A) by AA similarity
B) by sas similarity
C)Not enough information
D) by sss similarity




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Please don't answer randomly because if you answer randomly you are gonna lose points

The equivalent equations of [tex]2x+ 4y = 14[/tex] and [tex]4x + y = 20[/tex]

are [tex]2x+ 4y = 14[/tex] and[tex]-16x -4y = -80[/tex]

The system of equations is given as:

[tex]2x+ 4y = 14[/tex]

[tex]4x + y = 20[/tex]

Multiply both sides of the equations by -4.

So, we have:

[tex]-4 \times (4x + y) = -4 \times 20[/tex]

Distribute the expression

[tex]-4 \times 4x -4 \times y = -4 \times 20[/tex]

Evaluate all products

[tex]-16x -4y = -80[/tex]

So, we have the following system of equations

[tex]2x+ 4y = 14[/tex]

[tex]-16x -4y = -80[/tex]

Hence, the equivalent equations are [tex]2x+ 4y = 14[/tex] and[tex]-16x -4y = -80[/tex]

Read more about equivalent equations at:

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Answer:

1/805

Step-by-step explanation:

4/3220 = 1/805 = 0.00124223....

The total number of coins in Lucy's coin collection is equal to 80 coins.

Given the following data:

To the total number of coins in Lucy's coin collection:

Since the percentage of the quarters in Lucy's coin collection is equal to fifteen percent (15%) of the total number of coins. Thus, we would multiply the total number of coins by 15% and equate it to 12 quarters.

Total number of coins:

[tex]\frac{15}{100} \times C = 12\\\\15C=12 \times 100\\\\15C =1200\\\\C=\frac{1200}{15}[/tex]

C = 80 coins.

Read more on word problem here: https://brainly.com/question/24604067

Answer:

80 coins

Step-by-step explanation:

Let the total number of coins be C.

Given the following data:

Percentage of quarters = 15%

Total number of quarters = 12 quarters

To the total number of coins in Lucy's coin collection:

Since the percentage of the quarters in Lucy's coin collection is equal to fifteen percent (15%) of the total number of coins. Thus, we would multiply the total number of coins by 15% and equate it to 12 quarters.

Total number of coins:

C = 80 coins.

So the total number of coins in Lucy's coin collection is 80 coins.

Answer:

mx+b

Step-by-step explanation:

One way to express linear function rules is called slope-intercept form. Sometimes, f(x)=mx+b is used. In either case, m and b describe the general characteristics of the line. m indicates the slope, and b indicates the y-intercept.

The required function of the line would be y = 2x + 1 which is shown in the given graph.

The slope-intercept form is one rule to represent linear function rules. f(x)=mx+b is sometimes used. In any scenario, m and b describe the line's overall features. The slope is denoted by m, while the y-intercept is denoted by b.

According to the given figure,

We clearly see that the coordinates of the y-intercept would be (0, 1).

The value of the x-coordinate is 1 when y-coordinate is 3.

Here the line passes through points (0, 1) and (1, 3).

Let the required linear function would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x₂ -x]

x₁ = 0, y₁ = 1

x₂ = 1, y₂ = 3

⇒ y - y₂ = (y₂ - y₁)/(x₂ -x₁ )[x -x₂]

⇒ y - 3 = (3 - 1)/(1 - 0 )[x -1]

⇒ y - 3 = (2)[x -1]

⇒ y - 3 = 2x - 2

⇒ y = 2x - 2 + 3

⇒ y = 2x + 1

Therefore, the required function of the line would be y = 2x + 1 which is shown in the given graph.

Learn more about the Linear function here:

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Answer:

last one

Step-by-step explanation:

point slope form:

[tex](y - y1 )= m(x - x1)[/tex]

just plug in the numbers and you will get the answer:

[tex](y - 4) = 3(x + 1)[/tex]

Answer:

D

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer

Area of the rug is 64 in^2

Answer:

676 cm²

Step-by-step explanation:

A square has 4 congruent sides , then

104 ÷ 4 = 26 cm ← length of side of square s

The area (A) of a square is calculated as

A = s² = 26² = 676 cm²

Answer:

(0,5)x3=(15,5)

Step-by-step explanation:

Answer:

Angle B = 48.19

#Rounded off to the nearest hundredth after the decimal point

Step-by-step explanation:

As Seen in the diagram is a right angled triangle and by using the infamous laws of Trigonometry, we can use the Trigonometric ratios in an indirect sense to find our answer...

Now to solve this question we need to first see what values are given to us! So the values given to us are

Hypotenuse= 3

Adjacent= 2

C= 90° (since it is the angle opposite to the hypotenuse and if observed with every right angled triangle, it will always be the case)

B=?

A=?

Questions objective= find B

I shall provide a labelled version of right angled triangle which shall aid where is the adjacent, opposite or the Hypotenuse below

Now coming back to the question,

The Opposite side of the angle we are trying to find is the adjacent and there are many Trigonometric ratios but for the sake of the question, we will need to use the one affiliated with Cosine

the way we shall interpret it is quite simple

Cos ∅°=  [tex]\frac{Adjacent}{Hypotenuse}[/tex]

Now by interpreting the values from the diagram

Cos A°= [tex]\frac{2}{3}[/tex]

Now to find the actual value of a number that has an operation that disrupts the actual value, we only need to use the inverse of the operation on it to find the actual value

so by this statement we need to put an inverse of Cos

∴ A°= [tex]Cos^{-1}[/tex]([tex]\frac{2}{3}[/tex])

A°= 48.1896851

Now we need to subtract the value of 180° - (Angle A + Angle C)

by doing so we will get the value of 41.82 (rounded off to the nearest hundredth)

hence B= 41.82 °

We can add up all the values and it will be approximately be equal to 180 (keep in mind that some of these values of triangle are irrational due to which they never end)

Please do double-check it as I could've made a mistake too

Till then a Thank You, aa 5 Stars or even better, A BRAINIEST will make my day

Take care of yourself and I guess the answers complete :)

Answer:

nth term = 4 + n^2

Step-by-step explanation:

Sorry if the answer is long but I'm hoping my explanation can help.

In order to understand the issue, we should try to find the pattern between the terms given.

The terms given were 5, 8, 13, 20 and 29.

Between the first term and second term, the difference is 3.

Between the second and third term, the difference is 5.

The pattern goes on and we find out that the difference between the (n-1)th term and the nth term is

2n - 1.

Hence, we can determine the pattern of the numbers is

nth term = (n-1) term + 2n - 1

We can use this to find term 0 (before term 1) by plugging in the values for term 1

5 = 0th term + 2 (1) - 1

5 = 0th term + 1

Hence the 0th term = 4

If we expand on the summation,

We can find the nth term

nth term = 4 + 2 (1) - 1 + 2(2) - 1 + ... + 2(n-1) - 1 + 2n - 1

As we can see, the number 1 has been subtracted n times (excluding the -1 in 2(n-1)). Hence, we can split combine all of the subtracted ones into -n.

We can rewrite it as

nth term = 4 + 2 (1) + 2(2) + ... + 2(n-1) + 2n - n

Now, we will move 4 and n to one side.

nth term = 4 - n + 2 (1) + 2(2) + ... + 2(n-1) + 2n

We can factorize 2 out from every term to the right of -n. This would give out

nth term = 4 - n + 2 (1 + 2 + ... + (n-1) + n)

The term (1 + 2 + ... + (n-1) + n) can actually be rewritten by using the triangular formula.

The triangular formula is stated such that

Tn = (n*(n+1))/2

This heavily simplifies the equation into

nth term = 4 - n + 2 [(n*(n+1))/2]

This equation becomes

nth term = 4 - n + n^2 + n.

Now, we can finally simplify into the final equation

nth term = 4 + n^2

Answer:

It is 2.5 hours.

Step-by-step explanation:

Answer:

Step-by-step explanation:

A regular polygon has 15 sides find the size of each of its interior angles

                                              Pentadecagon

The formula for calculating the sum of interior angles is ( n − 2 ) × 180° where is the number of sides. All the interior angles in a regular polygon are equal.

(15 - 2) × 180 =

13 × 180 =

2340

2340 : 15 =

156° is your answer

Answer:

The coordinates of J are missing.  Plus, I don't see options for the conclusions.  I made an imaginary point J, which you could correct to form the proper triangle.

Step-by-step explanation:

See the attachment.  Plot all the vertices, including a corrected point J and draw the resulting triangle.  It might be that AJKL is a slightly smaller, shifted version of AGHI.  Enter the correct coordinates and then compare.

Answer:

729

Step-by-step explanation:

Multiply and cross cancel

Answer:

Step-by-step explanation:

3³ × (12-2) ÷ 2 =

27 × 10 ÷ 2 =

270 ÷ 2 =

135

Answer:

2430kg

Step-by-step explanation:

3 tonnes is 3000kg so 3 tonnes 335kg is 3335kg. Take 3335 - 905 you get 2430

Step-by-step explanation:

x = number of trucks with 16 tonnes capacity

y = number of trucks with 6 tonnes capacity

x + y = 11

16x + 6y = 126

the first equation gives us

x = -y + 11

and we use that in equation 2 :

16(-y + 11) + 6y = 126

-16y + 176 + 6y = 126

-10y = -50

10y = 50

y = 5

x = -y + 11 = -5 + 11 = 6

the number of 16 tonne trucks was 6.

Answer:

Step-by-step explanation:

The letters are easy enough.

y^3 determines that 3 ys are needed. y^2 is taken in by the cubed.

x^4 determines that 4 xs are needed. x^3 is part of x^4 and you don't need any more xs

12 and 42 are the parts that will cause the problem. Factor them both into prime factors

12: 2 * 2 * 3

42: 2 * 3 * 7

You need two 2s.

You need one 3

You need one 7

LCD = 2 *2*3 * 7 = 84

Answer:

x = 2 and x + y = -3

Step-by-step explanation:

With the xy example filled, I could work out that x was 2 by realising that if y was -5, then to get to -10 it'd have to be multiplied by two, and I just added -5 and 2 after working out x for the bottom grid.

Hope this helps and you have a good day!

Left box is two (2) and the bottom box is negative three (-3)...

...You are given y, which is -5. We need to figure out x to fill the other 3

boxes or diamonds. xy is another way of saying x * y, so we know that

x * -5 = -10. We can use division to solve this. -10 / -5 = x, or 2. Now we can

fill in the top and left diamond. All that's left is to add x and y, or 2 and -5

together.

2 + -5 = -3

Top diamond : -10

Left diamond : 2

Bottom diamond : -3

Right diamond : -5

Hopefully this helps.

Answer:the answer is b

Step-by-step explanation:

i took the test

Answer:

x [tex]\leq[/tex] -3

Step-by-step explanation:

Make common denominators

[tex]\frac{2x}{6}[/tex] - [tex]\frac{3x-3}{6}[/tex][tex]\geq[/tex][tex]\frac{6}{6}[/tex]

Use the numerators only

2x - (3x - 3) [tex]\geq[/tex] 6

Distribute

2x - 3x + 3 [tex]\geq[/tex] 6

-x + 3 [tex]\geq[/tex] 6

Subtract 3 from both sides

-x [tex]\geq[/tex] 3

x [tex]\leq[/tex] -3

Answer:

  (d)  9/2

Step-by-step explanation:

The growth factor (multiplicative rate of change) can be found as the ratio of y-values for x-values that differ by 1.

Here, we have ...

  x = 0, y = 1

  x = 1, y = 9/2

These x-values differ by 1. The growth factor is (9/2)/1 = 9/2.

Answer:

about 116.18

Step-by-step explanation:

Circumference is 2PI*radius

So it should equal 37*3.14 which equals about 116.18

Answer:

[tex](5z + 5) \: + \: (7z + 4)[/tex]

[tex]5z + 5 - 7z - 4[/tex]

[tex]5z - 7z + 5 - 4[/tex]

[tex]2z + 1[/tex]

Using an exponential function, it is found that the population of bacteria in the culture after 13 hours is of 1,491,747.

An exponential function, with a doubling time of d, after t hours, is given by:

[tex]A(t) = A(0)(2)^{\frac{t}{d}}[/tex]

In this problem:

Then:

[tex]A(t) = A(0)(2)^{\frac{t}{d}}[/tex]

[tex]A(t) = 74000(2)^{\frac{t}{3}}[/tex]

After 13 hours:

[tex]A(13) = 74000(2)^{\frac{13}{3}} = 1491747[/tex]

The population of bacteria in the culture after 13 hours is of 1,491,747.

To learn more about exponential functions, you can take a look at https://brainly.com/question/25958656

Answer:

-1.1

Step-by-step explanation: