Consider the proof.
Given: Segment AB is parallel to line DE.
Prove:StartFraction A D Over D C EndFraction = StartFraction B E Over E C EndFraction



What is the missing statement in Step 5?
AC = BC
AC/DC = BC/EC
AD = BE
AD/DC = BE/EC

Consider The Proof.Given: Segment AB Is Parallel To Line DE.Prove:StartFraction A D Over D C EndFraction
Consider The Proof.Given: Segment AB Is Parallel To Line DE.Prove:StartFraction A D Over D C EndFraction

Answers

Answer 1

Answer:

B

Step-by-step explanation:

did it on edge

Answer 2

The missing statement in step 5 is AC/DC = BC/EC by the property of similarity law for triangles option second is correct.

What is the similarity law for triangles?

It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

We have:

Segment AB is parallel to line DE.

AD/DC = BE/EC

As we know similarity law for triangles states that the ratio of the corresponding sides is in the same proportions.

By using the similarity law for triangles:

AC/DC = BC/EC

Thus, the missing statement in step 5 is AC/DC = BC/EC by the property of similarity law for triangles option second is correct.

Learn more about the similarity of triangles here:

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Related Questions

quickly helllllpppp! plz

Answers

Answer:

≈ 8.07 mg

Step-by-step explanation:

Given

f(x) = 12[tex](0.82)^{x}[/tex]

Substitute x = 1 into f(x) , that is

f(2) = 12(0.82)² = 12 ×0.6724 ≈ 8.07 mg

find x GIVING BRAINLYYY

Answers

Answer:

130

Step-by-step explanation:

130 because the angle is obviously obtuse

50 is acute

130 is obtuse

130 is your answer.

130 because it’s the same angle as the one that also says 130

In a game a player wins if he rolls a 6 on a number cube if the number cube is rolled 18 times then what is an reasonable prediction for the number of unsuccsecful rollls

Answers

Answer:

the reasonable prediction for the number of unsuccessful rollls is 15 ÷ 18

Step-by-step explanation:

The computation of the number of unsuccessful rolls is as follow:

For a number cube, the probability of getting 6 would be 1 ÷ 6 and for not getting is 5 ÷ 6

Now for 18 rolls i.e. there is 3 group of 6 so the chance of not getting would be 15 ÷ 18

Hence, the reasonable prediction for the number of unsuccessful rollls is 15 ÷ 18

The same is to be considered

Help me please help me thanks again help me thanks

Answers

Answer:

45

Step-by-step explanation:

Lol the internet has a calculator for thisssss

Match each equation on the left with its simplified version from the choices on the right. Do not solve. (not all the choices will be used.) -2(3x-10)=15 __ A. -6x+2=15 ⅕(30x-10)=15 __ B. 6x-2 = 15 3(2x-10)=15 __ C. 6x+2=15 -⅕(30x-10)=15 __ D. 6x-30 = 15 E. -6x+20=15 F. -6x-20 = 15

Answers

Answer:

E. -6x + 20 = 15

Step-by-step explanation:

Given the expression -2(3x-10)=15, we are to find the equivalent expression;

Open the parenthesis using the distributive law;

-2(3x-10)=15

-2(3x) -2 (-10) = 15

-6x + 20 = 15

Hence the simplified version of the expression is -6x + 20 = 15

4(1.8h-2)8
help me pls:))​

Answers

Answer:

7.2h-2

Step-by-step explanation:

Multiply  

1.8

by  

4

.

7.2

h

2

Bruce wants to find the volume of a sphere given its radius

Answers

Answer:

sphere

Step-by-step explanation:

V=4

3πr3

I need help with thid

Answers

Answer:

10 cm

Step-by-step explanation:

When the solution to the equation 5(x+4)=5x-3? A.x=20 c.there is no solution D.there are infinite solutions...
Update: the answer is there is no solution.

Answers

Answer:

The sides are not equal

Therefore, there is NO SOLUTION.

Step-by-step explanation:

Given the expression

[tex]5\left(x+4\right)=5x-3[/tex]

Expanding

[tex]5x+20=5x-3[/tex]

subtract 20 from both sides

[tex]5x+20-20=5x-3-20[/tex]

[tex]5x=5x-23[/tex]

subtract 5x from both sides

[tex]5x-5x=5x-23-5x[/tex]

[tex]0=-23[/tex]

The sides are not equal

Therefore, there is NO SOLUTION.

An isosceles triangle has two
angles measuring 54.5 and 71.
What is the measure of the
third angle?

Answers

Answer:

x=54.5

Step-by-step explanation:

54.5+71+x=180

125.5+x=180

x=54.5

Aitor purchased his favorite video game for 44.95 at the mall . the sales tax rte max 7.75% what was the total cost aithor paid including sales tax

Answers

Answer:

48.43

Step-by-step explanation:

The total cost Aitor paid including sales tax will be $48.43.

What is the percentage?

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

The Aitor purchased his favorite video game for 44.95 at the mall. The sales tax rate is a max of 7.75%.

Let 'x' be the total cost Aitor paid including sales tax. Then the equation is given as,

7.75 = [(x - 44.95) / 44.95] x 100

0.0775 = (x - 44.95) / 44.95

3.4836 = x - 44.95

x = $48.43

The total cost Aitor paid including sales tax will be $48.43.

More about the percentage link is given below.

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1. If f(x) = -2x 2+ 7, then which of the following is the value of f(-2)?
(1) 1
(3) 15
(2) 23
(4) -1

Answers

Answer:4

Step-by-step explanation:

make a table or values for the equation y=5x+2

Answers

Answer:

Check the image that's annexed to this answer

Step-by-step explanation:

Why was this problem difficult for you?

Consider the diagram. Triangles A B R and R C A share side R A. Angles B A R and A R C are right angles. Sides B R and A C are congruent. Which congruence theorem can be used to prove △ABR ≅ △RCA? HL SSS ASA SAS

Answers

Answer:

a. HL

Step-by-step explanation:

took the test on edge

The congruence theorem that can be used to prove that△ABR ≅ △RCA is; HL

We are told that; △ABR and △RCA share side RA.

From the diagram attached, we can see that RA is the hypotenuse of both triangles.

From reflexive property, RA is congruent to itself. So we have the hypotenuse of both triangles congruent to each other.

Now, we are told that ∠BAR and ∠ARC are right angles. This means they are equal and congruent to each other.

We are also told that sides BR and AC are congruent. Now, from the image attached, we can see that BR and AC are legs of both triangles.

Thus, the corresponding hypotenuse and corresponding legs of both triangles are congruent.

In conclusion, the congruency theorem that can be used is HL (Hypotenuse Leg) Theorem which states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then we can say that both triangles are congruent.

Read more on HL Congruence theorem at; https://brainly.com/question/14053210

Write the letter of rate that matches each ratio. I’ll give brainliest if the answer is Right.

Answers

$7.50 : 3 pounds >>> c

$3.75 : 5 pounds >>> a

$6.00 : 4 pounds >>> d

$13.50 : 6 pounds >>> b

i hope this helps! :D

how do i solve this ????

Answers

Answer:

m1 = 15°

m2= 90°

m3= 66°

Step-by-step explanation:


A 24-ounce can of tomato sauce costs $3.60. What is the cost per ounces?

Answers

.15 cents. You do the money divided by the ounces or weight.

Evaluate 2 + x − 2 ∙ 8 for x = 9.
1. −5
2. 58
3. 72
4. −68

Answers

Answer:

The answer is -5

Step-by-step explanation:

:D

2 x (5+5)
Which of the following describes (5 + 5) in the expression above?

Answers

Answer:

2x times 10 im guessing

Step-by-step explanation:

The recipe calls for 5 cups of strawberries for every 3 cups of whipped cream. Write this comparison as a ratio.

Answers

The ratio would be 5:3

Answer:

5:3

Step-by-step explanation:

hope this helps

A car travels 279 miles in 4 1/2 hours. How many miles would the car travel
in 12 hours? *

Answers

Answer:

744 miles in 12 hours.

Step-by-step explanation:

MATH

If (x + y)^2 = 45 and xy = 10, what is (x - y)^2?

Answers

Answer:

[tex]\binom{x = \sqrt{5}, y = 2\sqrt{5}}{x = -\sqrt{5}, y = -2\sqrt{5}}[/tex]

Step-by-step explanation:

Hope this helped!

factorize 16x^2 - 1\144

Answers

Answer:

(4x+1/12)(4x-1/12)

Step-by-step explanation:

16x²-1/144

(4x)²-(1/12)²

(4x+1/12)(4x-1/12) (since a²-b²=(a+b)(a-b)

The factorized form of expression [tex]16x^2 - \dfrac{1}{144}[/tex] would be, [tex](4x - \dfrac{1}{12} ) (4x + \dfrac{1}{12} )[/tex]

Used the concept of a quadratic equation that states that,

An algebraic equation with the second degree of the variable is called a Quadratic equation.

And, Use the formula,

(a² - b²) = (a - b) (a + b)

Given that a quadratic equation is,

[tex]16x^2 - \dfrac{1}{144}[/tex]

The above expression is written as,

[tex]16x^2 - \dfrac{1}{144}[/tex]

[tex](4x)^2 - (\dfrac{1}{12})^2[/tex]

Apply the formula (a² - b²) = (a - b) (a + b);

[tex]= (4x - \dfrac{1}{12} ) (4x + \dfrac{1}{12} )[/tex]

Therefore, the factors are [tex]= (4x - \dfrac{1}{12} ) (4x + \dfrac{1}{12} )[/tex]

To learn more about the quadratic equation visit:

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I am a number between 60 and 100 my digit is two more than my tens digit I am a prime number what number am I

Answers

Answer:

97

Step-by-step explanation:

x has to be more than 60 and less than 100

the primes between those are 61,67,71,73,79,83, 89, 97

97 is two less in the ones than in the tens so it completes all of the requirements of the riddles therefore, 97 is the answer.

Answer:

It is 79

Step-by-step explanation:

9-7 is 2

Compute this equation when x =6.

Answers

Answer:

208

Step-by-step explanation:

Substitute x = 6 into the expression

[tex]\frac{6^6-16(6^3)+64}{6^3-8}[/tex]

= [tex]\frac{46656-16(216)+64}{216-8}[/tex]

= [tex]\frac{46656-3456+64}{208}[/tex]

= [tex]\frac{43264}{208}[/tex]

= 208

what is y+4=-6(x+6) witten in standard form?

Answers

Answer:

6x + y = -40

General  Formulas and Concepts:

Pre-Algebra

Distributive PropertyEquality Properties

Algebra I

Standard Form: Ax + By = C

Point-Slope Form: y - y₁ = m(x - x₁)  

x₁ - x coordinate y₁ - y coordinate m - slope

Step-by-step explanation:

Step 1: Define

[Point Slope]   y + 4 = -6(x + 6)

Step 2: Rewrite

Find standard form

Distribute -6:                         y + 4 = -6x - 36Add 6x on both sides:          6x + y + 4 = -36Subtract 4 on both sides:    6x + y = -40

please answer i need help :)

Answers

im pretty sure it's -2.

5. Of the 3 times Buddy kisses Jovie while they
gre ice skating he missed once. What is this
number written as a fraction?

Answers

Answer:

2/3 times he kissed her 1/3 times he missed

Step-by-step explanation:

Hit or miss hehe

Two-fifths of the senior class earned a grade of B+ or higher on an advanced mathematics exam.
If 42 seniors scored at least a B+, how many students are in the entire senior class?

Answers

2/5 = 42
1/5 = 21
5/5 = 105

105 students in the class

Answer:

105 students in the class

Step-by-step explanation:

5. Which of the following could represent the side
lengths of a triangle?
Check all that apply.
19, 11, 17
23, 28, 52
34,9, 25
13, 22, 14

Answers

Answer: 19,11,17 and 13,22,14

Step-by-step explanation:

The two smallest numbers (11, 17) added together must be a bigger number than the biggest number (19)...... 11 + 17 = 28

28> 19 :)

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