xz Is the prependicualr disector of segment WY. WY=66. Solve for k. Enter a number only.

The length of the line segment PT is 72 / 7.  

In this problem we have the case of five colinear points, that is, points lying on a line, where the following conditions are fulfilled:

PT = 2 · PQ = 2 · QT        (Q is the midpoint of PT)              (1)

QT = 2 · PR = 2 · RT          (R is the midpoint of QT)            (2)

RT = 2 · RS = 2 · ST          (S is the midpoint RT)                  (3)

PS = 9                                                                                     (4)

PT = PS + ST                                                                          (5)

By (4) and (3) in (5):

PT = 9 + RT / 2                    (5b)

(1) in (5b):

2 · QT = 9 + RT / 2              (5c)

(2) in (5c):

4 · RT = 9 + RT / 2    

(7 / 2) · RT = 9

RT = 18 / 7

By (5b):

PT = 9 + 18 / 14

PT = 9 + 9 / 7

PT = 72 / 7

The length of the line segment PT is 72 / 7.    

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Answer:

x = 32

Step-by-step explanation:

x - 7 = 25

To solve equations, you do the some thing to both sides to isolate x.

After adding 7 to both sides we have:

x = 32

Answer:

x = 32

Step-by-step explanation:

⇒ Isolate the variable x by adding 7 to both sides:

x – 7 + 7 = 25 + 7

⇒ Evaluate the equation to finally get:

x = 32

Hope this helps! :)

Answer:

fifty eight centimeters I believe

Answer:

58cm

Step-by-step explanation:

a rectangle has two of the same sides so 16×2=32

and

13×2=26

so

32+26=58

The wrench having the size as 5/8inch will accommodate the largest bolt.

When the denominator of all the fractions is same , then the fraction with largest numerator is the largest .

For Example : in 2/9 and 7/9   , the largest is 7/9.

In the given question  

the different sizes of wrenches are 1/2 inch, 7/16 inch, 5/8 inch and 15/32 inch.

For comparison , first make the denominator equal

To make the denominator equal , take LCM of denominator

LCM of 2,16,8,32 is 32.

so in 1/2  multiplying the denominator and numerator by 16 we get

1/2 inches as 16/32inches    ...(i)

In 7/16  multiplying the denominator and numerator by 2 we get

7/16 inches as 14/32 inches     ...(ii)

In 5/8  multiplying the denominator and numerator by 4 we get

5/8inches as 20/32 inches    ...(iii)

Writing all sizes of wrenches with same denominator

{16/32 , 14/32 , 20/32 , 15/32 }

Rearranging in descending order we get ,

{20/32 > 16/32 > 15/32 > 14/32}  

Which means {5/8 > 1/2 > 15/32 > 7/16}    ...(from (i),(ii)&(iii)  )

Therefore , the wrench having the size as 5/8 inch will accommodate the largest bolt. the correct option is (c)5/8inch .

The given question is incomplete , the complete question is

Workers use box end wrenches in sizes such as 1/2 inch, 7/16 inch, 5/8 inch and 15/32 inch. Which size of wrench accommodates the largest bolt?

(a)1/2 inch

(b)7/16 inch

(c)5/8 inch

(d)15/32 inch

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Answer:8(2g+1)(4g2-2g+1)

Step-by-step explanation:

The value of A from the given expression is 4288.5

Exponential equations are inverse of logarithmic equation and the standard form of the equation is given as:

y = ab^x

Given the expression below:

A = 3000(1+0.018/12)^(12*2)

Simplify for the value of A
A = 3000(1+0.015)^24

A = 3000 (1.015)^24

A = 3000 (1.4295)

A = 4288.5

Hence the value of A from the given expression is = 4288.5

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Answer:

The graph shows no trend.

Step-by-step explanation:

See attachment for given graph

Required

What is true about the graph?

From the attached graph, the following points can be deduced:

Because of the highlighted points, it is safe to conclude that the graph shows no trend.

Answer:

D

Step-by-step explanation:

Answer: 1,176

Step-by-step explanation:

Answer:

33. y = -x² - 2x + 3

34. y = x² + 4x + 3

Equation of a parabola is given by y = a(x - h)² + k

where:

33.

Looking at the graph find the vertex, vertex is at (-1, 4)

Take one point: (1, 0)

Substitute (h, k) = (-1, 4) and (x, y) = (1, 0) into equation to find value of a:

Now equation:

y = a(x - h)² + k

y = -1(x - (-1))² + 4

y = -(x + 1)² + 4

y = -(x² + 2x + 1) + 4

y = -x² - 2x - 1 + 4

y = -x² - 2x + 3

34.

The vertex is at (h, k) = (-2, -1) and the curve passes through (x, y) = (0, 3)

Find value of a:

Now equation:

y = a(x - h)² + k

y = 1(x - (-2))² - 1

y = 1(x + 2)² - 1

y = (x² + 4x + 4) - 1

y = x² + 4x + 3

Answer:

[tex]\textsf{33.} \quad y=-x^2-2x+3[/tex]

[tex]\textsf{34.} \quad y = x^2+4x+3[/tex]

Step-by-step explanation:

Factored form of a quadratic equation:

[tex]\boxed{y=a(x-r_1)(x-r_2)}[/tex]

where:

From inspection of the graph:

Substitute the roots and the vertex into the formula and solve for [tex]a[/tex]:

[tex]\begin{aligned}y & =a(x-r_1)(x-r_2)\\\implies 4 & = a(-1-(-3))(-1-1)\\4 & = a(2)(-2)\\4 & = -4a\\-4a & = 4\\\dfrac{-4a}{-4} & = \dfrac{4}{-4}\\a & = -1\end{aligned}[/tex]

Substitute the found value of [tex]a[/tex] and the roots into the formula and rewrite in standard form:

[tex]\begin{aligned}y & =a(x-r_1)(x-r_2)\\\implies y & = -1(x-(-3))(x-1)\\y & = -(x+3)(x-1)\\y & = -(x^2+2x-3)\\y & = -x^2-2x+3\end{aligned}[/tex]

Therefore, the equation of the parabola in standard form is:

[tex]y=-x^2-2x+3[/tex]

Vertex form of a quadratic equation:  

[tex]\boxed{y=a(x-h)^2+k}[/tex]

where:

From inspection of the graph:

Substitute the vertex and y-intercept into the formula and solve for [tex]a[/tex]:

[tex]\begin{aligned}y & = a(x-h)^2+k\\\implies 3 & = a(0-(-2))^2+(-1)\\3 & = a(0+2)^2-1\\3 & = 4a-1\\3 +1& = 4a-1+1\\4 & = 4a\\4a & = 4\\\dfrac{4a}{4} & = \dfrac{4}{4}\\a & = 1\end{aligned}[/tex]

Substitute the found value of [tex]a[/tex] and the vertex into the formula and rewrite in standard form:

[tex]\begin{aligned}y & = a(x-h)^2+k\\\implies y & = 1(x-(-2))^2+(-1)\\y & = (x+2)^2-1\\y & = (x+2)(x+2)-1\\y & = x^2+4x+4-1\\y & = x^2+4x+3\end{aligned}[/tex]

Therefore, the equation of the parabola in standard form is:

[tex]y & = x^2+4x+3[/tex]

Answer:

1.99677419355

Step-by-step explanation:

Answer:

1.996 rounds to 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the number of games be x

Inequality:

Since there should be more than 0 left, another inequality for it:

So 13 < x < 15, which leaves us with 14

Answer:

C or A I think it's correct

Answer: 1,3,60°

Step-by-step explanation:

Answer:

The height of the tree would be 30 ft.

Step-by-step explanation:

This is because the smaller triangle would be 6/12 and the bigger triangle would be x/60. When you cross multiply these you find that x is 30.

Answer:

y = 1/2x + 4

Step-by-step explanation:

Answer:

90 percent

Step-by-step explanation:

easy 36/40=0.9

that means 90 percent

just get big number divided by small

Answer:

90%

Step-by-step explanation:

I hope this helps!

Answer: 475 inches

Step-by-step explanation:

if we have 100 tiles and each is 4.75 inches wide

100*4.75=475 inches

Answer:

you dont have 7 to 11

Step-by-step explanation:

13.a

15.a

12.i

14.h

Answer:

3x + 10 y = -80

Step-by-step explanation:

We are given the equation y = −3/10x − 8  and we want to write it in standard form.

Standard form is written as ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot equal 0 and a cannot be negative.

The equation is currently is written in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept.

As you can see, in standard form, x and y are on both sides, but in slope-intercept, the equation is solved for y.

So, to start, we can add 3/10x to both sides.

y = -3/10x - 8

+3/10x +3/10x

_______________

3/10x + y = - 8

Now, we have x and y on the same side, but remember that the the coefficients should be integers (non-fractions).

So, we need to clear the fraction.

Multiply both sides by 10.

10(3/10x + y) = 10(-8)
3x + 10y = -80

Answer:

It’s A took test

Step-by-step explanation:

Answer: I'm pretty sure it's A!

Step-by-step explanation: It's on Edge, hope this helped :)

Answer:

The answer is 32.63

Step-by-step explanation:

Answer:

= −26.97

Step-by-step explanation:

9514 1404 393

Answer:

  1 scoop

Explanation:

There are 16 tablespoons in 1 cup, so Xander uses (1/8)·(16 tbsp) = 2 tbsp of topping for each scoop of ice cream.

For 1 scoop of ice cream, Pedro will use 1+1 = 2 tbsp of topping.

Hence, both use the same amount of topping (2 tbsp) for 1 scoop of ice cream.

Answer:

Step-by-step explanation:

Option C is the correct answer

Answer:

The answer is that Alex wrote checks for 42.50 more than the amount he had.

Step-by-step explanation:

If he has -42.50 that means he owes the bank 42.50 the only way he would owe the bank that much is if he spent 42.50 that he didn't have.