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
zavuch27 [327]
3 years ago
12

Given that AD and BC are parallel, find the value of x.

Mathematics
1 answer:
larisa [96]3 years ago
6 0

Answer:

Therefore the value of x is 15.

Step-by-step explanation:

Given:

AD || BC

m∠ B = (9x + 15)°

m∠ A = (3x - 15)°

To Find:

x = ?

Solution:

AD || BC       ...............Given

If two lines are parallel and sum of the interior angles are supplementary.

i.e m∠ B and m∠ A are interior between Parallel lines.

∴ \angle B + \angle C =180\\

Substituting the given values we get

∴ (9x + 15)+( 3x - 15)=180\\12x=180\\\\x=\frac{180}{12} \\\\\therefore x =15

Therefore the value of x is 15.

You might be interested in
Solve the inequality <br> 29-2(3-5w) 13
valentinak56 [21]

Answer:

29-2(2w)13

29-2(26w)

29-52w

w=52÷29

7 0
3 years ago
3 ice cream cones cost $8.25. At this rate , how much do 2 ice cream cones cost?
myrzilka [38]

Answer:

5.5

Step-by-step explanation:

8.25/3=2.75

2.75 times 2 is 5.5

4 0
2 years ago
Use the net to compute the surface area of the three-dimensional figure.
Grace [21]

9514 1404 393

Answer:

  382 square units

Step-by-step explanation:

The central four rectangles down the middle of the net are 9 units wide, and alternate between 8 and 7 units high. Then the area of those four rectangles is ...

  9(8+7+8+7) = 270 . . . square units

The rectangles making up the two left and right "wings" of the net are 8 units high and 7 units wide, so have a total area of ...

  2×(8)(7) = 112 . . . square units

Then the area of the figure computed from the net is ...

  270 +112 = 382 . . . square units

__

<em>Additional comment</em>

You can reject the first two answer choices immediately, because they are odd. Each face will have an area that is the product of integers, so will be an integer. There are two faces of each size, so <em>the total area of this figure must be an even number</em>.

You may recognize that the dimensions are 8, 8+1, 8-1. Then the area is roughly that of a cube with dimensions of 8: 6×8² = 384. If you use these values (8, 8+1, 8-1) in the area formula, you find the area is actually 384-2 = 382. That area formula is A = 2(LW +H(L+W)).

3 0
3 years ago
A recipe for four dozen cookies requires 1 1/2 cups of flour. How much flour is needed for one dozen cookies ?
Arada [10]
1 1/2 cups = 3/2. 3/2 divided by 4 = 3/2 x 1/4 = 3/8 cup
4 0
3 years ago
Math question I need help with
Greeley [361]
F(x) = (x - 4) (x^2 + 4) would be your answer.
4 0
2 years ago
Other questions:
  • Write a paragraph response to the math prompt. (5-6 complete sentences) Include a topic sentence, supporting sentences and concl
    5·1 answer
  • A unit of volume with dimensions 1 unit × 1 unit × 1 unit
    14·2 answers
  • What is 89 divided by 6 in long division
    6·2 answers
  • What is the missing leg of 17 and 8
    11·1 answer
  • What’s the length of the hypotenuse of a right triangle if the length of one leg is 7 units and the length of the other leg is 1
    13·2 answers
  • If y=9 when x=7 find y when x=2?
    12·1 answer
  • How i give answer ,how i got like. Brainly is so unfair​
    10·1 answer
  • Solve equation<br><br>2x - 7x + 10 = -2
    9·2 answers
  • Rewrite each expression without parentheses:
    14·2 answers
  • Which sequences are geometric? check all that apply.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!