Analyze the diagram below and complete the instructions that follow.

Answer:

A

Step-by-step explanation:

Given

[tex]\frac{x}{6}[/tex] = [tex]\frac{36}{24}[/tex] ( cross- multiply )

24x = 216 ( divide both sides by 24 )

x = 9 → A

Answer:

just click in the box it literally says

Answer:

b= (3z-6)/(1+3z)

Step-by-step explanation:

z=(-b+6)/(3b-3)

cross multiple

z(3b-3)=-b+6

open the bracket

3bz-3z=-b+6

make -b the subject of the formula

-b = 3bz-3z-6

-b - 3bz = -3z - 6

factorize the left hand side...

-b(1+3z) = -3z-6

make -b the subject of the formula again

-b = -(3z-6)/(1+3z)

cancel the minus at both sides...

b = (3z-6)/(1+3z)

Answer:

b = [tex]\frac{3z + 6}{3z+1}[/tex]

Step-by-step explanation:

Simply solve for "b" , so the formula will be

b = .....

z = [tex]\frac{-b+6}{3b-3}[/tex] ( b > 0 )

z(3b - 3) = - b + 6

3zb - 3z = - b + 6

3zb + b = 3z + 6

b( 3z + 1 ) = 3z + 6

b =  [tex]\frac{3z + 6}{3z+1}[/tex]

Answer:

y= 5x

Step-by-step explanation:

since each x number is 1/5 of the y, it's 5 times x = y

Answer:

brainllest if right

90

Step-by-step explanation:

Answer:

41/30

Step-by-step explanation:

4/5 ---> 24/30

1/10 ---> 3/30

2/3 ---> 20/30

(24/30 - 3/30) + 20/30 =

21/30 + 20/30 =

41/30

Since your question doesn't specify what form you need your answer in, I’ll answer in slope intercept form.

Slope intercept form looks like this: y = mx + b.

m represents slope, b represents y intercept. we already have the slope, 2. To find the y intercept, we can plug in the given values for x and y and solve for x.

y = 2x + b

5 = 2(8) + b

5 = 16 + b

- 11 = b

so, the y intercept is - 11. we can plug this into your equation.

y = 2x - 11

There you go! this is your final answer.

Answer:

Answer:

87 minutes

Step-by-step explanation:

Let the total number of minutes = m

Our equation is given as:

$20.21 = $14.99 + 0.06m

20.21 = 14.99 + 0.06m

Collect like terms

0.06m= 20.21 - 14.99

0.06m = 5.22

m = 5.22/0.06

m = 87

Therefore, the total number rod minutes used is 87 minutes

Answer:

x = 13°

Step-by-step explanation:

Since the lines are parallel , then

the lower left vertex of the triangle = 85° ( alternate angles )

the lower right vertex of the triangle = 180° - 98° = 82° ( adjacent angles )

Then

x = 180° - (82 + 85)° = 180° - 167° = 13° ( angle sum of triangle )

Given:

A figure in which a transversal line intersect the two parallel lines.

To find:

The missing value for the equation [tex]m\angle \_+m\angle BPD=180^\circ[/tex]

Solution:

In the given figure, the two parallel lines are line ED and line AB, and CD is the transversal line.

Angle BPC and angle BPD lie on a straight line CD. So,

[tex]m\angle BPC+m\angle BPD=180^\circ[/tex]          (Supplementary angles)

Angle APD and angle BPD lie on a straight line AB. So,

[tex]m\angle APD+m\angle BPD=180^\circ[/tex]          (Supplementary angles)

Therefore, the required complete equations are [tex]m\angle BPC+m\angle BPD=180^\circ[/tex] and [tex]m\angle APD+m\angle BPD=180^\circ[/tex].

Answer:

I assume that this is a quadratic equation, something like:

y = -47*x^2 - 24x + (-36)

we can rewrite it as:

y = -47x^2 - 24x - 36

Ok, this is a quadratic equation and we want to find the maximum value.

First, you can notice that the leading coefficient is negative.

This means that the arms of the graph will open downwards.

Then we can conclude that the vertex of the equation is the "higher" point, thus the maximum value will be at the vertex.

Remember that for a general function

y = a*x^2 + b*x + c

the vertex is at:

x = -b/2a

So, in our case:

y = -47x^2 - 24x - 36

The vertex will be at:

x = -(-24)/(2*-47) = -12/47

So we just need to evaluate the function in this to find the maximum value.

Remember that "evaluating" the function in x = -12/47 means that we need to change al the "x" by the number (-12/47)

y = -47*(-12/47)^2 - 24*(-12/47) - 36

y = -32.94

That is the maximum value of the function, -32.94

Answer:

[tex]10 \frac{2}{5}[/tex]

Step-by-step explanation:

Using BODMAS

[tex]6\frac{1}{2} \times (\frac{8}{9} \div\frac{13}{18}) + ( \frac{3}{4} )\ of \ 3\frac{1}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ solving \ expression \ inside \ bracket \ ]\\\\\frac{13}{2} \times (\frac{8}{9} \times \frac{18}{13}) + (\frac{3}{4}) \ of \ \frac{16}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ \frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} \ ]\\\\\frac{13}{2} \times (\frac{16}{13}) + (\frac{3}{4}) \ of \frac{16}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ solving \ of \ ] \\\\[/tex]

[tex]\frac{13}{2} \times (\frac{16}{13} ) + (\frac{3}{4} \times \frac{16}{5} )\\\\\frac{13}{2} \times (\frac{16}{13} ) + \frac{12}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\ solving \ \times \ expressions \ ] \\\\(\frac{13}{2} \times \frac{16}{13}) + \frac{12}{5}\\\\8 + \frac{12}{5}\\\\\frac{40 + 12}{5}\\\\\frac{52}{5}\\\\10\frac{2}{5}[/tex]

Answer:

[tex]\sin(105) = \frac{\sqrt 2 + \sqrt 6}{4}[/tex]

Step-by-step explanation:

Given

[tex]\sin(105^o)[/tex]

Required

Solve

Using sine rule, we have:

[tex]\sin(A + B) = \sin(A)\cos(B) + \sin(B)\cos(A)[/tex]

This gives:

[tex]\sin(105^o) = \sin(60 + 45)[/tex]

So, we have:

[tex]\sin(60 + 45) = \sin(60)\cos(45) + \sin(45)\cos(60)[/tex]

In radical forms, we have:

[tex]\sin(60 + 45) = \frac{\sqrt 3}{2} * \frac{\sqrt 2}{2} + \frac{\sqrt 2}{2} * \frac{1}{2}[/tex]

[tex]\sin(60 + 45) = \frac{\sqrt 6}{4} + \frac{\sqrt 2}{4}[/tex]

Take LCM

[tex]\sin(60 + 45) = \frac{\sqrt 6 + \sqrt 2}{4}[/tex]

Rewrite as:

[tex]\sin(60 + 45) = \frac{\sqrt 2 + \sqrt 6}{4}[/tex]

Hence:

[tex]\sin(105) = \frac{\sqrt 2 + \sqrt 6}{4}[/tex]

Answer:

C) divide the numerator by the denominator

Step-by-step explanation:

Example

6/3=2/1

Answer:

1.2

Step-by-step explanation:

We want to find the y value when x = -6

When x = -6, y = 1.2

Answer:

1. X-intercepts

2. Midpoint

3. Vertex

4. Y-Intercept

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

90-55=35 degrees ;)

Answer:

D

Step-by-step explanation:

as we know that all the angles in a rectangle are 90° so the,

you will get 90° - 55° = 35°

option D is the right answer.

Answer:

x = 22.5

Step-by-step explanation:

∠2 and ∠7 are known as alternate exterior angles. This makes them equal to each other.

100 = 4x + 10

90 = 4x

22.5 = x

Answer:

384 ft, this is the required answer

Answer:

area of shaded part = 512 ft^2

Step-by-step explanation:

find area of rectangle

length = 32 +8

=40 ft

breadth = 8 + 8

=16 ft

area of rectangle = l*b

=40*16 ft

=640 ft

since there are two square .we should find the area of two sqaure.

length = 8 ft

area of square = l^2

=8^2

=64 ft^2

area of another square = l^2

=8^2

=64 ft^2

area of shaded part = area of rectangle - (area of square + area of square)

=640 -(64 + 64) ft^2

=640 - 128 ft^2

=512 ft^2

Answer:

The length if the garden is 21 meters.

The width of the garden is 5.25 meters.

If the scale changes to 1 cm : 9 meters, the new length of the garden is 63 meters and the new width of the garden is 15.75 meters.

The new length of the garden is 3 times as long as the original length of the garden.

Answer:

D/4 - 21

C/3 - 5.25

D/4 - 63

C/3 - 15.75

B/2 - 3

Step-by-step explanation:

Answer: it should just be 6.57

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

those alternate angles are equal to each other

5x+4=59

5x=55

x=11

Answer:

(5x + 4) = 59

5x = 59 - 4

5x = 55

x = 55/5

x = 11

Answer:

x = 3

Step-by-step explanation:

7x-8=13

Add 8 to each side

7x-8+8=13+8

7x = 21

Divide each side by 7

7x/7 = 21/7

x = 3

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Answer:

so easy q.

bc u r in 7th lol

it's 60

for both

Answer:

x = 28/97

y = 532/

Step-by-step explanation:

x + 5y = 20x + 3y

=> 5y - 3y = 20x - x

=> 2y = 19x

=> y = (19x)/2

x + 5y = 14

=> x + 5((19x)/2) = 14

=> x + (95x)/2 = 14

=> (2x + 95x)/2 = 14

=> 97x = 14(2)

=> 97x = 28

=> x = 28/97

=>y = (19x)/2 = (19(28))/(97(2)) = 532/194

Answer:

an irrational number

Step-by-step explanation:

Answer:

Irrational numbers

Step-by-step explanation:

First, to solve this question, we need to know what irrational numbers are. Irrational numbers are numbers that cannot be expressed as a simple fraction. A nonterminating decimal cannot be expressed as a simple fraction, therefore making it an irrational number.

Hope this helps!

Answer:

Step-by-step explanation:

Compound ratio is the multiplication of the ratios:

Multiply to get:

Given ratios,

2/15 : 3/7 and 5/8 : 14/27

Then to find the compound ratio,

We have to multiply,

→ (2/15 × 5/8) : (3/7 × 14/27)

→ 10/120 : 42/189

Now simplify the ratio,

→ 1/12 : 2/9

Thus, required ratio is 1/12 : 2/9.

Answer:

6.25

Step-by-step explanation:

3x+25=7x

3x-7x=-25

-4x=-25

x=6.25