Given: Line A B intersects Line D E at point C.
Prove: AngleDCB Is-congruent-toAngleECA

Line D E intersects line B A at point C.
A 2-column table with 6 rows. Column 1 is labeled statements with the entries line A B intersects line D E at point C, angle D C B and angle B C E are a linear pair, angle D C B is supplementary to angle B C E, angle B C E and angle E C A are a linear pair, angle B C E is supplementary to angle E C A, angle D C B is-congruent-to angle E C A. Column 2 is labeled reasons with the entries given, definition of linear pair, linear pair post, definition of linear pair, question mark, congruent to supplementary theorem.
What is the missing reason in step 5?

linear pair postulate
given
definition of complementary angles
congruent complements theorem

Answers

Answer 1

Answer:

linear pair postulate

Step-by-step explanation:

Answer 2

The linear pair postulate is the missing step.

What's the meaning of a linear pair of lines?

Linear pair of angles are formed when two lines intersect each other at a single point. The angles are said to be linear if they are adjacent to each other after the intersection of the two lines.

What is a Postulate?

Postulate statement received without evidence. Axiom is any other name for postulate. for instance, if you understand that Pam is 5 feet tall and all her siblings are taller than her, don't trust her if she says that all her siblings are at the least 5 toes tall.

Learn more about the linear pair postulate here: brainly.com/question/19246011

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Related Questions

What's the largest eight-digit base 2 integer? Express your answer in base 10.

Answers

Answer:

[tex]11111111_{2} =255_{10}[/tex]

Step-by-step explanation:

The largest eight-digit base 2 integer is 11111111.

[tex]\begin{array}{rcr}1\times 2^{7} & = & 128\\1\times 2^{6} & = & 64\\1\times 2^{5} & = & 32\\1\times 2^{4} & = & 16\\1\times 2^{3} & = & 8\\1\times 2^{2} & = & 4\\1\times 2^{1} & = & 2\\1\times 2^{0} & = & 1\\\mathbf{11111111_{2}} & = & \mathbf{255_{10}}\\\end{array}[/tex]

Answer:1111111

Step-by-step explanation:

The largest eight-digit base 2 integer is 11111111

PLEASE HELP ME! I BEG YOU! ILL EVEN GIVE BRAINLIEST!! HELP ASAP!!!

Answers

D because u have to look the fraction

What is the slope of the line shown below?
10
(6,2)
10 (-2,-3)
10
10-
O
A.
olm
O
B.
LOCO
O c.
D.
O
100
Helpppppp

Answers

The answer is D, 5/8

This equation has one solution. 3(x – 2) + 4x = 10(x + 1) What is the solution? A.–5 B.–2 C.StartFraction negative 16 Over 3 EndFraction D.StartFraction negative 16 Over 7 EndFraction

Answers

Answer:

-16/3 = x

Step-by-step explanation:

3(x – 2) + 4x = 10(x + 1)

Distribute

3x -6 +4x = 10x+10

Combine like terms

7x-6 = 10x+10

Subtract 7x from each side

-6 = 3x+10

Subtract 10 from each side

-16 = 3x

Divide by 3

-16/3 = 3x/3

-16/3 = x

Answer:

x = -16/3

Step-by-step explanation:

All work is in the image below!

8. Lilly paid $19.16 for a 1kg apple basket. This amount includes a tax of 3%. What was the cost of the apple before tax?

Answers

Answer:

19.75. The apples cost 19.75 before the tax.

Step-by-step explanation:

0.97(x)=19.16

19.75

f(x)=5x−3
f(5) = ???

Answers

Answer:

22

Step-by-step explanation:

5(5) -3

25-3

22

Answer:

the answer is 22.

Step-by-step explanation:

4x (2x® - 7x2 + x)
O 8x4 - 28x3+4x2
o 16x - 7x2 +4x
o 8x4 - 7x2 + x
o 16x4 - 3x3+4x2

Answers

Answer:

8x^4 - 28x^3 + 4x^2.

Step-by-step explanation:

4x(2x^3 - 7x^2  + x)

= 4 * 2x^3 + 4x*-7x^2 + 4x*x

= 8x^4 - 28x^3 + 4x^2.

Answer:

8[tex]x^{4}[/tex]-28x³+4x²

Step-by-step explanation:

4x(2x³-7x²+x)=

8[tex]x^{4}[/tex]-28x³+4x²

2x³ × 4x = 8[tex]x^{4}[/tex]

7x² × 4x = 28x³

x × 4x = 4x²

pls help i give brainliest and 5 stars​

Answers

Answer:

r = 9 m

Step-by-step explanation:

The volume of a sphere is defined as:

[tex]V = \frac43 \pi r^3\\[/tex]

if this is equal to 972π, then r³ = 972 * 3/4

so r = ∛729 = 9

Answer:

The radius of sphere is 9m.

Step-by-step explanation:

Given that the formula of volume of sphere is V = 4/3×π×r³ and it is 972π m³. So you have to substitute the value into the formula, in order to find radius :

[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]

Let V = 972π,

[tex]972\pi = \frac{4}{3} \pi {r}^{3} [/tex]

[tex]972 = \frac{4}{3} {r}^{3} [/tex]

[tex]972 \div \frac{4}{3} = {r}^{3} [/tex]

[tex] {r}^{3} = 729[/tex]

[tex]r = \sqrt[3]{729} [/tex]

[tex]r = 9metres[/tex]

25 POINTS!!!!Which of the following statements are true? Select all that apply.


The product of B and D is negative.

The quotient of A and C is positive.

= A ∙

The quotient of 0 and F is undefined.

A ∙ D = -E ∙ D

Answers

Answer:

then 0 and f have to be positive.

Step-by-step explanation:

Mark me brainlest.

Answer:

Its A and C  and F

Step-by-step explanation:

Inside triangle ABC point O was drawn such that ∠OAB, ∠OBA, ∠OBC, and ∠OCA are all congruent. It is also true that ∠OAC and ∠OCB congruent. Find the angle measures in triangle ABC.

Answers

Answer:

m∠A = 60

m∠B = 60

m∠C = 60

Step-by-step explanation:

Please mark Branilest

30. The box-and-whisker plot shows the average temperatures in Tucson, Arizona in December. (1 point)


Which statement about the temperatures in Tucson must be true?


About half of the days in December had average temperatures above 60 degrees.


About half of the days in December had average temperatures between 52 and 60 degrees.


The coldest day in December was 52 degrees.


The hottest day in December was 65 degrees.

Answers

Answer:

About half of the days in December has average tempetare between 52 and 60 degrees

(SEE THE ATTACHMENT)

Step-by-step explanation:

See the box-and-whisker plot.

Median = 58

1st quartile (which is the median of all value below 58) = 52

2nd quartile (which is the median of all value above 58) = 60

From 1st quartile to median = Almost quarter of the values

From median to 2nd quartile = Almost quarter of the values

From 1st quatile to 2nd quartile = Almost half of the values

So

1st statement is wrong

2nd statement is correct

3rd statement is wrong (Coldest day was 49 degrees)

4rth statement is wrong (Hottest day was 68 degrees)

How many dimensions does a plane have?
Ο Α. Two
O B. Zero
O C. One
O D. Three​

Answers

Answer:

2

Step-by-step explanation:

In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far

How many dimensions does a plane have?

● Α. Two

O B. Zero

O C. One

O D. Three

What is the constant in 15-8y
A 15
B 8
C-8
D -15

Answers

Simplifying
15 + 8y = 15

Add '-15' to each side of the equation.
15 + -15 + 8y = 15 + -15

Combine like terms: 15 + -15 = 0
0 + 8y = 15 + -15
8y = 15 + -15

Combine like terms: 15 + -15 = 0
8y = 0

Solving
8y = 0

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Divide each side by '8'.
y = 0

Simplifying
y = 0

6) Name all factors of x3 – 3x2 – 10x.


A. x

B. x + 5

C. x – 5

D. x + 2

E. x – 2

F. 2

G. 5

H. None of the above


its not on edg

Answers

Answer:

A. x

C. x – 5

D. x + 2

Step-by-step explanation:

From the question above, we are asked to find the factors of an algebraic expression that is given as:

x³ - 3x² - 10x

We would use the step of factorisation

Step 1

x(x² - 3x- 10)

The first factor of the algebraic expression has been obtained = x

Step 2

We factorise x² - 3x - 10

x² +2x - 5x - 10

(x²+2x) - (5x - 10)

x(x + 2) -5(x + 2)

(x + 2)(x - 5)

Step 3

x³ - 3x² - 10x

x(x² - 3x- 10)

(x)(x + 2)(x - 5)

Therefore, the factors of the algebraic expression are:

(x), (x + 2), (x - 5)

Find two numbers that differ by 8 and whose square roots differ by 1. Those two numbers are ___ and ____

Answers

Answer: 12.25 and 20.25

Step-by-step explanation:

20.25 - 12.25 = 8

Square root of 20.25 is 4.5

Square root of 12.25 is 3.5

4.5 - 3.5 = 1

Hope this helped

In the notation "s(x) = ...," what does "s(x)" represent?
A.
The value of x depends on the value of s(x), since xis a function of s.
OB.
There is not enough information to answer this question.
C.
The value found when sis multiplied by the value x.
D.
The value of s(x) depends on the value of x, since s is a function of x.

Answers

Answer:

C

Step-by-step explanation:

I think

Me. Parsons wants to build a new banister for the staircase shown. If the rise of the stairs of a building is 5 feet and the run is 12 feet, what will be the length of the new banister?

I need this to be explained

Answers

This is the answer for your question hope it is help ful

Which statement describes whether a right triangle can be formed using one side length from each of these squares?
Area = 64 in
Area = 225 in
Area = 289 in
Yes, a right triangle can be formed because the sum of the areas of the two smaller squares does not equal the area of
the largest square
Yes, a right triangle can be formed because the sum of the areas of the two smaller squares equals the area of the
largest square
No, a right triangle cannot be formed because the sum of the areas of the two smaller squares does not equal the area
of the largest square.
Save and Exit
Set

Answers

Answer:

Step-by-step explanation:

The area of the given squares are

Area = 64 in

Area = 225 in

Area = 289 in

The length of each side of a square is determined by finding the square root of its area. For the first square, the length of its side is √64 = 8inches. For the second square, the length of its side is √225 = 15inches. For the third square, the length of its side is √289 = 17inches.

For a right angle triangle to be formed, Pythagorean theorem must be obeyed. Sum of the square of the smaller sides must equal the square of the longer side. Therefore,

8² + 15² = 17²

289 = 289

Therefore, the correct statement is

Yes, a right triangle can be formed because the sum of the areas of the two smaller squares equals the area of the largest square

Answer:

B

Step-by-step explanation:

I got this right in edge 2020. Hope this helped! ;)

Colleen is knitting a scarf. For every 45 pieces of blue yarn she uses, she uses 18 pieces of red yard. What equation can be used to represent the proportional relationship between the amount of blue yarn, b, and red yard, r, that Colleen uses when knitting a scarf?

Answers

Answer:

The equation that can be used to represent the proportional relationship between the amount of blue yarn, b, and red yarn, r, that Colleen uses when knitting a scarf is:

b = 2.5 r

or

b = 5r/2

Step-by-step explanation:

In the exercise are given the variables that we must use in the equation: b and r, where b is the amount of blue yarn and r is the amount of the red yarn, now it's just missing the proportion that must be used in the equation, to identify this you only must divide the biggest amount (45) by the smallest amount (18), how I show below:

Proportion = 45/18 = 2.5 or 5/2

Having this, you can make the equation taking into account the proportion:

b = 2.5 r

This equation marks that by each piece of blue yarn, are needed 2.5 pieces of red yarn, we can prove the equation replacing the r-value by 18:

b = 2.5 r b = 2.5 (18) b = 45

How you can see, replacing the r-value by 18, the value given for red yarn, we obtain the value given for the blue yarn: 45.

Answer:

b = 2.5 r

or

b = 5r/2

If a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, then which statement would be true?

The figure must be an isosceles trapezoid because it has 2 congruent base angles.
The figure must be a rectangle because all rectangles have exactly 2 lines of symmetry.
The figure could be a rhombus because the 2 lines of symmetry bisect the angles.
The figure could be a square because the diagonals of a square bisect the right angles.

Answers

Answer:

the figure could be a rhombus because the 2 lines of symmetry bisect the angles

Step-by-step explanation:

Option C is correct. , if a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, the figure could be a rhombus because the 2 lines of symmetry bisect the angles.

Quadrilaterals are figures with four sides and angles. Examples of quadrilateral include:

RectangleSquarerhombus

A line of symmetry is a line that divides a shape such that they become mirror images of each other.

Hence, if a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, from the options, the figure could be a rhombus because the 2 lines of symmetry bisect the angles (divides the angles equally).

Learn more here: https://brainly.com/question/19670823

Which expression is equivalent to 3x + 6y?

Answers

Answer:

3x+6y =0

-6y

3x=-6y

x=-2y

Step-by-step explanation:

Find the value of x in the given figure using properties of parallel lines. answers: A) 35° B) 15° C) 75° D) 105°

Answers

Answer:

x = 75

Step-by-step explanation:

X and 105 are supplementary angles so they add to 180

x+105 = 180

Subtract 105 from each side

x = 180-105

x= 75

A rectangular garden has a length of x + 2 ft. and a width of x + 8 ft. What must x be in order for the garden to have an area of 91 sq. ft.?

Answers

Answer:

x=5

Step-by-step explanation:

5+2=7

5+8=13

13*7=91

Answer: 5 ft

Step-by-step explanation:

Our equation can be (x + 8)(x + 2) = 91. Now we solve:

(x + 8)(x + 2) = 91

x^2 + 2x + 8x + 16 = 91    expand

x^2 + 10x + 16 = 91           simplify

x^2 + 10x - 75 = 0            subtract 91 from both sides

(x + 15)(x - 5) = 0               factor

x + 15 = 0              x - 5 = 0

x [tex]\neq \\[/tex] -15                    x = 5

x can't equal -15 because you cannot have negative feet, so x = 5 feet

Kayla has $45 and wants to buy three shirts that are originally priced at $18 each. They are on sale for 20% off. After applying 5% tax, does Kayla have enough money to purchase the three shirts

Answers

Answer: No, as the total cost of the 3 shirts w/ sales tax is $45.36 and she only has $45.

Step-by-step explanation:

Start by finding the price of one shirt on sale.

[tex]18*0.2[/tex]

This equals 3.6 which is how much will be deducted from the original price.

One shirt costs [tex]18-3.6\\[/tex] when its 20% off.

This is equal to $14.40.

Since she wants to buy 3 of them we just multiply the $14.40 by 3.

[tex]14.4*3=\\[/tex]

This equals $43.2 but this is without a 5% sales tax which is normally added to the total end price.

To add a sales tax you take the sales tax percent plus 1 and multiply it to the $43.2.

[tex]43.2*1.05=\\[/tex]

This means the total price of Kayla's purchase will be $45.36.

This is over her $45 she has so she can not buy it.

Answer: she does not and is over $45.36 (.36) cents over

Step-by-step explanation:

If f(x) = 5x, what is y(x)?

Answers

Answer:

Step-by-step explanation:

y(x) and f(x) are similar in meaning; they both state that the dependent variable is a function of the independent variable x.

f(x) = 5x = y(x).

9x - 3y = -42 and -9x + 8y =22

Answers

Answer:

(-5 1/9, -4)

Step-by-step explanation:

Add the equations

5y=-20

y=-4

-9x+8(-4)=22

-9x-32=22

-9x=46

x= - 5 1/9

please help me find the volume for this triangular prism

Answers

Answer:

140 yd³

Step-by-step explanation:

The volume (V) of the triangular prism is calculated as

V = Ah ( A is the area of the triangular face and h is the depth )

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

   = 0.5 × 5 × 8 = 20 yd² , thus

V = 20  × 7 = 140 yd³

Which took place in 1853?
O The US made the Gadsden Purchase.
The US received payment from Mexico for Texas.
Mexico won the Mexican-American War.
Mexico paid the US for the Mexican Cession.

Answers

The first choice is the correct answer.

Answer:

The answer is a

Step-by-step explanation:

I hoped i helped

Please help me i dont understand this is 15 points

Answers

Answer:

2. y =13x + 143

Step-by-step explanation:

plug in numbers in your calculator; go to stat → edit,then again to stat → calculate →linear reg→ enter and get a and b, round the numbers

a = 13 , b = 143

Find an equation of the line passing through the pair of points. Write the equation in the form Ax+By = C.
(-6,3), (-7, - 7)

Answers

Answer:

-10x + y = 63

Step-by-step explanation:

Let's find the slope of this line.  Going from (-7, -7) to (-6, 3), the "run" is +1 (this is the increase in x) and the "rise" is -10 (y increases by 10).  Thus, the slope, m, is m = rise / run = 10 / 1 = 10.

Using the point-slope version of the equation of a straight line, we get

y + 7 = 10(x + 7)

Performing the multiplication results in

y + 7 = 10x  + 70.

Rearranging these terms in the form Ax + By = C, we get:

-10x + y = 63

Check this by substituting -6 for x and 3 for y:

-10(-6) + 3 = 63     This is TRUE

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