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
Snowcat [4.5K]
3 years ago
5

If m<2= 7x + 7, m<3= 5y, and m<4 = 140, find the values of x and y.

Mathematics
1 answer:
lbvjy [14]3 years ago
4 0
Angles 1 & 3 have to be equal by the opposite angle theorem. Angles 2 & 4 also have to be equal because of this theorem. 

Therefore, you set 2 & 4 equal and solve for x.
7x + 7 = 140.
You should get x=19.

You now need to set 1 & 3 equal, but you aren't give angle 1.
You can find 1 because you know angle 1  + angle 2 = 180 degrees.

Therefore,
angle 1 is unknown (z)
angle 2 is equal to angle 4 which is 140 degrees.
140 + z = 180
z = 40 

Now you set angle 3 to angle 1:
5y = 40
y = 8

You might be interested in
HELP ME PLEASE PLEASE I BEG
Tatiana [17]

Answer:

the second one

Step-by-step explanation:

He paid $271.75 in total so we know that, that value won't be apart of the expression. He paid $12.50 for each student so you add x to the end. And we know that he paid $134.25 on food.

3 0
3 years ago
When Legs jumps 2 times and takes 13 steps forward, he lands in the same place as when he jumps 4 times and takes 5 steps backwa
tangare [24]

Answer:

9 steps

Step-by-step explanation:

Let x be the number of jumps

and y be the number of steps

So the first case

2x+13y

Second case

4x-5y

Both cover equal distances so

2x+13y=4x-5y

\Rightarrow 2x-4x=-5y-13y

\Rightarrow 2x=18y

\Rightarrow x=9y

So, one jumps is 9 steps.

4 0
3 years ago
Which is greater 25 percent or 12.5 percent
Vesnalui [34]

Answer is 25 percent

8 0
4 years ago
The length of bills backyard swimming pool is 60 feet longer than the width of the pool. The surface area of the water is 1600 s
shutvik [7]

Answer:

The width is 20 ft and the length is 80 ft

Step-by-step explanation:

Area = l * w

l = w +60

SA = 1600 ft^2 ( which is the regular area)  The surface area of the water is just what is on top  which is length times width

1600 = l*w

Substitute in l = w+60

  1600       = (w+60) *w

Distribute the w

1600 = w^2 +60w

Subtract 1600 from each side

1600-1600 = w^2 + 60w -1600

0 =  w^2 + 60w -1600

Factor

0=(w-20) (w+80)

Using the zero product property

w-20=0   w+80 =0

w=20  or w=-80

The width cannot be negative   so

w=20

Now we need to find the length

l = w+60

l = 60+20

l =80

7 0
3 years ago
What is the total amount of fabric needed to make the tent with the following dimensions?
-Dominant- [34]
The answer is 30 for all the dimensions
8 0
3 years ago
Other questions:
  • It is a widely held belief that a typical piece of printer paper with a thickness of 0.1 mm can go through at most 7 folds. When
    6·2 answers
  • Choose the equation of the horizontal line that passes through the point (−2, −1). (5 points)
    7·1 answer
  • Professional football field is 160 feet wide what's the width of the field in yards
    8·1 answer
  • If NC = 12, RS = 4, and SC = 6, find MN.
    11·2 answers
  • What is the equation of 2y - 7 = 35
    11·1 answer
  • GIVING BRAINLIST ASAP
    5·2 answers
  • Find the time (in seconds ) taken for the following journey:<br> 100 km at a speed of 40 km/hour.
    5·2 answers
  • Debbie runs 4 miles during each track practice. How many track practices would it take for Debbie to run 8 miles?
    11·1 answer
  • Solve x^2- 2x - 4 = 0
    7·2 answers
  • Donna bought a notebook for $3.50 and then spent half of her money for a textbook. Next she bought sheet music for $4.00 and the
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!