If trianglePTS ~ trianglePQR, find the value of x.

Answer:

1) 25 °

Step-by-step explanation:

Two angles are complementary when the measure of the angles between sum up to 90°;

   Given;

  Angle 1  = a

  Angle 2  = b

        a  = 15 + 2b

 Angle a + Angle b  = 90°  

         15 + 2b + b  = 90

          15 + 3b  = 90

                 3b  = 90 - 15

                 3b  = 75

                    b  = 25°

Answer:  14

Step-by-step explanation:

It seems Line AC bisects that angle so we know that 7x=-3x+20 so to figure out x we solve this equation to get 10x=20 and x=2 from there we input the x into BAC to get m<BAC=14

Answer:

y=-2x+5

Step-by-step explanation:

hope i helped

Answer:

Y=2x+5

Step-by-step explanation:

Move the variable (x) to the right

2y= 10-4x

divide both sides of the equation by 2

y=5-2x

and then reorder the terms

y=-2x+5

:)

yes they are equivalent

Step-by-step explanation: try dividing 198 and 1287 and the same to 2 and 13 you should get the same for both.

Answer:

The third

I think its the third because everyone added to the left is -2 from the right

Answer:

The answer is A becuase the initial value is what y is when x = 0 and if you see the pattern between 10 and 8 and also 8 and 6 you see the rate of change is -2. Just add 2 to y when x = 1 so 10 + 2 is 12 which gives the answer A.

Step-by-step explanation:

Answer:

Minimum value is 18

It occurs at P(6,0)

Step-by-step explanation:

The given objective function is  

The vertices of the feasible region are .

We plug in the vertices in to feasible region and evaluate to obtain,

 P(0,7) = 3(0) + 5(7)

P(0,7) = 0+35

P(0,7) = 35

P(3,7) = 3(3) + 5(7)

P(3,7) = 9+35

P(3,7) = 44

P(6,3) = 3(6) + 5(3)

P(6,3) = 15+15

P(6,3) = 33

P(6,0) = 3(6) + 5(0)

P(6,0) = 18+0

P(6,0) = 18

Answer:

the slope is rhe same -2

Step-by-step explanation:

the slope is the opposite +1/2

Answer:

2nd

Step-by-step explanation:

Answer:

y = 2x - 16

Step-by-step explanation:

Slope-intercept form: y = mx + b

Given:

Slope(m): 2

Point: (5, -6)

To write the equation in slope-intercept form we need to find the slope(m) and the y-intercept(b).

Since we were given the value of the slope, the only thing we have to do is find the y-intercept. To do this, input the values of the slope and the given point into the equation and solve for b:

y = mx + b

-6 = 2(5) + b

-6 = 10 + b

-16 = b

The y-intercept is -16.

Now that we know the slope and the y-intercept, we can write the equation:

y = 2x - 16

Answer:

2/3

Step-by-step explanation:

Answer:

The drama club is charging $22 for a regular gift basket, and $34 for a deluxe gift basket

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Given

f(x) = [tex]\frac{2}{3}[/tex] x + 4 ← substitute x = 9

f(9) = [tex]\frac{2}{3}[/tex] × 9 + 4

     = 2 × 3 + 4

     = 6 + 4

     = 10

Answer:

D

Step-by-step explanation:

The value of the vector (4a + 2b – 9c) as per scaler multiplication of vector method is 8i + 55j.

A vector is a physical quantity that has both magnitude and direction.

A vector that has magnitude of 1 is called unit vector.

Given, a = 8i + 2j, b = –3i + j, and c = 2i – 5j.

In order to find the value of the vector (4a + 2b – 9c) in terms of i and j, we need to perform scaler multiplication of vector.

Here, i and j are unit vectors.

Therefore: (4a + 2b – 9c)

= 4(8i + 2j) + 2(–3i + j) - 9(2i – 5j)

= (32i + 8j - 6i + 2j - 18i + 45j)

= (8i + 55j)

Therefore, Option(D) is correct answer.

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Answer:

Step-by-step explanation:

The area of the floor A = Length * Width

Given

A = 200 square meters

If the length of the floor is 32 m longed than it’s width then;

L = 32+W

A = LW

200 = (32+W)W

200 = 32W + W²

W²+32W-200 = 0

W = -32±√32²+800/2

W = -32±42.71/2

W =  -32+42.71/2

W = 10.71/2

W = 5.35 m

L = 32+5.35

L = 37.35m

Hence the dimension is  5.35ft by 37.35m

Answer:

Slope: -1/4; Y-Intercept: 1.5

Step-by-step explanation:

Step 1: Find the slope. The best way to do this is to transform the two given points to y=mx+b form. When given two points, the best way to find the slope will be to do y2-y1/x2-x1. In this equation it would be -2-0/2+6, which is -2/8, simplified is -0.25 or -1/4. So we have the slope, which can determine the length of the line.

Step 2: Find the Y-Intercept. Finding the Y-intercept is so much simpler when given a graph, since all you have to do is find where the line goes through the y-axis, which in this case is (0,1.5), meaning that the y-intercept is 1.5 (note: the y-intercept can also be found when x=0, for example (0,9).

Hope this helped, good luck!

Answer:

P  = 32

x  = 35

Step-by-step explanation:

For the first diagram,

 The two angles given are corresponding angles. Corresponding angles are equal;

 So;

    the first angle is a right angle triangle;

  90 =  3P - 6

       3P  = 90 + 6

        3P  = 96

          P  = 32

For the second diagram;

The sum of those two angles is 180°

      (x + 75) + 2x = 180

      x + 2x + 75  = 180

          3x + 75  = 180

          3x  = 180 - 75

         3x  = 105

          x  = 35

Answer:

B) 4(6x) and 24x are equivalent.

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Answer:

#3

Step-by-step explanation:

Answer:

2,996 ÷ 11 = 272.36

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

multiply 7 by 3=

7x3=21

Answer:

7^3 x r^3

Step-by-step explanation:

Answer:

2.5m

Step-by-step explanation:

Answer:

L=33in

W=15in

Step-by-step explanation:

Step one:

given

let the width be x

W=x inches

L= 2x+3 inches

perimeter= 96inches

Step two:

Required

the dimensions of the rectangle

The perimeter is

P=2L+2W

96=2(2x+3)+2(x)

open bracket

96=4x+6+2x

collect like terms

96-6=6x

90=6x

divide both sides by 6

x=90/6

x=15 in

The width is 15 in

The length

L=2x+3

L=2(15)+3

L=30+3

L=33in

Answer:

2 (w) + 2(2w + 3) = 96

Step-by-step explanation:

Answer:

Anither way you can write it is (x-5)

Step-by-step explanation:

Answer:

he walked 15 feet in total

Step-by-step explanation:

I'm not sure if u asked a question or not

Answer:

The point in the middle at (0,0) is the origin. The line that goes up and down is the y-axis. The lign that goes left to right is the x axis. The y intercept is at (0,-5). The x intercept is at (6,0).

Step-by-step explanation:

The answer is attached.

The point where the line or curve crosses the axis of the graph is called intercept.

xy-axes:- The x and y-axis are two important lines of the coordinate plane. The x-axis is a horizontal number line and the y-axis is a vertical number line.

xy-intercepts:-

If a point crosses the x-axis, then it is called the x-intercept. If a point crosses the y-axis, then it is called the y-intercept.

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Step-by-step explanation:

7=2 8=12 10=10 11=9

Answer:

√(4) is 2

√(100) is 10

√(144) is 12

√(81) is 9