I will give brainiest

Answer:

x=28

Step-by-step explanation:

Hi there!

SSS similarity theorem is a theorem that can determine similar triangles; the criteria for SSS~ is that the corresponding sides of the triangles create proportions which is the same as the ratio of similitude (k)

First, we need to find the ratio of similitude.

We need to assume that the triangles are similar.

15 corresponds with 20 (if you turn both triangles until they're titled the same way, you will see that 15 and 20 are the measures of the same sides on the triangles)

so that means 15/20 must make the ratio of similitude

15/20 is equal to 3/4

therefore k=3/4

as the triangle is already assumed similar, that means that 21/x will also give us a ratio that is equal to 3/4 (ratio of similitude)

therefore, 21/x=k

Since both ratios are equal to k, set 3/4 and 21/x equal to each other. This is possible via a property called transitivity (if a=b and b=c, then a=c)

3/4=21/x

cross multiply

3x=84

divide both sides by 3

x=28

So that means that 28 will make the triangles similar by SSS similarity

*you double check by doing 21/28 and see that it's also equal to 3/4

Hope this helps!

Answer:

The slope represents the cost per gallon for heating oil while the y-intercept represents the fee for heating oil.

Answer:

Step-by-step explana

multiply it by 2 or sdd itself to it

The  account will have $1536.007 after 9 years.

Part A:

To express the total amount of money A(t) in the account after 7 years, we can use the formula:

A(t) = P[tex](2^t)[/tex]

where:

A(t) is the total amount in the account after t years,

P is the initial amount in the account (starting with $3.00 in this case),

t is the number of years.

Substituting the values into the formula, we get:

A(t) = 3 ([tex]2^7[/tex])

A(t) = 3 x 128

A(t) = 384

Therefore, the total amount of money in the account after 7 years is $384.

B) To find out after how many years the account will have $1536.007, we need to solve the equation:

1536.007 = 3 [tex](2^t)[/tex]

Dividing both sides of the equation by 3, we get:

512.0023333333 = [tex]2^t[/tex]

Taking the logarithm (base 2) of both sides, we have:

log2(512.0023333333) = t

t = 9.000317.

Therefore, the account will have $1536.007 after 9 years.

Learn more about Equation here:

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Answer:

273 - 153.94 = 119.1 [tex]in^{2}[/tex]

Step-by-step explanation:

area of a trapezoid - area of a circle = shaded area

Answer: I'm not smart or nun but u tryna find the graph? It's (3, -36)

Step-by-step explanation:

Kinda did it-

Answer:

3/20

Step-by-step explanation:

Of means multiply. When it says 3/10 of 4/8, it just means 3/10*4/8 which when multiplied across gives you 12/80. Which can be simplified to 3/20.

Hope this helps.

Answer:

x2 - 2x +1

x2 - 1x -1x +1

(x2 - 1x) - (1x+1)

x(x-1) -1 ( x - 1)

(x - 1) (x - 1)

Answer:

Area of the rectangle = x² - 3x - 10

2019

Step-by-step explanation:

Length of the rectangle = x + 2

Width of the rectangle = x - 5

Area of the rectangle = length × width

= (x + 2) (x - 5)

= x² + 2x - 5x - 10

= x² - 3x - 10

Area of the rectangle = x² - 3x - 10

C = 20t² + 135t + 3050

Where

C = the number of new cars

t = year the number of new cars was purchased

t = 0 corresponds to 1998

Find the when c = 15,000

C = 20t² + 135t + 3050

15,000 = 20t² + 135t + 3050

20t² + 135t + 3050 - 15,000 = 0

20t² + 135t - 11,950 = 0

4t² + 27t - 2390 = 0

Solve using quadratic equation

t = -b ± √b² - 4ac / 2a

= -27 ± √27² - 4(4)(-2390) / 2(4)

= -27 ± √729 -(-38240) / 8

= -27 ± √729 + 38240 / 8

= -27 ± √38969 / 8

= -27/8 + √38969/8 or 27/8 - √38969/8

= -3.375 + 197.41/8 or -3.375 - 197.41/8

= -3.375 + 24.67625 or -3.375 - 24.67625

t = 21.30125 or - 28.05125

t cannot be negative

Therefore,

t = 21.30125

To the nearest whole number

t = 21

Recall,

t = 0 corresponds to 1998

Therefore

1998 + 21 = 2019

c = 15,000 in the year 2019

Step-by-step explanation:

-a-7a/8

-8a-7a/8

-15a/8

Hope it helps you

Answer:

Step-by-step explanation:

WE have to find the least common denominator and it is 8

[tex]-a =\frac{-a*8}{1*8}=\frac{-8a}{8}\\\\-a -\frac{7}{8}a=-\frac{8}{8}a-\frac{7}{8}a\\\\=\frac{-8a-7a}{8}\\\\=\frac{-15a}{8}\\\\[/tex]

Answer:

y=2x+1

Step-by-step explanation:

Hi there!

We are given the slope (m), which is 2, as well as the point (5,11).

We need to find the equation of the line.

There are 3 ways to write the equation of the line, but the most common type is slope-intercept form, or y=mx+b, where m is the slope and b is the y intercept

We're already given the slope (2), so we can substitute it into the equation right away

here's the equation so far:

y=2x+b

now we need to find b.

We can do this by plugging (5,11) into the equation, as the line passes through that point.

Substitute x as 5 and 11 as y

11=2(5)+b

multiply

11=10+b

subtract 10 from both sides

1=b

substitute 1 as b into the equation

y=2x+1

Hope this helps! :)

Answer:

5 units

sin(D)= 5/13

Step-by-step explanation:

i just did the question

Answer:

x y z are all equal to 60 because it on a line

Answer:

Step-by-step explanation:

40 + x + 80 = 180 degree (being linear pair)

120 + x = 180

x = 180 - 120

x = 60 degree

y + 120 = 180 degree (being linear pair)

y = 180 - 120

y = 60 degree

70 + 50 + z = 180 degree (being linear pair)

120 + z = 180

z = 180 - 120

z = 60 degree

x + y + z = 180 degree (being linear pair)

Note : A linear pair is a pair of adjacent angles formed when two lines intersect.

Answer:

Step-by-step explanation:

The angle opposite to longest side is the largest angle.

WY is the longest side. ∠x is the greatest

Arrange sides from largest to smallest

WY >  YX > XW

∠X   > ∠W > ∠Y

Answer:

angle X, angle W, and angle Y

Step-by-step explanation:

got it right on edge

5^-2 * 5x = 1

Simplify:

5^-2 = 1/25

Now you have 1/25 * 5x = 1

1/25 x 5 = 1/5

1/5x = 1

Divide both sides by 1/5 ( when dividing by a fraction, flip the fraction over an multiply)

x - 1 x 5/1 = 5

X = 5

Answer:

x = 5

Step-by-step explanation:

This statement translates into 5^(-2)*5x = 1, which by rules of exponents simplifies to:

  5x                           x

--------- = 1,  or          ----- = 1

  5^2                          5

Cross-multiplying, we get x = 5

Answer:

yehshjdjejrdjjej3u Rudd ixjje

Answer:

1:3. That's the answer to this question.

Answer:

BCD

Step-by-step explanation:

You can easily find out by the points at the end of line. These points indicate that this is line segment.

Answer:

B y = x² +9

Step-by-step explanation:

A quadratic function must have the highest power of x being x^2 and must have an x^2 term

A y = X-9  - linear

B y = x² +9 quadratic

C y = x + 2x -9 - linear

Answer: If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus. If one diagonal of a parallelogram bisects a pair of opposite angles, then the parallelogram is a rhombus. To prove a square, you must prove it is both a rectangle and a rhombus.

Answer:

$12.50

Step-by-step explanation:

$100-$25-$50=$25

$25 / 2 = $12.50

Answer:

$12.50

the answer is b the second one

Answer:

the 48

Step-by-step explanation:

fairly obvious

Answer:

1: 16.7%

prime number: 50%

Step-by-step explanation:

divide the numbers

Answer:

2/3

Step-by-step explanation:

There are 6 possible numbers

all of the prime numbers from 1 to 6 are

2, 3, 5 ( plus 1 because this problem is counting 1 along with the prime numbers)

That is 4 numbers

4 out of 6 numbers

so there is a 4/6 or 2/3 chance that George will roll a 1 or a prme number

Let the ∠C be : θ

From the figure, We can see that the Side which is opposite to angle θ is measuring 7 units

Also, We can notice that Hypotenuse is 11 units

As we are dealing with opposite and hypotenuse, we can clearly use Sinθ to find out the angle θ

We know that :

[tex]\bigstar \ \ \boxed{\sf{Sin\theta = \dfrac{Opposite \ Side}{Hypotenuse}}}[/tex]

[tex]\implies \sf{Sin\theta = \dfrac{7}{11}}[/tex]

[tex]\implies \sf{\theta = Sin^{-1}\bigg(\dfrac{7}{11}\bigg)}[/tex]

[tex]\implies \sf{\theta = 39.52^{\circ}}[/tex]

Answer : The measure of ∠C to the nearest degree is 38°

Answer:

x^2 - 2x - 8.

Step-by-step explanation:

Using long division:

x - 2)x^3 - 4x^2 - 4x + 16( x^2 - 2x - 8 <------ Quotient

       x^3 - 2x^2

              -2x^2 - 4x

              -2x^2 + 4x

                         - 8x + 16

                          -8x + 16

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

Answer:

semi-regular tessellations

Step-by-step explanation:

Answer:

x ≤ 3

Step-by-step explanation:

The vertical line at x = 3 is solid and shaded to the left

Therefor

x ≤ 3

Answer:

x≤3

Step-by-step explanation:

There is a solid line at x =3

The graph is shaded to the left and includes the solid line

x≤3

Answer:

3√2

Step-by-step explanation:

d = √(x2 - x1)² + (y2 - y1)²

√(-2 - 1)² + [2 - (-1)]

√(-3)² + (3)²

√9 + 9

√18

= 3√2

Answer:

This is an isosceles triangle, meaning it has 2 congruent angles and one other angle.

Looking at this triangle, we know that ∠B = ∠C.

∠B = 57 degrees

All the angles in a triangle add up to 180, so you need to subtract the two values from 180 to get ∠A.

∠A = 180 - 57 - 57

       = 66 degrees

Hope this helps!

Answer:

D

Step-by-step explanation: