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
Verizon [17]
3 years ago
7

In triangle ABC, the measure of angle B is 34° more than three times the measure of angle A. The measure of angle C is 56° more

than the measure of angle A. Find the measure of each angle.​
Mathematics
1 answer:
NemiM [27]3 years ago
3 0

Answer:

A = 18

B = 88

C = 74

Step-by-step explanation:

Givens

B = 3*A + 34

C = A + 56

Equation

A + B + C = 180

Solution

A + 3A + 34 + A +56 = 180   Collect like terms

5A + 90 = 180                  Subtract 90 from both sides

5A = 180 - 90

5A = 90                            Divide by 4

A = 90 / 5

A = 18

Answer

B = 18*3 + 34 = 54 + 34 = 88

C = 74

Check

A + B + C = 18 + 88 + 74

A + B + C = 180 as it should.

You might be interested in
CHCK Farms raises hens and roosters. They have enough space to raise at most 300 birds per year. Each hen eats 80 pounds of food
svp [43]

<u>Answer</u>:

The number of hens is 100 and the number of roosters is 200.

<u>Step-by-step explanation:</u>

Let the number of hens be x and the number of roosters be y

then the total number of  hens and roosters, is 300

so,

x+y \leq 300----------------------------(1)

Also  the hen eats 80 pounds of food per year and roosters eats 60 pounds of food per year,

80x+60y \leq 20000----------------(2)

To solve the equations , multilpy eq(1) by 80

80x+80y \leq 24000------------------(3)

Subracting (2) from (3)

20y \leq 4000

y \leq 200

substituting y in eq(1) we get

x+200 \leq 300

x \leq 300-200

x \leq 100

7 0
3 years ago
A $70 jacket is on sale for 20% off. Each of the following strategies could correctly be used to find the amount of the discount
liraira [26]

Answer:

divide $70 by 0.2

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Given that f(x) = 2x − 5, find the value of x that makes f(x) = 15.
nexus9112 [7]
2x-5=15
2x=20
x=10
the answer is B
8 0
3 years ago
Find the value of x in the equation 2(x – 3) + 5x = 5(2x + 6).
bija089 [108]
The answer is D.-12 hope this helps.
4 0
3 years ago
Read 2 more answers
in one week a kiln removes 1/3 of the moisture from a stack of wood. What fraction of the moisture remains in the lumber after 5
Evgesh-ka [11]

Answer:

-1 2/3 that's the best i could do sorry if its wrong

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Barbara draws pens randomly from a box containing 5 pens of the same shape and size. There is 1 green pen, 3 red pens, and 1 blu
    5·1 answer
  • Pls help me on part B ;
    8·1 answer
  • FIND THE UNIT RATE .ROUND TO THE NEAREST HUNDRETH IF NESSARY (SUSAN PAID $7.40 FOR 5 POUNDS OF GREEN GRAPES?)
    6·1 answer
  • If a globe rotates through 150 degrees in 5 seconds, how many rotations does it make in 30 seconds
    14·2 answers
  • What is 2(95x-24)+8(67x-10)=7x-28+30
    8·2 answers
  • 4(b+1) ≤ 2(2b+1)+1<br> Is this equation no solution?<br> Very important
    6·2 answers
  • Simplfy <img src="https://tex.z-dn.net/?f=8x-5%2B2x%5Cfrac%7Bx%7D%7By%7D" id="TexFormula1" title="8x-5+2x\frac{x}{y}" alt="8x-5+
    14·1 answer
  • Pls help I will give brainliest
    9·1 answer
  • The area of a rectangular piece of cardboard is 36 sq cm and its length is 9 cm. What is the width of the cardboard
    15·1 answer
  • Helpppppppppp plz..............
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!