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
Vitek1552 [10]
1 year ago
5

In the following diagram, BC is parallel to DE. What is x?

Mathematics
2 answers:
maria [59]1 year ago
7 0

Answer:

21

Step-by-step explanation:

Using alternate interior angles, we can conclude that angle C is equal to X (the 3rd, unmarked angle in the center triangle)

To find that 3rd angle, we can do 180 - 105 - 54. This is because all angles in a triangle must equal 180. Using this, we find that angle C is equal to 21. By the law, X must also equal 21.

SVETLANKA909090 [29]1 year ago
3 0

Answer:

x is 21

Step-by-step explanation:

add 54 and 105, then subtract it by 180 and you get 21.

You might be interested in
Harry is trying to solve the equation 0 = 2x2 − x − 6 using the quadratic formula. He has made an error in one of the steps belo
bija089 [108]
<h3><u>Given</u> - </h3>

➙ a quadratic equation in which Harry lagged due to an error made by him, 2x² - x - 6= 0

<h3><u>To solve</u> - </h3>

➙ the given quadratic equation.

<h3><u>Concept applied</u> - </h3>

➙ We will apply the quadratic formula as given in the question. So, let's study about quadratic equation first because we are supposed to apply the formula in equation.

What is quadratic equation?

➙ A quadratic equation in the variable x is an equation of the form ax² + bx + c = 0, where a, b, c are real numbers, a ≠ 0.

Now, what is quadratic formula?

➙The roots of a quadratic equation ax + bx + c = 0 are given by \sf{\:\frac{-b \pm\: \sqrt {b ^ 2 - 4ac}}{2a}} provided b - 4ac ≥ 0.

<h3><u>Solution</u> - </h3>

here as per the given quadratic equation,

a = 2, b = -1 and c = -6

putting in the formula,

\implies\sf{x=\frac{-(-1) \pm\: \sqrt {(-1)^2 - 4(2)(-6)}}{2(2)}}

\implies\sf{x=\frac{1 \pm\: \sqrt {1+48}}{4}}

\implies\sf{x=\frac{1 \pm\: \sqrt {49}}{4}}

\implies\sf{x=\frac{1 \pm\: 7}{4}}

Solving one by one,

\implies\sf{x=\frac{1 + \: 7}{4}}

\implies\sf{x=\frac{8}{4}}

\implies{\boxed{\bf{x=2}}}

________________

\implies\sf{x=\frac{1 - \: 7}{4}}

\implies\sf{x=\frac{-6}{4}}

\implies{\boxed{\bf{x=\frac{-3}{2}}}}

________________________________

<em><u>Note</u> - Hey dear user!! You haven't provided the solution which was solved by Harry (A.T.Q). Please go through the solution as it will help you to find the error done by Harry.</em>

<em>________________________________</em>

Hope it helps!! (:

4 0
2 years ago
Help I need done ASAP
lora16 [44]

Answer:

3/15 5/25 9/45

Step-by-step explanation:

If you look at 12/60 and simplify it you will get 1/5. Now you just have to apply this to the rest.

3 0
3 years ago
Please help anyone please?
DiKsa [7]
The answer should be 2 1/2 inches over the 2 weeks

hope this helps
4 0
3 years ago
The value of 2 in 2481 is blank times the value of 2 in 5072
kotegsom [21]
The value of 2 in 2481 is 1000 less times the value of 2 in 5072
4 0
3 years ago
I think of a number and add one fourth of it to half of it and the result is twelve. What is the number I thought of?
belka [17]

Suppose that the number u were thinking about is x thus :

\frac{1}{4} x +  \frac{1}{2} x = 12 \\

Multiply both sides by 4

4 \times ( \frac{1}{4} x +  \frac{1}{2} x) = 4 \times 12 \\

x + 2x = 48

3x = 48

Divide both sides by 3

\frac{3x}{3}  =  \frac{48}{3  }  \\

x = 16

3 0
3 years ago
Other questions:
  • Add and simplify 1/5 + 1/10
    15·1 answer
  • The coordinates of the vertices of △JKL are J(1, 4) , K(6, 4) , and L(1, 1) .
    12·2 answers
  • −4(3m−3)+(−10+8m)=?
    10·1 answer
  • A 2-column table with 4 rows titled Drama Club Revenue. Column 1 has entries a percent, a percent, a percent, a percent. Column
    12·2 answers
  • Fuller bought 4 cantaloupes at the grocery store. Each cantaloupe weighed between 4.5 and 6.3 pounds. Fuller estimates a reasona
    15·1 answer
  • Whats 1/2 mineus 1/3
    14·2 answers
  • Write the quotient with the decimal point placed correctly 80 ÷ 50 = 16
    13·2 answers
  • GRANDMA HAS 4 BAGS OF SOIL HER HER FLOWER POTS EACH FLOWER POTS NEEDS 3/4 OF A BAG OF SOIL HOW MANY FLOWER POTS CAN SHE FILL
    14·1 answer
  • en la huerta de Rosio,las tres cuartas partes estan sembradas de papas y un quinto esta sembrado de zanahorias.si el resto no es
    12·1 answer
  • Help please! Use the area to find the value of x:
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!