For each question, draw a figure. Label the information on the figure. Write an equation that solves the
problem. Find the two answers requested. On AC, B is between A and C. For each question, find x and AB.
10. AB = 2x + 5, AC= 10x + 2. BC= 4x + 9.
11. AB = 3x, BC =x-6, AC = 8x - 14

Answer:

Step 1: Find the prime factorization of the number inside the radical.

Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind.

Step 3: Move each group of numbers or variables from inside the radical to outside the radical. In this case, the pair of 2’s and 3’s moved outside the radical.

Step 4: Simplify the expressions both inside and outside the radical by multiplying.

Step-by-step explanation:

Answer:

$12.55

Step-by-step explanation:

14.50-6.95=7.55

7.55 for the snacks which is what was left over after the ticket and she owes her friend 5 so u add that on

7.55+5=$12.55

Answer:

h(x ) = 3 x+ 3

 g ( x ) = − 4 x + 1

( h +g ) ( x ) = 3 x + 3 − 4 x + 1 = − x + 4

( h + g ) ( 10 )

= − 10 + 4  

= − 6

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

log(50×50)×log(2×2)

log (2500)×log(4)

log(2500×4)

log(10000)

log(10^4)

=4

Answer:

Her door should be 3cm on scale

The actual dimension of the kitchen table is

[tex]Length = 1.6m[/tex]

[tex]Width = 1m[/tex]

Step-by-step explanation:

Given

[tex]Scale= 1 : 40[/tex]

[tex]Kitchen\ Dimension= 6m\ by\ 2m[/tex]

[tex]Door\ Width = 1.2m[/tex]

Solving (a): The width of the door on the scale

Represent the scale width with x

So, we have:

[tex]1 : 40[/tex]

and

[tex]x : 1.2[/tex]

Equate both ratios

[tex]1 : 40 = x : 1.2[/tex]

Represent as fraction

[tex]\frac{1}{40} = \frac{x}{1.2}[/tex]

Solve for x

[tex]x = \frac{1.2}{40}[/tex]

[tex]x = 0.03m[/tex]

[tex]x = 3cm[/tex]

Hence, her door should be 3cm on scale

Solving (b): Actual Dimension of the kitchen table

To solve this, we simply multiply the scale dimensions by 40

[tex]Length = 4cm * 40[/tex]

[tex]Length = 160cm[/tex]

[tex]Length = 1.6m[/tex]

[tex]Width = 2.5cm * 40[/tex]

[tex]Width = 100cm[/tex]

[tex]Width = 1m[/tex]

Hence:

The actual dimension is

[tex]Length = 1.6m[/tex]

[tex]Width = 1m[/tex]

Answer:

7

Step-by-step explanation:

5+2 is the difference between the two numbers

Answer:7

Step-by-step explanation:

hope its help thanks for seeing my answe bye

Answer:

x=-5

Step-by-step explanation:

Statement          Reason

3x+1 =-14              Given

3x=-15                   Subtraction Property of Equality

x=-5                       Division Property of Equality

Answer:

The area of the square being 81 sq m, each side will be 81^0.5 = 9 m. The perimeter is thus 4 times the side = 4*9 = 36 m. The sides of the square are the square root of the area (81m^2), which is 9m.

Step-by-step explanation:

Hope dis helps

Answer:

3/4 AND 4/5 are greater than 11/20

Step-by-step explanation:

multiply 3/4 by 5 and u get 15/20

milptiply 4/5 by 4 and u get 16/20

your finding the LCM and LCD

Answer:

Step-by-step explanation:

-5n  =  1

÷(-5)    ÷(-5)

 n = -¹/₅

n + 15 = (-10)

 -15     -15

n  =  -25

n/5 = -1/5

×5    ×5

n =  -1

n - 13 = -12

  +13     +13

 n  =  1

Answer:

           -5n = 1 : n = -¹/₅

            n+15 = (-10): n = -25

            n/5 = -1/5 : n = -1

            n-13= -12: n = 1

Answer:

Step-by-step explanation:

perfect squares=9,64,49

non perfect squares=24,88,6

Answer:

57°

Step-by-step explanation:

[tex]\angle XYZ \: and \: \angle NOP \: are \: complementary. \\

\therefore m\angle XYZ + m\angle NOP = 90\degree \\

\therefore m\angle XYZ + 33 \degree = 90\degree \\

\therefore m\angle XYZ = 90\degree - 33 \degree \\

\huge \orange {\boxed {\therefore m\angle XYZ = 57\degree}}

[/tex]

I THINK the slope is y=2/1-3 or y=2/1+(-3) if you're looking for slope intercept form. but I for sure know the slope is positive. this is what the lines look like. hope this helps

Answer:

Step-by-step explanation:

1 (=1×1×1)

8 (=2×2×2)

27 (=3×3×3)

64 (=4×4×4)

Since K is the midpoint of JL and we know that JK and KL are separate segments of JL, JK and KL are equal to each other.

6x + 11 = 16x + 1

Subtract 6x and 1 from both sides

10 = 10x

Divide both sides by 10

1 = x

We also know that:

JL = JK + KL = 6(1) + 11 + 16(1) + 1 = 6 + 11 + 16 + 1 = 34

Answer:D

Step-by-step explanation:

If you are asking what 2/3 times 15 is its 10

A) 11.7

Step-by-step explanation:

sin 20/4=sin 87/c

sin 87×4=sin 20c

3.9945=0.3420c

c=3.9945/0.3420

c=11.7

Answer:

.857

Step-by-step explanation:

6/7 = about .8571

rounded to thousandth is .857

Answer:

y=3x+6, y=5x,

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

Step-by-step explanation:

?

Answer:

Its 24

Step-by-step explanation:

Answer: b=-9

Step-by-step explanation:

To find the y-intercept of the line, we can use the points given to make an equation. To find the slope, you use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]m=\frac{3-(-6)}{4-1} =\frac{9}{3} =3[/tex]

Now that we know the slope, we can fill in what we know and solve for y-intercept.

y=3x+b

We can plug in any point to solve for y-intercept.

3=3(4)+b                [multiply]

3=12+b                   [subtract both sides by 12]

b=-9

Now, we know that the y-intercept is b=-9.

Answer: 1/3

Step-by-step explanation: