If NQZ ~ CBK, find BK​

If NQZ ~ CBK, Find BK

Answers

Answer 1

Answer:

65

Step-by-step explanation:

if they are similar their sides are in proportion and so are the corresponding medians

to see their corresponding sides line up the names of the triangles

N  Q  Z

⇵⇵⇵

C  B  K

BK / QZ = 45/27 ; substitute whit what you see in the picture

(4x+1) / (2x+7)  = 45/27 ; cross multiply

27( 4x+1) = 45( 2x+7) ; distribute

108x + 27 = 90 x + 315; subtract 90x and 27 from both sides

108x -90x = 315 -27; combine like terms

18x = 288; divide both sides by 18

x=16

BK = 4* 16 +1 = 65


Related Questions

What is the x-value of the vertex of f(x) = -x2 + 9x - 11 ?

Answers

Answer:

7

Step-by-step explanation:

7

The difference of z and 8

Answers

Answer:ones a number

Step-by-step explanation:

Using a calculator, work out the value of
(7.6 x 10^-4) × (8.2 × 10^11)
Give your answer in standard form.

Answers

I’ll try my best.

(7.6 x 10 ^-4) x (8.2 x 10 ^11)

Swap 10 ^-4 with 8.2

(7.6 x 8.2) x (10 ^-4 x 10 ^11)

Solve (7.6 x 8.2) = 62.32
Solve (10 ^-4 x 10 ^11) = 10 ^-4+11 = 10^7

Therefore = 6.232 x 10^8 = 623, 200, 000

There are 16 tablespoons in one cup. Which table correctly relates the number of cups to the number of tablespoons?

There are 16 tablespoons in one cup. Which table correctly relates the number of cups to the number of

Answers

Answer:

The first table.

Step-by-step explanation:

1 cup = 1 * 16 = 16 tablespoons

2 = 2 * 16 = 32

3 = 3*16 = 48

4 = 4*16 = 64 and so on....

In ΔHIJ, i = 550 inches, h = 460 inches and ∠H=159°. Find all possible values of ∠I, to the nearest degree.

Answers

To find the value of angle ∠I in ΔHIJ, we can use the Law of Cosines, which states that for a triangle with sides a, b, and c, and angle A opposite side a, we have:

c^2 = a^2 + b^2 - 2ab cos(A)

In this case, we know the lengths of sides HI and HJ, and the measure of angle H. We want to find the measure of angle I, so we will use the Law of Cosines to solve for side HJ:

HJ^2 = HI^2 + HJ^2 - 2(HI)(HJ)cos(∠I)

Simplifying this equation, we get:

2(HI)(HJ)cos(∠I) = HI^2 + HJ^2 - HJ^2

2(HI)(HJ)cos(∠I) = HI^2

cos(∠I) = HI^2 / 2(HI)(HJ)

cos(∠I) = HI / 2(HJ)

cos(∠I) = 460 / (2 * 550)

cos(∠I) = 0.41818181818181815

Now, we can use the inverse cosine function (cos^-1) to find the possible values of ∠I:

∠I = cos^-1(0.41818181818181815)

∠I ≈ 65.6°

Note that the Law of Cosines can give two possible values for an angle in a triangle, but in this case, we only get one valid value since the given angle H is obtuse (greater than 90°) and the other possible angle value obtained by the Law of Cosines would be greater than 180°, which is not possible. Therefore, the only possible value of ∠I in this triangle is approximately 65.6° to the nearest degree.

Someone please tell me how to find this

Someone please tell me how to find this

Answers

The value of the missing side using Sine rule is 7.42

Using Sine rule

compute the value of third angle :

180 - (60+80) = 40°

From Sine rule :

a/sinA = b/sinB

let a = missing side

a/sin40= 10/sin60

cross multiply

a* sin60 = 10 * sin40

a = 6.4278/sin60

a = 7.42

Therefore, the value of the missing side is 7.42

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Can you find X? Show how did u find

Can you find X? Show how did u find

Answers

Answer:

x=90°

Step-by-step explanation:

As in the angle, there is a box giving us info that x has to be 90°.

But to be sure that there is no mistake we have to do the following:

Look at all the other angles (see what kind of angles they are).Add all the angles up to 360°( in this case as the angle we are looking for is on a straight line which gives  straight line=180°).Checking and comparing the two answers.

So we are looking at the surroundings of angle x (which is on a straight line) we see that it is a right angle and look at the angle on the same line is a right angle too.

The equation right angle=90° helps us see that because there are two right angles on a 180° line (90°+90°+180°).

Therefore the answer is:

x=90°

A-6=13 answer........

Answers

Answer:

A = 19

Step-by-step explanation:

A - 6 = 13

19 - 6 = 13

A = 19

I hope this helps!

Answer:

19

Step-by-step explanation:

13 + 6 = 19

19 - 6 = 13

PK has endpoints at P(6,-3) and K(3,-9). How long is PK

Answers

Answer:

\(d=\sqrt{45}\), or \(d=3\sqrt{5}\), or about 6.7

Step-by-step explanation:

[] We can use the distance formula to solve.

-> \(d=\sqrt{(x_{2} -x_{1})^{2} +(y_{2} -y_{1})^{2 } }\)

-> P(6, -3) will be point one

-> P(3, -9) will be point two

[] Plugging in and solving:

\(d=\sqrt{(x_{2} -x_{1})^{2} +(y_{2} -y_{1})^{2 } }\)

\(d=\sqrt{(3 -6)^{2} +(-9--3)^{2 } }\)

\(d=\sqrt{(3 -6)^{2} +(-9+3)^{2 } }\)

\(d=\sqrt{(-3 )^{2} +(-6)^{2 } }\)

\(d=\sqrt{9 +36 }\)

\(d=\sqrt{45}\)

\(d=3\sqrt{5}\)

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

The zookeeper has 3 cups of frog food. She feeds the frogs
1/4 cup of food each day. How many days of frog food does
she have?

Answers

Answer:

12 days.

Step-by-step explanation:

The number of days of frog food the zookeeper has is A = 12 days

What do you mean by an Equation?

Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.

It displays the similarity of the connections between the phrases on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are examples of the parts of an equation. When creating an equation, the "=" symbol and terms on both sides are necessary.

Given data ,

Let the number of days of frog food the zookeeper has be A

Now , the value of A is

The number of cups of frog food she has = 3 cups

The number of cups of frog food she feed every day = ( 1/4 ) cups per day

Now , the equation is

A = number of cups of frog food she has / number of cups of frog food she feed every day

On simplifying the equation , we get

The number of days of frog food the zookeeper has A = 3 / ( 1/4 )

The number of days of frog food the zookeeper has A = 3 x 4

The number of days of frog food the zookeeper has A = 12 days

Hence , the number of days is 12 days

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Help please and thank u!!!

Help please and thank u!!!

Answers

Answer:

It’s a graph and we can’t help you but you can plug the equations into desmos (an online graphing calculator) to generate a line

the answer is -6x+2y=3/2

work:

Find the area.
3 ft.
9 ft.
4ft.
5 ft.
Cid +

Find the area.3 ft.9 ft.4ft.5 ft.Cid +

Answers

Figure it out it’s easy

The length of a rectangle is 6 inches longer than it is wide. If the area is 160 square inches, what are the dimensions of the rectangle?

Answers

Answer:

L = 16

w = 10

Step-by-step explanation:

Givens

Area = 160 sqr inches

width = x

length = x + 6

Equation

Area = L * w

Solution

Substitute in the equation all of the givens.

160 = x(x + 6)                     Remove the brackets

160 = x^2 + 6x                   Subtract 160 from both sides.

160-160 = x^2 + 6x - 160

0 = x^2 + 6x - 160

This equation factors. Turn it around first

x^2 + 6x - 160 =  0

(x - 10)(x + 16) = 0

Answer

x (width) = 10

x + 16 = 16

Answer:

The length is 16 inches and the width is 10 inches.

Step-by-step explanation:

Which correctly shows the substitution step for the system?
y = x - 4
-4x - 6y = -16
O x-4 = -4x-6y
-4(x-4) - 6y = -16
O-4x-6(x-4) = -16
6y = x - 4

Which correctly shows the substitution step for the system?y = x - 4-4x - 6y = -16O x-4 = -4x-6y-4(x-4)

Answers

The solution to the system of equations is x = 4 and y = 0. In summary, the correct substitution step for the system is: -4x - 6(x - 4) = -16 .C answer is correct

To solve the given system of equations:

1) y = x - 4

2) -4x - 6y = -16

We can use the substitution method to eliminate one variable and solve for the other.

Step 1: Solve the first equation (1) for y in terms of x.

  y = x - 4

Step 2: Substitute the expression for y from equation (1) into equation (2).

  -4x - 6(x - 4) = -16

Step 3: Simplify and solve for x.

  -4x - 6x + 24 = -16

  -10x + 24 = -16

  -10x = -16 - 24

  -10x = -40

  x = -40 / -10

  x = 4

Step 4: Substitute the value of x back into equation (1) to solve for y.

  y = 4 - 4

  y = 0

Therefore, the solution to the system of equations is x = 4 and y = 0.

In summary, the correct substitution step for the system is:

-4x - 6(x - 4) = -16

By substituting the expression for y from equation (1) into equation (2) and simplifying, we obtain the equation -4x - 6y = -16, which can be further solved to find the values of x and y. C answer is correct

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From the top of a lighthouse 82 m tall, a guard sees two ships at sea.
The angle of depression to the closer ship is 53° and to the further ship is 39°.
How far are the ships apart from each other to the nearest metre?

From the top of a lighthouse 82 m tall, a guard sees two ships at sea.The angle of depression to the

Answers

The distance between the two ship based on the angle of depression is 42 meters.

The distance of each ship can be calculated thus:

TanX = opposite / Adjacent

The first ship:

Tan53 = distance/ 82

distance= 108.82 meters

The second ship:

Tan39 = distance/ 82

distance= 66.40 meters

The Difference between the ships are :

108.82 - 66.40 = 42.42 meters

Therefore, the distance between the two ships is 42 meters.

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Is f = 2 a solution to the inequality below?
f<1
yes
no



HELP PLS IM FAILINGGG

Answers

Answer: no

Step-by-step explanation: 2 is not less than 1

Answer:

No because if you plug in f with 2 it is saying 2 is less than 1 which is not true so it would be

No

The scale of a soccer field is 5cm = 7m. If the drawing has dimensions 7.5cm x 5cm, What are the actual dimensions of the soccer field?​

Answers

Answer:

35.5cm^2

Step-by-step explanation:

I believe we're talking about a rectangular. So it would be length * width or 7.5cm * 5cm = 35.5cm^2


Four times a number, minus 4, is equal to three times the number, plus 6. Find the number

Answers

Answer:

42

Step-by-step explanation:

cann someone please help mee

cann someone please help mee

Answers

Answer:

this is the answer

Step-by-step explanation:

42.7893

First you find what is 7% of 39.99 by multiplying 39.99•0.07

39.99•0.07= 2.7993

Now because you are being taxed (MORE money) you add that amount to the original cost

2.7993+39.99=42. 7893

You are probably going to need to round it but I’ll leave it like that bc I don’t know if u need to round it to its nearest tenth, hundredth :)

evaluate the following question 109*104​

Answers

Answer: Exact Form:

109^104

Decimal Form:

7.8046923 x 10^211

Step-by-step explanation:

Answer:

11336

Step-by-step explanation:

109*104= 11336

hdhdhdhdhdhdjudjdhdhsh

Log20x=3 need the answer for algebra 2

Answers

Answer:

x = 50

Step-by-step explanation:

How many commutes are exactly 68 minutes

How many commutes are exactly 68 minutes

Answers

Answer:

three

Step-by-step explanation:

stem. is the tens place and the leaf is the. ones place

so you want to find 68 so you look in the stem column and look for six

in the row there are 6 numbers which mean:

60, 61, 67, 68, 68, 68

as you can see there is three 68 there for the answer ths 3

The product of two negative integers is a negative integer.

Answers

Answer:

False. The product of two negative integers is a positive integer.

A group of 70 people is going on a boat tour. If each boat holds 26 people, how many people will be on the last boat?

Answers

Answer:

18

Step-by-step explanation:

18 because 26+26=52 70-52=18

WILL MARK BRAINLIEST Select the correct answer.
What is the slope of the line in this graph?
y 10
9
8
00
17
6
5
5
w
3
-2
N
X
1
2
3
5
ch
6
7
7
GO
9
10
ОА.
OB &
C.
9
OD

WILL MARK BRAINLIEST Select the correct answer.What is the slope of the line in this graph?y 10980017655w3-2NX1235ch677GO910.OB

Answers

Hope this helps you !! :)

WILL MARK BRAINLIEST Select the correct answer.What is the slope of the line in this graph?y 10980017655w3-2NX1235ch677GO910.OB

The solution is, the slope of the line in the graph is 5/7.

What is slope?

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

here, we have,

from the given graph, we get,

the line is passing through the points ( 0,0) and, (5,7).

now, we know that

slope of a line is,

m = x1 - x2 / y1 - y2

so, we have,

here,

Slope(m) = 5-0/7-0

               = 5/7

Hence, The solution is, the slope of the line in the graph is 5/7.

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The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 40 mm

Answers

9514 1404 393

Answer:

  8000π mm^3/s ≈ 25,133 mm^3/s

Step-by-step explanation:

The rate of change of volume is found by differentiating the volume formula with respect to time.

  V = 4/3πr^3

  V' = 4πr^2·r'

For the given numbers, this is ...

  V' = 4π(20 mm)^2·(5 mm/s) = 8000π mm^3/s ≈ 25,133 mm^3/s

_____

Additional comment

By comparing the derivative to the area formula for a sphere, you see that the rate of change of volume is the product of the area and the rate of change of radius. This sort of relationship will be seen for a number of different shapes.

The base area of a swimming pool is 192m³.the Dept of the swimming pool is 1.8cm.find the volume of the water the swimming pool can hold. please answer as soon as possible and please follow ❣️​

Answers

The swimming pool can hold a volume of 3.456 cubic meters of water.

The volume of water that the swimming pool can hold can be calculated by multiplying the base area of the pool by its depth. In this case, the base area is given as 192 m² and the depth is 1.8 cm.

However, it is important to note that the depth should be converted to meters before performing the calculation.

To convert 1.8 cm to meters, we divide it by 100 (since there are 100 centimeters in a meter):

Depth = 1.8 cm ÷ 100 = 0.018 m

Now we can calculate the volume of water using the formula:

Volume = Base Area × Depth

Substituting the given values, we get:

Volume = 192 m² × 0.018 m = 3.456 m³

Therefore, the swimming pool can hold a volume of 3.456 cubic meters of water.

In the explanation, we use the formula for calculating the volume of a rectangular prism, which is given by multiplying the base area by the depth. We convert the depth from centimeters to meters and then substitute the given values into the formula to find the volume of water that the swimming pool can hold, which is 3.456 cubic meters.

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Determine a series of transformations that would map Figure I onto Figure J.
A blank followed by a blank

Answers

The series of transformations that would map Figure M onto Figure N will be firstly rotated about the origin and then translated upward by 3 units.

What is a transformation of a shape?

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the structure and/or location of the object.

From before the refers to the object's initial condition, and Picture, after transformation, refers to the object's ultimate structure and location.

Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.

If the geometry is rotated, then there is no change in angles.

The translation does not change the shape and size of the geometry. But changes the location.

The series of transformations that would map Figure M onto Figure N will be firstly rotated about the origin and then translated upward by 3 units.

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Disclaimer

The question given by you is incomplete, so a similar question have been solved here and the image is attached.

Determine a series of transformations that would map Figure M onto Figure N.

Determine a series of transformations that would map Figure I onto Figure J.A blank followed by a blank
Determine a series of transformations that would map Figure I onto Figure J.A blank followed by a blank

What are the coordinates of the point labeled C in the graph?

A. (-3, 2)
B. (3, 2)
C. (2,-3)
D. (3,-2)

What are the coordinates of the point labeled C in the graph?A. (-3, 2)B. (3, 2) C. (2,-3)D. (3,-2)

Answers

The correct answer is A. (-3,2).

Answer:

(-3,2)

Step-by-step explanation:

C is located at positive -3 on the x-axis (horizontal) and located at positive 2 on the y (vertical).

what is the slope of an equation of the line that passes through the point (3,-5) and has a slope of 0

Answers

Answer:

y=0x-5

Step-by-step explanation:

hope this helps :3

if it did pls mark brainliest

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