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
e-lub [12.9K]
3 years ago
5

If l parallel m find the value of x and y​

Mathematics
1 answer:
Katarina [22]3 years ago
5 0

Answer:

14. x = 16; y = 23

15. x = 9; y = 13

Step-by-step explanation:

14. (4x + 4) = (7x - 44) (alternate exterior angles are congruent)

4x + 4 = 7x - 44

Collect like terms

4x - 7x = -4 - 44

-3x = -48

Divide both sides by -3

x = -48/-3

x = 16

39° + (8y - 43)° = 180° (consecutive exterior angles are supplementary)

39 + 8y - 43 = 180

Add like terms

-4 + 8y = 180

Add 4 to both sides

8y = 180 + 4

8y = 184

Divide both sides by 8

y = 184/8

y = 23

15. (15x - 26)° = (12x + 1)° (alternate exterior angles are congruent)

15x - 26 = 12x + 1

Collect like terms

15x - 12x = 26 + 1

3x = 27

Divide both sides by 3

x = 27/3

x = 9

28° + (12x + 1)° + (4y - 9)° = 180° (sum of interior angles of ∆)

Plug in the value of x

28 + 12(9) + 1 + 4y - 9 = 180

28 + 108 + 1 + 4y - 9 = 180

Add like terms

128 + 4y = 180

Subtract 128 from each side of the equation

4y = 180 - 128

4y = 52

Divide both sides by 4

y = 52/4

y = 13

You might be interested in
Write a function file to evaluate the function g(x)x, even if x is a vector of numbers. Use the name g for this function so that
stiks02 [169]

Answer:

hiiiiii

berryryry.commxx

4 0
3 years ago
The sum of the roots of 8x^2- 2x
Andrews [41]

Answer:

1/4

Step-by-step explanation:

To find the roots of the expression, factor the expression by GCF.

8x^2 - 2x\\2x(4x-1)

The roots are the factors set equal to 0 and solved for x.

2x = 0

x=0

4x-1 = 0

x = 1/4

The sum is the addition of the two roots 0 + 1/4 = 1/4

8 0
3 years ago
Hey can u help me with this ​
Liula [17]

Answer:

24 cubes

Step-by-step explanation:

First, we need to find the volume of the prism. To do this, we multiply the length by the width by the height, so 1 \cdot 2 \cdot \frac {3}{2} = 3. Then, we need to find the volume of one small cube, which has a length, width, and height of \frac {1}{2}, so \frac {1}{2} \cdot \frac {1}{2} \cdot \frac {1}{2} = \frac {1}{8}. Then we divide the volume of the prism by the volume of a cube to find how many could fit, so 3 \div \frac {1}{8} = 24.

8 0
3 years ago
Which of the following is equivalent to 10 3/2?
Aleksandr-060686 [28]

Answer:

D) \sqrt{10^3}

6 0
4 years ago
Read 2 more answers
Use the diagram to determine whether the statement is true of false
Murljashka [212]

Observe the above diagram.

1. G lies on \overleftrightarrow {EF}

Since, a line is defined as a line of points that extends infinitely in two directions.

So. EF line will also extend infinitely in two directions. Therefore, it is true that G lies on  \overleftrightarrow {EF}.

2. C,D and B are collinear

Points are said to be collinear when they lie on the same line.

Since, the points C,D and B does'not lie on the same line. Therefore, it is false that C, D and B are collinear.

3. D, C, F and G are coplanar

Points are said to be coplanar when they lie on the same plane.

Since, these points does not lie on the same plane. Therefore, it is false that D, C, F and G are coplanar.

4. D lies on plane M

Since, we can observe that point M lies on the plane M and N . Since, our statement says that D lies on plane M which is true.

Therefore, it is true that D lies on plane M.


3 0
3 years ago
Other questions:
  • The graph of a function is shown. Which function is represented by the graph?
    7·2 answers
  • 3. Multiply<br> (5 points)<br> O<br> 33<br> -6<br> 40<br> O<br> mo<br> O
    15·2 answers
  • 3x + 159 = negative-2x + 4.
    15·1 answer
  • What’s 485 x 38582 thank you :)))))
    12·2 answers
  • Please find the answer to this function! F(2)= 6x^4-10x^3+40x-50
    10·1 answer
  • Jane is going to fence in her back yard. She has purchased 120 feet of fencing and knows that she wants to fence in a rectangula
    10·2 answers
  • What is the difference? -2/15 -(-9/15) <br> a.-11/15 <br> b. -7/15 <br> c. 7/15 <br> d. 11/15
    9·1 answer
  • .<br> What is cot(A)?<br> 0 37<br> 7<br> 3,2<br> 7<br> O 37<br> O 32<br> 7<br> 0 31
    14·2 answers
  • Which of the following is the slope of the line passing through each pair of points?
    14·1 answer
  • Please help me❤️<br>I don't know this question <br>answer??​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!