Decide whether there is enough information to prove that a∥b. If so, state the theorem you would use.

Answer:

122°

Step-by-step explanation:

10a + 2° + 5a - 2° = 180° [ being linear pair ]

15a = 180°

a = 180° / 15

a =12°

Now

<XYQ = 10a + 2° = 10 * 12° + 2° = 120° + 2° = 122°

Hope it will help :)

Answer:

Please see below

Step-by-step explanation:

Step 3: Definition of parallelogram

Step 4: Alternate internal angles between parallel lines AB // CD

Step 5: Reflexive property of congruence

Step 6: ASA theorem

Answer

x=20

Step-by-step explanation:

  (x-3) + (8x+3) = 180

         9x = 180

            x=20

Answer:

18 feet long

Step-by-step explanation:

252 ÷ 14 = 18

:)

Answer:

B. y = 11x - 7 passes through the points (2 , 15) and (3 , 26)

Step-by-step explanation:

Answer:

(2,-3)

Step-by-step explanation:

I thought you'd actually have to calculate it but I guess they just wanted to give you guys a graph lol

Answer: 9 cents

Step-by-step explanation: 6.30 divided by 7 is 0.9

Answer: The Least Common Multiple (LCM) for 9, 12 and 16, notation LCM (9,12,16), is 144.

Answer:

its 144

Step-by-step explanation:

Answer:

The value of g(f(3)) = 2

Step-by-step explanation:

We are given:

[tex]f(x)=2x[/tex]

[tex]g(x) = x-4[/tex]

And we need to find g(f(3))

First we need to find g(f(x))

by putting the value of f(x) into g(x) i.e put x = 2x

[tex]g(x)=x-4\\g(f(x))=2x-4[/tex]

Now, we need to find g(f(3)) by putting x = 3 in g(f(x))

[tex]g(f(x))=2x-4\\Put\: x=3\\g(f(3))=2(3)-4\\g(f(3))=6-4\\g(f(3))=2[/tex]

So, the value of g(f(3)) = 2

Answer:

1.15

Step-by-step explanation:

when you have a % above 100 you divide that by 100 so it's 115 divided by 100 which is 1.15

Answer:

1/11>x

Step-by-step explanation:

4−23x>2−x

 +23x to both sides

4>2+22x

 -2 from both sides

2>22x

  Divide by 22

1/11>x

Answer:

50 degrees

Step-by-step explanation:

Since the two lines are parallel, we know that the other angle above angle 1 is also 130, because corresponding angles are congruent. Next, since we know that it sits on a line, we know that angle 1 and 130 make a linear pair, or add up to 180 degrees. 180-130= angle 1. So angle 1 is 50 degrees. Sorry if the explanation is a bit funky.

Answer:

5.55

Step-by-step explanation:

With reference angle 48°

perpendicular (p) = x

base (b) = 5

Now

tan 48° = p / b

1.11 = x / 5

x = 1.11 * 5

x = 5.55

Answer:

∠VUW

Step-by-step explanation:

A triangle is a three sided polygon with three angles. Types of triangles are obtuse, scalene, isosceles, equilateral and so on.

In triangle VUW, since VU = WU, hence it is an isosceles triangle. In an isosceles triangle, two sides of the triangle are equal.

The size of an angle depends on its opposite side, the higher the opposite side the higher the angle. Since In triangle VUW, VU = 9, WU = 9, VW = 5. Since VW is the smallest side, the angle opposite to VW is the smallest angle.

Hence the smallest angle = ∠VUW

Answer:

y=13.75x+10

Step-by-step explanation:

65-10=55

55 divided by 4 is 13.75

Answer:

y=13.75x+10

Step-by-step explanation:

65-10=55

55 divided by 4 is 13.75

Answer:

Step-by-step explanation:

think of this as a system of equations where the colors just represent a variable like x or y

I'll just arbitrarily set colors to some variable letter so we have

purple = x

green =y

blue =z

red = a

yellow = b

so we can now rewrite the 4 known equations of the system :)

Eq. 1)  x+y = 13

Eq. 2) 2y+2z=18

Eq. 3) 2x+3y=31

Eq. 4) z + 4a = 12

Eq. 5) a * y = b

so solve the 1st eq for y   =>  y =13-x    then plug that into the 3rd eq and slove for x =>  2x + 3(13-x) =31

2x + 39 -3x = 31

2x-3x = 31 - 39

-x = -8

x=8

plug 8 into Eq. 1 for x and solve for y

8+y = 13

y=5

plug y into Eq 1 and solve for z

2(5) +2z = 18

10 +2z = 18

2z = 8

z = 4

plug z into E1 4 and solve for a

4 + 4a = 12

4a = 8

a = 2

plug a and y into Eq 5 and solve b

2 * 5 = b

10=b

go to the drawing and plug in each of the color values that we put as variable letters above and get an A+ on your homework..  :)

Answer:

-1.23

Step-by-step explanation:

-0.3 x 4.1 = -1.23.

A negative number times a positive number equals a negative number.

Answer:

A,C,E

Step-by-step explanation:

Answer:

B. n ≥ -24.

D. The circle is closed.

E. The arrow points right.

Step-by-step explanation:

Step 1: Multiply both sides by -3/2, the reciprocal of -2/3. Since -2/3 is negative, the inequality direction changes.

(-2/3 * -3/2)n ≤ 16(-3/2)

n ≥ 16(-3/2)

Step 2: Express 16(-3/2) as a single fraction.

n ≥ 16(-3)/2

Step 3: Multiply 16 by -3 to get -48.

n ≥ -48/2

Final Step: Divide -48 by 2 to get -24.

n ≥ -24 is the final answer.

With inequalities that have this (≥), the circle should be closed (D) and the arrow goes right (E).

Answer:

it's answer is b

|-80+15| = |-65| = 65 units

Hope this helps :)

This question is about displacement. Displacement is a set of vectors. So the answer is - can't be + can't be.

so,answer-b

Answer:

true

Step-by-step explanation:

Answer:x=8

Step-by-step explanation: if you download Math-way you’ll get a lot of answers I was doing a test and I seen u didn’t have an answer so I decided to help you

Answer:

Option D is correct .

Step by step explanation:

A function is given to us and we need to find its inverse . The function is g(x) = -2x⁵ - 2.

So for finding its inverse , exachange x with y .

⇒ g(x) = -2x⁵ - 2 .

Let g(x) = y ,

⇒ y = -2x⁵ - 2 .

Replace x with y ,

⇒ x = -2y⁵ - 2

⇒ x + 2 = -2y⁵

⇒ y⁵ = x+2 / -2

⇒ y⁵ = (-1) ( x + 2) / (-1)(-2)

⇒ y⁵ = -x - 2/ 2

⇒ y = ⁵√ [ ( -x -2)/2 ]

Hence the inverse of the function is ,

[tex]\boxed{\red{\bf f^{-1}(x)=\sqrt[5]{\dfrac{-x-2}{2}}}}[/tex]

Answer:

A circle is a shape.

Step-by-step explanation:

In geometry circles are known for you to solve the radius wit the formula      A= π r^2

A circle is a shape consisting of all points in a plane that are a given distance from a given point, the centre; equivalently it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant.

Answer:

[tex]P(F) = 0.515[/tex]

[tex]P(M) = 0.485[/tex]

Step-by-step explanation:

Given

[tex]Female = 51.5\%[/tex]

Solving (a): Probability of running into a female

To do this, we simply convert the given proportion to decimal

[tex]P(F) = 51.5\%[/tex]

Convert to fraction

[tex]P(F) = \frac{51.5}{100}[/tex]

[tex]P(F) = 0.515[/tex]

Solving (b): Probability of running into a male

Represent this with [tex]P(M)[/tex]

To solve this, we apply the concept of probability complement which states that:

[tex]p + q = 1[/tex]

In this case:

[tex]P(F) + P(M) = 1[/tex]

Substitute 0.515 for P(F)

[tex]0.515 + P(M) = 1[/tex]

Subtract 0.515 from both sides

[tex]0.515-0.515 + P(M) = 1 - 0.515[/tex]

[tex]P(M) = 1 - 0.515[/tex]

[tex]P(M) = 0.485[/tex]

Answer:

70%

Step-by-step explanation:

ehhh dont know, my teacher told me

Answer:

bghjgkk7686968679

hjkggkhk67896869

ghjkgh

Step-by-step explanation:

hjkh7689

Answer:

29, 5/24 ,64

Step-by-step explanation:

27) x-9=20

x=20+9

x=29

28) 1/3*5/8

1*5/3*8

5/24

29) 4*4*4

4*4=16

16*4

64

Answer:

-19f + 7

Step-by-step explanation:

group the fs

-19f + 7

is the simple expression

Answer:

4,800

Step-by-step explanation:

Just multiply 800 x 6, which gets 6,800. Then, get 11,600 and subtract 6,800 from it. You'll get 4,800.