

Where W is the width of the rectangle and L is the length of the rectangle

A polygon is given in the question, as shown

The area of polygon MNOPQR = Area of a rectangle that is 9 square units + Area of a rectangle that is ___ square units.

We have to determine the fill-in-the-blank.

As per the given figure, we can see that

OP = RQ - NM = 7 - 3 = 4

PQ = MR - NO = 3 - 2 = 1

Required area of rectangle = 4 × 1 = 4

Hence, the required fill-in blank will be "4".

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Answer:

[tex]2+\sqrt{2}[/tex]

Step-by-step explanation:

[tex](3\sqrt{2} +4)(\sqrt{2} -1) = (3*2)+4\sqrt{2} -3\sqrt{2}-4[/tex]

[tex]= 6-4+\sqrt{2}[/tex]

[tex]= 2+\sqrt{2}[/tex]

Answer:

Step-by-step explanation:

Use FOIL method

(3√2 +  4)(√2 - 1) = 3√2*√2 - 3√2*1 + 4 *√2 - 4*1

                           =3*√(2*2) - 3√2 + 4√2 - 4

                           = 3*2 - 3√2 + 4√2 - 4

                           = 6 - 3√2 + 4√2 - 4  {add the like terms}

                          = 6 - 4 - 3√2 + 4√2

                          = 2 + √2

Answer:

Margin of Error = 1.0% to the nearest tenth of a percent.

Step-by-step explanation:

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value is obtained from the z-tables at the popular confidence level of 95% and z-tables is used because the sample size, 4530, is large enough to approximate the population properties.

Critical value = 1.960

Standard error = σₓ = √[p(1-p)/n]

p = 87% = 0.87

n = sample size = 4530

σₓ = √[0.87×0.13)/4530]

= 0.0049966876

Margin of Error = 1.96 × 0.0049966876 = 0.0097935078 = 0.00979 = 0.979% = 1.0% to the nearest tenth of a percent.

Hope this Helps!!!

Answer:

A score of -16 represents the lowest of points for these four turns.

The number for Aisha's highest score will be turn 2 on the number line.

That number is 10.  

Step-by-step explanation:

Since the options of the drop down menu are not included, you should choose any option similar to lowest.

Aisha's highest score was obtained in turn 2 and that is 10.

Aisha is comparing absolute terms, that is why she believes that -16 represents a good score, while in reality is the worst she got.

Answer:

20201

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

There are five inside the box and when you include the large rectangle that is the box, it's 6

Answer:

4

Step-by-step explanation:

40-36=4

Answer:

She won by 4 seconds.

Step-by-step explanation:

If Bailey ran the race in approximately 36 seconds and Elena ran it in approximately 40 seconds, Bailey would've completed the race 4 seconds faster than Elena.

Answer:

D

Step-by-step explanation:

D is the best choice. A excludes voters age 18-20 and 36+. B excludes everyone who doesn't own a business, and C excludes those who didn't vote for him. For the most honest results, D - everyone - is the best choice.

Step-by-step explanation:

the x-intercept of this function is (-1,0)

Answer:

a in this equation would be 3/4 because...

Step-by-step explanation:

2/3a−1/6=1/3

2/3a+−1/6=1/3

2/3a+−1/6+1/6=1/3+1/6

2/3a=1/2

Multiply both sides by 3/2.

(3/2)*(2/3a)=(3/2)*(1/2)

a=3/4

Hope this helps!

Answer:

{1, 2, 3, 4, 5}

Step-by-step explanation:

Sample space is the set of all possible outcomes. Supposing that the 5 sided number cube has numbers one to five on its sides, the possible outcomes are the numbers that can be rolled, then its sample space is: {1, 2, 3, 4, 5}

Answer:

Step-by-step explanation:

In the first case the function could become undefined as x approaches -3 or 3 from either direction.  The vertical asymptotes are x = -3 and x = +3.

In the second case, there's only one vertical asymptote, because the denominator can be zero (0) only at x = 0.

Answer:

(2, 3) x=2, y=3

Step-by-step explanation:

There are two ways to solve this: substitution & elimination:

Using substitution for this equation:

[tex]\left \{ {{3x+y=9} \atop {5x+4y=22}} \right.[/tex]

3x + y =9

y = 9-3x

Substitute for y:

5x + 4(9 - 3x) = 22

5x + 36 - 12x = 22

-7x = -14

x = 2

Solve for y:

3(2) + y = 9

6 + y = 9

y = 3

Step-by-step explanation:

The y-intercept will be (0, 1). From that point, go 4 units to the right and 1 unit down. That is your next point. Keep doing that and then connect the points to make a line. Hope this helps!

Answer:

10.(6) pouds

Step-by-step explanation:

8 pouds .......... 75%

x pouds ...........100%

x = 8×100/75 = 800/75 = 10.(6) pouds

Answer:

d = 13 cm

r = 6.5 cm

Step-by-step explanation:

The diameter is the distance from side to side going through the center

d = 13

The radius is 1/2 of the diameter

r = d/2 = 13/2 = 6.5 cm

Answer:

its d i just did it

Step-by-step explanation:

\

The graph is a linear and straight line so option (B) will be correct.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

In another word, a linear function is a function that varies linearly with respect to the changing variable.

Given graph is ;

y = 2x - 3

The slope of any function is given by;

dy/dx

So,

d(2x - 3)/dx = -2

Since the slope is constant that it will be a straight line and the straight line curve is a linear function because it has a degree of 1.

Hence "The graph is a linear and straight line".

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Given question is incorrect correct question is attached in form of the image below;

Steps:

Boys: 30+40+50+60+60+70+70+70+80+80+80+90+90+100 = 970

Girls: 10+20+50+50+60+70+70+80+80+80+90+100 = 760

THEN Divide the sum of boys and girls but how many numbers you added

970 ÷ 14 = 69.2

910 ÷ 12 = 63.3