solve similar triangles (advanced)

Answer:

B and D

Step-by-step explanation:

B -> -1.4z multipled by 40 is - 56z, 0.7 multipled by 40 is 28, thus giving us - 56z + 28.

D -> When we expand (8z - 4)(-7) we will get -56z + 28 as 8z multipled by - 7 is - 56z (remember positive times negative equals negative) and - 4 multipled by - 7 is 28 (negative times negative equals positive)

Answer:

12

Step-by-step explanation:

Set up equation like this with x being the number

X / (3/5) = 20

X * (5/3) = 20

so multiply both sides by 3/5 so

X = 20 (3/5)

therefore,

X = 12

we can check to make sure this is right by plugging it back in:

12 / (3/5) = 20 so it is true

Answer:

Step-by-step explanation:

Given:

Find the total amount in 1 year:

[tex]I = P(1 + r/n)^{nt}-P[/tex][tex]I = 3281*(1 + 0.08/1)^{1*1} -3281 = 3281*1.08 - 3281= 3281*0.08=262.48[/tex]

Answer:

B

Step-by-step explanation:

Answer:

3.6? I don't really know

Answer:

∆L = 51°

∆Y = 28°

∆B = 101°

∆U = 51°

UG = 10.66666

BG = 4x

Answer:

24°

Step-by-step explanation:

(4y-4)+(180-52)+3y = 180°

4y-4+128+3y = 180

7y+124 = 180

7y = 56

y = 8

SO ∠x = 3y

∠x = 3(8)

∠x = 24

Answer:

24

Step-by-step explanation:

to find the measure of angle X we must first find y

An exterior angle of a triangle is equal to the sum of the opposite interior angle

angle wyz is an exterior angle and the opposite interior angles are w and x

this means that angle wyz = angle w + angle X

if angle wyz = 52 , angle X = 3y and angle w = 4y-4 then 52 = 3y + 4y - 4

note that we just created an equation that we can use to solve for y

we now solve for y using the equation we just created

52 = 3y + 4y - 4

combine like terms

52 = 7y - 4

add 4 to both sides

56 = 7y

divide both sides by 7

we're left with y = 8

Now to find the measure of angle X we simply plug in the value of y into 3y because angle X = 3y

angle X = 3y

y = 8

angle X = 3(8)

multiply 3 and 8 to get 24

angle X = 24

and we are done!

Answer:

  4x^2 +9xy +6y^2

Step-by-step explanation:

Combine like terms. I find it useful to factor out the variable part of the expression so I can see what coefficients are being combined.

  7x^2+5xy-3y^2 - (2x^2+3xy-5y^2 + x^2-7xy-4y^2)

  = (7 -2 -1)x^2 +(5 -3+7)xy +(-3 +5 +4)y^2

  = 4x^2 +9xy +6y^2

Answer:

$15.86

Step-by-step explanation:

Make 2 3/5 improper fraction (5 times 2 and add 3 equals 13)

13/5 times 6.1 ( or 6 1/10 or 61/10)

equals 793/50

divide

answer is 15.86

Answer:

they took off 35$

Step-by-step explanation:

hope this helps

Answer:

$35

Step-by-step explanation:

10 divided by 350 = $35

Answer:

860.3

Step-by-step explanation:

43·π·5.93≈860.28954in³

860.28954 = 860.3

The volume of the sphere is V = 859.9 inches³

A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.

The Surface Area of a Sphere = 4πr²

The Volume of a Sphere = ( 4/3 ) πr³

where r is the radius of the sphere

Given data ,

Let the radius of the sphere be r = 5.9 inches

Now , Volume of a Sphere = ( 4/3 ) πr³

On simplifying , we get

V = ( 4/3 ) ( 3.14 ) ( 5.9 )³

V = 859.853 inches³

Hence , the sphere has volume of 859.9 inches³

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Answer: 1/5?

Step-by-step explanation:

Answer:

1+1=3, See explenation

Step-by-step explanation:

1+1=2 but thats basically 2.1 because whole numbers are boring, but 2.1 is basically 2.2 because we want it as an even number, but 2.2 is basically 2.3 because 2.3 is the luckiest number, which is basically 2.5 if you think about it because 2.3 looks like 2/3 and two thirds can't be a whole (which is why we say 3/3 instead of 2/3) and 2.5 rounded up is 3. So thats how 1+1=3

In the given equation, as the value of y increase, the value of x also

increases.

Reasons:

A direct variation is a relationship that exists between two variables. It is

also known as a direct proportion which can be expressed as; y = k·x

Where k is a number

The given equation is 4·y = 16·x

Dividing both sides by 4 gives;

[tex]\displaystyle \frac{4 \cdot y}{4} = \frac{16 \cdot x}{4} = \frac{4 \times 4 \cdot x}{4}[/tex]

Which gives;

y = 4·x

Comparing the above equation with the equation for a direct variation gives;

y = 4·x

y = k·x

Therefore;

k = 4

The equation, y = 4·x, and therefore, the equation from which it is derived, 4·y = 16·x, is a direct variation.

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Answer:

she clicks the file

Step-by-step explanation:

Answer:

2.78

Step-by-step explanation:

you could have used a calculator

Answer:

23.2 times 0.14 is 3.248

The following functions could represent the graph below then the correct option is B; y =  (x - a)^2 (x - b)^4.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

we have given that a and b are real numbers different than zero.

From the graph, we can see that the line touches the x-axis in two values.

Now, if we would have an equation such as:

y = x(x - a)^3 (x - b)^3

then when x = 0

y = 0(0-a)^3 (0-b)^3

y = 0

But in the graph, we can see that when x = 0, the value of y is different than zero,

(For example, if x > a and x < b we would have a negative value for y)

Then the correct option is B ;y =  (x - a)^2 (x - b)^4

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The values of k that will cause the system of equations to have no solution is; k = 7 and 21

We are given the simultaneous equations;

6x - 4y = 14

3x - 2y = k

Now, for both equations not to have a solution it means that x and y can't be made to be subjects.

Now, by inspection see see that the left hand side of the second equation when multiplied by 2 gives the left hand side of the first equation.

By implication, for both equations not to have a solution, k must also be multiplied by 2 to give 14.

Thus;

2k = 14

k = 14/2

k = 7

Also, since 21 is 1.5 multiplied by 14, it means that when we make 21 to be k, there will also be no solution.

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Answer:

-2, 5, 10, 21

A, B, D, E

Answer:

The answer is C

Step-by-step explanation:

25 + 57 + 34 = 116, so at least 116, not 116.

The angle is close to 90+45 = 135

assuming with this, the asnwer is C

Answer:

B. 173

Step-by-step explanation:

just add them all up! for DFE, BFC has the same sign, which i assume means it is the same thing

Answer:

38 degrees

Step-by-step explanation:

all triangles length added up are 180 degrees.

add 52 and 90 to get 142. Subtract to get 38 degrees.

Answer:

The ladder reaches [tex]15ft[/tex]

Step-by-step explanation:

In the first case we have

[tex]cos\theta =\frac{12}{15}[/tex]

In second case let the height be [tex]x[/tex]

We have

[tex]sin\theta =\frac{x}{25}[/tex]

We know that

[tex]cos\theta =\frac{12}{15}\\\\sin\theta =\sqrt{1-\frac{12^{2}}{15^{2}} } \\\\sin\theta =\sqrt{\frac{81}{225} } \\\\sin\theta =\frac{9}{15} }[/tex]

Substituting

[tex]\frac{9}{15} =\frac{x}{25}\\\\x=\frac{25\times9}{15} =15[/tex]

The ladder reaches [tex]15ft[/tex]

Answer:

9.50

Step-by-step explanation:

9.46 to the nearest tenth is 9.50,

wherever there is a th after the value name it is the right hand side of the decimal point that you need to round to.

Hope this helps!

Answer 9.5

Step-by-step explanation: i think-

Based on the information given, the cost of each candy cane will be $3.00.

This is an incomplete information as you didn't provide the cost of the box. Let's assume that the cost of the box is $36.

From the information given, we are told that each box of candy canes has 12 candy canes. Therefore, the cost of each candy cane will be:

= $36 / 12

= $3.

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Adam receives 13.762 euros

One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The other operations are multiplication, addition, and subtraction.

Given

Adam normally earns 8.32 an hour.

1. 832 * 6 = 10.992 for 6 hours

Adam will be payed = 8.32 *1/3 = 2.77

Total payment = 10.992 + 2.77 = 13.762

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Answer:

Step-by-step explanation:

Given sequence:

The first differences:

The second differences:

If the sequence is T(n) = an² + bn + c, we have:

Using the first and second differences work out  the value of zero term:

This gives us c = - 4

Now we have:

The first term is T(1) = -1, substitute n = 1 and find the value of b:

The nth term is:

Now lets find if -189 belongs to this sequence:

The left side is positive and the right side is negative so the answer is also negative