Find the measure of the exterior angle.

Find The Measure Of The Exterior Angle.

Answers

Answer 1

Answer: 108 degrees

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the two remote interior angles. (Remote referring to the farthest angles from the exterior angle) 2a = (a+10) + 44. Combine like terms.

2a = a+ 54. Subtract “a” from both sides.

a= 54

You can check for correctness by plugging in 54 for a. 2(54) = (54+ 10) + 44. 108= 108.

(Remember, the exterior angle should equal the sum of the two remote interior angles)


Related Questions

What is the best prediction of the time required for
the oil spill to reach a diameter of 10 km?
A 147 days
B200 days
205 days
D233 days

Answers

Answer:

Step-by-step explanation:

It's 205

The best prediction of the time required for the oil spill to reach a diameter of 10 km will be 147 days. Then the correct option is A.

What is a quadratic equation?

The quadratic equation is given as ax² + bx + c = y. Then the degree of the equation will be 2.

The table shows the connection between the width in kilometers of an oil slick and the time in days. A capability can be utilized to show this relationship.

The equation at (2.4, 1) will be given as,

2.4 = a (1)² + b (1) + c

2.4 = a + b + c                 ...1

The equation at (9.4, 2) will be given as,

9.4= a (2)² + b (2) + c

9.4 = 4a + 2b + c                 ...2

The equation at (21.1, 3) will be given as,

21.1 = a (3)² + b (3) + c

21.1 = 9a + 3b + c                 ...

Solve equations 1, 2, and 3 with the calculator, then we have

a = 2.35, b = -0.05, c = 0.1

Then the equation is given as,

y = 2.35x² - 0.05x + 0.1

The best prediction of the time required for the oil spill to reach a diameter of 10 km will be

y = 2.35(10)² - 0.05(10) + 0.1

y = 235 - 0.5 + 0.1

y = 235.5

The value of y is nearer to the value of 233. Then the value of y will be 233 days.

The best prediction of the time required for the oil spill to reach a diameter of 10 km will be 233 days. Then the correct option is D.

More about the quadratic equation link is given below.

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The complete question is given below.

The table shows the relationship between the diameter of kilometers of an oil spill and the time in days. A function can be used to model this relationship.

What is the best prediction of the time required for the oil spill to reach a diameter of 10 km?

A) 147 days

B) 200 days

C) 205 days

D) 233 days

express x^2 - 8x + 5 in the form (x - a)^2 - b where a and b are integers

Answers

Answer:

x^2 -8x + 5 = (x-4)^2 - 11

Step-by-step explanation:

Here we want to write the given expression in the form

x^2-8x + 5 can be written as follows;

(x-4)^2 = x^2 - 8x + 16

All we have to do is to subtract 11

Thus, we have it that;

x^2-8x + 5 = (x-4)^2 - 11

Divide 200kg in the ratio 15:9:1

Answers

Answer:

120kg, 72kg and 8kg

Step-by-step explanation:

Given the ratios 15:9:1

total ratio = 15+9+1 = 25

For the ratio of 15

Share = 15/25 * 200

Share = 3000/25

Share = 120kg

For the ratio of 9

Share = 9/25 * 200

Share = 1800/25

Share = 72kg

For the ratio of 1

Share = 1/25 * 200

Share = 200/25

Share = 8kg

X=?
Enter the number that goes in the green box.
Please helpppp:(

Answers

Answer:

x=35°

Step-by-step explanation:

145°+110°+70°=325°

360°-325°=35°

Find the missing side length.
12
15
X

Answers

x^2 = c^2 -b^2
225-144=81
square root of 81 is 9
answer is 9

Determine the slope of the line that passes through the given points. Complete your work in the space provided.
(8.1) and (8,-4)

Answers

Answer:

0

Step-by-step explanation:

Slope formula y2-y1/x2-x1

-4-1/8-8

simplify

-5/0

slope is 0

Write the equation of an exponential function that satisfies these characteristics:
1. y intercept of (0,5)
2. range is all y values greater than 0

Answers

Press here to get the correct answer

The value of the exponential equation is y = 5ˣ + 4

What are the laws of exponents?

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

The y intercept is ( 0 , 5 )

So , when x = 0 , the value of y = 5

Substituting the values in the equation , we get

y = 5ˣ + 4   be equation (1)

when x = 0

y = 5⁰ + 4

y = 1 + 4

y = 5

when x = 2

y = 5² + 4

y = 25 + 4 = 29

Therefore , the range is all y values greater than 0

Hence , the equation is y = 5ˣ + 4

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A six-sided number cube is rolled 300 times. Predict how many times you would expect to roll a 4.
A.
40

B.
50

C.
60

D.
100

Answers

Answer:

50 of 300 times

Step-by-step explanation:

-3(1+6r)=14-r


in class need help

Answers

Answer:

r = -1

Step-by-step explanation:

-3(1+6r)=14-r

Distribute the -3

-3*1 -3*6r = 14-r

-3 -18r = 14 -r

Add 18r to each side

-3-18r+18r = 14-r+18r

-3 = 14+17r

Subtract 14 from each side

-3-14 = 14+17t-14

-17 = 17r

Divide by 17

-17/17 = -17r/-17

-1 =r

please quickly and correctly solve the question in the image below.

Answers

Answer:

step 2

Step-by-step explanation:

he was not supposed to multiply by x

he was supposed to combine like terms

add -2x and 4x and add 6 and 5

Answer:

So he messed up on step 2

Step-by-step explanation:

You have $40 in a savings account and you deposit an equal amount into your account each week. After 8 weeks the account holds $128. Write an equation that represents the amount y (in dollars) of money in the account after x weeks.​

Answers

Answer:

40+x=y

Step-by-step explanation:

Hello someone please help ASAP!!

Answers

Answer:

B

Step-by-step explanation:

A rational function range or possible answer cant be zero since on a rational function we dont want what we call vertical and horizontal asymptote are when y=0 or when x=0 so it can be any real number except 0.

What would you multiply by to decrease a number by 22.5%

Answers

Answer:

Multiply the number by 77.5%      (100%-22.5%)

Step-by-step explanation:

Answer:

Multiply the number by 77.5%      (100%-22.5%)

Step-by-step explanation:

52,427 rounded to the nearest thousand

Answers

Answer:

52,000 to the nearest thousand

Answer:

52,000

Step-by-step explanation:

Jared consuela and Reggie have an ant farm Jared collected 25/100 of the ants from the ant farm consuela collected 6/10 of the ants what fraction of the ants did Jared and consuela collected together

Answers

Answer:

17/20

Step-by-step explanation:

[tex]\frac{25}{100} + \frac{6}{10}[/tex]

to solve this multiply both fractions by 100

(25 + 60) / 100 = 85/100

we need to find the lowest common multiple

Both the numerator and denominator can be divided by 5 = 17/20

Solve the system by substitution.
y = -6x
y = -4x + 4

Answers

Answer:

x=-2 y =12

Step-by-step explanation:

Eliminate the equal sides of each equation and combine.

−6x=−4x+4

Solve

−6x=−4x+4

x=−2

y= 12

The solution to the system is the complete set of ordered pairs that are valid solutions.

(−2,12)

The result can be shown in multiple forms.

Point Form:

(−2,12)

Equation Form:

x=−2,y=12

Maia has a total debt of $25. She is trying to pay back $2 each week for the next 8 weeks. If Maia is successful, which amount will represent the change in the amount of her debt?

+$16
-$16
+$10
-$10

can someone please help? i've been asking questions and nobody's been helping :(

Answers

Answer to your question is -$16

Answer:

-16

Step-by-step explanation:

2(8)=16, 25+(-16)=current debt after 8 weeks

Reuben hires a car. It costs £150, plus 85p for each mile he travels. When Reuben hires the car, its mileage is 27612 miles. When Reuben returns the car, its mileage is 28361 miles. How much did Reuben pay to hire the car?

Answers

Answer:

Cost of hiring a car = £63,815

Step-by-step explanation:

Cost of hiring a car = 150 + 85p

When Reuben hires the car, its mileage is 27612 miles. When Reuben returns the car, its mileage is 28361 miles.

Number of miles Reuben travelled = 28,361 miles - 27,612 miles

= 749 miles

Cost of hiring a car = 150 + 85p

= 150 + 85(749)

= 150 + 63,665

= 63,815

Cost of hiring a car = £63,815

cubic feet= 1 cubic yard

Answers

Answer:

(1 yard) 3 = 1 3 yard*yard*yard = 1 yard*yard*yard = 1 cubic yard. Since 1 yard = 3 feet, we have.

1 cubic yard = (1 yard) 3 = (3 feet) 3 = 33 feet*feet*feet = 27 cubic feet.

Step-by-step explanation:

. What is the value of x
please help

Answers

Answer:

9

Step-by-step explanation:

12x + 17x - 14 + 90 + 2x + 5 = 360

31x + 81 = 360

31x = 279

x = 9

please help i’ll give you brainliest and a thanks

Answers

Answer:

[tex]3g + 40[/tex] and g= 60

Step-by-step explanation:

hope this helps have a good rest of your night :) ❤

Maggie is trying to find the best deal to buy bags of potato chips. Option A: $0.90 for 9 bags of chips Option B: $0.84 for 7 bags of chips Option C: $1.50 for 5 bags of chips Which option is the better deal?
A
Option A
B
Option B
C
Option C

Answers

Answer:

The answer is option A. Since you would be paying 0.10 for each bag.

The solution is Option A.

The best deal for Maggie to buy the bag of potato chips would be 9 bags for $ 0.90 because each bag cost $ 0.10

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the cost of each bag be represented as A

Now , the equation will be

a)

$0.90 for 9 bags of chips

The cost of 9 bags = $ 0.90

The cost of 1 bag A = The cost of 9 bags / 9

Substituting the values in the equation , we get

The cost of 1 bag A = 0.90 / 9

On simplifying the equation , we get

The cost of 1 bag A = $ 0.10

b)

$0.84 for 7 bags of chips

The cost of 7 bags = $ 0.84

The cost of 1 bag A = The cost of 7 bags / 7

Substituting the values in the equation , we get

The cost of 1 bag A = 0.84 / 7

On simplifying the equation , we get

The cost of 1 bag A = $ 0.12

c)

$1.50 for 5 bags of chips

The cost of 5 bags = $ 1.50

The cost of 1 bag A = The cost of 5 bags / 5

Substituting the values in the equation , we get

The cost of 1 bag A = 1.50 / 5

On simplifying the equation , we get

The cost of 1 bag A = $ 0.30

Therefore , the 0.10 < 0.12 < 0.30

Hence , the cost of $0.90 for 9 bags of chips is the best deal

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Rewrite the following expression using the properties of logarithms.

log2 z + 2 log2x + 4 log9 y + 12 log9 x - 2 log2 y

You must show all of your work to receive credit.

Answers

i’m gonna write it & send a picture!!

Which equation in point-slope form describes the line that passes through the point (4,-5) and is perpendicular to
the line represented by
- 7x + 2y = 14?

Answers

9514 1404 393

Answer:

  D  y +5 = -2/7(x -4)

Step-by-step explanation:

The point-slope form is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

You're given (h, k) = (4, -5), so the equation will be of the form ...

  y +5 = m(x -4) . . . . for some slope m

This form eliminates the first two choices.

__

The slope of the given line is the coefficient of x when solved for y:

  2y = 7x +14

  y = 7/2x +7  . . . .  slope is 7/2

The perpendicular line will have a slope that is the opposite reciprocal of this, ...

  -2/7 . . . . slope of perpendicular line

This is the slope shown in choice D:

  y +5 = -2/7(x -4)

D

Step-by-step explanation:

Please answer these 3 they are pretty simple tysm will mark brainliest

Answers

7: -69

8: -2+3-4 = -3

9: $ (5y+10)

Tessa bought stock in a restaurant for $277.00. Her stock is now worth $346.25. What is the percentage increase of the value of Tessa's stock?

Answers

Answer:

125%

Step-by-step explanation:

Divide 346.25 by 277

you get 1.25

multiply it by 100

Answer:

25%

Step-by-step explanation:

This is calculated this way:

$346.25/$277 = 1.25

Then subtract 1, because that part represents what Tessa had to start with. That leaves

0.25

That decimal equals 25%, and that is the answer.

12 decreased by some number h

Answers

Answer:

12 - h

Step-by-step explanation:

Yesterday, between noon and midnight, the temperature dropped by 25.8°F. If the
temperature was -13.4°F at midnight, what was it at noon?

Answers

15.1 f

Step-by-step explanation:

-13.4+25.8= 15.1 F

giving brainliest Here are the coordinates of rectangle PLAY: (-11,20), (-11,-3), (-1,20), (-1,-3). Find the perimeter of this rectangle. See if you can figure out its side lengths without plotting the points.

Answers

Answer:

perimeter equals 66

sides: 23,23,10 10

You need to use the distance formula. I recommend plotting these points on graphing paper to help you.

1 Zx and Zy are supplementary angles. Zy measures 65º. What is the measure of Zx?​

Answers

Answer:

zx=115'

Step-by-step explanation:

supplementary angles add up to 180'

180-65=115

Answer:

115°

Step-by-step explanation:

Given

Zy = 65°

Zx = ?

we know

Zx + Zy = 180° { being supplementary angles }

Zx + 65° = 180°

Zx = 180° - 65°

Zx = 115°

Hope it will help :)❤

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