BX is the BISECTOR of ZABC. (Diagrams are not drawn to scale)
1
If m_ABC = 5x +18 and mZCBX = 2x+12, find the value of x, and the mZABC.
B

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: Rate of water flow is 12/5 gallon per minute

Step-by-step explanation:

Given the following :

Volume of faucet pot = 2 gallon

Time taken to fill the faucet pot = 5/6 of a minute = (5/6) minute.

Rate of water flow:

Volume of faucet pot / time taken

= 2 gallon ÷ (5/6) minute

= 2 gallon × (6/5) minutes

= (12 /5) gallon / minute

= 2 2/5 gallon / minute

Hence rate of water flow is 12/5 gallon per minute.

Answer:

2 2/5

Step-by-step explanation:

2 2/5

Answer:

7=8/5 (3x+5)

or (7*5)= 24x + 40

or 24x = -5

x = -5/24

Step-by-step explanation:

Answer:

height: 9 units

width: 9 units

Step-by-step explanation:

Answer: 9m^4- 30m^3 +37m^2 - 20m + 4  

Step-by-step explanation:

(3m^2 -5m +2)^2  is the same as (3m^2 -5m +2)(3m^2 -5m +2)  

Now apply the distributive property 3 times to solve.

3m^2(3m^2 -5m + 2) =   9m^4 - 15m^2 + 6m^2

-5m(3m^2 -5m+2) = -15m^3 +25m^2 -10m

2(3m^2 -5m +2)  =  6m^2 - 10m + 4

Now add the solutions

(9m^4 - 15^2 + 6m^2) (-15m^3 + 25m^2 -10m)(6m^2 -10m +4) =

9m^4- 30m^3 +37m^2 - 20m + 4

Answer:

The correct option is;

[tex]The \ domain \ restriction \ x \geq \dfrac{17}{2} \ results \ in \ m^{-1}(x) = \dfrac{17}{2} \pm \sqrt{x + \dfrac{289}{4} }}[/tex]

Step-by-step explanation:

The given information is that m(x) = x² - 17·x

The above equation can be written in the form;

y = x² - 17·x

Therefore;

0 = x² - 17·x - y

From the general solution of a quadratic equation, 0 = a·x² + b·x + c we have;

[tex]x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex]

By comparison to the equation,0 = x² - 17·x - y, we have;

a = 1, b = -17, and c = -y

Substituting the values of a, b and c into the formula for the general solution of a quadratic equation, we have;

[tex]x = \dfrac{-(-17)\pm \sqrt{(-17)^{2}-4\times (1) \times (-y)}}{2\times (1)} = \dfrac{17\pm \sqrt{289+4\cdot y}}{2}[/tex]

Which can be simplified as follows;

[tex]x = \dfrac{17\pm \sqrt{289+4\cdot y}}{2}= \dfrac{17}{2} \pm \dfrac{1}{2} \times \sqrt{289+4\cdot y}} = \dfrac{17}{2} \pm \sqrt{\dfrac{289}{4} +\dfrac{4\cdot y}{4} }}[/tex]

And further simplified as follows;

[tex]x = \dfrac{17}{2} \pm \sqrt{\dfrac{289}{4} +y }} = \dfrac{17}{2} \pm \sqrt{y + \dfrac{289}{4} }}[/tex]

Interchanging x and y in the function of the inverse, m⁻¹(x), we have;

[tex]m^{-1}(x) = \dfrac{17}{2} \pm \sqrt{x + \dfrac{289}{4} }}[/tex]

We note that the maximum or minimum point of the function, m(x) = x² - 17·x found by differentiating the function and equating the result to zero, gives;

m'(x) = 2·x - 17 = 0

x = 17/2

Similarly, the second derivative is taken to determine if the given point is a maximum or minimum point as follows;

m''(x) = 2 > 0, therefore, the point is a minimum point on the graph

Therefore, as x increases past the minimum point of 17/2, m⁻¹(x) increases to give;

[tex]The \ domain \ restriction \ x \geq \dfrac{17}{2} \ results \ in \ m^{-1}(x) = \dfrac{17}{2} \pm \sqrt{x + \dfrac{289}{4} }}[/tex] to increase m⁻¹(x) above the minimum.

Answer:

b

Step-by-step explanation:

edge 2021

Answer:10,2

Step-by-step explanation:

Answer:

the answer you are looking for is A

Step-by-step explanation:

Answer:

4567

Step-by-step explanation:

add 2

add 88

sub 99

Answer

I think first 3

Step-by-step explanation:

A slope is also known as the gradient of a line. The points that would be on lines that represent a unit rate greater than the one represented in the table are the first three points.

A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

slope = (y₂-y₁)/(x₂-x₁)

The slope of the function that the table represents is 2.2.

Also, the slope of the different points and the origin will be shown on the points that would be on lines that represent a unit rate greater than the one represented in the table are the first three points.

Hence, the points that would be on lines that represent a unit rate greater than the one represented in the table are the first three points.

Learn more about Slope of Line:

https://brainly.com/question/14511992

#SPJ2

Answer:  (x - 3)² + (y + 0.5)² = 3.25    →    [tex](x-3)^2+\bigg(y+\dfrac{1}{2}\bigg)^2=\dfrac{13}{4}[/tex]

Step-by-step explanation:

Concentric means they have the same center but different radii.

The equation of a circle is:  (x - h)² + (y - k)² = r²    where

Complete the square to find the center of the circle

x² - 6x + _____  + y² + y + _____ = 1 + ____ + ____

    ↓                              ↓

-6/2 = -3                    1/2 = 1/2

Equation: (x - 3)² + (y + 1/2)² = r²

Since the circle passes through point (x, y) = (4, -2), input that into the equation to find r².

(x - 3)² +  (y + 1/2)² = r²

(4 - 3)² + (-2 + 1/2)² = r²

  (1)²    +  (-3/2)²    = r²

   1      +     9/4      = r²

                 13/4     = r²

Equation: (x - 3)² + (y + 1/2)² = 13/4    →   [tex](x-3)^2+\bigg(y-\dfrac{1}{2}\bigg)^2=\dfrac{13}{4}[/tex]

In decimal form: (x - 3)² + (y + 0.5)² = 3.25

Answer:

-1.5

Step-by-step explanation:

The product of slopes of two perpendicular lines = -1

If line one has a slope of 2/3;

Let line two, perpendicular to line one, has a slope of a

2/3 × a = -1

a = -1 ÷ 2/3 = -3/2 = -1.5

Answer:

The answer is -2.066 rounded up from the thousandths

Step-by-step explanation:

It is a bit difficult to divide by such an exact value, but I hope this helps!

Answer:

6cm

Step-by-step explanation:

a2 + b2 = c

(1.4)2 + (2)2 = c

1.96 + 4 = 5.96

=5.96cm (round it)

final answer = 6cm

Answer:

CB = 1.4 cm

Step-by-step explanation:

Given is a right angled triangle.

[tex] {x}^{2} + {1.4}^{2} = {2}^{2} \\ {x}^{2} + 1.96= 4 \\ {x}^{2} = 4 - 1.96 \\ {x}^{2} = 2.04 \\ x = \sqrt{2.04} \\ x = 1.42828569 \\ x \approx 1.4[/tex]

CB = 1.4 cm

Answer:

[tex]\frac{965777}{55555}[/tex]

Step-by-step explanation:

The answer is quite simple, just divide both sides and rewrite the equation to get it. Maybe focus more on the question rather than yourself next time :)

Answer:

about 39%

Step-by-step explanation:

In order to find the percent, you need to find the total amount of games they played first.

9 games + 7 games + 2 games = 18 games total

Divide the number of games they won by the total amount of games they played:

7 games / 18 games = about 39%

Answer:

[tex] \boxed{ \bold{ \boxed {\huge{ \sf{ {x}^{2} + 7x}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{x(x + 7)}[/tex]

Distribute x through the parentheses

[tex] \dashrightarrow{ \sf{x \times x + x \times 7}}[/tex]

[tex] \dashrightarrow{ \boxed{ \sf{ {x}^{2} + 7x}}}[/tex]

Hope I helped!

Best regards! :D

Answer:

First one.

Step-by-step explanation:

4+(-8) -10+22 =12

24+(-12) 0+ (-12) =-24

Please brainliest! Im on my way to another rank!

The expression 24 + (-12) has a sum of 12 after applying the arithmetic operation options (b) and (c) is correct.

The study of numbers and their operations, which are relevant to all other fields of mathematics, is part of the discipline of arithmetic operations. Addition, subtraction, multiplication, and division are the basic operations that make up this system.

It is given that:

The expressions are shown in the picture.

After solving using Arithmetic operation:

Take the expression:

= 24 - 12

= 12

-10 + 22

= 12

Thus, options (b) and (c) are correct.

Learn more about the arithmetic operations here:

brainly.com/question/25834626

#SPJ2

Answer:

you can fit 1000 hairs in 10 cm

Step-by-step explanation:

[tex]10^2= .01[/tex]

[tex].01*1000 = 10[/tex]

Answer:

$9.86

Step-by-step explanation:

First, write both numbers in the same form. Convert 8

1

2

to a decimal.

8

1

2

= 8+

1

2

= 8+

1×5

2×5

= 8+

5

10

= 8+0.5

= 8.5

Multiply.

11.6

× 8.5

580

+ 9280

98.60

Kendra earned $98.60 last week.

Now multiply to find how much money Kendra donated to the charity last week. She earned $98.60, and she donates  

1

10

of her earnings each week.

First, write both numbers in the same form. Convert  

1

10

to a decimal.

1

10

=0.1

Multiply.

98.6

× 0.1

9.86

Kendra donated $9.86 to the charity last week.

Hey there!

[tex]6x+2y=12[/tex]

Let's start by adding -2y to both sides.

[tex]6x+2y+-2y=12+-2y\\\text {This equals: 6x=-2y+12}[/tex]

Our second and final step is to divide both sides by 6.

[tex]\frac{6x}{6}=\frac{-2y+12}{6} \\x=\frac{-1}{3}y+2(ANSWER)[/tex]

If you are looking to solve y, the answer is 6 - 3x.

If you are looking for x, the answer is x = 2 - y/3

Hope this helps and have a great weekend!

[tex]\text{-TestedHyperr}[/tex]

Answer:

56mph

Step-by-step explanation:

If d=rt,

then s=d/t,

so if d=67.2 and t=1.2,

then 67.2/1.2=56

Answer:

Wdym

Step-by-step explanation:

wdym

Step-by-step explanation:

By Pythagoras' Theorem, z^2 + (2.7)^2 = (4.2)^2.

This means that z^2 = (4.2)^2 - (2.7)^2 = 10.35.

So z = 3.2 (1 d.p.)

Step-by-step explanation:

x=4.2

y=2.7

z=x

(×+y=×

(4.2+2.7=×)

×=6.9

Answer: [tex](1,-\frac{3}{2})[/tex]

Step-by-step explanation:

To find the midpoint, you use the formula [tex]midpoint=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex].

The points are (-2,-1) and (4,-2).

[tex]midpoint=(\frac{-2+4}{2} ,\frac{-1+(-2)}{2} )[/tex]              [add]

[tex]midpoint=(\frac{2}{2} ,\frac{-3}{2} )[/tex]                            [divide]

[tex]midpoint=(1 ,\frac{-3}{2} )[/tex]

Now, we know the midpoint is [tex](1,-\frac{3}{2})[/tex].

Answer:

-16

Step-by-step explanation:

did the math

Answer:115.38

Step-by-step explanation:

115.378

=115.38

The hundredth digit is seven

Answer:

perimeter of new room = 2[(l+20)*b]

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

all numbers are integers