The figures shows two parallel lines AB and DE cut by the transversals AE and BD::

AB and DE are parallel lines and AE and BD are transversals. The transversals intersect at C. Angle CAB is labeled 1, angle ABC is labeled 2, angle ACB is labeled 3, angle ACE is labeled 4, angle CDE is labeled 6, and angle CED is labeled 5.

Which statement best explains the relationship between Triangle ABC and Triangle EDC ?

Triangle, because m∠3 = m∠6 and m∠1 = m∠4
Triangle ABC is congruent to triangle EDC , because m∠3 = m∠4 and m∠1 = m∠5
Triangle ABC is congruent to triangle EDC , because m∠3 = m∠6 and m∠1 = m∠4
Triangle ABC is similar to triangle EDC , because m∠6 = m∠2 and m∠3 = m∠4

Answers

Answer 1

Answer:

Triangle ABC is similar to triangle EDC because Measure of angle 3 equals measure of angle 4 and Measure of angle 1 equals measure of angle 5

Step-by-step explanation:

Answer 2

Answer:

D)     Triangle ABC is similar to triangle EDC , because m∠6 = m∠2 and m∠3 = m∠4

Step-by-step explanation:

trust me on this one ;)


Related Questions

Jasleen has 6 packs of 8 colored markers to put into party gift bags. She spilts the markers equally among 9 gift bags. What is the minimum amount of markers she can put in each bag?

Answers

Your answer is 252.

I hope this helps.

could someone please help draw this math problem for me ?? i need help!

Answers

Answer:
new angles are both 50 degrees
drawing in picture

Explanation:
an angle bisector is a line or line segment that divides the angle into two equal parts.
I didn’t use a protractor while drawing, but 100 degrees is just a little more than 90 degrees (right angle), so I estimated.

Point hh is located at (4,-2)(4,−2) on the coordinate plane. point hh is reflected over the yy-axis to create point h'h ′ . point h'h ′ is then reflected over the xx-axis to create point h''h ′′ . what ordered pair describes the location of h''?h ′′ ?

Answers

Answer:

(-4,2)

Step-by-step explanation:

Notice that the xx-coordinate and the yy-coordinatechange sign when HH is reflected over the yy-axis and then reflected over the xx-axis.

Answer:

The correct ans is (4,-2)

Step-by-step explanation:

It takes 33 minutes to walk to the pool from her house. If she rides her bike it takes her 1/3 of that time. Natasha leaves her house for the pool at 3:12. If she is riding her bike, what time will she arrive? _:_

Answers

Answer:

Natasha will arrive at 3:23

Step-by-step explanation:

(1/3)*33= 11

3:12+11= 3:23

PLEASE HELP
an artist is constructing a piece of art in the shape of rectangle. The artist wants to use string to tightly tie each vertex of rectangle to the other three vertices. The rectangle is 12.0 feet wide and 7.0 feet long. how much string should the artist use? round your answer to the nearest tenth of a foot


feet of string:

Answers

Answer:

An artist use 51.9 feet of string for constructing a piece of art in the shape of rectangle

Step-by-step explanation:

Here an artist is constructing a piece of art in the shape of rectangle having length 12 feet & width of 7 feet

Since the artist wants to use string to tightly tie each vertex of rectangle to the other three vertices. Hence one string will tie in a diagonal way

Hence total length of string will be

Total length = Perimeter of rectangle  +  length of diagonal

Perimeter of rectangle  = 2( length + width ) = 2 ( 12 + 7 ) = 2 x 19 = 38 feet

Length of diagonal given by Pythagoras theorem

[tex]\mathrm{Length = { \left( { a }^{ 2 } + { b }^{ 2 } \right) }^{ 0.5 } = { \left( { 12 }^{ 2 } + { 7 }^{ 2 } \right) }^{ 0.5 } = 13.89244\:\:feet}[/tex]

Hence

Total length = Perimeter of rectangle  + length of diagonal

Total length = 38 feet + 13.89244 feet = 51.9 feet

Hence an artist use 51.9 feet of string for constructing a piece of art in the shape of rectangle

Consider quadrilateral MATH with vertices (0,0), (s,O). (s,t) and (O,t). Sarah used the distance formula to prove that MT=AH. What conclusion can be made from Sarah's calculations?

Answers

Step-by-step explanation:

You could say that the diagonals are congruent.

please help me with this....!!!!!!!!

Answers

Answers:

5x^2 + 2 = 4x  has no real solutions3x^2 + 24x = -48 has exactly one real solution3(x+5)^2 = -2 has no real solutions4x^2 - 16x = 0 has two real solutions

======================================================

Explanation:

We can use the discriminant formula to determine how many (and what type of) roots we have. The term "root" is another word for "solution" or "x intercept". It's the x value that makes y = 0.

Any quadratic is of the form ax^2 + bx + c = 0

The discriminant formula is

d = b^2 - 4ac

which is found underneath the square root in the quadratic formula.

Here are the three possible outcomes

d > 0: we get two different real number solutionsd = 0: we have exactly one real number solutiond < 0: there are no real number solutions (the two solutions are complex or imaginary numbers).

With all that in mind, let's find the discriminant of the first equation on the very left.

First we need to get it into standard form ax^2+bx+c = 0

5x^2 + 2 = 4x

5x^2 - 4x + 2 = 0

We see that

a = 5b = -4c = 2

Computing the discriminant gets us...

d = b^2 - 4ac

d = (-4)^2 - 4(5)(2)

d = 16 - 40

d = -24

The actual discriminant value itself doesn't matter. All we care about is whether its positive, zero, or negative.

In this case, we get a negative discriminant. So this equation goes to the "no real solutions" column.

-------------------------

Let's move onto the next quadratic

3x^2 + 24x = -48

3x^2 + 24x + 48 = 0

a = 3, b = 24, c = 48

d = b^2 - 4ac

d = 24^2 - 4(3)(48)

d = 0

The discriminant of zero means this equation goes into the "exactly one real solution" category.

-------------------------

For the next equation, we don't need to use the discriminant formula here.

Notice that the right hand side is negative, but the left side is never negative because 3 is positive and (x+5)^2 is never negative. There is no way to have 3(x+5)^2 be negative if we let x be a real number only.

The equation 3(x+5)^2 = -2 goes into "no real solutions" pile.

-------------------------

For the last equation, we have

a = 4, b = -16, c = 0

So,

d = b^2 - 4ac

d = (-16)^2 - 4(4)(0)

d = 256

The result is a positive number, so we have two different solutions.

The discriminant is a perfect square which means we not only have real number solutions, but those solutions are rational numbers. This only works when a,b,c are rational as well.

2t - 15t is equal to
2t-15t is equal to

Answers

Answer:

2 result(s) found

t=2

t=

2

11

=5.500

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    2*t^2-(15*t-22)=0

Step by step solution :

STEP

1

:

Equation at the end of step 1

 2t2 -  (15t - 22)  = 0

STEP

2

:

Trying to factor by splitting the middle term

2.1     Factoring  2t2-15t+22

The first term is,  2t2  its coefficient is  2 .

The middle term is,  -15t  its coefficient is  -15 .

The last term, "the constant", is  +22

Step-1 : Multiply the coefficient of the first term by the constant   2 • 22 = 44

Step-2 : Find two factors of  44  whose sum equals the coefficient of the middle term, which is   -15 .

     -44    +    -1    =    -45

     -22    +    -2    =    -24

     -11    +    -4    =    -15    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -11  and  -4

                    2t2 - 11t - 4t - 22

Step-4 : Add up the first 2 terms, pulling out like factors :

                   t • (2t-11)

             Add up the last 2 terms, pulling out common factors :

                   2 • (2t-11)

Step-5 : Add up the four terms of step 4 :

                   (t-2)  •  (2t-11)

            Which is the desired factorization

Equation at the end of step

2

:

 (2t - 11) • (t - 2)  = 0

STEP

3

:

Theory - Roots of a product

3.1    A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

3.2      Solve  :    2t-11 = 0

Add  11  to both sides of the equation :

                     2t = 11

Divide both sides of the equation by 2:

                    t = 11/2 = 5.500

Solving a Single Variable Equation:

3.3      Solve  :    t-2 = 0

Add  2  to both sides of the equation :

                     t = 2

Supplement : Solving Quadratic Equation Directly

Solving    2t2-15t+22  = 0   directly

Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula

Parabola, Finding the Vertex:

4.1      Find the Vertex of   y = 2t2-15t+22

Parabolas have a highest or a lowest point called the Vertex .   Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) .   We know this even before plotting  "y"  because the coefficient of the first term, 2 , is positive (greater than zero).

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two  x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.

For any parabola,At2+Bt+C,the  t -coordinate of the vertex is given by  -B/(2A) . In our case the  t  coordinate is   3.7500  

Plugging into the parabola formula   3.7500  for  t  we can calculate the  y -coordinate :

 y = 2.0 * 3.75 * 3.75 - 15.0 * 3.75 + 22.0

or   y = -6.125-0

10th grade Geo | What does JK equal?

Answers

Answer:

16

Step-by-step explanation:

6x-7=2x+3 Cause point M is the midpoint, so JM and MK have to be equal.

4x=10

x=2.5

JM=15-7=8 and MK=5+3=8

8+8=16

Below are the demand and supply equations for overhead projectors in a certain market. In these equations, p represents price, D represents demand, and S represents supply. S = three-fourths p minus 28 D = negative 2 p 131 What is S at the point of equilibrium, to the nearest whole number? a. 12 b. 15 c. 58 d. 67.

Answers

For the equilibrium, the value of supply and the value of demand will be equal. Then the value of price (p) is 58.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The demand and supply equations for overhead projectors in a certain market.

In these equations, p represents price, D represents demand, and S represents supply.

[tex]\rm S = \dfrac{3}{4}p - 28 \\\\D = -2 p + 131[/tex]

For the equilibrium, the value of supply and the value of demand will be equal. Then we have

[tex]\begin{aligned} \dfrac{3}{4}p - 28 &= -2 p + 131\\\\3p- 112 &= -8p + 524\\\\11p &= 636\\\\p &= 57.81818 \approx 58 \end{aligned}[/tex]

More about the linear system link is given below.

https://brainly.com/question/20379472

Answer: B. 15

Step-by-step explanation: edge 2022 i got it right

If a van traveled 240 miles in 4 hours, how far could the van travel in 5 hours?

Answers

Answer: i think 300

Step-by-step explanation: i divided 240 by 4 and got 60 then multiplied 60X5=300

Answer:

300 miles in five hours.

Step-by-step explanation:

speed = distance/time

distance = speed*time

240/4=60

d= 60*5

d=300 miles in five hours.

Word explanation:

You can use the formula, speed=distance/time to find the speed which is 60 mph. Now use the formula for distance which is distance= speed*time. The answer would be 300 miles in five hours.

What is -3/8 times (-1/7)?

Answers

It’ll be 0.053 but long term will be 0.05357142857

a pet store donated 50 pounds of food for adult dogs , puppies and cats to an animal shelter. 19 and 3/4 pounds was adult dog food and 19 7/8 was puppy food. how many pounds of cat food did the store donate?

Answers

Answer: 10 3/8

Step-by-step explanation:

= 50 - 19 3/4 - 19 7/8

= 10 3/8

Fill the blanks:
Given: MOL~ REY

Answers

Answer:

1. <R

2. <E

3. <L

4. RE

5. YE

6. 5

find the number of bounded and unbounded regions that 4 lines in general position divide a plane into. then find the number of regions for 5 through 10 lines. organize the information in a chart. (ALL THE BLANK SPOTS IN THE ATTACHMENT ARE WHAT I AM CONFUSED ON) please help I have till friday to finish!

Answers

Answer:

10, 15, 21, 28, and 36

Step-by-step explanation:

The rule is the number of line which is n. (n-2)*(n-1) divided by 2

The slope of that line through the origin that divides the region bounded is 1.0315

What is slope?

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

here, we have,

given that,

y = 5x - 3x2

5x - 3x2 = 0

x(5 - 3x) = 0

x = 0 , x = 5/3

Area under y = 5x - 3x2 is A = [0 to 5/3] 5x - 3x2 dx

A = [0 to 5/3] 5x2/2 - 3x3/3

A = [0 to 5/3] 5x2/2 - x3

A = 5(5/3)2/2 - (5/3)3 = 125/54

line passing through origin is in the form of y = mx

==> mx = 5x - 3x2

==> 3x2 + mx - 5x = 0

==> 3x2 + x(m -5) = 0

=> x(3x + (m -5)) = 0

==> x = 0 , x = (5 -m)/3

Area under y = 5x - 3x2 and y = mx is (125/54)/2 = 125/108

==> ?[0 to (5 -m)/3] 5x - 3x2 -mx dx = 125/108

==> ?[0 to (5 -m)/3] (5 - m)x - 3x2 dx = 125/108

==> [0 to (5 -m)/3] (5 - m)x2/2 - x3 = 125/108

==> (5 - m)[(5 -m)/3]2/2 - ((5 -m)/3)3 = 125/108

==> (5 -m)3/18 - (5 -m)3/27 = 125/108

==> (5 -m)3/54 = 125/108

==> (5 -m)3 = 125/2

==> (5 -m) = 3.9685

==> m = 5 - 3.9685

==> m = 1.0315

Hence slope of line = 1.0315

To learn more about slope

brainly.com/question/3605446

#SPJ3

The complete question is given below

There is a line through the origin that divides the region bounded by the parabola y=5x−3x^2 and the x-axis into two regions with equal area. What is the slope of that line?

PLS HELP ME


Aisha divides 15 meter of ribbon into 2 equal pieces.

What is the length of each piece of ribbon?

Enter your answer as a fraction in simplest form by filling in the boxes.

⊆⊇ m
⊂⊃

Answers

Answer:

7.5 meters

Step-by-step explanation:

14/2=7 16/2=8 so you go halfway for 15

Divide the total length by 2

Length of ribbon=15m

Half:-

15/27.5m

How does DNA replication differ in prokaryotic and eukaryotic cells?
a. DNA is single stranded in prokaryotic cells
b. prokaryotic cells do not keep their DNA in a membrane bound nucleus
c. prokaryotic DNA uses uracil as a nitrogenous base instead of thymine
d. prokaryotic cells use a different amino acid code

Answers

the answer you are looking for is A

Somebody please help with these multi-step equation(s)

Answers

Answer:

h = -1

Step-by-step explanation:

-( 4+h) = 3h

Distribute the minus sign

-4 -h = 3h

Add 4 to each side

-4-h+h = 3h+h

-4 = 4h

Divide each side by 4

-4/4 = 4h/4

-1 = h

5 in
5 in
4.3 in
14 in
5 in




Can you help me find out the surface area

Answers

Answer:

219.6

Step-by-step explanation:

i used omnicalculator

Find the area for this square

Answers

Answer:

361

Step-by-step explanation:

Multiply length x width to find area. 19 x 19 = 361

Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth.

Answers

Answer: 64.0

Step-by-step explanation:

Solve the absolute value equation.
(7n+9)+11=3
The solution set is

Answers

17/7 should be the answer

1 by 8 + 3 by 4
I have a photo of you don’t know what I mean:)
And could u explain it too if you can<33
Thank you so much :>

Answers

Answer: 7/8

Step-by-step explanation:

First, we can start by finding a common denominator.

The least common denominator of 8 and 4 is 8.

We can multiply the numerator and denominator of 3/4 by 2:

= 6/8

So, we are esssentially calculating 1/8 + 6/8. We can add the numerators:

= 7/8.

1. Find a number multiplied by 4 that is eight, It would be 2 because two times 4 is eight.

2. Multiply the right side by 2

3. You now have 1 6
— + —
8 8

4. Now you just have to add the numbers , do not add the denominators ( in this case 8)

5. You would get 7

8

Determine the slope from the following order pairs:
(5, 7) (6,3)

Answers

Answer:

Step-by-step explanation:

(3-7)/(6-5)= -4/1= -4

If a car travels 400 miles in 4 hours how fast is it going?

Answers

Answer:

100 miles per hour

Step-by-step explanation:

Answer:

100 miles in 1 hour

Step-by-step explanation:

all you have to do is divied 400 and 4

This nonparametric test requires at least ordinal level data. Its purpose is to find out if there is any difference between two sets of related observations and it is used if the assumptions required for the paired t-test cannot be met. Which test is it?
a. ANOVA
b. Rank correlation
c. Kruskal-Wallis
d. None of the above

Answers

Answer:  Rank correlation

Step-by-step explanation:

hope it helps

solve for x 5x= -20

Answers

Answer:

Today: Monday, 12 October 2020

Hour: 09.13 WIB (in Indonesian)

_________________________

5x = -20

x = -20/5

× = -4

Answer:

x = -4

Step-by-step explanation:

5x = -20

x = -20/5

x = -4

I hope this helped!

is number 1 a function??

Answers

Answer:

yes

Step-by-step explanation:

Large cheese pizzas cost $5 each and large pepperoni pizzas cost $6 each. The expression 5c+6p models the total cost of large cheese pizzas (c) and large pepperoni pizzas (p). What does each part of the expression represent in the context of the situation? Drag the correct description to each part of the expression.

Answers

Answer: 5c represents the cost of 'c' large cheese pizzas and 6p represents the cost of 'p' large pepperoni pizzas.

Step-by-step explanation:

Given: Large cheese pizzas cost $5 each and large pepperoni pizzas cost $6 each.

The expression 5c+6p models the total cost of large cheese pizzas.

here c represents Number of large cheese pizzas and p represents number of  large pepperoni pizzas such that

5c represents the cost of 'c' large cheese pizzas and 6p represents the cost of 'p' large pepperoni pizzas.

[Total cost = Cost of each item x Number of items ]

a toy store sells assorted bags of marbles sold in small or large bags the table show the number of each color of marble in the small bag the manager of the store wants to mantain the same ratio of each color of the marble in the large bag as in the small bag
if each marble cost 20 green marble how much does the large bag cost

Answers

10$

Hope this helped!

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