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
Dmitrij [34]
2 years ago
15

Find the value of x

Mathematics
2 answers:
vodka [1.7K]2 years ago
5 0

Answer:

27 degrees      

Step-by-step explanation:

12: 180 = 3x - 17 + x + 40 + 2x - 5

180 = 6x + 18

180 - 18 = 6x

162 = 6x

x = 27 degrees

Leni [432]2 years ago
5 0

Answer:

Remember the Triangle Angle Sum theory which states that all angles of a triangle add up to 180˚. With this, make the following equation:

(3x-17) + (x + 40) + (2x - 5) = 180

Get rid of parenthesis

3x - 17 + x + 40 + 2x - 5 = 180

Group like terms:

3x + 2x + x + 40 - 17 - 5 = 180

Simplify

6x + 18 = 180

Subtract 18 from both sides.

6x + 18 - 18= 180 -18

6x= 162

Divide both sides by 6

6x/6= 162/6

x= 27

You might be interested in
Tienes un triángulo equilátero con lados de 10cm, lo divides en dos partes de manera horizontal tal que el área de ambos figuras
Tanya [424]

Answer:

x = 10/√2 ≈ 7.07

Step-by-step explanation:

Comenzaremos por dividir el triángulo en dos partes y definir H, como en la figura adjunta.

Aplicando el teorema de Tales, sabemos que:

\dfrac{l/2}{H}=\dfrac{x/2}{h}\\\\\\\dfrac{l}{H}=\dfrac{x}{h}

También sabemos que, dado que el tirángulo menor es la mitad que el triángulo mayor, la relación entre áreas es:

\dfrac{A}{A_x}=\dfrac{lH/2}{xh/2}=\dfrac{lH}{xh}=2

Dado que formamos dos triángulos rectángulos, podemos despejar el valor de H como:

(l/2)^2+H^2=l^2\\\\H^2=l^2-(l/2)^2=10^2-5^2=100-25=75\\\\H^2=\sqrt{75}

Podemos entonces despejar x de la siguiente manera:

h=\dfrac{H}{l}\cdot x=\dfrac{lH}{2x}\\\\\\2x^2\dfrac{H}{l}=lH\\\\\\2x^2=l^2\\\\\\x=\dfrac{l}{\sqrt{2}}=\dfrac{10}{\sqrt{2}}\approx7.07

6 0
4 years ago
You randomly guess the answers to two questions on a multiple-choice test. Each question has three choices: A, B, and C. What is
Maksim231197 [3]
The probabilityof answering one question correctly is 1/3. To do this two times, the probability is 1/3*1/3 = 1/9 ≈ 11%
3 0
4 years ago
There is a line that includes the point (8,3) and has a slope of 1. What is its equation in slope-intercept form?
lorasvet [3.4K]

Answer:

y=x-5

Step-by-step explanation:

y-y1=m(x-x1)

y-3=1(x-8)

y-3=x-8

y=x-8+3

y=x-5

8 0
3 years ago
6x^+4(x^-1) simply this question
antiseptic1488 [7]
1. when you see 4(x² - 1), then you have to multiply 4 with everything in the bracket. keep in mind that you always have to be cautious of the sign whether it is a positive or a negative.

positive ×/÷ positive = positive
negative ×/÷ negative = positive
positive ×/÷ negative = negative
negative ×/÷ positive = negative

^ you have to remember this.

2. only like terms (same alphabet) can plus or minus each other.

3. simplify by taking out the common factor and placing it outside the bracket. though, keep in mind that you also have to divide the terms inside the bracket by the common factor.

8 0
4 years ago
Find the product. 3.8 x 4.2 =
svlad2 [7]

Answer:

15 24/25

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • What is 75% of 200?<br> 50<br> 100<br> 150<br> 170
    8·2 answers
  • Write an absolute value equation that has the given solutions :<br> X = 16 and x = 10
    8·2 answers
  • Write and expression for the difference of p and 4
    14·2 answers
  • This butterfly has 6 spots on each wing. How many spots are on 5 butterflies?
    10·2 answers
  • How to slove h-(-2)≥10 for h
    9·1 answer
  • 8w-18=12w+14 whats the answer
    15·1 answer
  • Joseph and Sanjay are trying to finish their math homework before their favorite TV show starts. Joseph finishes 2/3 of his prob
    12·1 answer
  • Please help me hurry a lot of points
    11·1 answer
  • Point P is located -13, and point Q is located at 8.
    15·1 answer
  • Stephanie has 10,000 she wants to put in a certificate of deposit (CD) account, so she can make the most interest on her money.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!