1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
algol [13]
2 years ago
10

If ABC=DEF and m <E= 2(m-15)° find m​

Mathematics
1 answer:
Lostsunrise [7]2 years ago
3 0
<h3>Answer:  m = 25</h3>

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

Work Shown:

Triangle ABC is congruent to triangle DEF. The order of the lettering is important because it tells us how the angles pair up. We see that angle B and angle E are the second letters of ABC and DEF respectively. Because the triangles are congruent, this leads to angle B = angle E.

Angle B is shown to be 20 degrees, so,

angle E = angle B

2(m-15) = 20

m-15 = 20/2

m-15 = 10

m = 10+15

m = 25

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

A slightly alternative way to solve:

2(m-15) = 20

2m-30 = 20

2m = 20+30

2m = 50

m = 50/2

m = 25

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

Checking the answer:

2(m-15) = 20

2(25-15) = 20

2(10) = 20

20 = 20

We get the same thing on both sides, so we end up with a true equation. This means the first equation is true when m = 25. The solution has been confirmed.

You might be interested in
HELP ME ITS TIMED AND I WILL GIVE BRAINLIEST!!!!!
Olegator [25]

To find the gradient of a line we first hv to find the formula

so Gradient=√X1-x2and √y1-y2

((-2,1) and (0,-5)) line 1

line 2(0,-1) and (1,0)

first we will work for line 1

X1 is -2

X2 is -0

Y1 is 1

Y2 is -1

so y=x-1

so we substitute the values

1--1=-2--0

so,

1+1=-2+0

2=-2

-0

So the equation 1 line 1 is not true

we will now go to equation 2 line 2

the equation is 3x+y=-5

we substitute the values

3(-2--0)+1--1=-5

3(-2)+-2=-5

-6+-2=-5

-8= -5

group like terms

Ur answer should look like this -3

So the answer is 3x+y=-5

7 0
3 years ago
Emily's vacuum cleaner has a power rating of 200 watts. If the vacuum cleaner does 360,00 joules of work, how long did Emily spe
MArishka [77]
1,800 hrs? im not sure tbh
8 0
3 years ago
What is the value of x?<br><br> I NEED AN ANSWER ASAP!!
Pachacha [2.7K]

Answer:

x = 8

Step-by-step explanation:

Equilateral triangle : congruent angles

3(7x+4) = 180

21x + 12 = 180

21x = 180-12

x = 168/21

x = 8

6 0
3 years ago
Convert 4/7 to 42nds
Mademuasel [1]

Answer:

24... I hoped dis helped.

7 0
2 years ago
A box of laundry detergent contains 35cups. It takes 1 1/4 cups per load of laundry
Dahasolnce [82]

Answer:

I believe it's 28 loads

4 0
2 years ago
Other questions:
  • One adult ticket and 3 children's tickets cost 26.00. 2 adult tickets and 4 children's tickets cost 41.00. how much is 1 adult t
    14·1 answer
  • If x-14=27 then x is
    10·2 answers
  • Maria makes beaded bracelets for sale . The materials for each bracelet cost $3.00 and she sells the bracelets for $8.25 each. T
    10·1 answer
  • A triangle on a coordinate plane is translated according to the rule T-8,4(x,y). Which is another way to write this rule
    5·2 answers
  • In the diagram of O, m∠JOK = 60° and OJ = 6 in. What is the exact area of the shaded region?
    12·1 answer
  • When Emma was born she was 20.5 inches long. At her 6-month checkup, she was 26.25 inches long. Emma's length . Percent Change =
    12·3 answers
  • Has
    5·1 answer
  • Y=(<br><img src="https://tex.z-dn.net/?f=y%20%3D%20%28%20%5Csqrt%7Bx%20%2B%203%7D%20%2B%205%29%20%5E%7B10%20%7D%20" id="TexFormu
    8·1 answer
  • What is the equation of the line parallel to 8x−16y=−14 and passing through (3,0)?
    9·1 answer
  • (10 - 2 )^{2} + ( 5 - 10 ÷ 2 )
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!