Mathematics High School

What is m∠DEF?
Enter your answer in the box.

There is a triangle DEF in which side DE is congruent to side EF and G is the midpoint of the side DF. Segment EG intersect the side DF at point G. The measure of angle DEG is (3y+4) degrees and the measure of angle FEG is (5y-10) degrees.

Answers

Answer 1

Answer:

m<DEF = 8y - 6

Step-by-step explanation:

Given that: DEG = [tex](3y +4)^{o}[/tex], and FEG = [tex](5y-10)^{o}[/tex].

The given triangle is an isosceles triangle with sides DE ≅ DF.

But,

m<DEF = DEG + FEG

            =  [tex](3y +4)^{o}[/tex] + [tex](5y-10)^{o}[/tex]

            = 3y + 4 + 5y - 10

            = 8y - 6

m<DEF = 8y - 6

Therefore, the measure of < DEF is 8y - 6.

Related Questions

andrew sold $50 less than sarah did and evan sold $25 more than Sarah. these quantities can be communicated symbolically. if x= the amount that sarah sold, which of these represents the amount sold by the other two people?

A. andrew=50-x, Evan= x+25
B. Andrew=x-50, Evan=x+25
C. andrew=x-50, evan=25x
D. andrew=50-x, evan=25x​

Answers

The answer is I think b because it has x-50 and it said Andrew sold less that Sarah so its subtracting

A bake sale has 5 brownies for sale. Each brownie was cut into 4 slices. Each slice was sold for $7. What was the total amount earned for the sale of all the brownies?

Answers

Answer:

140

Step-by-step explanation:

5 times 4 is 20 which is the amount of browiners 20 times 7 is 140

Answer:

140$

Step-by-step explanation:

muliplication

4x5=20

20x7=140

what is this 2x-5+22=?

Answers

Answer: 2x+17

Step-by-step explanation: add -5 and 22

Answer:[tex]\boxed{\boxed{\sf{2x+17}}}[/tex]Solution Steps:

______________________________

1.) Add −5 and 22:[tex]-5+22=17[/tex]

 - You could also solve this by  flipping the numbers around and subtracting 22 - 5, Which still gives you 17.

So your answer is [tex]\bold{(2x+17)}[/tex].

______________________________

5m+22-15n need answer

Answers

Answer:5m+22-15n

Step-by-step explanation:

what is the slope of this equation, v=3x+60

Answers

The slope is 3.

In y=mx+b, the number before x (or m) is the slope.

Answer:

slope=3

Step-by-step explanation:

All triangles are equal to ______ degrees

Answers

Answer:

180

Step-by-step explanation:

they are all equal too 180 degrees

4|m-n|
If m=-7 and n=2

Answers

you would first substitute -7 for m and 2 for n. It would look like this: 4| -7-2 | . we first solve the absolute value because it is the first step in PEMDAS or order of operations. -7-2 is equal to -9. Our equation should look like this now: 4 |-9| . we solve the absolute value portion, the absolute value of a negative number is the the same number but positive. the absolute value would be 9. (we just take the negative symbol off). we now have 4 x 9. This is equal to 36.

36 is the answer.

In a pack of candies, Maria found that for every three blue candies, there were five red ones. Identify the correct list of ratios that compares the red candies to the blue ones.

Answers

Answer:

5/3; 5 to 3; 5:3

Step-by-step explanation:

Answer:

5/3; 5 to 3; 5:3

Step-by-step explanation:

X + 5x - 6 < 12 solve for inequality

Answers

Answer:

7

Step-by-step explanation:

x+5x<12

x+5x=12

12-5x

=7

7 divide by 1

=7

please help i’ll give you brainlest pleas

Answers

Answer:

20°,40°,75°

Step-by-step explanation:

Subtract the number from 90 and turn the difference to a degree

I’m pretty sure it’s 20°,40°,75°

5+4−6=24 plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

its false

Step-by-step explanation:

5+4-6=24

9-6=24

3=24 3 does not equal to 24 so its false

Christina needed 8 pounds of flour to make cookies that will
serve 44 people. How many pounds of flour will Christina
need to feed 66 people?

Answers

Answer:

12

Step-by-step explanation:

4 pounds is 22 people

8 is 44

12 is 66

PLEASE HELP ASAP!!!! ILL MARK BRAINLEST

Answers

Answer:40

Step-by-step explanation:

100+10+10=3x

3x=120

Divide both sides by 3

X=40

Answer:

40

Step-by-step explanation:

add 100+10+10 and divide it by 3

5% of the students in Mr. Ferris's class joined the
band. If 65 students joined the band, how many
students are there in Mr. Ferris's class?

there’s not abc or d :( but can someone help me?

Answers

Answer:

maybe 68?

Step-by-step explanation:

You and a friend tutor for a total of 12 hours. Use the
tape diagram to find how many hours you tutor.
You
Friend

Answers

The answer is 2
12/6=2
2x2=4

Question 2

If MNP = 107, what is NMQ?

Answers

Answer:

73 degrees

Step-by-step explanation:

73 degrees is the answer i think

Given a quadratic equation px^2 + 8x + 2 does not have real roots. Determine the range of the values of p.
[4 marks]

Answers

Step-by-step explanation:

For a quadratic equation to have no real roots, the discriminant b² - 4ac must be negative.

For px² + 8x + 2 = 0,

We have a = p, b = 8 and c = 2.

=> (8)² - 4(p)(2) < 0

=> 64 - 8p < 0

=> 8p > 64

=> p > 8

Hence the range for p is p > 8.

8x(x+1)=(4x-3)(2x+1)

Answers

Answer:

(3x+1)(2x+1)

Step-by-step explanation:

Answer:

[tex]x2[/tex]=[tex]\frac{5-\sqrt{113} }{8} , x2 = \frac{5+\sqrt{113} }{8}[/tex]

Step-by-step explanation:

hope this help and if you can give me brainliest

3x + x - 7 = 10

What does x=

Answers

First you add 3x+x because they are like terms.

3x+x-7=10  

Your New Simplified Equation:

4x-7=10  

Now, you have to take out the -7 by adding a positive 7. Also you                          have to add +7 on the other side so add 7 to 10.

Your New Simplified Equation:

4x=17      Now, you divide both sides by 4.

Your New Simplified Equation:

x= 17/4 So, that's your answer :)

I rlly need help and the operation bby plssssss help me

Answers

AFE=35 degrees because 180=55+90+x

Answer:

∠ AFE = 35°

Step-by-step explanation:

∠ EFD = ∠ BFC = 55° ( vertically opposite angles )

Since BD is a straight line , then

∠ EFD + ∠ AFE + AFB = 180°, that is

55° + ∠ AFE + 90° = 180

∠ AFE + 145° = 180° ( subtract 145° from both sides )

∠ AFE = 35°

Ben wants to buy a guitar. The regular price of the guitar is $329.99. The sale price of the guitar is 25% off of the regular price. What is the sale price of the guitar?

Answers

$247.49 because 329.99 minus 25 percent gives that amount

Which represents the decimal 0.071
A. 71 tenths
B. 71 hundredths
C. 71 thousandths
D. 71 Ten thousandths

Answers

Answer:

c 71 thousandths

Step-by-step explanation:

What number is missing in this sequence? 1, 2, 4, 7, 11, ___, 22

Answers

Answer:

16

Step-by-step explanation:

what is (4x - 4) + (2x + 2)? (no direct answer.)​

Answers

Answer:

6x -2

Step-by-step explanation:

(4x - 4) + (2x + 2)

4x + 2x = 6x

-4 + 2 = 2

6x - 2

The cylinder shown here has a height of 7 centimeters and a radius of 4 centimeters. What is the area of the base of the cylinder? Express your answer in terms of 1. Do not include units (cm2) in your answer. Use pi to represent the n symbol. For example: 321 would be typed as 32pi​

Answers

Answer: 16pi

Step-by-step explanation:

6.6+1.3x-5.2x(less than or equal to) 14.4 plssss help omg
​

Answers

So here is the answer and the steps:

Find the slope of the line from a graph. Will give brainliest!!!

Answers

Answer:

2/1 or 2

Step-by-step explanation:

to find the slope you have to calculate the rise over run, do this by picking two spots on the line that go thourgh the corner of a square. then count the amount up the is your rise then the lateral movement, the is your run.

this means the answer is 2/1 that can be simplified to 2.

find the scale factor

Answers

2 because the one side doubled and what happens to 1 side happens to them all, so 2

Answer:

2 is ur answer.

hope it helps you.

Which angle number is adjacent to angle to ZOKL?
​

Answers

Answer:

there aint no picture

Step-by-step explanation:

can someone please help me? it would mean so much to me. thanks a lot!

Answers

Answer:

Maybe  -3

Step-by-step explanation:

I am not 100% sure but it is better than nothing,

since 3+3=6 I think after 3 is 6, and after 6 is 9. I think that because the more right the line goes you add  3 to every move. So therefore, 3-3=0, and 0-3= -3

Hope this helps. Also, I hope I gave you the correct answer.

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