Given a quadrilateral DEFG. If angle ED is supplementary to ____________then DEFG is a parallelogram .
A. angle EFG and angle DEF B. angle DGF and angle EFC C. angle DEF and angle DGF

Answers

Answer 1

Answer:

The correct option is A.

Step-by-step explanation:

It is given that  DEFG is a parallelogram.

Draw the diagonals DF and EG. Place point H where DF and EG intersect.

In triangle HGD and HEF

,

∠HGD ≅ ∠HEF                            (Alternate Interior angle)

∠HDG ≅ ∠HFE                      (Alternate Interior angle)

By the definition of a parallelogram, the opposite sides of a parallelogram are congruent.

DG ≅ EF                                      (Opposite sides of parallelogram)

According to ASA postulate :

two triangles are congruent if any two angles and their included side are equal in both triangles.

So, by using ASA criterion for congruence we get,

ΔDGH ≅ ΔFEH

Since corresponding sides of congruent triangles are congruent, therefore

GH ≅ EH                      (CPCTC)

DH ≅ FH                     (CPCTC)


Related Questions

What is the equation of the graphed line written in
standard form?
x= -3
y= -3
x + y= -3
x-y= -3

Answers

Answer: x-y= -3.... I'm just here to help so I don't know if its the right answer but if it is let me know.

Step-by-step explanation:

In this triangle, the product of sin B and tan C is
and the product of sin Cand tan B is

Answers

Answer:

[tex]\frac{c}{a}[/tex] and [tex]\frac{b}{a}[/tex]

Step-by-step explanation:

sinB = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{b}{a}[/tex]

tanC = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{c}{b}[/tex]

Thus

sinB tanC = [tex]\frac{b}{a}[/tex] × [tex]\frac{c}{b}[/tex] ( cancel b on numerator/ denominator )

                 = [tex]\frac{c}{a}[/tex]

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

sinC = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{c}{a}[/tex]

tanB = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{b}{c}[/tex]

Thus

sinC tanB = [tex]\frac{c}{a}[/tex] × [tex]\frac{b}{c}[/tex] ( cancel c on numerator/ denominator )

                 = [tex]\frac{b}{a}[/tex]

what does this symbol mean in math: •

Answers

Answer: Multiplication

Step-by-step explanation:

Hope this helps :)

Answer:

Because it's taken out of context, I am not completely certain, but I'm pretty sure it's just another way to write the multiplication symbol. A lot of people like it because it's faster to write, and you won't confuse it with the variable x.

Hope this is helpful to you!

Subtract (4x2 - x + 6) from (3x2 + 5x - 8).
A. O 7x2 + 6x - 14
B. 7x2 + 4x - 2
C.x2 - 6x + 14
D. -x2 + 6x - 14

Answers

Answer:

[tex]\left(3x^2+5x-8\right)-\left(4x^2-x+6\right)=-x^2+6x-14[/tex]

Hence, option D is correct.          

Step-by-step explanation:

We have to subtract (4x² - x + 6) from (3x² + 5x - 8).

so

[tex]\left(3x^2+5x-8\right)-\left(4x^2-x+6\right)[/tex]

Remove parentheses: [tex]\left(a\right)=a[/tex]

[tex]=3x^2+5x-8-\left(4x^2-x+6\right)[/tex]

[tex]=3x^2+5x-8-4x^2+x-6[/tex]

Group like terms

[tex]=3x^2-4x^2+5x+x-8-6[/tex]

Add similar elements:  [tex]\:3x^2-4x^2=-x^2[/tex]

[tex]=-x^2+5x+x-8-6[/tex]

Add similar elements:  [tex]5x+x=6x[/tex]

[tex]=-x^2+6x-8-6[/tex]

Subtract the numbers: [tex]-8-6=-14[/tex]

[tex]=-x^2+6x-14[/tex]

Therefore,

[tex]\left(3x^2+5x-8\right)-\left(4x^2-x+6\right)=-x^2+6x-14[/tex]

Hence, option D is correct.                                      

Scale Factor = 1 is it reduction or enlarge

Answers

I think it’s reduction

Answer:

The image remains the same.

Step-by-step explanation:

If the scale factor is one, then the image is not reduced or increased, it remains the same. This is because, if one multiplies the original image by the scale factor, then one will get the scaled answer. If one multiplies anything by 1, then they will get the number they multiplied by 1 (this is called the multiplicative identity property), hence the image remains the same.

Count to find the slope. ​

Answers

Answer:

The slope is 6/7 or -7/6.

Step-by-step explanation:

You could go from the lower dot and count to the line of the upper dot and then go to the right until you hit the dot or you would start at the upper dot and count down to the line of the lower dot and go to the left until you hit the dot.

Help
ASAP
I’ll mark
You as brainlister

Answers

Answer:

22.78

Explanation:

Given:
Rise:3
Run:7

We need to find angel x

Using trigonometric ratio:
Tan(0)= perpendicular/base

Tan(angel x) = 3/7= 0.42

Angel x = tan-1(0.42)= 22.78

When an equation has one solution, the variable terms on both sides are the same.
O True
O False

Answers

Answer

false

Step-by-step explanation:

When an equation has one (1) solution, the variable terms on both sides are the same: False.

What is system of equations?

A system of equations can be defined as an algebraic equation of the first order with two (2) variables and each of its term having an exponent of one (1).

Mathematically, an equation can be represented as follows:

[tex]x+y=10[/tex]

Where:

x and y are the variable terms.

Generally, the variable terms on both sides are different for an equation that has one (1) solution.

Read more on equations here: https://brainly.com/question/2972832

There are 18 girls in a bowling league there are three girls for every two boys in the lead how many boys are in the league

Answers

Answer:

12

Step-by-step explanation:

18 can be divided by 3 evenly making it 6. So there is 6 sets of 3 girls and 2 boys. So if you do 6 x 2 you get 12.

A student incorrectly solved an exponential equation looking at the work shown, what mistake did the student make

Answers

Answer:

i have made it in pic above

exponential part 2.. help

Answers

Answer:

The answer would be 9

Step-by-step explanation:

27^2 would be 729

27^4/3 would be 81

now you have 729/81

divide 729/81=9

En un triángulo ABC, "I" es incentro del triángulo ABC. En AC se ubica el punto D, tal que m∡AID=90, BI = 18 y CD = 2, calcule IC.

Answers

I wanna get a breast reduction I’m tired of these big Cherries on my chest

If need any help editing an essay or something you can not do on here heres my number
(318) 891-1439
Send it to me I will be glad to help

Answers

Answer:

on what's app ?

Step-by-step explanation:

or telegram ?

A toy car is 3 inches long. An actual size car is 180 inches long. What is the percent increase from the toy car to actual size car?

Answers

Answer:

600%

Step-by-step explanation:

Answer:

6000% is the percent increase from the toy car to the actual size car.

Step-by-step explanation:

Mark me brainliest? :D

Solve for X for A and B

Answers

Answer:

A. x = 3B. x = 3

Step-by-step explanation:

Question A

Using the proportions of similar triangles:

(7x + 4 + 15)/(12 + 20) = 15/12(7x + 19)/32 = 5/47x + 19 = 407x = 21x = 3

Question B

(6x - 3)/(6 + 4) = (6x - 3 - 6)/63(2x - 1)/10 = 3(2x - 3)/66(2x - 1) = 10(2x - 3)3(2x - 1) = 5(2x - 3)6x - 3 = 10x - 1510x - 6x = 15 - 34x = 12x = 3

What is the measure of ONE interior angle in a regular triangle (3 sides)?​

Answers

Answer:

60°

Step-by-step explanation:

A regular triangle has three congruent angles. The sum of the angles is 180°, so each angle is 60°.

What is 5 and 2/3 equivalent to

Answers

Answer:

17/3

Step-by-step explanation:

Find the missing sides.
(Help me)

Answers

Answer:

2nd one

Step-by-step explanation:

when it's a 45 45 and 90 triangle, it's 1, 1, sqrt 2, but now since the 1 is sqrt 2, v is sqrt 2, and u and sqrt 2 times sqrt 2, which is 2

help me plz this is my last chance to get it correct (B is the wrong answer btw)

Answers

Answer: I would think D.

Step-by-step explanation: I'm worried for you, I hope this is correct.

What are the coordinates of point A?


(–2, –6)
(–6, –2)
(–6, –3)
(–3, –6)

Answers

Answer:

Choice (-3, -6)

Step-by-step explanation:

Count from the x axis first then the y axis.

Point A moved 3 units to the left, then moved 6 units down.

Answer:

(-3,-6)

Step-by-step explanation:

the definitely correct

A touchdown in football counts for 6 point. If n stands for the number of touchdowns, equation represents how many point n touchdowns worth?

Answers

Answer:

Step-by-step explanation:

y=6x

simplify the expression: -3b - 3b

Answers

Answer:

Step-by-step explanation:

-3b - 3b= (-3b)+(-3b)= -6b

Answer:

the answer is: -6b

Step-by-step explanation:

you would subtract 3b from -3b making it -6b

On Sunday, Chris bought 5% of the cans from his grocery store in preparation for hurricane Sandy. If he bought 61 cans, how many cans did his grocery store have originally?

Answers

Answer:

1220 cans

Step-by-step explanation:

Let the number of cans be x

5% of x is 61, solve the equation below for x:

x*0.05 = 61x = 61/0.05x = 1220 cans

in 20 seconds a rollercoaster goes up a 100-meter hill then down 72 meters and back up a 48-meter rise how much higher or lower from the start of the ride is the coaster after 20 seconds?

Answers

The answer would be 22 nesters

The ratio of small dogs to large dogs at the dog show is 4:3. If there are 56 ​total ​dogs in the show, how many ​large ​dogs are in the show? Show your work by using a tape diagram.

Answers

Answer:

there are 24 large dogs

Step-by-step explanation:

add the ratio 3 plus 4

for large dogs you have 3/7×56

Im to dum for this, can big brain person do this PLZ

Answers

Answer:

its ur ma and also wheres the picture nobrainer;-;

Step-by-step explanation:

Answer: yeah i see cuz theres nothing

Step-by-step explanation:

Giving brainliest! Which correctly shows how to use the GCF and the distributive property to find an expression equivalent to 45 + 72?

3 (15 + 24)
9 (5 + 8)
(5) (9) + (2) (36)
(3) (15) + (8) (9)

Answers

Answer:

b. 9 (5+8)

Step-by-step explanation:

Answer:

Step-by-step explanation: (5+9)

URGENT!! The partial results of a movie survey are represented in the two-way frequency table below. Complete the two-way frequency table.

Answers

Answer:

in male 2nd column fill 33. In female 1st column fill 29 and in 3rd one fill 50. In total 2nd column fill 54

If f(x) = x - 4, find f(10)

Answers

Answer:

f(10) = 6

Step-by-step explanation:

To evaluate f(10), substitute x = 10 into f(x), that is

f(10) = 10 - 4 = 6

HELLPPPP NEEEEEDDDEEEEDD



Thank you very much!

Answers

Answer is A.) hope I helped!!!

Answer:

Answer C

Step-by-step explanation:

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