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
Sidana [21]
2 years ago
14

In ΔSTU, m∠S=(11x+3)∘,∠T=(2x+16)∘, and m∠U=(x+7)∘. Find .

Mathematics
1 answer:
frozen [14]2 years ago
6 0

Answer:

x = 11

Step-by-step explanation:

In ΔSTU ,

m∠S = (11x+3)° ; m∠T = (2x+16)° ; m∠U = (x+7)°

According to angle sum property of a triangle , sum of all the interior angles of the triangle is 180°.

So,

11x + 3 + 2x + 16 + x + 7 = 180

=  > 14x + 26 = 180

=  > 14x = 180 - 26 = 154

=  > x =  \frac{154}{14}  = 11

You might be interested in
An instructor gives her class the choice to do 7 questions out of the 10 on an exam.
Maksim231197 [3]

Answer:

(a) 120 choices

(b) 110 choices

Step-by-step explanation:

The number of ways in which we can select k element from a group n elements is given by:

nCk=\frac{n!}{k!(n-k)!}

So, the number of ways in which a student can select the 7 questions from the 10 questions is calculated as:

10C7=\frac{10!}{7!(10-7)!}=120

Then each student have 120 possible choices.

On the other hand, if a student must answer at least 3 of the first 5 questions, we have the following cases:

1. A student select 3 questions from the first 5 questions and 4 questions from the last 5 questions. It means that the number of choices is given by:

(5C3)(5C4)=\frac{5!}{3!(5-3)!}*\frac{5!}{4!(5-4)!}=50

2. A student select 4 questions from the first 5 questions and 3 questions from the last 5 questions. It means that the number of choices is given by:

(5C4)(5C3)=\frac{5!}{4!(5-4)!}*\frac{5!}{3!(5-3)!}=50

3. A student select 5 questions from the first 5 questions and 2 questions from the last 5 questions. It means that the number of choices is given by:

(5C5)(5C2)=\frac{5!}{5!(5-5)!}*\frac{5!}{2!(5-2)!}=10

So, if a student must answer at least 3 of the first 5 questions, he/she have 110 choices. It is calculated as:

50 + 50 + 10 = 110

6 0
3 years ago
You have a large container of petrol. You have used 320 quarts of petrol. Eighty percent of the petrol remains. How many quarts
Oduvanchick [21]

Answer:

256 quarts remain.

Step-by-step explanation:

.8x320=256

7 0
2 years ago
What is the sum of (2x4 + 5x3 - 8x2 - x + 10) and (8x4 - 4x3 + x2 - x + 2)?
balu736 [363]

Option D: 10x^4+x^3-7x^2-2x+12 is the right answer

Step-by-step explanation:

Given polynomials are:

P_1 : 2x^4+5x^3-8x^2-x+10\\P_2: 8x^4-4x^3+x^2-x+2

We have to find the sum of polynomials

So,

S = P_1+P_2\\= (2x^4+5x^3-8x^2-x+10) + (8x^4-4x^3+x^2-x+2)\\=2x^4+5x^3-8x^2-x+10+8x^4-4x^3+x^2-x+2\\

Combining like terms

=2x^2+8x^4+5x^2-4x^3-8x^2+x^2-x-x+10+2\\= 10x^4+x^3-7x^2-2x+12

Hence,

Option D: 10x^4+x^3-7x^2-2x+12 is the right answer

Keywords: Polynomials, sum

Learn more about polynomials at:

  • brainly.com/question/2116906
  • brainly.com/question/2131336

#LearnwithBrainly

3 0
3 years ago
Read 2 more answers
in a box of chocolates, 1/5 of the chocolates contain nuts. the rest of the chocolates do not contain nuts. write down the ratio
valina [46]

Answer:

The ratio of the number of chocolates that contain nuts to the number of chocolates = 1:4

Step-by-step explanation:

The parameters given are;

Proportion of the box of chocolates that contain nuts = 1/5

Proportion of the box of chocolates that do not contain nuts = 1 - 1/5 = 4/5

Therefore, we have in a box of chocolates with five chocolates;

The number of chocolates that contain nuts = 1

The number of chocolates that do not contain nuts = 4

Which gives the ratio of the number of chocolates that contain nuts to the number of chocolates as 1:4.

4 0
2 years ago
Type the correct answer in each box. Use numerals instead of words.
sweet [91]
Answer: -(x + 3)^2 = 3

Explanation:

-x^2 - 6x + 6 = 0
-x^2 - 6x = -6
-x^2 - 6x + 9 = -6 + 9
-(x + 3)^2 = 3
6 0
3 years ago
Read 2 more answers
Other questions:
  • Circle the vertex of the angle.
    11·1 answer
  • I spent 80% of my money and had $12 left. How much money did I have to start ?
    12·1 answer
  • Solve.<br> 2x + 6 ≥ -8<br><br> A.) x ≥ -8<br><br> B.) x ≤ -8<br><br> C.) x ≥ -5<br><br> D.) x ≤ -5
    7·1 answer
  • What is 2.5 h = 1 min
    5·1 answer
  • Can me get help please?¿
    10·1 answer
  • In 1943, the temperature in Rapid City, South Dakota, fell about 45 degrees in 5 minutes. What was the average drop in temperatu
    6·1 answer
  • Can someone please help i have until 12am which is 45 minutes away for me!!
    10·1 answer
  • ANSWERS
    14·1 answer
  • In this unit, you solved two-step equations. A two-step equation is an equation of the form px + q = r. It takes two steps to so
    8·1 answer
  • Could someone help me with number 19. PLEASE! thanks. :)
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!