The distance between -32 and
13

Answers

Answer 1

Answer:

Answer: To find the distance between -32 and 13, we need to calculate the absolute difference between the two numbers.

The absolute difference is the positive value of the subtraction of one number from another. In this case, we subtract -32 from 13.

13 - (-32) = 13 + 32 = 45.

Therefore, the distance between -32 and 13 is 45 units.

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the figure below shows segments ac and ef which intersect at point b. segment af is parallel to segment ec: which of these facts is used to prove that triangle abf is similar to triangle cbe? angle fab is equal to angle ceb because corresponding angles are congruent. angle abf is congruent to angle ceb because vertically opposite angles are congruent. angle afb is congruent to angle ceb because alternate interior angles are congruent. angle afb is congruent to angle ceb because supplementary angles are congruent. i chose b, but i'm not positive it is the answer. can anyone give some clarification?

Answers

Answer: Angle AFB is congruent to angle CEB because alternate interior angles are congruent.

Step-by-step explanation:

Given: $fa\parallel ec$ ,

And, ac and ef are intersecting each other at point b.

Prove: Triangle abf is similar to triangle cbe

Since, $\angle abf \cong \angle cbe$ (Reflexive)

$fa\parallel ec$ ,

⇒ ef is the common transversal of parallel lines fa and ec.

$\angle afb \cong \angle ceb$ (Because Alternative interior angles are congruent)

Thus, By AA similarity postulate,

$\triangle abf\sim \triangle cbe$

angle A = angle Cangle F = angle Ebecause of some line through parallel lines postulate

38 plus what equals 180

Answers

38 plus 142 is equal to 180

4(x+1)-ax=x+5 solve for x

Answers

4(x + 1) - ax = x + 5
4(x) + 4(1) - ax = x + 5
4x + 4 - ax = x + 5
- x - x
3x + 4 - ax = 5
- 4 - 4
3x - ax = 1
x(3) - x(a) = 1
x(3 - a) = 1
3 - a 3 - a
x = 1/(3 - a)

$4(x+1)-ax=x+5$

$4x+4-ax=x+5$ $Expand$

$4x-ax=x+5-4$    $Subtract \ 4 \ from \ both \ sides$

$4x-ax=x+1$

$4x=x+1+ax$    $Add \ ax \ to \ both \ sides$

$4x-x=1+ax$    $Subtract \ x \ from \ both \ sides$

$3x=1+ax$

$3x-ax=1$ $Subtract \ ax \ from \ both \ sides$

$x(3-a)=1$

$x= (1)/(3-a)$

Two neighbors both have rectangular swimming pools in thir backyards. one neighbors pool has dimensions that are twice as great as the dimensions of the others pool. What is the ratio of the volumes of the two poolsa) 1:1
b) 2:1
c) 4:1
d) 8:1
e) 16:1

Answers

It would be b) 2:1 (:

How do you rename each additive inverse without parentheses
-(2x+7)

Answers

-2x+7 or -2x-7or anything else idk

A store purchased a DVD for $12 and sold it to a costumer for 50% more than the purchase price. The customer was charged a 7% sales tax when the DVD was sold. What was the customer's total cost for the DVD