7. We learned that in a plane, two lines perpendicular to the same line are parallel. Use the rectangular solid below to explain why the words "in a plane" are needed.
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Answer:

1. point p is on the perpendicular bisector of AB¯¯¯¯¯- given

2. AXP≅BXP. definition of bisector

3. ∠PXA and ∠PXB are right angles. definition of perpendicular

4. ∠PXA≅ ∠PXB. All right angles are congruent.

5.PX¯¯¯¯¯≅PX¯¯¯¯¯ ​ Reflexive Property of Congruence

6.AXP≅AXQ. SAS Congruence Postulate

7.AX¯¯¯¯¯≅BX¯¯¯¯¯

8.Point P is equidistant from the endpoints of AB¯¯¯¯¯. Definition of equidistant

Step-by-step explanation:

Answer:

1. Point P is on the perpendicular bisector of AB¯¯¯¯¯. Given

2.   AX¯¯¯¯¯≅BX¯¯¯¯¯¯ . Definition of bisector

3. ∠PXA and ∠PXB are right angles . Definition of Perpendicular

4. ∠PXA and ∠PXB . All right angles are congruent.

5. ​ PX¯¯¯¯¯≅PX¯¯¯¯¯ ​. Reflexive Property of Congruence

6. △AXP≅△BXP . SAS Congruence Postulate

7. PA¯¯¯¯¯≅PB¯¯¯¯¯ . Corresponding parts of congruent triangles are congruent

8. Point P is equidistant from the endpoints of AB¯¯¯¯¯ . Definition of equidistant

Step-by-step explanation:

Answer:

11.52

Step-by-step explanation:

$12.99 + $15.49 - $40 = 11.52

Answer:

y=7x-19

Step-by-step explanation:

slope equation is y=mx+b

plug in the coordinate

2=7(3)+b

b=-19

Answer:

y=3x-13

Step-by-step explanation:

this is the answer

Answer:

= 10x-15-20z

Step-by-step explanation:

5 x 2=10 add the x to the end

5 x 3=15

5 x 4= 20 add the z to the end

Hope this helps (:

Answer: hey good morning, 12/30 simplified is 2/5 hope this helped :))

Step-by-step explanation:

Answer:

yea

Step-by-step explanation:

Answer:

what are the options

Step-by-step explanation:

geologic features can occur anywhere on earth, these features are formed by the movements of earth's plates.

Answer: the answer is no

Step-by-step explanation:

no, it is not a right triangle

Step-by-step explanation:

39 square+32.5 square=48.5 square

1,521+1056.3=2, 352.3

2577.3=2352.3

it's not the same so the result it no

Answer:

It's proved below

Step-by-step explanation:

We are given;

- K is the midpoint of JL

- M is the midpoint of LN

By definition of mid points, we can say that;

JK = KL and LM = MN

Now, we are given that JK = MN.

Thus, by substitution, we can deduce that; KL = LM

Thus is because JK can be replaced with KL and MN can be replaced with LM.

Thus, it is proved that KL = LM

Answer:

x=− 3/8

​x=−2.667

x=−2

4.3     Solving    3x2+14x+16 = 0 by the Quadratic Formula .

According to the Quadratic Formula,  x  , the solution for   Ax2+Bx+C  = 0  , where  A, B  and  C  are numbers, often called coefficients, is given by :

           - B  ±  √ B2-4AC

 x =   ————————

                     2A

 In our case,  A   =     3

                     B   =    14

                     C   =   16

Accordingly,  B2  -  4AC   =

                    196 - 192 =

                    4

Applying the quadratic formula :

              -14 ± √ 4

  x  =    —————

                   6

Can  √ 4 be simplified ?

Yes!   The prime factorization of  4   is

  2•2  

To be able to remove something from under the radical, there have to be  2  instances of it (because we are taking a square i.e. second root).

√ 4   =  √ 2•2   =

               ±  2 • √ 1   =

               ±  2

So now we are looking at:

          x  =  ( -14 ± 2) / 6

Two real solutions:

x =(-14+√4)/6=(-7+)/3= -2.000

or:

x =(-14-√4)/6=(-7-)/3= -2.667

Hope this helps! Please mark Brainliest!

Answer:

-2 or -8/3

Step-by-step explanation:

It factors as: (3x+8)(x+2)

so x can equal -2 or -8/3

Answer:

If simplifying, then

x^3 -13x^2 -x -49

Step-by-step explanation:

To do this, I would start off with the left side (use PEMDAS)

Use FOIL (First, Outside, Inside, Last)

x^3 + -9x^2 + 6x + -54 - (4x^2 + 7x - 5)

Bring negatives inside parenthesis

x^3 -9x^2 +6x -54 -4x^2 -7x +5

Combine like-terms

x^3 -13x^2 -x -49

(x^2 +6)(x-9)-(4x^2 +7x-5)

x^2 + 6 * x - 9 - 4x^2 - 7x + 5

x^2 + 6x - 9 - 4x^2 - 7x + 5

(x^2 - 4x^2) +(6x - 7x)+(-9 + 5)

(-3x^2)+(-x)+(-4)

=-3x^2 -x - 4

Answer:

B 12.54

Step-by-step explanation:

10.99 times 0.15 equals 1.55

10.99 + 1.55 = 12.54

Answer:

$10.99 + 15% = $12.63

Step-by-step explanation:

Answer:

y = -[tex]\frac{1}{2}[/tex]x + 5

Step-by-step explanation:

A perpendicular line is the negative reciprocal of the original, it doesn't matter what the y intercept is.

Answer:

B

Step-by-step explanation:

Answer:

37 lies between two perfect squares, 36 and 49.

Step-by-step explanation:

Answer:

18 and 19

Step-by-step explanation:

2n= 37-1

n= 36/2 = 18 :)

Options B, C, D, and E have a unit price for bagels that is greater than the unit price Caleb pald because all their unit prices are higher then what Caleb paid.

Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in mathematics and science.

unit price of something is price of 1 thing.

LEts suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.

Given that Caleb paid $4.50 for 12 bagels.

Unit price = 4.50 / 12 = 0.375

A) $2.25 for 6 bagols

Unit price = 2.25 / 6 = 0.375

B) $13.50 for 10 bagels

Unit price = 13.50 / 10= 1.35

c) $3.30 for 6 bagols

Unit price = 3.30 / 6 = 0.55

D) $5.00 for 12 bagets

Unit price = 5.00 / 12 = 0.41

E) $8.10 for 18 bagels

Unit price = 8.10 / 18 = 0.45

Hence, Options B, C, D, and E have a unit price for bagels that is greater than the unit price Caleb pald because all their unit prices are higher then what Caleb paid.

Learn more about unit price here:

https://brainly.com/question/945712

#SPJ2

Answer:

A. $539.93

Step-by-step explanation:

Calculator

Answer:

a. 539.93

Step-by-step explanation:

UsaTestPrep Im smart

Answer:

10 is the answer. 1:50 is 10:500 simplified

Step-by-step explanation:

500÷50=10.

Answer:

18

Step-by-step explanation:

Look at all factors of 9 that are even; 18, 36,  54, 72, 90

Next divide 198 by those numbers and the only whole number is from 18.

9 x 2 = 18

198/18 = 11

Answer:

80,000+6,000+500+3

Step-by-step explanation:

Decode it

Answer:

eighty- six thousand five-hundred and three

Step-by-step explanation:

Answer:

y=-5x-7

Step-by-step explanation:

5x-4y=28

-4y=-5x+28

y=-5x-7

Answer:

B is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

x = 20

Step-by-step explanation:

Let's look at the first parallel lines (the ones with one arrow).

Because both these lines are parallel, we can say that (3x + 2) and (4x - 18) are equal due to the alternate interior angles theorem.

So we have to make both of these expression equal to each other, and then solve:

3x + 2 = 4x - 18

-x = - 20

x = 20            < --- this is your answer

Hope this helps!

Answer:

The transformation of the parent function is shown in blue. It is a shift down (or vertical translation down) of 1 unit. A reflection on the x-axis is made on a function by multiplying the parent function by a negative.

Step-by-step explanation:

Question:

Which description could be written as a linear function?

Answer:

Option a)

Explanation:

Let 2 numbers be x1 and x2.

For the first option:

Eight more than twice a number.

The graph would be y = 8 + 2x1 which is a linear function.

For the second option:

Three more than the product of two numbers.

The graph would be y = 3 + x1x2 which is a graph function.

For the third option:

Ten more than the square of a number.

The graph would be y = 9 + (x1)² which is a graph function.

For the fourth option:

Nine more than one divided by a number.

The graph would be y = 9 + 1/x1 which is a double-parabole function.

Hopefully this answer will help you.

Answer: option a

Step-by-step explanation:

Just took the test

Answer:

$5.76 should be the answer as 14.4 divided by 2.50 gets the answer.

Step-by-step explanation: