Identify the measure of arc FE given the measure of arc FGC is 220∘.

Answer:

Given that 3/7 + (- 6/11) + (- 8/21) + (5/22)

Taking L.C.M. of the denominators 7, 11, 21 and 22 and then solving it.

L.C.M. of 7, 11, 21 and 22 = 2 x 3 x 7 x 11 = 462

= (462/7) x 3 – (462/11) x 6 – (462/21) x 8 + (462/22) x 5

= (198/462) – (252/462) – (176/462) + (105/462)

= (303/462) – (428/462)

= (-125/462)

Answer:

[tex]-\frac{125}{462}[/tex]

Step-by-step explanation:

[tex]\frac{3}{7} + ( - \frac{6}{11}) + ( -\frac{8}{21}) + \frac{5}{22}\\\\\frac{3}{7} - \frac{6}{11} -\frac{8}{21} + \frac{5}{22}\\\\(\frac{3}{7} -\frac{8}{21})+ (\frac{5}{22} - \frac{6}{11}) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\ arranging \ the \ terms \ for \ easy \ calculation \ ] \\\\(\frac{(3 \times 3) - 8}{21}) + \frac{5 - ( 6 \times 2)}{22}\\\\\frac{9-8}{21} + \frac{5-12}{22}\\\\\frac{1}{21} + \frac{-7}{22}\\\\\frac{1}{21} - \frac{7}{22}\\\\\frac{(1 \times 22) - ( 7 \times 21)}{21 \times22}\\\\[/tex]

[tex]\frac{22-147}{462}\\\\-\frac{125}{462}[/tex]

Answer:

The coefficient is 3, the number right before the variable.

Answer:

3

Step-by-step explanation:

Answer:

Your answer would be the third one

Step-by-step explanation:

Triangle 1 - 73, 45

Triangle 2 - 47, 30

Triangle 1: 105°, 23° and Triangle 2: 52°, 105 are similar.

Option (4) is correct.

A triangle in geometry is a three-sided polygon with three edges and three vertices.

As per the given data:

We are given two angles for each pair of triangles, and we have to find out which of the pair of triangles are similar.

For any two triangles to be similar, it must have 2 angles which are having the same measure.

For, Triangle 1: 55°, 45° and Triangle 2: 55°, 80°

Only one angle is same, hence not similar.

Triangle 1: 103°, 32° and Triangle 2: 103°, 25°

Only one angle is same, hence not similar.

Triangle 1: 73°, 47° and Triangle 2: 47°, 30°

Only one angle is same, hence not similar.

Triangle 1: 105°, 23° and Triangle 2: 52°, 105

By using angle sum property in Triangle 1 the remaining angles is:

= 180 - (105 + 23) = 52°

By using angle sum property in Triangle 2 the remaining angles is:

= 180 - (52 + 105) = 23°

2 angles are same, hence similar.

Triangle 1: 99, 41° and Triangle 2: 40°, 99°

Only one angle is same, hence not similar.

Hence, Triangle 1: 105°, 23° and Triangle 2: 52°, 105 are similar.

To learn more on Triangle, click:

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Answer:

Graph A

Step-by-step explanation:

The coordinates for M are x=-4 and y=3

Answer:

Graph A

Step-by-step explanation:

I DID THE TEST AND IT WAS CORRECT :)

Oh please help me i don't know how to do it

Answer:

A and D

Answer:

The second option

Step-by-step explanation:

To solve this, you should convert both rates to equations, with y being the total fare, and x being the number of miles. The rates of both use the format y=mx+b (where m is the amount per mile and b is the flat rate, or original rate).

By subbing in the values for m and b, you get y=2x+4 for A and y=3x+5 for B. This is the second option.

**This question involves writing linear equations, which you may wish to revise. I'm always happy to help!

Answer:

15+3+6+1+6+40+20+10=101

Answer:

e=44°

Step-by-step explanation:

3e-4+e+8 = 180 degree (being linear pair)

4e+4=180

4e=180-4

4e=176

e=176/4

e=44 degree

Answer:

Lines are perpendicular to each other .

Step-by-step explanation:

Standard equation  of line is : y = mx + c, Where m represents the slope

Given Equations :

[tex]y = -5x + 1\\\\Slope , m_1 = -5[/tex]

[tex]y = \frac{1}{5}x +1\\\\Slope, m_2 = \frac{1}{5}[/tex]

Two lines are parallel if the slope of the lines are same.

Two line are perpendicular if the product of the slope = - 1

Clearly slopes are not equal , therefore the lines are not parallel.

           product of the slope is - 1, therefore the lines are perpendicular.  

                                [tex]m_1 \times m_2 = -5 \times \frac{1}{5} = - 1[/tex]

Half the numbers on the die are even so you have a 1/2 probability of getting an even number. There is also. 1/2 probability of getting heads on a coin flip.

To find the probability of both happening, multiply the probability of each together:

1/2 x 1/2 = 1/4

The probability of getting an even number and heads is 1/4

Answer:

y = 2x - 3

Step-by-step explanation:

Take any two points from the graph

(0,-3)   & (2 ,1)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

         [tex]= \frac{1-[-3]}{2-0}\\\\= \frac{1+3}{2}\\\\= \frac{4}{2}\\\\= 2[/tex]

m = 2

[tex]y - y_{1}=m(x -x_{1})\\\\y - [-3] = 2(x - 0)\\\\y + 3 = 2x\\\\y = 2x - 3[/tex]

Answer:

true for A P E X

Step-by-step explanation:

I'm sorry I can't answer that but I know something so you can answer that. search in browser or anything searcher "quickmath" or "Cymath" all your problems, equations and more can be solved

Step-by-step explanation:

I hope it helps trust me :-)

Answer: Hi, there your answer is x=5

Step 1: Add 4 to both sides.

3x−4+4=11+4

3x=15

Step 2: Divide both sides by 3.

3x/3=15/3

x=5

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the surface area of a composite 3D figure, add the areas of each geometric figure making up the composite 3D figure. To find the volume of a composite 3D figure, draw any necessary planes to view the figure as basic three dimensional figures, then: add basic figure volumes belonging to the composite shape.

Answer:

???

Step-by-step explanation:

??? I dont understand

D, solved it graphically

Answer:

24 squared ft.

Step-by-step explanation:

Area of a triangle is 1/2(b*h)

b=8 ft, c=6 ft

Therefore, area

= 1/2(8*6)

= 1/2(48)

= 24 square ft

Answer:

length =105 width =10

Step-by-step explanation:

L=10*W+5

P=230

P=2(L+W)

230=2(10W+5+W)

SOLVE FOR W

W=10

L=10*W+5

=10*10+5

L=105

Answer:

Numerical data

Step-by-step explanation:

Given

Height recorded on a bar chart

Required

The type of data

From the question, we understand that the height is being recorded.

Height of flowers are numbers (e.g. 6in, 5in. 3in etc.).

When data are presented in numbers (i.e. digits), such data are referred to as numerical data.

Answer:

 5<k  

Step-by-step explanation:

Answer:

k-5

Step-by-step explanation:

So, lets go over each part of the sentence, and turn it into a expression.

So it first says sum. This means addition, so we can start our expression with:

+

Next is says of 5. So we know its the addition of 5:

+5

Next it says less than. So now we know less than, which is subtraction. So we can swap the addition sign for a - sign:

-5

Finally it says the number k. So we know that the subtracted value is k:

k-5

So this is your expression!

Hope this helps!

Answer:

the answer is A

Step-by-step explanation:

just use Pythagoras Theorem to solve it

Answer:

cosθ₁ = - [tex]\frac{5}{13}[/tex]

Step-by-step explanation:

Given

sinθ₁ = - [tex]\frac{12}{13}[/tex] = [tex]\frac{opposite}{hypotenuse}[/tex]

This is a 5- 12- 13 right triangle

with opposite = 12, adjacent = 5 and hypotenuse = 13

Given θ₁ is in the 3rd quadrant where cosθ₁ < 0 , then

cosθ₁ = - [tex]\frac{adjacent}{hypotenuse}[/tex] = - [tex]\frac{5}{13}[/tex]

Answer:

Check explanation

Step-by-step explanation:

Given:

y = -0.1x + 22

Where,

y = BMI of an individual

x = antioxidant food consumption per day in cups

Equation of a slope

y = mx + c

Where,

m = slope

c = y - intercept

Therefore,

From the equation

y = -0.1x + 22

slope, m = -0.1

y - intercept, c = 22

Answer:

The y-intercept tells us that a person who doesn’t have any antioxidant foods can expect to have a BMI of 26. For every cup of antioxidant food that is consumed one can expect to lower their BMI by 1.2.

Step-by-step explanation:

i used this for test and it was right.

Answer:

Scale Factor = 1/2

x = 3

Hope this helps!

Answer:

Step-by-step explanation:

Scale factor = 1/2

x = 6/2 = 3

Answer:

A. 25/33

B. 1/3

C. 1/33

D. 25/9

Answer:

[tex]\text{A. }25/33,\\\text{B. }1/3, \\\text{C. }1/33, \\\text{D. }25/9[/tex]

Step-by-step explanation:

Recall that [tex]\frac{x}{9}=0.\overline{x}[/tex] for [tex]x\in (1, 8)[/tex]. If multiple digits are repeating, increase the number of nines in the denominator as applicable.

Therefore, we have:

Part A:

"75" is repeating:

[tex]\rightarrow \frac{75}{99}=\boxed{\frac{25}{33}}[/tex]

Part B:

"3" is repeating:

[tex]\rightarrow \frac{3}{9}=\boxed{\frac{1}{3}}[/tex]

Part C:

"03" is repeating:

[tex]\rightarrow \frac{03}{99}=\frac{3}{99}=\boxed{\frac{1}{33}}[/tex]

Part D:

"7" is repeating, but there is a terminating decimal 2.0 with it ([tex]2.\overline{7}=2.0+0.\overline{7}[/tex]):

[tex]2+\frac{7}{9}=\frac{18}{9}+\frac{7}{9}=\boxed{\frac{25}{9}}[/tex]

Answer:

(0, -5)

Step-by-step explanation:

Multiply both sides of the second equation by 6 to get 6y=3x+30. Then, subtract the second equation from the first to cancel out the x's. y-6y=-5y, 3x-5-3x-30=-25. -5y=-25, so y=-5. Substitute -5 into the first equation to get 3x-5=-5, add five to both sides: 3x=0, divide by 3: x=0. The ordered pair is (0, -5). Hope this is correct and helps! :)

Answer:

g(5) = -19

Step-by-step explanation:

Substitute 5 for x in the equation

Plug in 5 for the x's and get g(x)=-3(5)-4 and then -15-4 which is -19 so g(x)=-19