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
Grace [21]
3 years ago
10

One angle of a triangle has a measure of 36°. The measure of the third angle is 28° less than 3 times the measure of the second

angle. The sum of the angle measures of a triangle is 180°.
1) Define your variable. Write your equation and solve. (No justification necessary.)

2) What is the measure of the second angle?

3) What is the measure of the third angle?
Mathematics
1 answer:
Alex_Xolod [135]3 years ago
8 0

Answer:

  1. Define your variable and write your equation:  36 + b + (3b-28) = 180°.
  2. measure of the second angle: 43°.
  3. measure of the third angle: 101°

Step-by-step explanation:

a = 36

c = 3b - 28

a + b + c = 180°

a = measure of the first angle

b = measure of the second angle

c = measure of the third angle

then:

1)  36 + b + (3b-28) = 180   ⇒ )Define your variable. Write your equation and solve)

b + 3b + 36 - 28 = 180

4b + 8 = 180

4b = 180 - 8

4b = 172

b = 172/4

2)   b = 43°        ⇒   measure of the second angle

c = 3b - 28

c = 3*43 - 28

c = 129 - 28

3) c = 101°      ⇒   measure of the third angle

Check:

36° + 43° + 101° = 180°

You might be interested in
​Yesterday, Jack drove 33 and one half
borishaifa [10]

change each mixed number to an improper fraction

33 1/2 = (2*33 +1)/2 67/2

1 1/4 = (4*1+1)/4 = 5/4

67/2 divided by 5/4

copy dot flip

67/2 * 4/5

268/10

26 8/10

26 4/5 miles per gallon

3 0
3 years ago
Read 2 more answers
Add 6.004 + 0.08 + 954 + 3.5 =
stiv31 [10]
The answer is 963.584.
3 0
3 years ago
Read 2 more answers
What two numbers multiply to -52 and add up to 24
harkovskaia [24]

Answer:

-2 and 26

Step-by-step explanation:

Multiply to -52:

-2 * 26= -52

Add to 24

-2+26= 24

8 0
3 years ago
Read 2 more answers
Logan wants to move to a new city. He gathered graphs of temperatures for two different cities. Which statements about the data
Bad White [126]

Answer:

The correct options are;

Therefore, City A is likely to have temperatures that remain fairly constant all year round because it has a compact interquartile range compared to that of City B

City B is likely to have more extreme temperatures with colder days in the winter and hotter days in the summer because the range is greater than that of A

Step-by-step explanation:

Here we have for City A

Maximum - Minimum = 10

Interquartile range =3

City B

Maximum - Minimum = 18.5

Interquartile range =9.5

Therefore, City A is likely to have temperatures that remain fairly constant all year round because it has a compact interquartile range compared to that of City B

City B is likely to have more extreme temperatures with colder days in the winter and hotter days in the summer because the range is greater than that of A.

7 0
3 years ago
Read 2 more answers
the eagle trucking company must deliver 7/8 ton of cement blocks and 5/8 ton of bricks how much will this load weigh?
Mademuasel [1]
This load will weigh 1.5 TONS ALTOGETHER.

So, the truck is delivering a \frac{7}{8} ton of cement blocks, and a \frac{5}{8} of bricks. To find how much this load weighs, we'd have to add the two fractions together, which proves to be quite easy, because the denominators are already the same, so we wouldn't have to change anything.

\frac{7}{8} + \frac{5}{8} = \frac{12}{8}

And now, we would want to convert that fraction into a whole number, or at least a decimal, to find how many tons the truck is carrying. So we would divide. Once the work is done, here is what would happen:

12 ÷ 8 = 1.5

And there's your answer. The truck is carrying 1.5 TONS.
4 0
3 years ago
Other questions:
  • What percentage is 762 out of 1000
    14·2 answers
  • How to find surface area
    12·2 answers
  • Arlene sleeps for 7hr20min each night. How many hours does she sleep in a week? Write your answer as a mixed number, e.g., 1312.
    14·2 answers
  • 3x+2=9+2x what is x?
    13·2 answers
  • How many solutions are there to the questiom below <br> 6x+35+9x=15(x+4)-25
    12·1 answer
  • Find Volume for the cones. Round to the nearest TENTH. (A) Radius of 2 in, and a height of 4 inches (B) Diameter of 6 m, and a h
    10·1 answer
  • 2x^2+15x=8<br>factor or solve as indicated, show all work.<br>please and thank u!​
    10·1 answer
  • There is also a second step it says
    11·1 answer
  • Help pls!?!?!?!!! This is algebra 2
    11·1 answer
  • I need help with this please
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!