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
boyakko [2]
3 years ago
12

The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times

the measure of the first angle. The third angle is 10 more than the second.
Mathematics
1 answer:
erastova [34]3 years ago
6 0

Answer:

first angle be 30°

second angle be 70°

third angle be 80°

Step-by-step explanation:

first angle be x

second angle be y

third angle be z

x+y+z=180

given, y+z = 5x; z=5x-y

also, z=y+10

5x-y = y+10

5x= 10+y+y = 10+2y

x= (10+2y)/5

x+y+z=180

(10+2y)/5 + y + y+10 = 180

(10+2y)/5 = 180 -2y -10

(10+2y)/5 = 170-2y

multiply both sides by 5

10+2y = 5(170-2y)

10+2y= 850-10y

2y+10y = 850-10

12y= 840

y= 840/12 = 70°

z=y+10 =70+10= 80°

5x= (10+2y) = 10+2(70) = 10+140= 150

x = 150/5 = 30°

You might be interested in
The sum of 5 is equal to 8 less than 6 times y
Alisiya [41]

Answer: 5 = 6 -8y

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
To make lemonade, you used one quart of water, one pint of lemon juice, and 9 ounces of your secret ingredient: honey. How much
devlian [24]
1 qt = 2 pt. 
2 pt. = 32 fl. oz. 

1 pt. = 16 fl. oz.

32 + 16 + 9= 57 oz. You make 57 fl. oz. of Lemonade. Hope I could help!. 
6 0
3 years ago
Read 2 more answers
What is 10^-10 in decimal form?
S_A_V [24]
10^-10 in decimal form is 0.000000001. Because the exponent is negative, you move the decimal point ( decimal point is at the end of 0 of the base number 10) 10 place to the right of 10 and u get the answer above. I discarded the 0 later in the answer because now that you've moved the decimal, that 0 have no value. But when forming it in decimal you have to use that 0 or you will get a wrong answer, instead of eight 0's, you will end up with nine 0's.
6 0
3 years ago
Ishaan and his friends have 40$ to spend at a restaurant.
Paul [167]

The number of salads Ishaan and his friends can afford is 6 salads.

<h3>What are Word Problems?</h3>

Word Problems in mathematics involve crucial understanding and the use of variables and arithmetic operations to solve real-life cases.

From the given information;

  • The total amount with Ishaan and his friends = $40
  • If they decided to spend the money on salad(x) and one salad(x) cost = $6

Thus, the number of salads they can purchase is:

\mathbf{x = \dfrac{\$40}{\$6}}

x = 6 salads remaining $4

Therefore, we can conclude that the number of salads they can purchase with $40 is 6 salads with a remaining amount of $4.

Learn more about word problems here:

brainly.com/question/21405634

3 0
2 years ago
If the length of a leg of a triangle is 39.2 and the area of the triangle is 63 what is the length of the other leg
Nadya [2.5K]

Answer:

The length of the other leg is 3.21\ units

Step-by-step explanation:

I will assume that the triangle is a right triangle

In a right triangle the legs are perpendicular

so

The area of a right triangle is equal to

A=\frac{1}{2}(a)(b)

where

a and b are the legs of the triangle

In this problem we have

a=39.2\ units

A=63\ units^{2}

substitute the values

63=\frac{1}{2}(39.2)(b)

126=(39.2)(b)

b=126/(39.2)=3.21\ units

7 0
3 years ago
Other questions:
  • Nicole simplifies 2^a*2^5/2^b to 2^(a-b+5). Which two properties of exponents did she use while simplifying the expression?
    11·1 answer
  • What is 1/2 divided by what 1/6
    14·2 answers
  • The value π ≈ 3.14, and round your answer to three decimal places.
    11·2 answers
  • Determine the rate of change fr -2y- 16x=41
    12·1 answer
  • How can i solve this?
    9·1 answer
  • What solid figure has congruent squares on all six sides
    10·1 answer
  • You and six friends go to the movies. Your friend carter collects the money. How much do each of you give carter?
    5·2 answers
  • Given ABCD and D = 145, what is the measure of B? A. 145 B.35 C. 90 D. 235 E. 10 F. 55 DEGREES
    13·2 answers
  • What multiplies to -120 and adds up to 19
    6·1 answer
  • Can you help me with this? 7
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!