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
KATRIN_1 [288]
3 years ago
8

The size of the largest angle in a triangle is 4 times the size of the smallest angle.

Mathematics
1 answer:
Alecsey [184]3 years ago
8 0

Answer: 23°, 65° and 92°

Step-by-step explanation:

a + b + c = 180 (The angles of a triangle equals to 180)

a = 4c (the largest angle is 4 times the smallest angle)

b = 4c - 27 (the final angle is 27 less than the largest angle)

c = c

Now that we have gotten the values for the variables in our equation, we plug them in:

4c + 4c - 27 + c = 180

Combine like terms:

4c + 4c + c - 27 = 180

9c - 27 = 180

9c = 180 + 27

9c = 207

Divide both side by 9

c = 23

a= 4c

a = 4 × 23

a = 92

b = 4c - 27

b = 92 - 27

b = 65

b = 65

Check:

a + b + c = 180

92 + 65 + 23 = 180

180 = 180

You might be interested in
The isotope cobalt-60 has a nuclear mass of 59.933820 u
Lesechka [4]
Cobalt has an atomic number (Z) of 27, which means the nuclei of all its isotopes have 27 protons. Cobalt 60 has an atomic mass of 60, so it has 60-27 = 33 neutrons.

The mass of 27 isolated protons plus the mass of 33 isolated neutrons would be:

27*(1.007825 u) + 33*(1.008665 u) = 60.497220 u

The actual mass of the nucleus of 60-Co is 59.933820 u.

Mass defect: 60.497220 u - 59.933820 u = 0.563400 u

The mass defect is equal to the binding energy of a nucleus.
using the fact that 1 u = 931.5 MeV/c^2

(0.563400 u)*(931.5 MeV/u) = 524.807 MeV

3 0
3 years ago
(06.04 MC)
ratelena [41]

Answer:

54 sq units

Step-by-step explanation:

The triangle at the top (FAB) has a base of 10 and a height of 3. Area of triangle is 1/2bh so 1/2(10 * 3) = 1/2 * 30 = 15 sq units

If you cut off the triangle you have a trapezoid, EBCD. A trapezoid is (b1 + b2)/2 * h, so (6 + 7)/2 * 6 = 13/2 * 6 = 6.5 * 6 = 39 sq units

Add them together: 15 + 39 = 54 sq units

7 0
2 years ago
Bill is buying apples and tomatoes from the grocery store. The apples cost $1.00 per pound, and tomatoes cost $0.50 per pound. H
kati45 [8]

Answer:The answer is 5 pounds of apples

Step-by-step explanation:

5 0
3 years ago
Eric and frank want to equally share 4/3 feet of rope. What length of rope should each friend get? Explain how to use a drawing
Pani-rosa [81]
I hope u can understand...

5 0
3 years ago
Read 2 more answers
Sandy had 10 dollars in her collection. she gave 3 to her younger sister. her parents were so impressed that they quadrupled (le
Natali5045456 [20]
She had $100 and she gave $3 to her sister so $10-$3=$7 and her parent quadrupled her remaining dollars which was $7 so $7x4=$28 the answer is $28
3 0
3 years ago
Read 2 more answers
Other questions:
  • Lynne used 3/8 cup of flour and 1/3 cup of sugar in a recipe. what number is a common denominator for 3/8 and 1/3?
    7·2 answers
  • How many times does 7 go into 2,400
    13·2 answers
  • Can someone check these questions?
    15·1 answer
  • I need help guys get 10 points
    12·1 answer
  • A wheelchair ramp is to be built beside the steps to the campus library. Find the angle of elevation of the 20​-foot ​ramp, to t
    5·1 answer
  • Jose wrote the number 36. If his rule is add 6, what is the fourth
    8·2 answers
  • 3x^2 − 16x + 2 = 0
    15·1 answer
  • A scale drawing of a living room is shown below 5.5 inches and 3 inches scale 1:30 what is the area of the actual living room? R
    10·1 answer
  • What is the correct equation for the line in slope-intercept form?
    10·1 answer
  • 3 is the characteristic in the logarithm of the number
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!