The following two right triangles are similar.If side PQ = 42, side LM = 28, and side QR = 24, what is the length of side MN?
a. 16
b. 10
c. 13
d. 14

Answer:

35 is correct

Step-by-step explanation:

hope this helps.

Answer:

35°

Step-by-step explanation:

Angle ACD is 70°. The little tick marks on the angle mean both sides of the split are the same amount. This means if you divide the angle in half, you will find out what both of them are equal to.

Answer:

In picture

Step-by-step explanation:

Hope I answered it correctly.

Please give me brainliest if it help you, thanks!

Answer:

2300 mm^2

Step-by-step explanation:

Answer:

1 centimeter

Step-by-step explanation:

nope

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {21}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]3 \: ( \: x + 2 \: )[/tex]

Plugging in the value [tex]x = 5[/tex] in the above expression, we have

[tex] = 3\:( \: 5 + 2 \: )[/tex]

[tex] = 3 \: ( \: 7 \: )[/tex]

[tex] = 3 \times 7[/tex]

[tex] = 21[/tex]

[tex]\sf\pink{PEMDAS\: rule.}[/tex]

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35☂}}}}}[/tex]

Answer:

D. x + 10 pence

Step-by-step explanation:

Since the pen costs 10 pence more than the ruler, we need to add 10 to x.

Answer:

Rate = 10.4%

Step-by-step explanation:

Given :

P = $30000

A = $42520

Interest earned = 42520 - 30000 = $12520

Time = 4years

Find R

     [tex]Interest = \frac{PRT}{100}[/tex]

        [tex]12520 = \frac{30000 \times R \times 4}{100}\\\\12520 = 300 \times 4 \times R\\\\12520 = 1200 \times R\\\\R = \frac{12520}{1200}\\\\R = 10.43 \%[/tex]

Round to 1 decimal place, Rate = 10.4%

..........................................................................................................................................................................................................................................................................................................................................................................................................................................................

Step-by-step explanation:

(-) + (-) = (+)

=........ +1

Answer:

-1

Step-by-step explanation:

The area of the shaded region is (area of the circle) - (area of the square) - (area of the triangle)

Option A is the correct answer

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

The shaded region consists of the area inside the circle but outside the square, as well as the area inside the equilateral triangle but outside the square.

Now,

The area of the circle is πr²

Since the square is inscribed in the circle, the diameter of the circle is equal to the diagonal of the square.

Let's say the side length of the square is s.

By the Pythagorean theorem,

s² + s² = (diameter)²

2s² = (2r)²

s² = r²

The area of the square is s² = r².

The area of an equilateral triangle with side length s is √(3)/4 x s².

Since the side length of the square is equal to the height of the equilateral triangle, the side length of the equilateral triangle is also equal to s.

The area of the shaded region.

= (area of the circle) - (area of the square) - (area of the triangle)

Thus,

The area of the shaded region is (area of the circle) - (area of the square) - (area of the triangle)

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ7

Answer:

A=36

B= 2.5

Step-by-step explanation:

If you need 1 cup of sparkling water per 6 cups of apple juice and you use 6 cups of sparking water you do 6x6=36

15 divided by 6 = 2.5

Answer:

A - 18. B - 5

Step-by-step explanation:

So, the best thing for us to do first is find the ration between apple juice and sparkling water.

Then we can answer the questions once we know the ratio.

We know that for every 6 apple juice, we need 2 sparkling water.

This is a 6 : 2 ratio.

However, we can simplfy this further by dividing the 6 and 2 by using a number that goes into both values, such as 2:

6/2 : 2/2

=

3 : 1

So this is our ratio.

Now, the first questino asks how many apple juice is needed for 6 cups of sparkling water?

We know 3 apple juce is needed for 1 sparkling water, so to find whats needed for 6, lets multiply the 3 by 6:

3*6

=

18

So we need 18 apple juice for 6 sparkling water.

Next we need to find how much sparkling water is needed for 15 cups of apple juice.

We know that for every 3 apple juice we need 1 sparkling water.

We gace 15 apple juice.

To find how much sparkling water we need, lets divide the amount of apple juice by the ratio of apple juice. This will get us how many times more sparkling water we need:

15/3

=

5

Now that we know how many times more sparkling water we need, lets multiply the sparkling water by this:

5*1

=

5

So we need 5 sparkling water for every 15 cups of apple jiuce.

Hope this helps!

Answer:

288 cubic feet

Step-by-step explanation:

add the 3 blocks.

block 1: 12*6*2=12*12=144

block 2: (12-4)*2*6=8*2*6=8*12=96

block 3: (12-4-4)*6*2=4*12=48

add them up:

144+96+48

288 cubic feet

with help of calculator

Answer:

EQUATION: X - 12 = 7X. SOLUTION: X = - 2.

Step-by-step explanation:

First, we do not know the number. When the number is unknown, it is a variable. I chose the variable, "X."

12 less than signals that we subtract 12. So that would be X - 12.

A product of 7 AND that number means we multiply 7 by X. That can be notated as 7X.

12 less than X is EQUAL to the product of 7 and X. So X - 12 = 7X.

To find the solution, we want to know the value of X. Move X to one side of the equation.

X - 12 = 7X

-X           -X

_________

-12     =   6X

Divide both sides by 6 to get X by itself.

X = - 2.

Answer:

Width = 3 m

Step-by-step explanation:

Formula for perimeter:

P = l + w + l + w

Plug in what we know:

14 = 4 + w + 4 + w

Isolate variable w (width):

14 = 8 + 2w

6 = 2w

3 = w

Check your work:

14 = 4 + 3 + 4 + 3

14 = 7 + 7

14 = 14

Correct!

(Don't forget to add units in your answer!)

Answer: 5 Units

Step-by-step explanation:

Answer: 15

Step-by-step explanation: 5+9+11+12+13+14+17=81

Make an equation based on this and solve for the variable (x)

81+x/8=12

12*8=96

81+x=96

96-81=15

x=15

Answer:

X=2, y=-1

Step-by-step explanation:

-4x +8y=-16 equation 1

4x +3y=5 equation 2

     11y=-11 add two equations to eliminate x

y=-1

solve for x by inputting y value into either equation

4x+3y=5

4x+3(-1)=5

4x-3=5

4x=8

x=2

Given:

Two brothers are sharing a certain sum of money in the ratio [tex]\dfrac{2}{3}:\dfrac{3}{5}[/tex].

The largest share was Gh¢500.00.

To find:

The total amount shared between them.

Solution:

It is given that, two brothers are sharing a certain sum of money in the ratio [tex]\dfrac{2}{3}:\dfrac{3}{5}[/tex].

First we need to make the denominators common.

[tex]Ratio=\dfrac{2\times 5}{3\times 5}:\dfrac{3\times 3}{5\times 3}[/tex]

[tex]Ratio=\dfrac{10}{15}:\dfrac{9}{15}[/tex]

[tex]Ratio=10:9[/tex]

So, the two brothers are sharing a certain sum of money in the ratio 10:9.

Let the shares of two brothers are 10x and 9x respectively. So, the larger share is 10x.

It is given that the largest share was Gh¢500.00.

[tex]10x=500[/tex]

[tex]x=\dfrac{500}{10}[/tex]

[tex]x=50[/tex]

Now, the total amount shared between them is:

[tex]Total=10x+9x[/tex]

[tex]Total=19x[/tex]

[tex]Total=19(50)[/tex]

[tex]Total=950[/tex]

Therefore, the total amount shared between them is Gh¢950.00.

Answer:

x = 25

Step-by-step explanation:

Correct question

In a right triangle Sin (40-x)=cos(3x) what is the value of x

Since Sin theta = Cos(90-theta)

Sin (40-x) = Sin(90-3x)

40 - x = 90 - 3x

-x+3x = 90 - 40

2x = 50

x = 25

Hence the value of x is 25

Answer:

length=(3x-2)

Step-by-step explanation:

area of rectangle=length*breadth

3x^2 + 7x - 6=length * (x+3)

3x^2 +(9-2)x -6=length *(x+3)

3x^2+9x-2x-6=length*(x+3)

3x(x+3)-2(x+3)=length*(x+3)

(x+3)(3x-2)=length*(x+3)

(x+3)(3x-2)/(x+3)=length

(3x-2)=length

Answer:

(3x - 2)

Step-by-step explanation:

Given that the area A = length × width

A = 3x² + 7x - 6 ← factor to obtain length

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 3 × - 6 = - 18 and sum = + 7

The factors are + 9 and - 2

Use these factors to split the x- term

3x² + 9x - 2x - 6 ( factor the first/second and third/fourth terms )

= 3x(x + 3) - 2(x + 3) ← factor out (x + 3) from each term

= (x + 3)(3x - 2)

We know (x + 3) is the width , then (3x - 2) is the length

Answer:

Step-by-step explanation:

Area of rectangle:

Given:

The area is:

A = (2x - 7)(3x² + 4x) =

   2x(3x² + 4x) - 7(3x² + 4x) =

   6x³ + 8x² - 21x² - 28x =

   6x³ - 13x² - 28x

Answer:

Area of rectangle = 6 x ³ - 13 x ² + 28

step by step explanation

Given That :-

To Find :-

Area of rectangle = Length × Width

Using Formula

Area of rectangle = Length × Width

substitute the values.

Area of rectangle = ( 2 x - 7 ) × ( 3 x ² + 4 )

= 2 x ( 3 x ² + 4 ) - 7 ( 3 x ² + 4 )

= 6 x ³ + 8 x - 21 x ² + 28

= 6 x ³ - 13 x ² + 28

9514 1404 393

Answer:

  (2ac+1)/(abc+2c+1)

Step-by-step explanation:

It helps to understand the factoring of the numbers involved.

  63 = 3²·7

  140 = 2²·5·7

The "change of base" formula is also useful.

  [tex]\log_b{a}=\dfrac{\log{a}}{\log{b}}[/tex]

__

Using this, we can write ...

  a = log(3)/log(2)   ⇒   log(3) = a·log(2)

  b = log(5)/log(3)   ⇒   log(5) = b·log(3) = ab·log(2)

  c = log(2)/log(7)   ⇒   log(2) = c·log(7)

This lets us write everything in terms of log(7):

  log(2) = c·log(7)

  log(3) = ac·log(7)

  log(5) = abc·log(7)

__

The desired logarithm is ...

  [tex]\log_{140}{}63=\dfrac{\log{63}}{\log{140}}=\dfrac{2\log{(3)}+\log{(7)}}{2\log{(2)}+\log{(5)}+\log{(7)}}\\\\=\dfrac{2ac\cdot\log{(7)}+\log{(7)}}{2c\cdot\log{(7)}+abc\cdot\log{(7)}+\log{(7)}}\\\\\boxed{\log_{140}{63}=\dfrac{2ac+1}{abc+2c+1}}[/tex]

_____

The attachment is a numerical check of this result.

Answer:

What is your question for probabilities?

Answer:

11b^3+14b^2+b+9

---------------------------

         b2

Step-by-step explanation:

Answer:

105mm

Step-by-step explanation:

To find the rainfall during the month of April simply multiply the number of days in April times the average daily rainfall

Number of days in April: 30

Average daily rainfall: 3.5mm

Rainfall during the month = 30 * 3.5 = 105mm

Answer:200

Step-by-step explanation:

Multiply 35 by 5 to get 175. You do this because you are doing the opposite to find a larger amount. Then add 25 to get 200