Find the answer for m∠EFD

Find The Answer For MEFD

Answers

Answer 1

Given:

In triangle DEF, [tex]DE = EF[/tex] and [tex]m\angle 98^\circ[/tex].

To find:

The measure of angle EFD.

Solution:

In triangle DEF,

[tex]DE = EF[/tex]           (Given)

It means triangle DEF is an isosceles triangle.

[tex]m\angle EDF=m\angle EFD[/tex]           (Base angles of an isosceles triangle are equal)

Using angle sum property in triangle DEF, we get

[tex]m\angle DE F+m\angle EFD+m\angle EDF=180^\circ[/tex]

[tex]98^\circ +m\angle EFD+m\angle EFD=180^\circ[/tex]

[tex]2m\angle EFD=180^\circ-98^\circ[/tex]

[tex]2m\angle EFD=82^\circ[/tex]

Divide both sides by 2.

[tex]m\angle EFD=\dfrac{82^\circ}{2}[/tex]

[tex]m\angle EFD=41^\circ[/tex]

Therefore, the measure of angle EFD is 41 degrees.


Related Questions

Write the expanded form of the expression 5(2x - 4 )

Answers

[tex]5(2x-4)=10x-20[/tex]

Hope this helps.

Step-by-step explanation:

Write 5

(2

x−

4)

as an equation.y

=

5

(2x−4)

(i) 3 (a + 5b) + a (a + 4) (ii) y (10 - y) + 3 (y - 2) (iii) 2 (8a - 5b) + 3 (5a - 12) (iv) 3 (y - 3) + ( 8 - 6y + x) (v) a (a - 2b) + b (b + 2a - c) (vi) 5 (x - y + z) + (4x + 3y) plzz solve

Answers

Answer:

[tex]3 (a + 5b) + a (a + 4) = a^2 + 7a + 15b[/tex]

[tex]y (10 - y) + 3 (y - 2) = - y^2+13y - 6[/tex]

[tex]2 (8a - 5b) + 3 (5a - 12) = 31a -10b - 36[/tex]

[tex]3 (y - 3) + ( 8 - 6y + x) = -3y + x-1[/tex]

[tex]a (a - 2b) + b (b + 2a - c) =a^2 + b^2 - bc[/tex]

[tex]5 (x - y + z) + (4x + 3y) =9x - 2y +5z[/tex]

Step-by-step explanation:

Solving (i):

[tex]3 (a + 5b) + a (a + 4)[/tex]

Open brackets

[tex]3 (a + 5b) + a (a + 4) = 3a + 15b + a^2 + 4a[/tex]

Collect like terms

[tex]3 (a + 5b) + a (a + 4) = a^2 + 4a+3a + 15b[/tex]

[tex]3 (a + 5b) + a (a + 4) = a^2 + 7a + 15b[/tex]

Solving (ii)

[tex]y (10 - y) + 3 (y - 2)[/tex]

Open bracket

[tex]y (10 - y) + 3 (y - 2) = 10y - y^2 + 3y - 6[/tex]

Collect like terms

[tex]y (10 - y) + 3 (y - 2) = - y^2+10y + 3y - 6[/tex]

[tex]y (10 - y) + 3 (y - 2) = - y^2+13y - 6[/tex]

Solving (iii)

[tex]2 (8a - 5b) + 3 (5a - 12)[/tex]

Open bracket

[tex]2 (8a - 5b) + 3 (5a - 12) = 16a -10b + 15a - 36[/tex]

Collect like terms

[tex]2 (8a - 5b) + 3 (5a - 12) = 16a+ 15a -10b - 36[/tex]

[tex]2 (8a - 5b) + 3 (5a - 12) = 31a -10b - 36[/tex]

Solving (iv)

[tex]3 (y - 3) + ( 8 - 6y + x)[/tex]

Open bracket

[tex]3 (y - 3) + ( 8 - 6y + x) = 3y - 9 + 8 - 6y + x[/tex]

Collect like terms

[tex]3 (y - 3) + ( 8 - 6y + x) = 3y - 6y + x- 9 + 8[/tex]

[tex]3 (y - 3) + ( 8 - 6y + x) = -3y + x-1[/tex]

Solving (v):

[tex]a (a - 2b) + b (b + 2a - c)[/tex]

Open bracket

[tex]a (a - 2b) + b (b + 2a - c) =a^2 - 2ab + b^2 + 2ab - bc[/tex]

Collect like terms

[tex]a (a - 2b) + b (b + 2a - c) =a^2 + 2ab- 2ab + b^2 - bc[/tex]

[tex]a (a - 2b) + b (b + 2a - c) =a^2 + b^2 - bc[/tex]

Solving (vi)

[tex]5 (x - y + z) + (4x + 3y)[/tex]

Open brackets

[tex]5 (x - y + z) + (4x + 3y) =5x - 5y +5z+4x +3y[/tex]

Collect like terms

[tex]5 (x - y + z) + (4x + 3y) =5x +4x +3y- 5y +5z[/tex]

[tex]5 (x - y + z) + (4x + 3y) =9x - 2y +5z[/tex]  

Ayuda es para un examen

Answers

Es 5 por la x y la y

3. A line contains the points P (1,1) and Q (7,10) what is the slop of the line

Answers

Answer:

9/6 is the slope but that simplifies to 3/2

Step-by-step explanation:

y2-y1

x2-x1

10-1=9

7-1=6

In a certain Algebra 2 class of 30 students, 8 of them play basketball and 10 of them
play baseball. There are 18 students who play neither sport. What is the probability
that a student chosen randomly from the class plays both basketball and baseball?

Answers

8 play basketball, 10 of them play baseball, so 8+10 = 18

the ratio is 8:10

12 students dont play

18-12 = (6)

Please help me with the question I asked I’m doing a text please.

Answers

Answer:

Wait, what question?? I can try to do it.

can anyone help??? will give best answer brainliest!!

Answers

Answer:

5xy = 2

Step-by-step explanation:

This is the only one that has two (x & y) letters/integers on one single number.

Solve the right triangle. Round decimal answers to the nearest tenth. what is angle a and angle b

Answers

Answer:

b = 12.6

Step-by-step explanation:

a*2 + b*2 = c*2

6*2 + b*2 = 14*2

36 + b*2 = 196

Subtract 36 from both sides

36 + b*2 = 196

-36             -36

b*2 = 160

Find the square root of both

b = 12.64911064  or 12.6

Can you guys please help me I already got two wrong I can’t get anymore please!?

Answers

B is the correct answer

Answer:

B. x-5

Step-by-step explanation:

Sister's height: x

Gavin's height: 5 in. less than his sister's height.

UM, math question on area

Answers

Answer:

whats the question

Step-by-step explanation:

Answer:

multiply width and length, for rectangles, parallelograms, and rhombuses  

If a triangle divide by two

if a trapezoid, take the average of the two length and multiply by height

hope this helps

comment if you need calculation for the area of other shapes!

❗️❗️❗️HELP❗️❗️❗️

Use f(x) and g(x) to answer the question.
f(x) = x +4
g(x) = x – 2
What is the product (fºg)(x)?

Answers

Answer:

Correct answer is the first one x^2 + 2x - 8

because (x + 4) (x - 2)

= x ^2 + 4x - 2x - 8

= x^2 + 2x - 8

Car A travels 20 mph faster than Car B. In the same time that Car A travels 208 mi, Car B travels 156 mi. Find their speeds. The speed of Car A is and the speed of Car B ​

Answers

Step-by-step explanation:

Assuming the speed of car B to be x and the speed of car A to be x+20

156 = 208

x. x+20

156(x+20)= 208x

156x+3120=208x

3120=208x-156x

3120=52x

x=60

The speed of car A is (x)= 60

The speed of car B is(x+20)= 80

Answer:

[tex]\huge\colorbox{red}{Car\: A=80}\colorbox{blue}{Car B=60}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:equationPEMDASlet's solve:

let the speed of car A be A

let the speed of car B be B

according to the first condition:

[tex]\quad A=B+20[/tex]

according to the second condition:

[tex]\quad 156(A)=208B[/tex]

[tex]\text{substitute the value of A into the equation:}\\ \sf \implies 156(B+20)=208(B)[/tex][tex]\sf distribute:\\ \implies 156B+3120=208B[/tex][tex] \sf \: substract\: 156B \: from \: both \: sides : \\ \implies \: 156 B -156 B + 3120 = 208 B - 156 B \\ \implies \: 3120 = 52 B[/tex][tex] \sf divide \: both \: sides \: by \: 52 : \\ \implies \frac{52B}{52} = \frac{3210}{52} \\ \therefore \: B = 60[/tex]

therefore

[tex]\text{the speed of car A is 60+20=80}[/tex]

36.Simplify: 5 – {3 – (x - 8) }

Answers

Answer:

x-10

Step-by-step explanation:

you have to do what is in the parenthesis first. Do distributive property to

-(x-8)

-(x)-(-8)= -x+8

now you have 5-(3-x+8)

Do distributive property again

5-3+x-8

x-8+2

x-10

hope this helps ~D~

Answer:

your answer will be X−6

Step-by-step explanation:

hope it helps

have a nice day/night ^_^

Get as many people to answer this question will give brainiest for free!!!!

Answers

Answer:

huh?

Step-by-step explanation:

Lula is planting her spring garden. It takes nineteen giant bags of soil to fill five flower beds. How much soil is in each flower bed?

Answers

Answer:

19/5 = 3 4/5 soils for each flower bed.

Step-by-step explanation:

Answer is 3 4/5 soils  in each flower bed.

if f and g are two functions defined by f(x)=3x+5 and g(x)=x^2+1 then g(f(x)) is

Answers

the answer is A. fggggggggtggg

2% of the ducks in a pond have a fluffy tail. If 4 ducks have a fluffy tail, how many ducks are in the pond. Please answer best answer gets brainliest.

Answers

Answer:

200

Step-by-step explanation:

just look up 2% of 4 is what and you will get the same answer

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

The polygons are similar, but not necessarily drawn to scale. Find the value of x.

Answers

16/12 = (x-1)/6
x-1 = 4/3 . 6
x = 24/3 + 1 = 9

32/24 = (y+1)/21
y+1 = 4/3 . 21
y = 84/3 - 1 = 25

The value of x is given from proportion and x = 9

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the first polygon and second polygon be similar

So , the ratio of their corresponding sides will also be similar

Substituting the values in the equation , we get

( x -1 ) / 6 = 16 / 12   be equation (1)

On simplifying the equation , we get

Multiply by 6 on both sides of the equation , we get

( x - 1 ) = ( 16 x 6 ) / 12

( x - 1 ) = 16 / 2

On simplifying the equation , we get

x - 1 = 8

Adding 1 on both sides of the equation , we get

x = 9

And ,

( y + 1 ) / 21 = 32 / 24   be equation (2)

On simplifying the equation , we get

Multiply by 21 on both sides of the equation , we get

( y + 1 ) = ( 4 x 21 ) / 3

y + 1 = 4 x 7

y + 1 = 28

Subtracting 1 on both sides of the equation , we get

y = 27

Hence , the value of x is 9

To learn more about proportion click :

https://brainly.com/question/7096655

#SPJ2

factories the following: x^2 - 3x + 2

Answers

Answer:

(x-2)(x-1)

Step-by-step explanation:

Answer:

(x-2)(x-1)

Step-by-step explanation:

[tex]x^{2} -3x+2\\\\(x-2)(x-1)[/tex]

Helppppp what is the answerrrr????

Answers

13km i think / that maybe wrong too
62400km^2
just multiply all the digits

Joanne deposits $4,300 into a one-year CD at a rate of 2.3%, compounded daily.
What is her ending balance after the year?
How much interest does she earn?
What is her annual percentage yield to the nearest hundredth of a percent?

Answers

Answer:

5k

Step-by-step explanation:

The interest accrued on the principal is $100.

Using the formula;

A = P( 1 + r/n)^nt

A - amount

P - Principal

r = rate

n = Number of times the interest is compound

t = time in years

Substituting values;

A = 4,300( 1 + 0.023/365)365 × 1

A =  $4400

Interest =  $4400 - $4,300 = $100

The annual percentage yield is obtained from;

APY=100 (1 + r/n )n – 1

APY=100 (1 + 0.023/365)^n - 1

APY= 100(0.023)

APY= 2.3 %

Learn more: https://brainly.com/question/14283892

How will the graph of the function f(x) = 3x translate when the function is changed to f(x) = 3(x-2)

Answers

Answer:

Step-by-step explanation:

Subtracting from the x value shifts the graph to the right that many units. In this case the graph is shifted to the right by 2 units.

Answer:

It moves to the right 2

Step-by-step explanation:

:)

3(x+2)^2+7 in standard form

Answers

Answer:-2x^2+3x-7=0

Step-by-step explanation:

A linear sequence (i.e. where the 1st difference is always the same) has 5th term 6 and 92nd term 354. What is the 57th term?

Answers

Answer:

I dont know xDDDDDDDDDD

Answer:

a₅₇ = 214

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₅ = 6 and a₉₂ = 354 , then

a₁ + 4d = 6 → (1)

a₁ + 91d = 354 → (2)

Subtract (1) from (2) term by term to eliminate a₁

0 + 87d = 348

87d = 348 ( divide both sides by 87 )

d = 4

Substitute d = 4 in (1) and solve for a₁

a₁ + 4(4) = 6

a₁ + 16 = 6 ( subtract 16 from both sides )

a₁ = - 10

Then

a₅₇ = - 10 + (56 × 4 ) = - 10 + 224 = 214

Hugo cut 15 short strips of paper then he cut 14 long strips how many strips of paper did he go cut in all



A.1 strip of paper
B.28 strip of paper
C.2 strip of paper
D.29 strips of paper

Answers

Answer:

D.) 29

Step-by-step explanation:

Add 15 and 14

The answer is d 29 hope this helps

A number between 1 and 20 and has exactly 4 factors

Answers

Answer:

6, 8, 10, 14, 15

Step-by-step explanation:

6(1,2,3,6)

8(1,2,4,8)

10(1,2,5,10)

14(1,2,7,14)

15(1,3,5,15)

Yesenia buys milk to make milkshakes for all her friends. She buys 1 quart of milk and
1/2 gallon of milk. How many cups of milk does she ​buy?

Answers

Answer:

12 CUPS

Explanation:

1 quart = 4 cups

1 gallon = 16 cups

Yesenia buys 1 quart -> 4 cups

AND 1/2 a gallon -> 8 cups

4 cups from quart + 8 cups from 1/2 gallon = 12 cups total!

PLEASE NEED HELP WILL CHOOSE BRAINLIEST
Answer Choices:
2
3
-9
7
4

Answers

Answer:

9

WILL CHOOSEBRAINLIEST

Answer:

-9

Step-by-step explanation:

-9x^-(-9)=-9x^9

2.In ABC, BD is perpendicular to AC. The dimensions are shown in centimeters.

What is the length, in centimeters, of AC?

ASAP BEFORE TOMORROW 11

Answers

Answer:

AC = 12

Step-by-step explanation:

From the question, we have that BD is perpendicular to AC

This means that it is at 90 degrees to the base

so we have two similar right triangles

Let us use Pythagoras’ theorem to get the measure of one of the legs (AD and DC)

Let us call the leg x

We have the Pythagoras’ theorem stating that the square of the hypotenuse (the side facing the right angle; 10 here) is equal to the sum of the squares of the two other sides

10^2 = x^2 + 8^2

100 = x^2 + 64

x^2 = 100-64

x^2 = 36

x = √36

x = 6

AD = DC = 6

AC = 2 * AD

AC = 2 * 6

AC = 12

Does anyone know the answer

Answers

(x+57)+82+(x+65) =180
2x+204 = 180
x= -12
Angle A= x+57= -12+57=45
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