Find each measurement. Assume that each figure is not drawn to scale.
1. NQ
1 in.
2. GH
F
9.7 mm
G
H
Р
N
15 mm
Find the value of x and YZ if Y is between X and Z.
3. XY = 2x + 1, YZ = 6x, and XZ = 81

Answer:

x²- √3 x +1/2

Step-by-step explanation:

To write a quadratic equation with roots only:

x² -(sum of the roots)x+(product of roots)

x²-((√3-1/2)+(√3+1/2)x + ((√3-1/2)(√3+1/2)

x² -(2√3)/2 + ( 9-1)/4

x²- √3 x +1/2

Answer:

B

1/2

one half

Step-by-step explanation:

Y = mx + b

m = slope

b = Y intercept

Answer:

(8a)⁻¹⁸

1 / (8a)¹⁸

Step-by-step explanation:

(((8a)^6a)^4/4a))^-3

((8a)^6a*4/4a)^-3

((8a)^6)^-3

(8a)^6*(-3)

(8a)⁻¹⁸

1 / (8a)¹⁸

Answer:

True on both.

Step-by-step explanation:

The center of dilation is a fixed point in the plane. If the scale factor is greater than 1, the image is an enlargement (a stretch). If the scale factor is between 0 and 1, the image is a reduction (a shrink).

Given:

Point O is on line segment NP.

OP=10, NP=2x, and NO=x+7.

To find:

The numerical length of NO.

Solution:

If point O is on line segment NP, then by segment addition property, we get

[tex]NP=NO+OP[/tex]

[tex]2x=(x+7)+10[/tex]

[tex]2x=x+17[/tex]

Subtract both sides by x.

[tex]2x-x=17[/tex]

[tex]x=17[/tex]

The value of x is 17.

Now,

[tex]NO=x+7[/tex]

[tex]NO=17+7[/tex]

[tex]NO=24[/tex]

Therefore, the numerical length of NO is 24units.

Answer:

x=1

Step-by-step explanation:

Use the distributive property on 2(4x - 4), which makes the equation 3x+8x-8=3

Simplify, which makes the equation 11x-8=3

Add 8 to both sides, which makes the equation 11x=11

Divide both sides by 11, which makes the equation x=1

Answer:

  125°°

Step-by-step explanation:

∠DFC is a vertical angle with ∠BFE. As such, it is the sum of the right angle and the one marked 35°.

  ∠DFC = 90° +35°

  ∠DFC = 125°

_____

Alternate solution

∠CFA = 90° = ∠CFB +∠BFA

∠CFB = 90° -35° = 55°

∠BFC and ∠CFD are a linear pair, so total 180°

∠CFD = 180 -55° = 125° = ∠DFC

Answer:

Y=13+3x

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-4, 2) and (6, 8)

The slope is

[tex]m = \frac{8 - 2}{6 + 4} = \frac{6}{10} = \frac{3}{5} \\ [/tex]

We have the final answer as

[tex] \frac{3}{5} \\ [/tex]

Hope this helps you

Answer:

{ (-2,2) , (0,2) , (7,2) , (11,2) }

Step-by-step explanation:

Your x variable cannot repeat.

Answer:

They should all be true because she is 56 inches tall and the minimum for the roller coasters is 54 inches. So its probably the same minimum for the drop tower.

Step-by-step explanation:

Answer:

a.  True

b.  True

c.  True

d.  True

Step-by-step explanation:

all true because the min height to ride the drop tower is 51 in

and the roller coaster is almost the same as 51 in.

if Cindy is 56 in high, then Cindy can ride both the roller coaster and the drop tower.

Answer:

The answer is on point (3,1)

Answer:

(-4,8) and (-4,-6)

Step-by-step explanation:

As you can see, in the answer I have provided above, the x-coordinates are the same and these points are 7 units away from point D as well.

Answer:

Use a graph calculator

Step-by-step explanation:

[tex]-\frac{4}{6} + -\frac{7}{9}[/tex] = [tex]-\frac{13}{9}[/tex]

Step 1: Cancel 4/6 and change to 2/3.

[tex]= -\frac{2}{3} - \frac{7}{9}[/tex]

Step 2: Adjust Fractions based on the LCM.

The LCM of 3 , 9 : 9

[tex]= -\frac{6}{9} - \frac{7}{9}[/tex]

[tex]= \frac{-6 - 7}{9}[/tex]

Step 3: Subtract the numbers : - 6 -7 = -13

[tex]= -\frac{13}{9}[/tex]

Answer:

C. x= 4

Step-by-step explanation:

|x + 3| = 7

x + 3 = 7

x = 7 - 3

x = 4

Answer:

x = 4

Step-by-step explanation:

|x + 3| = 7

=> x + 3 = 7

=> x = 7 - 3

=> x = 4

Answer:

x>-2

Step-by-step explanation:

-3x+2<8

Subtract 2 from each side

-3x+2-2<8 -2

-3x < 6

Divide each side by -3. remembering to flip the inequality

-3x/-3 >6/-3

x>-2

Answer:

Yes the number 42 is at its simplest form.

Step-by-step explanation:

Any whole number is already at its simplest form.

Answer:

x = 0

Step-by-step explanation:

Step 1: Write out equation

x + 3 = x + 3

Step 2: Add x to both sides

2x + 3 = 3

Step 3: Subtract 3 on both sides

2x = 0

Step 4: Divide both sides by 2

x = 0

Answer:

Step-by-step explanation:

x + 3 = x + 3

3 = 3

infinitely many solutions

Answer:

31.42m for a single layer

Answer:

C

Step-by-step explanation:

Just took it

your correct answer is C

(0.80)

Answer:

x ≥ 0

y ≥ 0

x + y ≥ 5

29.50 × x + 43.00 × y ≤ 200

= 29.50x + 43y ≤ 200

Step-by-step explanation:

From the question we are told that:

If x and y represent the number of tickets Paige purchased for the 2 types of seats, Paige would like to attend at least 5 concerts.

The inequalities that models the situation above is given as:

x ≥ 0

y ≥ 0

x + y ≥ 5

Also from the question, we were told that: There are two types of seats at the concerts, which are priced at $29.50 and $43.00. Paige would like to attend at least 5 concerts and spend no more than $200.

The inequalities that models the situation above is given as:

29.50 × x + 43.00 × y ≤ 200

29.5x + 43y ≤ 200

Therefore, the system of inequalities that could Paige use to model this situation is:

x ≥ 0

y ≥ 0

x + y ≥ 5

29.50 × x + 43.00 × y ≤ 200

= 29.5x + 43y ≤ 200

Answer:

d) x ≥0

y ≥ 0

x + y ≥ 5

29.5x + 43y ≤ 200

Step-by-step explanation:

Answer:

what

Step-by-step explanation:

Answer:

3rd option

Step-by-step explanation:

__

PQ means the whole length of PQ, same goes to the others (QR and PR)

The first option means the angles P, Q and R

The second option means the points P, Q and R

Answer: $28,000

             +$1,000

               $29,000

Answer:

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