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A perpendicular bisector of a line segment is a line which divides the line segment into two equal parts. So here, PS = PQ

=》 PS = 3a

=》 PQ = a + 16

PS = PQ

3a = a + 16

3a - a = 16

2a = 16

a = 16/2

a = 8.

_______

RainbowSalt2222 ☔

Answer:

See below

Step-by-step explanation:

1. A

2. F

3. G

4. I

Answer:

262.25 $

Step-by-step explanation:

Check the picture below.

[tex]\textit{volume of a pyramid}\\ V = \cfrac{Bh}{3}~~ \begin{cases} B = \stackrel{\textit{area of its base}}{50\times 50}\\ h = \stackrel{\textit{its height}}{60} \end{cases}\qquad \implies V = \cfrac{50\cdot 50\cdot 60}{3}\implies \boxed{V= 50000}[/tex]

Answer:

Yes 1.25 is closer to 1.04

Step-by-step explanation:

Hope this helps!

Answer:

1.25 is not closer to 1.04 because it's like, 1 dollar and 4 cents; compared to 1 dollar and 25 cents. Obviously 25 cents is more than 4 cents.

1.25 rounded:

1.30

1.04 rounded:

1.00

Answer:

y < 3/4 x

(We don't put another number at the end, if the y-intercept is 0, btw.)

Step-by-step explanation:

We know that the line has a positive slope, because it's going upwards to the right.

(We can use rise/run to determine the exact slope: Just go up 3 units and to the right 4 units, starting from the first point. Now we know the slope is 3/4).

Further more we know that the y-intercept is 0, because that's the point in which the line crosses the y-axis.

We also know that since the line is dotted, the sign will be either < or >.

And the shaded area below indictes that y is lesser than, meaning we use this sign <.

Hope this helps you :)

Answer:

C. 128 cm³

Step-by-step explanation:

16(20) = 320

320/2.5 = 128 cm³

Answer:

Dina took 12/8 = 3/2 hrs

So, if Masha's speed was x

3/2 x = 12-3

x = 6 mi/hr

Answer:

Step-by-step explanation:

Dina finished in a time of

12 mi / 10 mi/hr = 1.2 hr  

Masha's speed is (12 - 4 mi) / 1.2 hr = 6⅔ mph

Answer:

24

Step-by-step explanation:

Answer:

24 in the answer

Step-by-step explanation:

Answer:

the sum of 4 numbers is 160

Step-by-step explanation:

Let 4 numbers be a, b, c, d

Mean of those 4 numbers is: (a+b+c+d) : 4 = 40

So the sum of 4 numbers is: (a+b+c+d) = 40 x 4 = 160

=> 160 is the sum of 4 numbers

This is Linear graph.

Linear graph is represented in the form of a straight line. ... If the graph of any relation gives a single straight line then it is known as a linear graph. The word "linear" stands for a straight line. The linear graph is a straight line graph that is drawn on a plane connecting the points plotted on x and y coordinates.

- BRAINLIEST answerer

Answer:

Part A: 1 solution

Part B:

3(2x-7)=3

6x-21=3

  +21  +21

6x=24

/6    /6

x=4

X=24

Step-by-step explanation:

First you distribute 3(2x-7)=3 to 6x-21=3. Next you do inverse operations by adding 21 to both sides of the equation to get 6x=24. Finally you divide both sides by 6 to get x=4

Answer:

4.148148149

Step-by-step explanation:

that's the answer

Step-by-step explanation:

2a-1/3 / b/15

[tex](2 \times \frac{ - 3}{5 } ) \div \frac{ - 6.75}{15} \\ = \frac{ - 6}{5} \times \frac{15}{ - 6.75} \\ = \frac{18}{6.75} [/tex]

Answer:

-119

Step-by-step explanation:

Answer:

-8.4

Step-by-step explanation:

-7 x 1.2

Answer: Up to 300 ml because that is all she has in total. I think the question is missing parts.

Step-by-step explanation:

Answer:

8:03

Step-by-step explanation:

time=speedxdistance

t=1/15x3

t=3/15hr

t=.2hr

t=12 mins

plus 15 mins to lock up bike, 27 mins

27 mins before 8:30 is 8:03

pls mark branliest

Answer:

$84.12

Step-by-step explanation:

78.99 x 0.065 = 5.13

78.99 + 5.13 = 84.12

Answer:

1404.81

Step-by-step explanation:

1277.1 +127.71 =  i read it wrong the first time sorry

The total amount paid to harry in past week, is 299.28.

Amount is the sum or the total value.

For example, if A purchase 2 kg rice at the price of 40 rs/kg, the amount will be 40×2= 80 rs.

Given that,

The amount paid to Harry for 1 hour = $8.60

Since, Harry worked for 33 hours,

So, The amount paid to Harry for 33 hours = 8.60×33=283.8

Harry gets half times more amount than hourly rate and also gets bonus for last 3 days

So for last 3 days the extra amount paid to Harry

= 3×1/2×8.60+3×1/10×8.60

= 12.9+2.58

=15.48

So the total amount paid to harry = 283.8+15.48=299.28

To know more about amount on :

https://brainly.com/question/28244711

#SPJ2

Answer:

EF

Step-by-step explanation:

I think the answer is EF because turning the line counterclockwise and 80 degree angle would be that.

Answer:

  68. (-1, 0)

  69. (0, 2)

  70. (2, -1)

Step-by-step explanation:

The solution is the ordered pair (x, y) where the lines intersect. The graphs have no scale, so we must assume 1 grid space corresponds to 1 unit.

The first coordinate of the pair is the horizontal distance from the y-axis. Positive is to the right. The second coordinate of the pair is the vertical distance from the x-axis. Positive is up.

68. The point of intersection is 2 left of the origin on the x-axis. x=-2, y = 0.

  (x, y) = (-2, 0)

__

69. The point of intersection is 2 up from the origin on the y-axis: y = 2, x = 0.

  (x, y) = (0, 2)

__

70. The point of intersection is 2 right and 1 down from the origin: x = 2, y = -1.

  (x, y) = (2, -1)

_____

It is a good idea to learn to read the coordinates of a point from a graph. You will be doing it a lot in your math courses.

Answer:

U(x)= 3+4

Step-by-step explanation:

I simplified this equation into function notation form, then simplified the 12 and 4 with the common factor of 4.

Hope this helped and have a great day,

Ginny

Answer:

14

Step-by-step explanation:

you could solve this three different ways

1. 4*3 is 12  so add 4 = 16

2. 4 squared because 4*4 = 16

3. draw 4 groups of four to get 16

Answer:

True

Step-by-step explanation:

If you divide 180 by 30 you will get 6. then 6 times 5 is 30. If you add 30 to 330 you will get 360. If you take 180 boxes for 30minutes and double. You get 360 boxes in 60minutes. If 5 minutes is 30 boxes. Subtract 30 from 360 and you get 330 in 55 minutes.

Answer:

0.3 miles per hour

Step-by-step explanation:

Speed is distance divided by time so your equation is 45 divided by 150. 45 divided by 60 plus 60 plus 30 = 150 45 divided by 150= 0.3

Answer:

Step-by-step explanation:

30F + 55S = 45(437.5)

30F + 55S = 19687.5

30F = 19687.5 - 55S

F = (19687.5 - 55S) / 30

30((19687.5 - 55S) / 30) + 55S = 19687.5

S = 0 (30%)

F = (19687.5 - 55S) / 30 (55%)

Answer:

5x + 28 = 7x - 4

2x = -32

x = -16

Answer:

Step-by-step explanation:

Let w represent the width of the rectangle in meters. Then (2w-3) is the length. The area is the product of length and width:

  A = LW

  65 = (2w-3)(w)

  2w² -3w -65 = 0

  (2w -13)(w +5) = 0 . . . . . . . factor

  w = 6.5 . . . . . . . . the positive solution

  2(6.5) -3 = 10 . . . the length of the rectangle

The width of the rectangle is 6.5 meters; the length is 10 meters.

Depending on how it is written, it could be either of these following solutions:

f(x) = x/2 - 6     or     f(x) = x/(2-6)

For the first, we solve for x by replacing f(x) with 0

x/2 - 6 = 0

x/2 = 6

x = 3

For the second, do the same

x/(2-6) = 0

x/-4 = 0

x = 0