Examine whether each of the following pair of lines AB and CD are parallel or not​

The Angles (2x + 30)° and (2x + 10)° are forming linear pair , so

[tex] \hookrightarrow \: 2x + 30 \degree+ 2x + 10 \degree= 180 \degree[/tex]

[tex] \hookrightarrow \: 4x + 40\degree = 180\degree[/tex]

[tex] \hookrightarrow \: 4x = 180\degree - 40\degree[/tex]

[tex] \hookrightarrow \: x = 140\degree \div 4[/tex]

[tex] \hookrightarrow \: x = 35\degree[/tex]

now , let's find Angle BOC :

[tex] \hookrightarrow2x + 10\degree[/tex]

[tex] \hookrightarrow \: (2 \times 35)\degree + 10\degree[/tex]

[tex] \hookrightarrow \: 70\degree + 10\degree[/tex]

[tex] \hookrightarrow \: 80\degree[/tex]

Answer:

you have to change the sign from - to +

Step-by-step explanation:

-1.8 + k = 8.2

k = 8.2 + 1.8

k = 10

Answer:

sorry this is the way that I usually solve these kinds of problems but, She forgot to make -1.5 into a positive. if that makes sense

Answer:

198 cubic metres

Steps:

Find the area of cross section

Area if traingle + Area of square

1/2 × 3 × 4 + 4×4

6+ 16

22

Then times with the lenght (9)

22×9

I hope this helps, dont hesitate to ask for any question.

Mark me as brainliest is appreciated.Tq!!

Answer:

So I'm not sure if the shapes have to do anything for it but I solved for x

5. x = 1

AGAIN SORRY IF THIS IS WRONG I HAVENT DONE THIS KIND OF MATH IN 5 YEARS.

Answer:

10) 8              11) 10

Step-by-step explanation:

10)

12-4=8

? = 8

11)

7+2=9

19-9=10

TU = 10

[tex]\large \mathfrak{Solution : }[/tex]

10. Find TU :

Given values :

As we saw :.

11. Find TU :

Given values :

According to observation :

Answer:  -101

Step-by-step explanation:  f(n) = 19-6*n

f(20) = 19 - 6*20

f(20) = -101

(2x+5)(2x+5)

4x^2+10x+10x+25

4x^2+20+25

A=4

B=20

C=25

Answer:

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

formula is y2-y1 / x2-x1

Step-by-step explanation:

first off find the gradient dy/dx

-6÷-1=6

y=6x+c

now substitute (2,4)

4=12+c

c=-8

y=6x-8

Answer: Positive integers are all the whole numbers greater than zero: 1, 2, 3, 4, 5, ... . Negative integers are all the opposites of these whole numbers: -1, -2, -3, -4, -5, …. ... If an integer is greater than zero, we say that its sign is positive. If an integer is less than zero, we say that its sign is negative

so 8 9 10 is positive and -8 -9 -10 is negative

they cancel each other out like 8+-8 = 0 and -8+4=-4

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, a) and (x₂, y₂ ) = (1, b)

m = [tex]\frac{b-a}{1-0}[/tex] = b - a

y = (b - a)x + c

(a)

with coefficient of x being b - a

(b)

The line crosses the y- axis at (0, a ) ⇒ c = a

y = (b - a)x + a

Answer:

Vertical angles are always equal to one another. In general, we can say that, 2 pairs of vertical angles are formed when two lines intersect.

Step-by-step explanation:

Parallel lines are lines that do not meet at any point in a plane.

Intersecting lines are straight lines that meet or crosses each other at a certain point.

Answer:

8,1

Step-by-step explanation:

center = midpoint of the 2 points

12 +4/2 , 3-1/2

8, 1

Answer:

I HOPE IT WILL HELP YOU.

Have a great day ahead.

Answer:

21°

angles don't change in dilutions but lengths do

plssmark brainliesttt

Answer:

(i) -3

(ii) 2

Step-by-step explanation:

(i) (-72/12) ÷ 2

-6 ÷ 2

-3

(ii) -84 ÷ (-40 + -2)

-84 ÷ (-42)

2

Answer: B. -8d⁴ - 10d³ - 3d

Step-by-step explanation:

Given expression

(-7d³ + 5d + 5d² - 6d⁴) - (8d + 5d² + 2d⁴ + 3d³)

Expand parentheses

(REMEMBER to change [+, -] signs when there is a [-] sign in front)

=-7d³ + 5d + 5d² - 6d⁴ - 8d - 5d² - 2d⁴ - 3d³

Put like terms together

=-6d⁴ - 2d⁴ - 7d³ - 3d³ + 5d² - 5d² + 5d - 8d

Combine like terms

=(-6d⁴ - 2d⁴) - (7d³ + 3d³) + (5d² - 5d²) + (5d - 8d)

=-8d⁴ - 10d³ + 0 - 3d

=[tex]\boxed{-8d^4-10d^3-3d}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Option c because they can make 180° when added.

Answer:

c is the correct answer

have a great day

[tex]\large\bf\blue{ \diamond} \rm \: \: m \: - \: 8 \: = \: - 14 \\ \\ \large\bf\blue{ \diamond} \rm \: \: m \: = \: - 14 \: + \: 8 \\ \\ \large\bf\blue{ \diamond} \rm \: \: m \: = \: - 6[/tex]

Answer:

Step-by-step explanation:

Jason is not correct because 0.819 is not larger than 0.85. Marco's number is larger.

Answer:

X = 119

Step-by-step explanation:

Step 1: Given

Y = -5 X = 7

Y = -85 X = n

Step 2:

-85 ÷ -5 = 17

Step 3:

17 × 7 = 119

Answer:

Y = -5 X = 7

Y = -85 X = 119

n = 119

Answer: 430-8d

Step-by-step explanation:

you start with 430 dollars and you spend 8 a day. you multiply 8 by the number of days and subtract that from 430.

The algebraic expression that describes the situation is 430 - 8d.

Given,

You have $430 but you are spending $8 each day.

We need to find the algebraic expression that describes this situation where d represents the number of days.

An algebraic expression is an expression which is made up of variables and constants.

Find the algebraic expression.

Total amount = $430

Amount spend each day = $8

Let the number of days be denoted by: d

If $8 is spent daily then 8d represents the amount spent for d days.

Now,

$430 is the amount from which the money has to be spent so,

430 - 8d is the required algebraic expression.

Thus the algebraic expression that describes the situation is 430 - 8d.

Learn more about how to make algebraic expressions here:

https://brainly.com/question/12925506

#SPJ2

Answer:

Step-by-step explanation:

MO bisects ∠LMN.

⇒ ∠LMO = ∠NMO

⇒ ∠LMN = 2 * ∠LMO

   6x - 28  = 2* (x +34)

  6x - 28 = 2*x + 2*34

 6x - 28  = 2x + 68

Add 28 to both sides

6x = 2x + 68 + 28

6x = 2x + 96

Subtract 2x from  both sides

6x - 2x = 96

  4x      = 96

Divide both sides by 4

x = 96/4

x = 24

∠LMO = x +  34 = 24 + 34 = 58

∠MNO = ∠LMO

∠MNO = 58°

Answer:

10, 11, 12

Step-by-step explanation:

Hi there!

Let x be equal to the smallest integer.

Let x+1 and x+2 be equal to the consecutive integers.

We're given that:

⇒ smallest integer + 2 × middle integer = 20 + largest integer

Construct an equation:

[tex](x)+2(x+1)=20+(x+2)[/tex]

Combine like terms:

[tex](x)+2(x+1)=20+(x+2)\\x+2x+2=20+x+2\\3x+2=22+x\\2x=20\\x=10[/tex]

Therefore, the smallest integer is 10.

This makes the consecutive integers 11 and 12.

I hope this helps!

Answer:

5 1/4 - 2 2/3 = 31/12 = 2 7/12 = 2.5833333

Step-by-step explanation:

1. Conversion a mixed number 5 1/4 to a improper fraction: 5 1/4 = 5 1/4 = 5 · 4 + 1/4 = 20 + 1/4 = 21/4

To find new numerator:

a) Multiply the whole number 5 by the denominator 4. Whole number 5 equally 5 * 4/4 = 20/4

b) Add the answer from previous step 20 to the numerator 1. New numerator is 20 + 1 = 21

c) Write a previous answer (new numerator 21) over the denominator 4.

Five and one quarter is twenty-one quarters

Conversion a mixed number 2 2/3 to a improper fraction: 2 2/3 = 2 2/3 = 2 · 3 + 2/3= 6 + 2/3 = 8/3

To find new numerator:

a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/3 = 6/3

b) Add the answer from previous step 6 to the numerator 2. New numerator is 6 + 2 = 8

c) Write a previous answer (new numerator 8) over the denominator 3.

Two and two thirds is eight thirds

Subtract: 21/4 - 8/3 = 21 · 3/4 · 3 - 8 · 4/3 · 4 = 63/12- 32/12 = 63 - 32/12 = 31/12

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(4, 3) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 3 = 12. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - twenty-one quarters minus eight thirds = thirty-one twelfths.

Answer:

A= D , B=C

SO; angle D =102

A+B = 180

C+D=180

C+102=180 —> C = 180-102 = 78

I hope I helped you^_^

Answer:

angle C = 78

angle D = 108

Step-by-step explanation:

 the measure of angle A is 102

To find the measure of angle C

let Angle C be x

102 + x = 180 (linear pair)

x = 180 -102

x = 78

angle C = 78

angle B = 78 (vertically opposite angles are equal)

angle D = 108 (vertically opposite angles are equal)

Answer:

320  

Step-by-step explanation:

hope this helps :)

Answer:

B

Step-by-step explanation:

plolynomial is (x+4)(x-0)(x-1)(x-4)

or x(x-1)(x+4)(x-4)

or (x²-x)(x²-16)

or x^4-x³-16x²+16x