Perpendicular Bisector Theorem

Perpendicular Bisector Theorem

Answers

Answer 1

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 ☔


Related Questions



Use properties of addition to find each sum mentally. Show
your steps and identify the properties that you used.
1. 9 + 6 + 31 =

Answers

9 + 6 = 15
15 + 31 = 46

added 9 and 6 to get 15, then added 15 and 31 to get 46.

write an equation of the line with a slope of -8 and a y-intercept of 2

Answers

Answer:

y=−2x+8

Step-by-step explanation:

https://socratic.org/questions/how-do-you-write-an-equation-of-a-line-with-slope-2-y-intercept-8

Can please help me simplify this please


3/8

6/15

Answers

3/8 -> 3/8 (it is fully simplified)

6/15 -> 2/5 (dividing the top and the bottom by 3)

Have a nice day!

     If this is not what you are looking for - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

hello! someone please answer this. this is due tomorrow, Monday and I don't get any of it. ty!​

Answers

You want to combine like terms :). This means the terms that are the same will be added or subtracted depending on their sign at the beginning.
1) x^2 +x+3-4x
Rearrange first to put like terms together

X^2 +x-4x +3

Your answer to a would be…
x^2 -3x+3
Lmk if you would like me to do another problem for extra practice!
Hope that helps!

y=−4x−3 y=−2x+1 ​ ( Ignore this part i had to write it)

Answers

Answer:

Solve equation [2] for the variable y

[2] y = -2x + 1

// Plug this in for variable y in equation [1]

[1] (-2x+1) + 4x = -3

[1] 2x = -4

// Solve equation [1] for the variable x

[1] 2x = - 4

[1] x = - 2

// By now we know this much :

y = -2x+1

x = -2

// Use the x value to solve for y

y = -2(-2)+1 = 5

Solution :

{y,x} = {5,-2}

What is the coefficient of the first term in this expression?
4r+q3r2+8q2r

Answers

Answer:

4

Step-by-step explanation:

Question 9 of 20
Which of the following is a polynomial?
A. 11x
B. 2x2 - X
C. 3x2 +6x
D. 1-5x2
X

Answers

Answer:

3x2+6x is a polynomial. Polynomials are algebraic expressions in which the variables have only non-negative integer powers. For example,: 5x2 - x + 1 is a polynomial.

Dan Dayle started a business by issuing an $85,000 face-value note to First State Bank on January 1, Year 1. The note had an 7 percent annual rate of interest and a five-year term. Payments of $20,731 are to be made each December 31 for five years. What is the principal balance on January 1, Year 2?

Answers

58,319 is the answer lol

For the function: f(x) = 3x^2 +5x – 8, find and simplify

A. f(x) - f(a) divided by x-a

b.f(x +h) - f(x) all divided by h

Answers

Answer:

[tex]f(x) = 3 {x}^{2} + 5x - 8[/tex]

[tex]f(x + h) = 3 ({x + h})^{2} + 5(x + h) \\ = {3x}^{2} + {3h}^{2} + 6xh + 5x + 5h - 8 \\ [/tex]

answer will be 6x+5

Find the measure of the exterior angle.
(5x+2)
6x
90

Answers

y = 138

Step-by-step explanation:

6x + 5x +2 = 90°

11x = 90 - 2

11x = 88

x = 8

5x + 2 + y = 180

5(8) + 2 + y = 180

40 + 2 + y =180

42 + y = 180

180 - 42 = y

y = 138

This morning, the owner of Sam's Spaghetti House withdrew $180 from the restaurant's bank account to pay for an oven repair. This afternoon, he deposited $430 from lunch sales.
What is the total change in the restaurant's bank account relative to where it started?

Answers

Answer:

he had $250.00 more at the end of lunch

Step-by-step explanation:

2x + 3x/4 = 11
Please solve I am doing it for homework :)

Answers

Answer:

x = 4

Step-by-step explanation:

2x + 3x/4 = 11
x4 x4. = x4
8x + 12x =44
20x = 44
/20 =/20
x = 44/20 = 22/10

In the xy-coordinate plane shown, line L passes through point C and has a slope of -2. A dilation of line L with center A and a scale factor of 3 will produce a new through point C’, the image of point C with coordinates

Answers

Answer:

Step-by-step explanation:

Dilation of a line about a point not on the line shifts the line but leaves the slope intact .

New line slope will be -2

As both A and C lie on a horizontal line y = 2, C' will also lie on the same line

The distance between A and C is 0 - 2 = -2

a scale factor of 3 means C' is -2(3) = -6 units left of A

C' = (2 - 6, 2) = (-4. 2)

evaluate 102 what is the answer

Answers

Answer:

10404

Step-by-step explanation:

2. If a= 2, b= 3 and c= 3,evaluate: i) a+ 2b ii) a+b+c​

Answers

Answer:

[tex]i)a + 2b = 2 + 2(3) = 2 + 6 = 8 \\ ii)a + b + c = 2 + 3 + 3 = 2 + 6 = 8[/tex]

Answer:

a = 2, b = 3 and c = 3

i.)

a + 2b

2 + 2(3) = 2 + 6 = 8

ii.)

a + b + c

2 + 3 + 3 = 8

Thus, The answer of i.) is 8 and ii.) is 8

-TheUnknownScientist 72

HELPPPP THSI IS THE ONEEE HELP HELP

Answers

Answer:

the answer is 9 b 3 1 5 ghhj

Answer:

Step-by-step explanation:

Volume of a cube =side³

                        [tex]=(\dfrac{1}{5}b^{3})^{3}\\\\\\=(\dfrac{1}{5})^{3}*b^{3*3}\\\\ = \dfrac{1}{125}b^{9}[/tex]

                         

Maria is recording the percentages she earned on each quiz in her math class. Here are her results for the last 7 quizzes.
59, 61, 83, 67, 81, 80, 81
Find the range of the data set.

Answers

22 because you take the smallest and largest number and subtract them so you do 81-59=22

Use the given conditions to write an equation for the line in slope-intercept form.



Passing through (5, 3) and (4, 6)

Answers

Answer:

y=-3x+18

Step-by-step explanation:

since they gave us two points, we can find the slope: (y_2 - y_1)/(x_2 - x_1) -> (6-3)/(4-5)=(3)/(-1)=-3 so the slope is -3. now we have [tex]y=-3x+b[/tex]. next we have to find b. to do this just plug a point into the equation: 3= -3*5 +b, 3=-15+b, b=18. so now we have y=-3x+18

Evaluate the equation 15d = -105

Answers

Answer:

Step-by-step explanation:

    15d = -105

15d/15 = -105/15

        d = -7

15d = -105

d = -105/15

d = -7

____

RainbowSalt2222 ☔

According to Allyson's half marathon training
schedule, she needs to run at least 23 miles this
week. So far, she ran 19 miles this week. Write an
inequality to describe the situation

Answers

Answer: 19 + r = 23

Step-by-step explanation:

r = 4

19 + 4 = 23

What value of x satisfies the equation 1/2 x-5(x-1/3)=5/4 x+3

Answers

Answer:

this is the answer....

Answer:

x - (5 -sqrt149 ) / 4  and x-  (sqrt149+5)/4   = = x - -4.3016389  and x - 4.3016389

Step-by-step explanation:

1/2 x-5(x-1/3)=5/4 x+3 = ( 1/2x^2-5x -1/6x -5/3)  = (5/4x+3)  = ( 1/2x^2-6 5/6)  = (5/4x+3)  convert 5/4 to  12ths = *3 =  15/12  and 5/6 * 2 = 10/12 =  ( 1/2x^2-6 10/12)  = (15/12x+3)  = 1/2 x^2 - 15/12x -6 10/12 - 3 = 0   = 1/2 x^2 - 15/12x -3 10/12 = 0 then multiply by 2 to make 1/2 whole 1/2 x^2  (2)- 15/12x (2) -3 10/12 (2) = 0 =  x^2 - 30 /12x -6 20/12 (2) = 0  simplify irregular fraction  x^2 - 2 2/4x  -7 3/4  = 0  then do the abc quadratic formula = x - (5 -sqrt149 ) / 4  and x-  (sqrt149+5)/4   =  x-  -17.2065556/4   = x - -4.3016389    and 17.2065556/4 =x - 4.3016389

*HIGH SCHOOL* please help me with this

Answers

Answer:

Not quite in proof format but here's a short explaination. You should be able to fill out the table yourself.

It is given that <T=<Y and <V+<U=180 degrees

<T=<Y are corresponding angles. Corresponding angles are congruent when the two lines (that the third line crosses to make a transversal) are parallel. So, l1 and l2 are parallel.

<V+<U are supplementary angles. They are same side interior angles. Same side interior angles are supplementary when two lines of the transversal are parallel (basically same thing as above, just different type of angle). So, l3 and l4 are parallel.

<R=<U because they are alternate interior angles. Alternate interior angles are congruent when the two lines are parallel (you have proved that l3 and l4 are parallel above).

<P=<C because they are alternate exterior angles. Alternate exterior angles are congruent when the two lines are parellel (you have proved that l1 and l2 are parallel above).

simplify i^29 GIVE ME ANSER

Answers

Answer:

Simplify the expression using the definition of an imaginary number  

i=√-i

iStep-by-step explanation:

Example #1: The ratio of the length to width in a rectangle is 2:7. If the length of the rectangle is 11cm,
what is the width of the rectangle?

Answers

Answer:

37.5cm sifjueikksksoowi

Answer:

38.5 = width

Step-by-step explanation:

23/24 as a decimal rounded to the nearest hundredth

Answers

Answer:

95.80

Step-by-step explanation:

hope I helped BESTIEE

Answer:

Step-by-step explanation:

23/24 as a decimal is 0.95833333333333.

please help me!!! I'll give you 40 points.
construct the bisector of the following figures​

Answers

Answer:

divide the given line into halves

Baker leaves his house and drives 10 miles north then 24 miles west to Tellus Science Museum. If
Baker could drive in a straight line from his house to the museum, how many miles would he save?
How many miles is the normal route?
How many miles is the straight line?
How many miles would Baker save? (Hint: subtract the two.)

Answers

Answer:

34

26

8

Step-by-step explanation:

 

please solve thank you​

Answers

Answer: probably A

Step-by-step explanation:

what is the simplest from of the ratio 40:16 ?

Answers

Answer:

5 : 2

Step-by-step explanation:

40:16

Divide each side by 8

40/8:16/8

5 : 2

Answer:

5 :2

Step-by-step explanation:

40 : 16

= 40/16

= 4*10 / 4*4

= 10/4

= 5*2 / 2*2

=5/2

HELP. the staircase at the lighthouse tower has between 80 and 90 steps. if matt goes 2 steps at a time then 1 step is left at the end. If he goes 3 steps at a time then 2 steps are left. If he goes 4 steps at a time then 3 steps are left. How many steps are in the staircase?

Answers

Answer:

90

Step-by-step explanation:

start from the beginning, then if you go 2 steps at a time, then you have 1 step left over at the end, let's assume the length of the stair case is x, so then we will be going up 2/3x steps, and have 1/3 x steps left.

2/3 x = somewhere between 80 and 90, so that means it must be divisible by 3, so 81,84,87,90

3/5 x ==> only 90

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