Find the value of x in the given figure using properties of parallel lines.
A) 138°
B) 48°
C) Can't be determined.
D) 42°

Find The Value Of X In The Given Figure Using Properties Of Parallel Lines.A) 138B) 48C) Can't Be Determined.D)

Answers

Answer 1

Answer:

[tex]x = 42[/tex]

Step-by-step explanation:

Given

The diagram above

Required

Find x

When two parallel lines are divided in such a way as it is in the above figure;

x and 138 are said to be supplementary angles

The rule about supplementary angles is that, they add up to 180

In other words,

[tex]x + 138 = 180[/tex]

To solve this, we subtract 138 from both sides

[tex]x + 138 - 138= 180 - 138[/tex]

[tex]x = 180 - 138[/tex]

[tex]x = 42[/tex]

Hence, the value of x when solved using the properties of parallel lines is: [tex]x = 42[/tex]


Related Questions

Por favor ayudenme, plis (x2+ 3x - 5 )2

Answers

Answer:

[tex]x^4 + 6x^3 - x^2 - 30x + 25[/tex]

Step-by-step explanation:

Multiplica la expresión por sí misma y expande el corchete:

[tex](x^2+ 3x - 5 )^2\\\\= (x^2+ 3x - 5 )*(x^2+ 3x - 5 )\\\\= x^2(x^2+ 3x - 5 ) +3x(x^2+ 3x - 5 ) - 5(x^2+ 3x - 5 )\\ \\x^4 + 3x^3 - 5x^2 + 3x^3 + 9x^2 - 15x - 5x^2 -15x + 25\\\\x^4 + 3x^3 + 3x^3 -5x^2 + 9x^2 - 5x^2 - 15x - 15x + 25\\\\= x^4 + 6x^3 - x^2 - 30x + 25[/tex]

A trapezium has two parallel sides of length 12.5 cm and 4.5 cm. It has a height of 7 cm.

What is the area?

Answers

Answer:

59.5cm^2

Step-by-step explanation:

Area of a trapezoid is calculated by dividing the sum of parallel sides and that's multiplied by height

(12.5 + 4.5) ÷ 2 × 7 = 59.5cm^2


Simplify (3v5+8v3−10v2)−(−12v5+4v3+14v2) . Write answer in standard form.


Answers

Answer:

15v^5+4v^3-24v^2

Step-by-step explanation:

Distribute the Negative Sign:

=3v5+8v3−10v2+−1(−12v5+4v3+14v2)

=3v5+8v3+−10v2+−1(−12v5)+−1(4v3)+−1(14v2)

=3v5+8v3+−10v2+12v5+−4v3+−14v2

Combine Like Terms:

=3v5+8v3+−10v2+12v5+−4v3+−14v2

=(3v5+12v5)+(8v3+−4v3)+(−10v2+−14v2)

=15v5+4v3+−24v2

Answer:

=15v5+4v3−24v2

Hope this helps! :)

urgent!!!!pleasehelp

Answers

Answer:

y + 2 = -2(x - 3)^2

Step-by-step explanation:

We can see immediately that the vertex is at (3, -2).  

The vertex form of the equation of a parabola is

y - k = a(x - h)^2.

If the parabola opened upward, the equation would be y + 2 = 2(x - 3)^2.  But seeing that this particular parabola opens downward, the equation is

y + 2 = -2(x - 3)^2.

Check:  Does the point (2, -4) satisfy this equation?

-4 + 2 = -2(2 - 3)^2 becomes -2 = -2(-1)^2, which is true.

What is the period of the sinusoidal fynction below?
f(x) = 2 cos(3x – 360) + 3

Answers

Answer:

Here you go! I have a graph for your answer!

Step-by-step explanation:

The Xmin is -10

The Xmax is 10

The Ymin is -10

Ans the Ymax is 10

Is this a fact or opinion? Explain your answer.
If two sets of data have the same mean, they must be the same set of data.

Answers

Answer:

opinion

Step-by-step explanation:

2 different sets of data can have the same mean:

for example

4, 5, 6 ---> has a mean of 5

2,6,7 ---> also has a mean of 5

hence it is NOT a fact that if the means are the same, that it must be the same data set

That is a fact because they well, ok idk how to explain but it's a fact

2 3/5 x 3 1/3 answer

Answers

2×5+3 =13\5

3×3+1=13/3

13/5×

10/3

130÷15= 82/5

You want the volume of the box to be 9 cubic inches.

Find the rational solution(s) of the equation. Then use polynomial long division to find the other solution(s).

What are the possible side lengths of the box?

Answers

Answer: x^3

Step-by-step explanation: it has no cube so its 3^x or x^3

what number is not part of the solution set to the inequality below?
w - 10 less than or equal to 16

Answers

W equaling any number lower than 26

Answer:

If you have this as an answer, 27

(The question is "what number is not part of the solution set to the inequality below?)

Step-by-step explanation:

w - 10 ≤ 16

w - 10 + 10 ≤ 16 + 10

w ≤ 26

11, 15, and 26 are all either less than, or equal to 26. Only 27 is not.

The bottom part of this block is a rectangular prism. The top part is a square pyramid. You want to cover the block entirely with paper. How much paper do you need?

Answers

Answer:

Total paper required = 165 cm²

Step-by-step explanation:

Paper required to cover the entire block = (Surface area of the prism at the base - area of the top of the prism) + Lateral surface area of the pyramid

Surface area of the rectangular prism = 2(lb + bh + hl)

(here l, b, h are the length, width and height respectively)

                                                               = 2(5×5 + 5×4 + 4×5)

                                                               = 2(25 + 20 + 20)

                                                               = 2×65

                                                               = 130 cm²

Area of the top of the prism = (side)²

                                              = 5²

                                              = 25 cm²

Lateral area of the square pyramid = 4 × Area of one lateral side

                                                          = 4 × [tex][\frac{1}{2}(\text{Base})(\text{Height})][/tex]

                                                          = 4 × [tex][\frac{1}{2}(5)(6)][/tex]

                                                          = 60 cm²

Total paper required = (130 - 25) + 60

                                   = 105 + 60

                                   = 165 cm²

The question is below, will give brainlist.

Answers

Answer:

[tex]\boxed{\sf \ 48 \ }[/tex]

Step-by-step explanation:

Hello,

the sum of all angles of the triangle at the left must be 180

so the last one is 180 - 80 - 60 = 40

and then the angle at the bottom left of the second triangle is 180 - 40 -72 = 180 - 112 = 68

and then the angle that we have to find is 180 - 64 - 68 = 48

hope this helps

Use the stem-and-leaf plot below to find the mean, median, and mode of the data set. Round to the nearest whole
number
Stem Leaf
5 2, 2, 2.
8. 1,5,9
9. 3,4,6
1. 2,7

Answers

Answer:

The mean is 65.72 , median  is 81 and mode is 52  

Step-by-step explanation:

Stem         Leaf

5                2, 2, 2.

8.                1,5,9

9.                3,4,6

1.                 2,7

Number : 52,52,52,81,85,89,93,94,96,12,17

Arrange in ascending order :

12,17,52,52,52,81,85,89,93,94,96

[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\Mean =\frac{12+17+52+52+52+81+85+89+93+94+96}{11}[/tex]

Mean =65.72

[tex]Median = \frac{n+1}{2} \text{th term}=\frac{11+1}{2}=6 \text{th term} = 81[/tex]

Mode = most occurring number = 52

Hence The mean is 65.72 , median  is 81 and mode is 52  

Simplify the following expression

Answers

Answer: 0.25 or 1/4

Step-by-step explanation:

1/2*2 = 1/2^2 = 1/4


f(x) = x ^ 2 + 6x - 4 in vertex form

Answers

Answer:y=(x-6)^2-4

Step-by-step explanation:

Answer:

f(x) = (x + 3)² - 13

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

Given

f(x) = x² + 6x - 4

Using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² + 6x

f(x) = x² + 2(3)x + 9 - 9 - 4

f(x) = (x + 3)² - 13 ← in vertex form

Anyone who know how to do this answer i will give you 20 Brainly points and mark the Braninllest person who get it right.

Answers

Answer:

Answer is A

Step-by-step explanation:

(14x^4y^6)/(7x^8y^2)

because everything is one term, you can split into three terms

14/7, x^4 / x^8 , and y^6/y^2

multiplying these three terms will get us the starting term

14/7 = 2

x^4 / x^8

with division of exponents, you subtract the smaller exponent (4), from the big exponent (8), and leave it on the same side (bottom) as the big exponent

1/x^4

same thing with our y's

y^6/y^2

this time, the term stays on the top

y^4

take the simplified terms and multiply them together

(2) * (1/x^4) * (y^4) =

A: (2y^4) / (x^4)

Which ones is it? Correct will get branilist

Answers

Answer:

[tex] 5.99 \times {10}^{ - 9} \\ \\ 1.80 \times {10}^{9} \\ \\ 3.42 \times {10}^{ - 9} [/tex]

Step-by-step explanation:

Following numbers are written in scientific notations.

[tex]5.99 \times {10}^{ - 9} \\ \\ 1.80 \times {10}^{9} \\ \\ 3.42 \times {10}^{ - 9} [/tex]

what is the surface area of a cone in terms of pi with a diameter of 14cm and a slant height of 20cm

Answers

Answer:

476 Pi cm^2

Step-by-step explanation:

The surface area of a cone is given by the formula:

● Sa = Pi× r^2 + Pi×r×l

r is the radius and l is the slant heigth.

■■■■■■■■■■■■■■■■■■■■■■■■■■

We are given that:

● r = 14 cm

● l = 20 cm

Let's calculate Sa

● Sa = Pi×14^2 + Pi × 14 × 20

● Sa = 476 Pi cm^2

|3n – 6| = 6
absolute value equation

Answers

Answer:

[tex]n=\{0,\: 4\}[/tex]

Step-by-step explanation:

[tex]|3n-6| = 6\\\therefore 3n - 6 = \pm 6\\\therefore 3n = 6 \pm 6\\\therefore 3n =6+6\:\: or\:\: 3n = 6-6\\\therefore 3n =12\:\: or \:\:3n = 0\\\\\therefore n =\frac{12}{3}\:\: or\:\: n =\frac{0}{3}\\\\\therefore n = 4 \:\: or\:\: n = 0\\\\\therefore n=\{0,\: 4\}\\[/tex]

There are 300 students in the middle school, 4 seventh graders are running for class president. Which type of survey below would give biased results?
A) Survey 30 middle school students
B) Survey 30 7th graders
C) Survey 70 middle school students
D) Survey all middle school students

Answers

Answer:

B

Step-by-step explanation:

Surveying 30 7th graders would give biased results, because 4 seventh graders are running for class president, meaning that 7th graders would be more likely to vote for their fellow classmates who are running

Answer:

B

Step-by-step explanation:

Hoped This Helped you :]

What is equivalent to log2(7)
A.7^2
B.2^7
C.7log(2)
D.log(7)/log(2)
E. Log(2)/log(7)

Answers

Answer:

D

Step-by-step explanation:

Using the changing base formula, log base 2 raised to 7 can be written as log7/log2

The correct answer is D. log(7) / log(2).

To find the equivalent of log2(7), you can use the change of base formula for logarithms.

The change of base formula states that log base a of b is equal to log base c of b divided by log base c of a.

In this case, we want to find the equivalent of log2(7), so we can use the change of base formula with base 10 as follows:

log2(7) = log(7) / log(2)

Therefore, the correct answer is D. log(7) / log(2).

Learn more about logarithms click;

https://brainly.com/question/30226560

#SPJ6

A cube has width of 9 cm. What is the volume of the cube?

Answers

Answer:

V = 729 cm³

Step-by-step explanation:

side length a = 9 cm

face diagonal f = 12.727922061358 cm

solid diagonal d = 15.58845726812 cm

surface area S = 486 cm²

volume V = 729 cm³

Formula: V=a³

The diameter of a circle is __________.

A. The distance around the circle
B. The distance from the center point to any edge of the circle
C. The distance across the circle that cuts it in half.
D. The same as its circumference

Answers

Answer:

The answer is C

Step-by-step explanation:

Answer: The answer is C

Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!!

Answers

Answer:

There were 12 babies and 4 adults

Guys please help me!! :(

Answers

Answer:

1. 3(2)+(4)-(4)=6

2. 2(8)-3(8)+4= -4

3. 4-16-16= -28

Step-by-step explanation:

Tell whether each outcome is impossible, unlikely, as
likely as not, likely, or certain. Then write the probability
in simplest form.
1.choosing a red crayon from a box of 24 different colored
crayons, including 8 red crayons

Answers

Answer: likely, pls mark me as brainliest if it helped u

Step-by-step explanation:

5-7y/2+4y equals -8/7​

Answers

Answer:

[tex] \boxed{y = 3} [/tex]

Step-by-step explanation:

[tex] = > \frac{5 - 7y}{2 + 4y} = - \frac{8}{7} \\ \\ = > 7(5 - 7y) = - 8(2 + 4y) \\ \\ = > (7 \times 5) - (7 \times 7y) = ( - 8 \times 2) + ( - 8 \times 4y) \\ \\ = > 35 - 49y = - 16 - 32y \\ \\ = > 35 - 49y + 32y = - 16 \\ \\ = > 35 - 17y = - 16 \\ \\ = - 17y = - 16 - 35 \\ \\ = > \cancel{- }17y = \cancel{- } 51 \\ \\ = > 17y = 51 \\ \\ = > y = \frac{51}{17} \\ \\ = > y = 3[/tex]

I need Help please and thank you

Answers

Answer:

option c

Step-by-step explanation:

There is no mistake, she did it right

angela did not make a mistake :)

Patrick made a cake for his mother's birthday. He started making the
cake batter at 9:00 A.M. It took 1 hour and 15 minutes to make the
batter. Then, the cake baked in the oven for 1 hour.
What time did the cake come out of the oven?
Show your work

Answers

Answer: 11:15 AM

Step-by-step explanation:

9:00 plus an hour and 15 minutes (75 minutes) makes it 10:15.  Then bake for an hour (60 minutes), makes it 11:15

Answer:

what she saisddddddddddd

Step-by-step explanation:

Count the possible combinations of 2 numbers chosen from the list 99 98 97 96 95 94 93 92 91

Answers

The number of ways to choose r objects out of n objects is:
C(n,r) = (n!)/(r! * (n-r)!)

The number of ways to choose 2 numbers out of a list of 9 numbers is:
C(9,2) = 9! / (2! * 7!)
= 9*8 / 2!
= 9*8/2
= 36

Here are all the possible combinations:
98 97
98 91
98 93
98 99
98 96
98 94
98 92
98 95
97 91
97 93
97 99
97 96
97 94
97 92
97 95
91 93
91 99
91 96
91 94
91 92
91 95
93 99
93 96
93 94
93 92
93 95
99 96
99 94
99 92
99 95
96 94
96 92
96 95
94 92
94 95
92 95

Gracie has 1/2 of a cantaloupe that she wants to divide. How many 's 1/8 of a cantaloupe are there in 1/2 of a cantaloupe?

Answers

Answer:

4/8

Step-by-step explanation:

Dividing a whole cantaloupe into eighths will give you 8/8 or 1. When it is cut in half then divided there is one half of 8/8 or there are 4/8 in one half. This is true because 1/2 and 4/8 are equal terms.

Hope this helps!

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