Mathematics High School

Given that ∠3≅∠5 .

Which theorem proves that d∥e?

alternate exterior angles theorem

converse of the alternate interior angles theorem

converse of the alternate exterior angles theorem

alternate interior angles theorem

Answers

Answer 1

alternate interior angles theorem

Answer 2

By alternate interior angles theorem ∠3≅∠5, d║e. Therefore, option D is the correct answer.

From the given figure ∠3≅∠5.

What are alternate angles?

The alternate exterior angle theorem states that if two lines are parallel and are intersected by a transversal, then the alternate exterior angles are considered as congruent angles or angles of equal measure.

From the given figure, 46° + ∠3 =180°

⇒ ∠3 =134°

∠3 = ∠5 =134° (alternate interior angles)

By alternate interior angles theorem ∠3≅∠5, d║e. Therefore, option D is the correct answer.

To learn more about the alternate interior angles visit:

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Related Questions

What coordinates do I plot at

Answers

Answer:

Step-by-step explanation:

y - 10 = -2(x - 10)

y - 10 = -2x + 20

y = -2x + 20 + 10

y = -2x + 30

When x = 0 ; y = 0 + 30 = 30 ; (0,30)

When x = 10 ; y = -2*10 + 30 = -20 +30 = 10 ; (10 , 10)

When x = 5 ; y = -2*5 + 30 = -10 + 30 = 20 ; (5 , 20)

Plot ( 0 ,30) ; (10,10) & (5,20)

At the grocery store checkout, you watch at the register as it rings up your purchases and coupons. The prices are as follows:$2.95 $1.19 $4.61 $1.74 $3.04 $8.83 $1.16 − $0.75 (coupon) − $1.00 (coupon) The register gives your total bill as $21.77.

Answers

Answer:

0 is the best answer 12345

what multiplication fact can you double to find 4 x 7?

Answers

Answer:

2 x 7

Step-by-step explanation:

4 x 7 = 28

Since you want doubled, we have to half to find start.

28/2 = 14

Only solid equation that equals 14 is 2 x 7

And since 4 is a double of 2, the answer checks out

The multiplication fact that can be doubled to find 4 x 7 is

2 x 7.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

4 x 7 = 28

Now,

The multiplication of 2 x 7 = 14.

If 2 x 7 is double we get,

2 x (2 x 7) = 2 x 14 = 28

Thus,

The multiplication fact is 2 x 7.

Learn more about expressions here:

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Consider the line y=3x-3 .
Find the equation of the line that is parallel to this line and passes through the point(7, 4) .

Find the equation of the line that is perpendicular to this line and passes through the point (7, 4).

Answers

Answer:

4.7

Step-by-step explanation:

Sweet Treats Bakery sells gourmet cookies. If three gourmet cookies cost $7.95, then
how much will it cost to buy 10 cookies?

Answers

Answer:

$26.50

Step-by-step explanation:

7.95/3=2.65

2.65*10=26.5

Answer:

$26.50

Step-by-step explanation:

If 3 cookies are 7.95, we can do 7.95/3 to find the cost of 1 cookie.

1 cookie is 7.95/3 = 2.65.

Now, we can find the cost of 10 cookies by simply multiplying 10 to the cost of 1 cookie, which is 2.65*10 = 26.5.

10 cookies will cost $26.50.

In a muncipality ,Two of the most well-known activities for teenagers are biking and motorcycling riding.Out of 100 teenagers,58 in biking,42 like motorcycling and 18 like both

a.create a veen diagram represent the problem

Answers

Answer:

See below

Step-by-step explanation:

Given:

Total number is 100Biking = 58Motorcycling = 42Both = 18

Biking only:

58 - 18 = 40

Motorcycling only:

42 - 18 = 24

Neither:

100 - (40 + 18 + 24) = 18

Venn diagram consists of:

Biking | Both (Intersection) | Motorcycling | Neither (outside of circles)

40 18 24 18

Is the relation a function? Explain

Answers

Answer:

No, does not pass the vertical line test

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

A function is a relation in which that one x-value (input) is related to exactly one y-value (output). For relations shown on graphs, we can use the vertical line test.

Since the line would intercept at 2 points in the graph at one point, it is not a function.

Hope this helps.

Thirty-six of 80 marbles are blue. What percent of the marbles are blue?

Answers

Answer:

45%

Step-by-step explanation:

The fraction of marbles that are blue is 36/80 = 9/20. To make that a percentage, multiply it by 100%.

9/20 × 100% = 45%

45% of the 80 marbles are blue.

whats the GCF of 77 and 55

Answers

Answer:

GCF= 11

Step-by-step explanation:

State what additional information is required in order to know that the triangles are congruent for the reason given. If possible, write the triangle congruence statement.

refer to attachment

Answers

ASA stands for "angle, side, angle" and means that we have two triangles where we know two angles and the included side are equal. If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

Simplify the expression: 5+2a - (9+a)

Answers

Answer:

a - 4

Step-by-step explanation:

[tex]5+2a-(9+a)\\5+2a-9-a\\a-4[/tex]

Daphne gave away 3 more than half of her apples. she gave awya 17 apple in all. How many apples did Daphne have originally?

Answers

Answer:

Step-by-step explanation:

Grogg draws triangle ABC. Side BC is 4 inches shorter than side AB. and side AC is 6 inches longer than side BC. The perimeter of the triangle is 31 inches. What is the length of side AB?

Answers

Answer:

AB = 11

Step-by-step explanation:

AB = x

BC = x - 4

AC = 6 + BC Substitute BC

AC = 6 + (x - 4)

AC = 2 + x

The perimeter of the triangle is 31

Perimeter = AB + BC + AC perimeter is the sum of the sides

31 = (x )+ (x - 4 ) + (2 + x)

31 = 3x - 2

33 = 3x

11 = x

AB = x = 11 inches

Check:

AB = x ; AB = 11

BC = x - 4; BC = 11 - 4; BC = 7

AC = 2 + x; AC = 2 + 11; AC = 13

P = 11 + 7 + 13

= 31

go ahed and try im confuesd

Answers

Answer:

a and c and e

Step-by-step explanation:

Answer: I believe its proportional

Step-by-step explanation:

Give the simplified radical form for each side length requested.

Pls answer only if you can explain and if your sure it’s the right answer.

I need help in understanding how to work it myself so please make sure you explain well.

Answers

Answer:

See below

Step-by-step explanation:

30×60×90 right triangle has side ratios as:

s : l : h = 1 : √3 : 2, where s- short leg, l - long leg, h - hypotenuse

45×45×90 right triangle has side ratios as:

l : l : h = 1 : 1 : √2, where l- legs, h- hypotenuse

If you know one of the sides its easy to find the missing ones.

a) 30×60×90 right triangle

Given l = 12s : 12 : h = 1 : √3 : 2CB = s = 12 / √3 = 12√3/3 = 4√3 AB = h = 2s = 2*4√3 = 8√3

b) 45×45×90 right triangle

Given l = √22BC = l = √22AB = l√2 = √22×√2= √44 = 2√11

c) 30×60×90 right triangle

Given h = 20√6s : l : 20√6 = 1 : √3 : 2BC = s = h/2 = 20√6/2 = 10√6AC = l = s√3 = 10√6×√3 = 10√18 = 10×3√2 = 30√2

plz help me fast Simplify t12/t6

Answers

Answer:

t^6

Step-by-step explanation:

when dividing exponents, you subtract (refer to exponent rule)

t^12 - t^6 = t^6

does the height of the shooter affect the number of goals scored in a netball match

Answers

It’s possible for a taller person to make a shot in the net then a short person because it will depend on they height.

9,654 rounded to the thousands place

Answers

The answer to this question is 10000

Answer:

10,000

Step-by-step explanation:

So 9 is the thousands place.

To round you just gotta see if 5 or up or 4 or down.

so it’s 5 or up so we add 1

so 10,000

Slope of a line pls answer

Answers

Answer:

[tex]m = - \frac{1}{2}[/tex]

Step-by-step explanation:

hope this helps!

How are slope and derivatives related.

Answers

Answer: When you plug in an x-value into a function's derivative, the y-values you get back FROM THE DERIVATIVE tell you the slope of a tangent line to the original function at that value of x.

Step-by-step explanation:

12x+3=6 4x+1=2
what is happening in this step of the equation solving process?

Answers

Step-by-step explanation:

12x=6-3

12x=3

12x/12=3/12

x=1/4

4x+1=2

4x=2-1

4x=1

4x/4=14

x=1/4

I you have great day

Find the slope of the line graphed below. 21 points!

Answers

The answer is 3/2
3 units up and 2 units to the left that is the slope

Answer:

The answer is 1.5

Step-by-step explanation

First you want to find the rise. This is the amount of height between the two points (Y) and divide them over the run. This is amount of distance (X) between the points. This will be 6/4. Divide this and you have your answer!

What is an equation of the line that passes through the points (-4, 2) and (-8, -3)

Answers

Answer:

a line through (-4,2) and (-8,-3) has slope = (2+3)/(-4+8) = 5/4 = (y-2)/(x+4)

cross multiply

5x +20 = 4y-8

5x -4y =-28

Step-by-step explanation:

Evaluate the equation. d - 4.12 = 12.8
A) d = 8.58
B) d = 8.68
C) d = 16.92
D) d = 17.02

Answers

The answer is (C)d=16.92

Answer: i think its D

Step-by-step explanation:

Ryan made a $3000 down payment on a car. The total cost of the car was $7500. He made 36 equal monthly payments to pay the car in full. How much did Ryan pay per month?

Answers

Answer:

$125 per month

Step-by-step explanation:

Can someone explain or help me with this?

Answers

Answer:

Step-by-step explanation:

6085 rounded to the nearest hundred is 6100

51,672 rounded to the nearest ten thousand is 50,000

Thomas wants to buy a new TV for
$899. The city tax is 7%. What will
his final price be after tax is added?

Answers

The final price will be $951.93

Step by step explanation:

%7 of 899 is 62.93.

889 + 62.93 = 951.93

Hope this helps!! :)

Answer:

$961.93

Step-by-step explanation:

7% can also be written as .07. If you multiply .07 by 899 you get 62.93. This is the tax. If you add that to 899 you get 961.93.

7. E(5, 4), F(8, 1) what is the slope of the line

Answers

Answer:

-1

Step-by-step explanation:

m = y2 - y1 / x2 - x1

= 1 - 4 / 8 - 5

= -3 / 3

= -1

(2x-1) (x+3)
Expand

Answers

Answer:

2x^2+5x-3

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Is cell replication the same thing as DNA replication? Or are they two separate things

Answers

Answer:

Conservative. Replication produces one helix made entirely of old DNA and one helix made entirely of new DNA.

Semi-conservative. Replication produces two helices that contain one old and one new DNA strand.

Dispersive.

Step-by-step explanation:

Replication is the process by which a double-stranded DNA molecule is copied to produce two identical DNA molecules. DNA replication is one of the most basic processes that occurs within a cell.

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Given that ∠3≅∠5 . Which theorem proves that d∥e? alternate exterior angles theorem converse of the alternate interior angles theorem converse of the alternate exterior angles theorem alternate interior angles theorem

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Given that ∠3≅∠5 .

Which theorem proves that d∥e?

alternate exterior angles theorem

converse of the alternate interior angles theorem

converse of the alternate exterior angles theorem

alternate interior angles theorem