(3 questions for 40 points)

7. Given XPS = DNF, find the values of x and y

8. Given MTW = BGK, find the values of x and y

9. Given PRS = CFH, find the values of x, y, and z

Answer:

AB = 11

Step-by-step explanation:

AB = x

BC = x - 4

AC = 6 + BC    Substitute BC

AC = 6 + (x - 4)

AC = 2 + x

The perimeter of the triangle  is 31

Perimeter =  AB + BC + AC  perimeter is the sum of the sides

 31 = (x )+ (x - 4 ) + (2 + x)

  31 = 3x - 2

   33 = 3x

   11 = x

AB = x = 11 inches

Check:  

AB = x  ;    AB = 11

BC = x - 4;  BC = 11 - 4; BC = 7

AC = 2 + x;  AC = 2 + 11; AC = 13      

  P = 11 + 7 + 13

      = 31

Answer:

E, -1/5

Step-by-step explanation:

The slope of a line, given the coordinates, can be written as m = (y2 - y1) / (x2 - x1), where x and y are points in the coordinates.

Let's look at the coordinates. (-5, 1), the first value in the brackets is always the x-coordinate and the second value is always the y-coordinate. So -5 is x and 1 is y. But we have to points, so -5 is x1 and 1 is y1, and -20 is x2 and 4 is y2.

By substituting

m = (4 - 1) / (-20 - [-5])

m = 3 / (-20 + 5)

m = 3 / -15

m = -1 / 5

[tex]\text{Given that,}~ (x_1,y_1) = (-5,1)~~ \text{and}~~ (x_2, y_2) =(-20,4)\\\\\\\text{Slope,}~ m =\dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{4 - 1}{-20 +5 } =-\dfrac 3{15} = - \dfrac 15[/tex]

Answer:

x = 17

Step-by-step explanation:

1. First, we should know that all angles in any triangle add up to 180°.

2. (Solving)

Step 1: Simplify both sides of the equation.

Step 2: Add 7 to both sides.

Step 3: Divide both sides by 11.

Step 4: Check if solution is correct.

Therefore, x = 17.

Answer:

x=17

Reasoning:

The three interior angles of a triangle will always have a sum of 180°. Thus, you could make an algebraic equality with this information.

[tex]6x+x+4x+17+10-34=180[/tex]

[tex]11x-7=180[/tex]

[tex]11x=187[/tex]

[tex]\frac{11x}{11} =\frac{187}{11}[/tex]

[tex]x=17[/tex]

Answer:

not linear

Step-by-step explanation:

a linear function contains x and y only with the exponent 1.

this allows the function to be a line (hence the term "linear"), a constant ratio of y changes to x changes for any values of x which defines linear relation between x and y.

but this equation contains a term with x², which changes the size of change of y for every value of x.

e.g. when x changes by 1 from 1 to 2, y changes by 3 from 1² to 2² (1 to 4). but if x changes again by 1 from 2 to 3, y changes by 5 from 2² to 3² (4 to 9).

this is clearly not constant.

4a - 5b = 7

substract 4a from both sides

4a - 5b - 4a = 7 - 4a

positive 4a with negative 4a

5b = 7 - 4a

devide both sides by 5

[tex] \frac{5b}{5} = \frac{7 - 4a}{5} [/tex]

[tex]b = \frac{7 - 4a}{5} [/tex]

Answer:

5.44 METERS OF ROPE

Step-by-step explanation:

LMC (18,21) = 126

ok done. Thank to me :>

Step-by-step explanation:

p^m × p^n .....since the base is the same, add the powers

p^(m + n)

p^m + n

The line intersects x - Axis at 6

- BRAINLIEST ANSWERER

Answer:

Step-by-step explanation:

−2/9x+2.7=4

subtract 2.7 from both sides

-2.9x = 1.3

divide -2.9 from both sides

x= -.4482 or x= -.45

Answer:

Step-by-step explanation:

y is a function of x . TRUE

The graph of the relationship is a line.  TRUE

The graph of the relationship passes through the origin.  - it in standard form, when you plugin 0 for x or y, you get the other intersect( x-intercept: (12/-5,0) y-intercept: (0,4)) so it dosent go throught the origin. FALSE

When the input is 6, the output is 14. TRUE

-5(6)+3(14)=12

-30+42=12

12=12

Answer:

y is a function-TRUE

The graph of the relationship is a line-TRUE

The graph of the relationship passes through the origin-FALSE

When the input is 6, the output is 14-TRUE

Answer:

They would be equally caramelly, the ratio of oats:caramel is equal

Step-by-step explanation:

Answer:

$875.00

Step-by-step explanation:

You multiply 1250 by .3 to get 375. Then you subtract that from your total to get your sale price. Hope this helps :))

[tex]-4[/tex] is a part of the solution set to all of the inequalities

We will consider each inequality in turn:

For [tex]x>-5[/tex]:

The solution set is [tex]\{{-4,-3,-2,-1,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]x>-5[/tex]

For [tex]2>x[/tex], or [tex]x<2[/tex]:

The solution set is [tex]\{{1,0-1,-2,-3,-4,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]2>x[/tex]

For [tex]3x+4\ge -8[/tex]:

We have to solve first

[tex]3x+4\ge -8\\3x\ge -8-4\\3x\ge -12\\x\ge -4\\[/tex]

The solution set is [tex]\{{-4,-3,-2,-1,0,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]3x+4\ge -8[/tex]

For [tex]5x\le 2x-3[/tex]:

We have to solve first

[tex]5x\le 2x-3\\5x-2x\le-3\\3x\le-3\\x\le-1[/tex]

The solution set is [tex]\{{-1,-2,-3,-4,-5,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]5x\le 2x-3[/tex]

For [tex]-6<4-2x[/tex]:

We have to solve first

[tex]-6<4-2x\\2x<4+6\\2x<10\\x<5[/tex]

The solution set is [tex]\{{4,3,2,...,-3,-4,-5,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]-6<4-2x[/tex]

So, [tex]-4[/tex] is a part of the solution set of all the inequalities.

Learn more about inequalities here: https://brainly.com/question/278997

Answer:

Step-by-step explanation: it’s 41%

Answer:

Input : 12

Output : -48

Step-by-step explanation:

Hope it helped

Answer:

77

Step-by-step explanation:

cats:dogs

2:5

2x11=22

5x11=55

55+22=77

Answer:

77 animals

Step-by-step explanation:

Ratio = 2:5

2 = 22

5 = 5/2 ×22

= 55

=>There are 55 dogs in the animal shelter

Therefore the total number of animals = 55 +22

= 77

=> There are 77 animals at the animal shelter

Answer:

Direct proportional graphs do not need to start from the origin.

Step-by-step explanation:

Direct proportional graphs do not need to start from the origin. However, all direct proportional graphs must go through the origin.

Regardless of the value of the constant of proportionality, k, the graph of the lines all go through the point of origin, (0, 0).  

As a proof, the attached screenshot shows the graph of three equations of direct variations.  The graphed direct variation equations, y = 2x, y = -2x, and y = ¼x all go through the point of origin.

Answer:

Step-by-step explanation:

Minimum number of regions

You may have 100 parallel lines. This will give us 101 regions

Use following formula to find the maximum possible number of regions:

Answer:

_16,-13,-9,0

Step-by-step explanation:

hope this helps u out!!

Answer:

Dude just search it up

Step-by-step explanation:

you have small brain

Answer:

21.50 + 0.25r = 22.25

Step-by-step explanation:

Thats ur equationnn

Answer:

f(x) = (1/2)x

Step-by-step explanation:

f(x) = mx + b

m is the slope

b is the y-intercept

m = rise/run

for every run of 2 in x

f(x) rises 1

m = 1/2

The y-intercept occurs when x = 0

from the table f(0) = 0

b = 0

Therefor

f(x) = (1/2)x + 0

f(x) = (1/2)x

Answer:

[tex]f(x) = 1/2*x[/tex]

Step-by-step explanation:

Linear functions are functions of the form "f(x) = a * x + b" where 'a' and 'b' are constants (numbers) and x is the input.

In this problem, you are given the inputs and outputs of the function. Since you know it is linear, you begin thinking about what number you can multiply on the left to get the value on the right.

-4 / 2 = -2

-2 / 2 = -1

0 / 2 = 0

We find that dividing x by 2 gives the correct output. Dividing by 2 is the same as multiplying by 1/2. Therefore, we have found the answer!

f(x) = 1/2 * x

Answer:

That he made a medicine that reduces coughing

Step-by-step explanation: