1. Identify two different triangles in the image above. Are the triangles similar? Explain your answer
2.create three different proportions that can be used to find BC in the figure above.At least one proportion must include AC as one of the measures.

Answer:

Step-by-step explanation:

-4 + 5x − 7 = 10 + 3x − 2x

=> 5x + 2x - 3x = 10 + 7 + 4

=> 4x = 21

=> x = 21/4 (Ans)

Answer:

d. x = 4/21

Step-by-step explanation:

-4 + 5x − 7 = 10 + 3x − 2x

5x-11 = x+10

4x = 21

x = 4/21

hope it helps :)

please mark brainliest!

Answer:

x + y = 9

y = x + 2

Step-by-step explanation:

We need to write a system of equations to represent the given situation . The statements are ,

Statement 1:- The sum of x and y is 9.

Mathematically , we can write it as ,

[tex]\rm\implies x + y = 9 [/tex]

Statement 2:- The value of y is two more than the value of x.

This simply means that y equals to 2 + x , that is

[tex]\rm\implies y = x+2[/tex]

Therefore the system of equations will be ,

Also when we will try to solve the equations we will get ,

[tex]\rm\implies x + y = 9 [/tex]

Put y = x + 2 , we have ,

[tex]\rm\implies x + x + 2= 9 [/tex]

Add the like terms ,

[tex]\rm\implies 2x +2 = 9 [/tex]

Transpose 2 to RHS ,

[tex]\rm\implies 2x = 9 -2 = 7[/tex]

Divide both sides by 2 ,

[tex]\rm\implies \boxed{\blue{\rm\quad x = 3.5\quad}}[/tex]

Similarly we will get the value of as ,

[tex]\rm\implies 3.5 + y = 9 [/tex]

Transpose 3.5 to RHS ,

[tex]\rm\implies y = 9 - 3.5 [/tex]

[tex]\rm\implies \boxed{\blue{\rm\quad y = 5.5\quad}}[/tex]

Therefore ,

[tex]\begin{cases} \rm x = 3.5 \\\\\rm y = 5.5 \end{cases}[/tex]

Answer:

6

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

[tex]{ \tt{(8x + 3) + (2x + 7) = 180 \degree}} \\ { \tt{10x + 10 = 180}} \\ { \tt{10x = 170}} \\ { \tt{x = 17}}[/tex]

[tex]{ \bf{ \angle Q = (2x + 7)}} \\ { \bf{ \angle Q = (2 \times 17) + 7}} \\ { \bf{ \angle Q =41 \degree }}[/tex]

Answer:

Infinite Solutions

Step-by-step explanation:

If you graph both lines (shown below), you will see that both lines given are overlapping each other. This means that their are an infinite amount of solutions.

Best of Luck!

Answer:

k = 2

Step-by-step explanation:

[tex]\frac{8}{4} =\frac{4}{k}[/tex]

8k = 16

k = 2

Answer:

Yes, the product AB is defined

Order of AB=[tex]2\times 4[/tex]

Step-by-step explanation:

We are given that

Order of matrix A=[tex]2\times 3[/tex]

Order of matrix B=[tex]3\times 4[/tex]

We have to find the product AB is possible if possible find dimension of the product.

Number of rows of matrix A=2

Number of columns of matrix A=3

Number of rows of matrix B=3

Number of columns of matrix B=4

For product of AB

Number of columns of matrix A=Number of rows of matrix B

Therefore, number of columns in A is equal to number of rows in B.

Hence, product AB is defined.

If order of A=[tex]m\times n[/tex]

Order of B=[tex]n\times p[/tex]

Then, order of AB=[tex]m\times p[/tex]

Therefore, order of AB=[tex]2\times 4[/tex]

Answer: $781.56 (usual decimal) / $781.5625 (original decimal)

Step-by-step explanation:

Step One: Find the amount of money earned in 40 hours

$15.25 × 40 = $610

Step Two: Find the amount of time over 40 hours

47.5 - 40 = 7.5 hours

Step Three: Find the amount of money earned per hour beyond 40 hours

1.5 × $15.25 = $22.875

Step Four: Find the amount of money earned beyond 40 hours

$22.875 × 7.5 = $171.5625

Step Five: Add all the amount of  money together

$610 + $171.5625 = $781.5625

Step Six: Rounding

$781.5625 ≈ $781.56

**Disclaimer** Usually the amount of money ends at two decimal places. However, I am not sure about your rules applied in the mathematics of rounding. Therefore, if you are totally fine with having over normal amounts of decimals, then it would be your choice.

Hope this helps!! :)

Please let me know if you have any questions

Answer:

c = 180

Step-by-step explanation:

Varies joint with d and the square of g

c = k d g^2  where k is a constant

30 = k * 15 * 2^2

30 = 60k

30/60 = k

1/2 = k

c = 1/2 d g^2

Let d = 40 and g=3

c = 1/2 ( 40) (30^2

c = 20 (9)

c = 180

Answer:

C. Absolute value is the answer

Answer:

the number you're looking for is 9.5

Step-by-step explanation:

4x-7 = 12+2x

2x-7 = 12

2x = 19

x = 9.5

Step-by-step explanation:

sqrt(x+4)

the answer is in the image above

Answer:

The answer is 100:40:50

Answer:

131 plums

Step-by-step explanation:

The fraction of plums = 10/(10+4.5)

= 10/14.5

= 100/145

So the required number of plums = 100 * 190 /145

= 131.

Answer:

the correct answer is b

Step-by-step explanation:

there are 256 players so 128 matches will be there first and 128 will reach in second round and again 64 matches and half of them will be eliminated and do it till there will be final 2 then add matches played and u will get254 matches and 1 last match will be final

so ans is 255

Solution :

Trigonometric angles :

The trigonometric angles are defined as the angles that are obtained by the ratios of trigonometric functions. It shows the relationship between the sides of the triangle and the angles between them. These values of the trigonometric angles ranges from 0 to 36 degrees.

Below attached shown are the angles on a unit circle which shows the angles for each value of sin, cos and tan, and also the radian measure for each of the angles.

Answer:

your closest number should be A

Answer:

A.√99

Step-by-step explanation:

10^2 = 100

Or vise versa √100 = 10

The closest number to 100 is 99

So √99 is closest to 10

Answer: Most likely 6,750 steps

Answer:

= 4/15

Step-by-step explanation:

=4 . 2/5  /6

= 4/15

Answer:

0.26

Step-by-step explanation:

4 (2/5) /6

2/5 = 0.4

4 × 0.4 = 1.6

1.6 / 6 = 0.26

The answer is 0.26

Answer:

A) 6 square inches.

Step-by-step explanation:

A(Triangle) = 1/2bh

b = base length

h = height length

A(Triangle) = 1/2(4)(3) = 6

Therefore, the area of the triangle is 6 in².

Answer:

C. (x+7)(x+6)

Step-by-step explanation:

F: X*X = X^2

O: x * 6 = 6x

I: 7 * x = 7X

L: 7*^ = 42

Answer:

x^2 + 100

x^2 + 10^2

Using the square of 2 sums formula ((x + y)^2 = x^2 + y^2 + 2xy), we can simplify as: x^2 + y^2 = (x + y)^2 - 2xy.

Implement y = 10, then we got:

x^2 + 10^2 = (x + 10)^2 - 20x

Answer:

The equation is:

y=5x-2

Answer:

write -3+6^x

Step-by-step explanation:

ur answer is true actually just don't write 'y='

Answer: No slope / undefined

Step-by-step explanation:

Concept:

Here, we need to know the idea of a slope.

The slope is the measure of the steepness of a line.

The basic formula of slope is [Rise / Run] which is basically [Y] value (vertical) over [X] value (horizontal)

If you are still confused, please refer to the attachment below for the full formula.

Solve:

(7 ,1)

(7, -2)

Slope = (1 - (-2)) / (7-7)

Slope = (3) / 0

Slope = Undefined

Indeed, it is a vertical line. By definition, a vertical line has no slope.

Hope this helps!! :)

Please let me know if you have any questions or need further explanations

Answer:

it must be yes!

Step-by-step explanation:

Answer:

x = 0, π/3, 2π/3,  π,  4π/3,  5π/3

Step-by-step explanation:

4cos^4(x) – 5cos^2(x) + 1 = 0

(4cos^2(x) - 1)(cos^2(x) - 1) = 0

When 4cos^2(x) - 1 = 0

cos^2(x) = 1/4

cos x = +/-1/2

so x = π/3, 2π/3, 4π/3, 5π/3.

When cos^2x - 1 = 0

cos x = +/- 1

x =  0, π.

x

The solution is : x = 0, π/3, 2π/3,  π,  4π/3,  5π/3

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

given that,

4cos^4(x) – 5cos^2(x) + 1 = 0 from [0, 2π)

so, we get,

4cos^4(x) – 5cos^2(x) + 1 = 0

(4cos^2(x) - 1)(cos^2(x) - 1) = 0

When 4cos^2(x) - 1 = 0

cos^2(x) = 1/4

cos x = +/-1/2

so x = π/3, 2π/3, 4π/3, 5π/3.

When cos^2x - 1 = 0

cos x = +/- 1

x =  0, π.

Hence, The solution is : x = 0, π/3, 2π/3,  π,  4π/3,  5π/3.

To learn more on simplification click:

brainly.com/question/28996879

#SPJ2

Answer:

Your question is incomplete pleasegove the real question.

Step-by-step explanation:

Answer:

y = 1/(x+1)   -5

X cannot be -1 because the denominator would go to zero

Step-by-step explanation:

f(x) = 1/(x+5) -1

y =  1/(x+5) -1

Exchange x and y and solve for y

x =  1/(y+5) -1

x+1 = 1/(y+5)

Multiply by (y+5)

(x+1) (y+5) = 1

Divide by (x+1)

y+5 = 1/(x+1)

Subtract 5

y = 1/(x+1)   -5

X cannot be -1 because the denominator would go to zero

Answer: 20

Step-by-step explanation:

X - 8 = 12

+ 8 +8

X = 20

20 gallons were in the tub to start with

Answer: A reflection (Across the y-axis)

Step-by-step explanation:

Transformation possiblitites:

Translation: After plotting the points you gave I came to the conclusion that a translation could not be the right transformation due to the fact that the point would move away the same units on a graph as the original point.

Rotation: The new point doesn't seem when graphed to have rotated, as it remained across from the orignial point on the graph.

Dilation: The new point if dilated wouldn't be in close proximity with the original point.

Answer:

y = 4/5x - 18/5

Step-by-step explanation:

y = mx + b

m = 4/5

(2, -2)

-2 = 8/5 + b

b = -10/5 - 8/5 = -18/5

y = 4/5x - 18/5