i need to find the measure of the exterior angle of the triangle ​

Answer:

Step-by-step explanation:

1/4a + 1/3a + 8 = 22

Collect like terms

1/4a + 1/3a = 22 - 8

Simplify

3a+4a/12 = 14

7/12a = 14

Divide both sides by 7/12

a = 14 ÷ 7/12

= 14 × 12/7

= 168/7

= 24

a = 24

Check:

1/4a + 1/3a + 8 = 22

1/4(24) + 1/3(24) + 8 = 22

24/4 + 24/3 + 8 = 22

6 + 8 + 8 = 22

22 = 22

Answer:

The quotient is  3 and [tex]\frac{3}{4}[/tex].

Step-by-step explanation:

To find the quotient of the division (which is just the solution, really), we have to solve the division itself:

[tex]\frac{\frac{3}{4}}{\frac{1}{5}}[/tex]

[tex]= \frac{3 \cdot 5}{1 \cdot 4}[/tex]

[tex]= \frac{15}{4}[/tex]

Now that we know the quotient, we can look at the question itself to find it requires from us an answer with a whole number in it.

Therefore, we transform the fraction as thus:

[tex]\frac{15}{4}[/tex]

[tex]= 3 \frac{3}{4}[/tex]

Therefore, the final answer is 3 and [tex]\frac{3}{4}[/tex].

Hope this helped!

Answer:

17

Step-by-step explanation:

(8×8) + (15×15) = 289

square root of 289 is 17

Answer:

Step-by-step explanation:

What I can see from this are many things. First of all, the girls achieved a higher score than the boys since the girls got a higher mean then the boys. This means that if we were to take the average score of each gender, the girls got a higher score. To find the average/mean you need to find the sum of the data set then divide it with the number of data entries. The boys had a smaller range than the girls, which means that the scores the boys achieved were closer than the girls. The higher the range the more likely your data is scattered. The lower your range, the more likely your data is contained of similar numbers. You figure out the range but subtracting your highest data point from your lowest data point.

Answer: X = 9

Step-by-step explanation:

First, Take 1 away from 10. 10 - 1 = 9. Then divide 9 by three. 9 divided by three is 3, so X = three.

Answer:

-8

Step-by-step explanation:

do exactly the same as you would for a positive number.

a negative and a positive make a negative so your answer should be negative

Answer:

-64 divided by 8 Equals

-8

Answer:

Should be 9 in.

Answer:

-10n

Step-by-step explanation:

-6n-4n=-10

Answer:

Y=-5/3x-1

y=2/3x-8

If you are adding then it is:

7x=21

x=3

Step-by-step explanation:

5x+3y=-3

3y=-5x-3

y=-5/3-1

2x-3y=24

-3y=-2x+24

y=2/3x-8

Answer:

If you add the two equations, you get

-5x = -10

Step-by-step explanation:

it might be wrong

Answer:yaba

Step-by-step explanation:

yaba

Answer: 0.5

Step-by-step explanation:

4x1/8 is 1/2

1/2= 0.5

Answer:

a

Step-by-step explanation:

y=4x+ 1

Answer:

y = 12

Step-by-step explanation:

Answer:

Tables 3. The one in the bottom left corner.

Step-by-step explanation:

The values of table C is not in variation.

Two sorts of quantities typically exist in a mathematical equation when a relationship is established for a certain type of parameter. One is a constant that stays the same regardless of how the other variables in the equation vary, and the other is a variable that changes depending on the circumstances. Variation is the term used to describe the changing of variables.

Given tables,

A direct variation is a straightforward relationship between x and y. To find a direct relationship, either use the formula y = kx or divide y over x (y/x).

Relation for table A

y /x =  -3/1 = -3

y /x = -9/3 = -3

y /x = -18/6 = -3

y /x = -36/12 = -3

relation is in variation.

Relation for  table B

y /x =  3/1 = 3

y /x = 9/3 = 3

y /x = 18/6 = 3

y /x = 36/12 = 3

relation is in variation.

Relation for  table C

y /x =  4/1 = 4

y /x =  6/3 = 2

y /x =  9/6 = 3/2

y /x =  15/12 = 5/3

Equation doesn't have a direct relationship between x and y.

Relation for  table D

y /x = 2/1 =2

y /x = 6/3 = 2

y /x = 12/6 = 2

y /x = 24/12 = 2

relation is in variation.

Hence the table C is not in variation.

Learn more about variation;

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Answer:

Step-by-step explanation:

As per diagram, the two triangles are similar, as all angles are congruent (one is vertical, one is right, one is the

Let the distance across the river be x.

The ratio of corresponding sides is same. Find x using ratios:

Answer:

56.25

Step-by-step explanation:

I took the quiz.

Answer:

the slope of the line= 0.75.

its answer is 3.96 in y axis on 76 on X axis

Answer:

I got x=2

Step-by-step explanation:

1. Simplify the quadratic equation into its standard form

More Icon

Ax^2 +Bxc=0

Simplify the equation by subtracting everything to the right of the equal sign from both sides of the equation and combining like terms.

x^2-12x+0=-20

x^2-12x+0+20=0

x^2-12x+20=0

The Quadratic formula provides the solution for Ax^2 +Bxc=0, in which A, B, and C are numbers (or coefficients), as follows:

The coefficients of our equation, x^2-12x+20=0, are:

A = 1

B = -12

C = 20

Simplify 64 by finding its prime factors.

We first calculate the expressions inside the parentheses from left to right and from inner to outer.

x=12-8/2

x=4/2

x=2

Answer:

0+5+20= 25 the answer is 25

Answer:

x = -1, y = 2 and z = 1

Step-by-step explanation:

The given system of equations are :

2x - y + 3z= -1  ....(1)

x + 2y - 4z = -1  ......(2)

y – 2z = 0  .....(3)

Equation (3) can be written as :

y = 2z

Use y = 2z in equation (2)

x + 2(2z) - 4z = -1

x + 4z - 4z = -1

x = -1

Put the value of x in equation (1) :

-2 -y +3z = -1

-y+3z = 1 ....(4)

Adding equation (3) and (4)

y-2z+(-y+3z)=1

z = 1

Now put z = 1 in equation (4)

-y+3=1

-y = -2

y = 2

Hence, the values of x,y and z are -1, 2 and 1 respectively.

Answer:

2y=8/3x

Step-by-step explanation:

7x+4=3x-20

Subtract 3x to the left.

4x+4=-20

Subtract 4 to the right.

4x=-24

Divide -24/4 to isolate variable "x".

x=-6

Plug it back it to prove the solution.

7(-6)+4=3(-6)-20

-38=-38

Answer:

7x+3=-25+3x

minus 3 on both sides

7x=-28+3x

minus 3x both sides

4x=-28

divide 4 both sides

x=-7

the number is -7

Answer:

- 5/3

Step-by-step explanation:

Line is passing through the points (0, 2) & (3, - 3)

Slope of the graph = (- 3 - 2)/(3 - 0) = - 5/3

Answer:

15

Step-by-step explanation:

3^2 + sqrt4 + 4

3^2 = 9

sqrt4 = 2

(9)+(2)+(4)=15

therefore, the answer is 15