Solve for the measure of x in the following diagram

Answer:

The answer is c

Step-by-step explanation:

(7,9) (3,25)

The solution sets of the given system of equations are (3,25) and (7,9).

Given equations are :

[tex]y=-x^{2} +6x+16[/tex]........(1)

[tex]y=-4x+37[/tex]...........(2)

An equation is a statement that equates to two expressions.

So, for the solutions of the  given system of equations

[tex]-x^{2} +6x+16=-4x+37[/tex]

[tex]x^{2} -10x+21=0[/tex]

[tex]x^{2} -3x-7x+21=0\\x(x-3)-7(x-3)=0[/tex]

[tex](x-3)(x-7)=0[/tex]

So, [tex]x=3[/tex]

[tex]x=7[/tex]

Corresponding y value for x=3

[tex]y=-4*3+37\\y=25[/tex]

Corresponding y value for x=7

[tex]y=-4*7+37[/tex]

[tex]y=9[/tex]

Hence, the solution sets of the given system of equations are (3,25) and (7,9).

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Answer:

3

Step-by-step explanation:

From the information given in the statement, you can find the number of problems that Hunter answered correctly by calculating the 5% of 60. This because 5% is the grade that he got which means that he only had 5% of his answers correctly and 60 is the total number of problems:

60*5%= 3

According to this, Hunter answered correctly 3 problems on the final exam.

Answer:

The volume of Vince’s Kitchen is 680 cubic feet

Step-by-step explanation:

To calculate the volume of Vince’s kitchen, what is needed to be done is to multiply the area of the floor by the height of the kitchen

Mathematically Volume V of kitchen = area of kitchen floor * height of kitchen

From the question, the area of the kitchen floor = 85 square feet

Height of kitchen = 8 feet

Plugging these values to get the area of the Kitchen, we have;

V = 8 * 85 = 680 cubic feet

Answer:

positive

Step-by-step explanation:

Answer: 2 prices

Step-by-step explanation:

Price per play = $0.50

Total amount incurred by Gina in playing =$4

Therefore, total games played :

$4 ÷ $0.5 = 8 games.

Total points on spinner = (1,2,3,4,5,6,7,8,9,10,11,12)

Required for winning = (3, 5, 7)

Probability of winning:

P(WIN) = ( required outcome / Total possible outcome)

P(win) = 3/12 = 1/4

Therefore, the number of prices she can expect to win is (1/4) × number of games (8)

(1/4) × (8) = 2

Answer:

-5 < a < 3.4

Step-by-step explanation:

3 - 2a < 13

3 - 13 < 2a

2a > -10

a > -5

5a < 17

a < 3.4

Solution:

-5 < a < 3.4

Step-by-step explanation:

Step 1:  Find the solution to the first equation

[tex]3 - 2a < 13[/tex]

[tex]3 - 3 - 2a < 13 - 3[/tex]

[tex]-2a < 10[/tex]

[tex]-2a / -2 < 10 / -2[/tex]

[tex]a > -5[/tex]

Step 2:  Find the solution to the second equation

[tex]5a < 17[/tex]

[tex]5a / 5 < 17 / 5[/tex]

[tex]a < 3.4[/tex]

Answer:  [tex]-5 < a < 3.4[/tex]

Answer:

Weather Forecasts,Genetics,Medical Studies i think

Step-by-step explanation:

Answer:

I think it is C) The line will contain points whose y-coordinate will decrease in value as you move to the right

Step-by-step explanation:

HOPE THIS HELPS

Answer:

A farmer has 180 eggs.

He stores them in trays.

Each tray holds 30 eggs.

Then he would need 180/30 = 6 trays.

Hope this helps!

:)

Answer: area =45   perimeter=28

Step-by-step explanation:    height is 9, length is 5   5x9 =45

9+9+5+5= 28

Answer: n = -27

Step-by-step explanation:

2/9n = -6

divide both sides by 2/9

n = -27

Answer:

this is so overdue

Step-by-step explanation:

Answer:

The second option

Step-by-step explanation:

cos35=5/c

5/c=cos35/1

cos35(c)=5

c=5/cos35

Therefore, the second option.

I hope this helped and have a good rest of your day!

Answer: it's around 40

Step-by-step explanation:

Answer:

The population density is 7592 people per square mile

Step-by-step explanation:

The population density of los Angeles here refers to the number of people present by square miles

Mathematically, to find this population density, what we need to do is to divide the total population that we have by the area of Los angeles

The population here is 4,000,000 while the area is 503 square miles

The population density is thus ;

4,000,000/503 = 7592.29 which is approximately 7592 people per square mile

Answer:

They do have the same solution

Step-by-step explanation:

In the first problem, you subtract 3/4 first. Next you would divide by 2/3. When you divide 7 1/4 by 2/3, you get 87/8. The only step in the second problem is to divide 87 by 8 (87/8).

Answer:

likely or probable

Step-by-step explanation:

hhhgfd

Step-by-step explanation:

2 Buildings : 3 Floors Each : 16 Windows per Floor

Multiply 2 and 3 to get the total amount of floors.

2 times 3 equals 6

Then, multiply 6 and 16 to get the total amount of windows in the Park View Buildings.

6 times 16 equals 96

Therefore, there are 96 windows in total or 48 windows per building

Answer:

a^2 + 2ab + b^2 - c^2

Step-by-step explanation:

When you multiply all the terms together you get a^2 + ab + ac + ab + b^2 + bc - ac - bc - c^2. Then you can just combine like terms and simplify it to a^2 + 2ab + b^2 - c^2. Hope this helps :)

Answer:

9.8 Inch

Step-by-step explanation:

The distance from the upper left corner to the bottom right corner of the box is the longest diagonal of the box.

For a rectangular prism:

Length of the Longest diagonal [tex]=\sqrt{ l^2+h^2+w^2}[/tex]

Therefore:

Length of the pencil[tex]=\sqrt{ 8^2+4^2+4^2}[/tex]

[tex]=\sqrt{96}\\=9.8$ inch(correct to the nearest tenth of an inch)[/tex]

Answer: length of pencil is 9.8 inches.

Step-by-step explanation:

The pencil fits perfectly from the upper left corner to the bottom right corner of the box. This is the diagonal of the box(not the diagonal of a face). To determine the length of the pencil, we would determine the length of the diagonal of the box. The formula formula is

d = √(l² + w² + h²)

Where

d = diagonal = length of pencil

w = width = 4 inches

h = height = 4 inches

l = length = 8 inches

Therefore,

d = √(4² + 4² + 8²) = √96

d = 9.8 inches

Answer: 24 units^2

(12*4)/(2)=24

Step-by-step explanation:

Answer:

Step-by-step explanation:

4*12/0.5=96

Answer:

x = 5

y = 4

Step-by-step explanation:

just substitute the value of one variable into the other

-x +y = -1

or y = -1 +x   <-------- (i just added x to the right side)

now u know what y is equal to, just substitute that value into the first equation

2x - (-1+x) = 6     <-------- instead of y, i put the value of y from the 2 equation

NOW SOLVE FOR X!

2x +1 -x = 6

x + 1 = 6

x = 5

now solve for y since you have the value of x

y = -1 + x

or y = -1 + 5

y = 4

Answer:

y=3.166     x=4.166

Step-by-step explanation:

Answer:

76

Step-by-step explanation:

-4x + 104 = -200

-4x = -304

4x = 304

x=76

Answer:

The first answer is incorrect

Step-by-step explanation:

45 divided by 9 is 5 not 40

The equation that represents the statement is j / 9 = 5.

An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.

The statement j divided by 9 is 5 can be written in equation form as follows:

j / 9 = 5

j = 45

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Answer:

GFD = 132.7

Step-by-step explanation:

JIF and GFD are same side interior angles  and when the lines are parallel, same side interior angles are equal

JIF = 132.7  so GFD = 132.7

In the diagram shown, we are given that JIF and GFD are parallel lines. However, these lines are also same side interior angles. This means that they will be equal to each other since they are parallel lines. Remember, parallel lines are coplanar lines that do not intersect.

So if JIF = 132.7°, then GFD also measures 132.7°.

Answer:

-5

----

6

Step-by-step explanation:

y2-y1

-------

x2-x1

-1-4 -5

------ = ---

4--2 6

~Anna

Answer:

3

Step-by-step explanation:

Answer:

A bag contains:

8 blue balls.

7 green balls.

5 red balls.

The probability that the ball is red would be:

P = Red balls/Total balls = 5/(5+7+8) = 5/20 = 1/4 =0.25

Hope this helps!

:)

Answer:

0.25

Step-by-step explanation:

Total balls: 8 + 7 + 5 = 20

Red balls: 5

P(red) = 5/20 = 0.25

Answer:

68%

Step-by-step explanation:

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. About 68% of individuals have IQ scores in the interval 100 ± 1 ( 15 ) = [ 85 , 115 ] .