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
Leni [432]
3 years ago
13

Find the value of x in each case:

Mathematics
1 answer:
Soloha48 [4]3 years ago
4 0

Answer:

x = 36

Step-by-step explanation:

To obtain the value of x, we must first obtain the value of y and z as shown in the attached photo.

i. Determination of y

2x + y = 180 (angle on a straight line)

Rearrange

y = 180 – 2x

ii. Determination of z.

z + 4x = 180 (angle on a straight line)

Rearrange

z = 180 – 4x

iii. Determination of x

x + y + z = 180 (sum of angles in a triangle)

But:

y = 180 – 2x

z = 180 – 4x

Therefore,

x + y + z = 180

x + 180 – 2x + 180 – 4x = 180

Collect like terms

x – 2x – 4x = 180 – 180 –180

– 5x = – 180

Divide both side by – 5

x = – 180 / – 5

x = 36

Therefore, the value of x is 36.

You might be interested in
Find the sine of R. <br> A)12/13<br> B)13/12<br> C)5/12<br> D)5/13
enot [183]

Answer:

5/13

Step-by-step explanation:

sin R = opp side/ hypotenuse

sin R = 5/13

5 0
3 years ago
Find the values of x and y
Anastasy [175]

Answer:

X=20

Y=70

Step-by-step explanation:

All angles within a triangle add up to 180

180 - 40 = 140

140 is the top angle of the big triangle

140 + x + x = 180

x = 20

Now use x to find y by subtracting from the right angle (90 degrees)

90 - 20 = 70

70 + 40 + y = 180

Y = 70

8 0
2 years ago
Rename as a mixed number in simplest form. 15 22/20
Semenov [28]
16 1/10
Because you have 15 and then for 22/20 it is a improper fraction so take 20 away from it to get 2/10 then add 1 to 15 for 16 and then simplify 2/20 to 1/10
8 0
2 years ago
Read 2 more answers
Write the number 4.2 x 10^2 in standard form.
Sav [38]

Answer:

420 (lol)

Step-by-step explanation:

6 0
3 years ago
A farmer has 64 feet of fence to enclose a rectangular vegetable garden. which dimensions would result in the biggest area for t
Blababa [14]
The dimensions that would result to maximum area will be found as follows:
let the length be x, the width will be 32-x
thus the area will be given by:
P(x)=x(32-x)=32x-x²
At maximum area:
dP'(x)=0
from the expression:
P'(x)=32-2x=0
solving for x
32=2x
x=16 inches
thus the dimensions that will result in maximum are is length=16 inches and width=16 inches

7 0
2 years ago
Other questions:
  • Joel built a model town. He constructed three buildings that each had a volume of 18 cm cubed. Each building looked different. W
    12·1 answer
  • Need help with this please it's on exponential functions
    12·1 answer
  • Which graph represents a function?
    11·1 answer
  • Find the volume of the figure.
    11·1 answer
  • 2g to the second power divided by 4g
    8·1 answer
  • 6*10^-2 is how many times as large as 2*10^-8
    5·2 answers
  • What is the value of x for the point with a y-value of 6?
    14·2 answers
  • 3/7 0f what number is 9?
    12·2 answers
  • i drink 10 liters of water on weekdays and 4 liters of water on the weekend how many liters of water i drink per day
    9·1 answer
  • PLS HELP!!! need the answer asap
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!