∠A=5x−18 ∘ start color #11accd, angle, A, equals, 5, x, minus, 18, degrees, end color #11accd \qquad \green{\angle B=3x + 42^\circ}∠B=3x+42 ∘ start color #28ae7b, angle, B, equals, 3, x, plus, 42, degrees, end color #28ae7b Solve for xxx and then find the measure of \blueD{\angle A}∠Astart color #11accd, angle, A, end color #11accd:

Answer:

5n + 5a

Step-by-step explanation:

This would be your simplified algebra expression.

Answer:

The distributive property tells us how to solve equations in the form of a(b + c). The distributive property is sometimes called the distributive law of multiplication and division. Normally when we see an equation like this … 4(8+3) distributive property format 4(8+3) -> 4(11) -> 44 we just evaluate what’s in the parentheses first, then solve it: 4(8+3)=4x8 + 4x3=44 These are the 2 methods

Step-by-step explanation:

Given:

Number of boys = [tex]\dfrac{1}{4}[/tex] of the total persons.

Number of girls = [tex]\dfrac{5}{8}[/tex] of the total persons.

Remaining persons are adults.

There were 56 more girls than adults.

To find:

The number of total persons.

Solution:

Let x be the number of total persons. Then,

Number of boys = [tex]\dfrac{1}{4}x[/tex]

Number of girls = [tex]\dfrac{5}{8}x[/tex]

Number of adults = Total persons - Boys - Girls

                             = [tex]x-\dfrac{1}{4}x-\dfrac{5}{8}x[/tex]

                             = [tex]\dfrac{8x-2x-5x}{8}[/tex]

                             = [tex]\dfrac{x}{8}[/tex]

There were 56 more girls than adults.

Girls = Adults + 56

[tex]\dfrac{5}{8}x=\dfrac{x}{8}+56[/tex]

[tex]\dfrac{5}{8}x-\dfrac{x}{8}=56[/tex]

[tex]\dfrac{4}{8}x=56[/tex]

[tex]\dfrac{1}{2}x=56[/tex]

Multiply both sides by 2.

[tex]x=112[/tex]

Therefore, the total number of persons is 112.

Answer: p=60

Step-by-step explanation: Hope this help :D

Answer:

256 miles

Step-by-step explanation:

The Pythagoras theorem is a² = b² + c² where a is the hypotenuse or longest side

To find the shorter side, the equation is rearranged so c² = a² - b² (whether it is b or c doesn't matter)

so √377² - 277² = 255.7342371

Answer to number 22

Answer: 256 miles

o saw this question om edge its b

Answer:

Those numbers are -18 and -2

Explanation:

(-18)*(-2)=36

-18+(-2)=-18-2=-20

Answer:

x*y=36

x+y=-20

so it would be -18 and -2, :)

Step-by-step explanation:

Answer:

15 + 2=

17

Step-by-step explanation:

Answer: 3 x 2 + 13 x - 10

Step-by-step explanation:

:)

Answer:

-22x - 1

Step-by-step explanation:

(-12x+(-13)) - (10x+(-12))        

(-12x-13) - (10x-12)           Take away the plus sign since addition of a negative is            the same as subtraction.

(-12x-10x) + (-13+12)          Put like terms together.

-22x - 1                             Simplify

Answer:the answer is -22x-1 hope that helps

Step-by-step explanation:

7 is an odd number since it can't be divided evenly by 2.

A negative number taken to an odd power will always be negative.

For example, -1⁵ is -1 because 5 is an odd number.

Step-by-step explanation:

if 2(0+2)=0+4=4 Answer

3(0+1)+1=(0+3)+1=4 Answer

hope it helps

Answer:

(-2,2)

Step-by-step explanation:

Looking at your graph, the part were both lines intersect/meet is at point (-2,2). Since (-2,2) is the point of intersection, it is the solution to the equations.

Hope this helps ^-^

Answer:

9x+6

Step-by-step explanation:

I think by equivalent, you mean solve it.

5x+(x+6)+3x

5x+x+6+3x, open the parenthesis

9x+6, add up the like terms

Answer:

your answer will be J. Y=-8

Step-by-step explanation:

Y=mx+b (6, -8)

(-8)= 0(6) +b

(-8)= 0+b

(-8)= b

Y=0(6)-8

y=-8

Answer:

Complementary angles,7 & 83

Supplementary angles, 97 & 83

Vertical angles, 83 & 83

Step-by-step explanation:

Complementary angles add up to 90°

Supplementary angles add up to 180°

Vertical angles are equal

Answer:

130

Step-by-step explanation:

Hello There!

An included angle is equal to half the measure of its included arc

So more specifically for this circle

∠mABC = [tex]\frac{1}{2}[/tex] arc(mAB)

So in order to find the value of x we are going to want an equation

Because angle ABC is equal to 1/2 of arc AB we are going to want to multiply angle ABC's expression by two

So 2(3x+32) = 10x+20

now we solve for x

step 1 distribute the 2

2 * 3x = 6x

2 * 32 = 64

now we have

6x + 64 = 10x + 20

step 2 subtract 20 from each side

64 - 20 = 44

20 - 20 cancels out

now we have 6x + 44 = 10x

step 3 subtract 6 x from each side

10x - 6x = 4x

6x - 6x cancels out

now we have 44 = 4x

step 4 divide each side by 4x

44/4=11

4x/4=x

we're left with x = 11

finally we want to plug in 11 to x for (10x+20)

10(11)+20

10*11=110

110+20=130

so arc ab = 130

Answer:

AB = 130

Step-by-step explanation:

So, according to a certain theorem to do with arcs and their angles, If a tangent and a chord intersect at a point on a circle, then the measure of each angle formed is one half the measure of its intercepted arc.

In this case, the ARC is AB, and the angle is CBA.

CBA = 3x+32

AB = 10x+20

And,

[tex]CBA = \frac{1}{2} AB[/tex]

Now,

[tex]3x+32=\frac{1}{2} (10x+20)[/tex]

[tex]3x+32=5x+10\\32=2x+10\\22=2x\\11=x[/tex]

Now we can substitute x into the equation that equals AB

[tex]10(11)+20 \\=110+20\\=130[/tex]

So, the answer is 130, sorry I took a while, the explanation takes a long time to do lol.

Have a nice day fam. Spread The Love.

Answer:

the function f(x) = 2x - 1 indicates:

a downward shift of 1 unit

as the y-intercept: (0, -1)

Answer:

Yes, I agree. Since the area of the piece of wood is greater than the area of the box she wants to make, then she has enough wood to make the box.

Step-by-step explanation:

First, we will calculate the area of the piece of wood Heather has

Area (A) = Length (l) × Width (w)

From the question, l = 14 inches and w = 13 inches

A = 14 inches × 13 inches

A = 182 squares inches

Hence, the area of the piece of wood is 182 square inches

Now, we will calculate the total surface area of the box she desires to make

Area (A) of a box is given by

A = 2lw + 2lh + 2wh

Where l is the length

w is the width and

h is the height

She wants to make a box with a height of 3 inches and bases measuring 6.5 inches by 6.5 inches.

i.e h = 3 inches, l = 6.5 inches and w = 6.5 inches

∴ A = 2(6.5×6.5) + 2(6.5×3) + 2(6.5×3)

A = 84.5 + 39 + 39

A = 162.5 square inches

Hence, the area of the box she wants to make is 162.5 square inches

Since the area of the piece of wood is greater than the area of the box she wants to make, then she has enough wood to make the box.

Answer:

Yes

Step-by-step explanation:

Answer:

Degree: 9

Coefficient: -1

Step-by-step explanation:

The degree of a polynomial is equivalent to the highest degree of all its terms.

The term with the highest degree in this polynomial is y^9

Answer:

The first one will be equal 2

Because

[tex] \frac{ - 64}{8} = - 8[/tex]

[tex]x ^{3} = 8 \\ [/tex]

[tex] \sqrt[3]{ - 8} = - 2[/tex]

Oh sorry i read the question wrongly i thought you wanted the value of x

Step-by-step explanation:

main formula used

a³-b³=(a-b)(a²+ab+b²)

Answer:

Below in bold.

Step-by-step explanation:

Degrees = radians * 180/π.

6. 3.8 radians = 3.8 * 180 / π

    = 217.7 degrees to nearest hundredth.

8. 5π/4 radians = 5π/4 * 180/π

     =  5*180/4

     =  225 degrees.

Answer: [0, 396]

Step-by-step explanation:

The domain is the acceptable values of x in the function.  In this case, x = t, the number of tiles.  If you think about it, the minimum number of tiles is 0 (you can't have a negative number of tiles), and the maximum number of tiles is 44 (you only have 44 tiles).  So, the domain for this function is from 0 to 44.

0 to 44 written in interval notation is [0,44].

The range is the acceptable values of y in the function.  In this case, y = A, the area given.  A(t) = 9t, so you can use the acceptable values of t to get the range.  Again, the minimum area is 0 because you can't have negative area. To find the maximum area, plug in the maximum number of tiles: 9.

A(t) = 9t

A = 9(44)

A = 396

With the maximum number of tiles, 44, the area you get is 396 cm².  Therefore, the acceptable values of A are from 0 to 396.

0 to 396 written in interval notation is [0, 396].

Answer:

Step-by-step explanation:

Answer:

B then A

Step-by-step explanation:

Domain is B, range is A.

Answer:

Is it 41, 42, 43, 44, 45, 46, 47, 48 or 49?

Answer:

its clearly 77

Answer:

I don't think 2x^3y cannot be factorised