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
atroni [7]
3 years ago
14

Can someone help me solve this? I will need the x and y and will also need to solve for angles 1, 2, 3, and 4.

Mathematics
1 answer:
MAXImum [283]3 years ago
3 0

Answer:

x = 20,

y = 15

m<1 = 75°

m<2 = 75°

m<3 = 75°

m<4 = 105°

Step-by-step explanation:

m<1 = 3x + 15

m<2 = 4x - 5

m<3 = 5y

✔️m<1 = m<2 (corresponding angles are congruent)

3x + 15 = 4x - 5 (substitution)

Collect like terms

3x - 4x = -15 - 5

-x = -20

Divide both sides by -1

x = 20

✔️m<3 = m<2 (corresponding angles are congruent)

5y = 4x - 5 (substitution)

Plug in the value of x and solve for y

5y = 4(20) - 5

5y = 80 - 5

5y = 75

5y/5 = 75/5

y = 15

✔️Find the measure of each labelled angle:

x = 20, y = 15

Thus:

m<1 = 3x + 15 = 3(20) + 15

m<1 = 75°

m<2 = 4x - 5 = 4(20) - 5

m<2 = 75°

m<3 = 5y = 5(15)

m<3 = 75°

m<4 + m<3 = 180° (same side interior angles are supplementary)

m<4 + 75° = 180° (substitution)

m<4 = 180° - 75° (subtraction property of equality)

m<4 = 105°

You might be interested in
Did I solve correctly?
faust18 [17]

5 {x}^{2}  + 536 = 651 \\ 5 {x}^{2}  = 651 - 536 =115  \\  {x}^{2}  =  \frac{115}{5}  = 23 \\ x =  +  -  \sqrt{23}  =  +  - 4.79

6 0
3 years ago
Solve the equation x² + 6x + 1 = 0. give your answer to two decimal places
Alexandra [31]

Answer:

x ≈ - 5.83 , x ≈ - 0.17

Step-by-step explanation:

x² + 6x + 1 = 0 ( subtract 1 from both sides )

x² + 6x = - 1

Using the method of completing the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(3)x + 9 = - 1 + 9

(x + 3)² = 8 ( take square root of both sides )

x + 3 = ± \sqrt{8} ( subtract 3 from both sides )

x = - 3 ± \sqrt{8}

Then

x = - 3 - \sqrt{8} ≈ - 5.83 ( to 2 dec. places )

x = - 3 + \sqrt{8} ≈ - 0.17 ( to 2 dec. places )

5 0
3 years ago
Mrs. Klein delivered 3 books to 11 classrooms and 4 books to 6 classrooms.How many books did Mrs. Klein deliver to all the class
spayn [35]
3 times 11 is 33 and then 4 times 6 is 24 then you add the 33+24 and the answer is 57 books in total to all the classrooms
5 0
3 years ago
a car manufacturere is considering location an assembly plant in your region. List two simple, two intermediate, and two complex
Ludmilka [50]

Answer:simple problems

inadequate spare parts and unskilled mechanic

Intermediate problems: poor road networks and insufficient space for workshop

Complex problems:Government instability and climatic condition

Step-by-step explanation:

Simple problem

1. Inadequate spare part: If there is low or no spare part at all, the company would encountered some set back to help accelerate the operation of the company.

2. Unskilled mechanic : in case of any technical or mechanical fault, the company needs a specialist to help put the plant in order if not there would a problem.

Intermediate problems

1. Poor road networks: it is pertinent and paramount that poor road network for availability could result to low patronage from the customers.

2. Lack of space: If there is limited or small space could cause a hindrance in establishing a plant in the region.

Complex problem

1. Government instability :If there is poor government policies, it could contribute to lack of interest from both the manufacturer and the customers that patronises.

2. Climatic condition :unfavourable climate condition that could lead to displacement of people in the society can affect the success of the plant in the stipulated region.

8 0
3 years ago
Which choice gives the solution of this inequality?<br> 3t + 7 &lt; 28
Butoxors [25]

Answer:7

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • (x^ 3 + y ^3) divided by (x - y)
    10·1 answer
  • For two independent​ events, A and​ B, ​P(A)equals . 3 and​P(B)equals . 2 . a. Find ​P(Aintersect ​B). b. Find​ P(A|B). c. Find
    6·1 answer
  • Which expression is equivalent to 3x+10−x+123x+10−x+12 ?
    6·1 answer
  • Monique Fournier deposited $12,500 into a savings account paying 6.5% annual interest compounded monthly. What amount will she h
    6·1 answer
  • Isabelle has $84.00 in her account on Sunday. Over the next week, she makes the following changes to her balance via deposits an
    8·1 answer
  • <img src="https://tex.z-dn.net/?f=v%20%3D%20%20%5Cfrac%7Ber%7D%7Br%20%2B%20a%7D%20" id="TexFormula1" title="v = \frac{er}{r + a
    5·2 answers
  • What is 2 6/7 - 5 4/7 =
    13·2 answers
  • Construct the graph of the equation given by solving for the intercepts. Show all of the steps in finding the
    10·1 answer
  • Please Help i realy need help giveing brainlest
    12·1 answer
  • The sooner the better
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!