Which of the following is true about these similar triangles?

Question 13 options:

AB/BC = BC/AB


AB/BC = DE/EF


AB/BC = DE/DF


AB/BC = BC/DF

Answer:

Option D

Step-by-step explanation:

Given the inequality statement: 5 + 8x < 3(2x + 4):

We must solve for the solution of the given inequality statement.

First, distribute 3 into the parenthesis:

5 + 8x < 3(2x + 4)

5 + 8x < 6x + 12

Next, subtract 6x from both sides:

5 + 8x - 6x < 6x - 6x + 12

5 + 2x < 12

Then, subtract 5 from both sides:

5 - 5 + 2x < 12 - 5

2x < 7

Divide both sides by 2 to solve for x:

[tex]\displaystyle\mathsf{\frac{2x}{2}<\:\frac{7}{2}}[/tex]

[tex]\displaystyle\mathsf{x<\:\frac{7}{2}}[/tex]  

Since  [tex]\displaystyle\mathsf{\frac{7}{2}}[/tex] = 3.5, and that the inequality symbol is "<," then it means that   [tex]\displaystyle\mathsf{\frac{7}{2}}[/tex] or 3.5 is not included as an endpoint.  This corresponds to an empty circle on the 3.5 mark on the number line, pointing towards the left (indicating that the values must be less than 3.5).

Therefore, the correct answer is Option D.

Answer:

15%

Step-by-step explanation:

Answer:

9.51

Step-by-step explanation:

9 x 1 is equal to 9

5 x 1/10 is equal to 5/10 which is also 0.5

1 x 1/100 is equal to 1/100 which is also 0.01

Step-by-step explanation:

sum of three angles in a triangle is 180

55+35+x=180

90+x=180

x=180-90

x=90

Answer:

1/345 or 0.00289855 (for 1/5 / 69)

I feel like you're most likely talking about 69 / 1/5 which is 345

Try looking at the problem you are doing again :)

Answer:

0.00289855072

Step-by-step explanation:

1÷5 = 0.2

0.2 ÷ 69 = 0.00289855072

Answer:

Z and X is incorrect

Answer:

– 15q6 + 18q5 - 13q4 - 15q3 + q2 + 9

Step-by-step explanation:

(18q5 – 17q3 + 9 – 15q6) – (–2q3 – q2 + 13q4)

(18q5 – 17q3 + 9 – 15q6) +2q3 + q2 - 13q4

18q5 – 17q3 + 9 – 15q6 +2q3 + q2 - 13q4

18q5 - 15q3 – 15q6 + q2 - 13q4 + 9

– 15q6 + 18q5 - 13q4 - 15q3 + q2 + 9

Answer: 4 packages

Step-by-step explanation: the greatest common factor of 20 and 16 is 4.

Answer:

They intersect 4 times.

Step-by-step explanation:

When graphed, the first equation is a circle with a center resting at (0,0)

The second equation intersects the circle at (-3.7,3.3), (3.7,3.3), (3.7,-3.3), (-3.7,-3.3)

Answer:

12%

Step-by-step explanation:

You subtract 336 from 300 which will give you 36, then you divide 36 by 300 and you will get .12 which is 12%

Answer:

Noah

Step-by-step explanation:

Potential energy is the amount of energy that can be transfered to kinetic. This means that the higher person will have more potential energy.

Answer:

A.25×5×8=960

B.15×7×14=1610

C.5x39×8=1290

D.12×20×4=1124

Step-by-step explanation:

yan po hirap

Answer and Step-by-step explanation:

This equation is linear because the slope is changing at a constant rate.

Write in standard form:

Standard form on an equation is written like so: Ax + By = C

First combine the y-values.

12x = -3y

Now add 3y to both sides of the equation.

12x + 3y = 0   <-- This is the answer (equation) in standard form.

#teamseas #PAW (Plant And Water)

I hope this helps!

Answer:

Step-by-step explanation:

101 degrees

Answer:

1:15

Step-by-step explanation:

4 and 60 have the GCF of 4. So, if you divide both sides by that factor, you would get 1:15. Hope this helped :)

Answer:

$1200

Step-by-step explanation:

Since he's paying $100 on a 12 month plan, you do

100 * 12 = 1200

In total he's paying $1,200.

Answer: 1200

Step-by-step explanation: Hope this helps :)

Answer:

ñ

Step-by-step explanation:

ñ

Answer:

11

Step-by-step explanation:

to find the area of a square: base times height, we know that all sides of a square are the same. So, 11*11

=121, the answer is 11

Answer:

11 in.

Step-by-step explanation:

The canvas has the shape of a square.

The area of a square is the side times the side, but since in a square, all sides have equal lengths, then the area of a square is the square of the side.

You are given the area. You need to find the side.

The area is the square of the side, so the side is the square root of the area.

side = √area

side = √(121 in.²)

side = 11 in.

Answer:

(-5, 3)

Step-by-step explanation:

x = -5

-5x - 10y = -5

Subsitute for x = -5

-5(-5) - 10y = -5

25 - 10y = -5

subtract 25 from both sides

-10y = -30

divide both sides by -10

y = 3

Answer:

Step-by-step explanation:

Old weight = 60 pound

New weight = 80 pound

Finding:

Percent of increase in weight

Therefore:

Percent of expansion in weight = [(New weight - old weight)/Old weight]100

Percent of expansion in weight = [(80 - 60)/60]100

Percent of expansion in weight = [(20)/60]100

Percent of expansion in weight = 33.33% Approx.

Answer:

y= (2/3)-(1/2)

= (4-3)/6

= 1/6

=> A

Step-by-step explanation:

Answer:

I tried but I couldn't figure it out sorry

Answer:

Step-by-step explanation:

For the first throw the probability that it does not land on four should be .35 not .25

On the top for the second throw the probabilities should be swapped (so land on 4= .65 and not land on four =.35)

Answer: Is 6

Step-by-step explanation: Because 1 mile = 1/2. Is this helpful?

a) The linear system as a matrix equation in the form AX= B as

[tex]\left[\begin{array}{ccc}-1&1&1\\0&-2&-1\\2&1&0\end{array}\right][/tex] [tex]\left[\begin{array}{c}x\\y\\z\end{array}\right][/tex] = [tex]\left[\begin{array}{c}0\\-2\\4\end{array}\right][/tex]

b) The solution set is {x = 2, y = -4, z = -2}.

Given that A⁻¹ = [tex]\left[\begin{array}{ccc}-1&1&1\\2&-2&-1\\-4&3&2\end{array}\right][/tex],

To find the matrix equation in the form AX = B, multiply both sides of the equation by A⁻¹:

A⁻¹(A⁻¹X) = A⁻¹B

X = A⁻¹B

Therefore, the linear system as a matrix equation in the form AX = B is:

[tex]\left[\begin{array}{ccc}-1&1&1\\0&-2&-1\\2&1&0\end{array}\right][/tex] [tex]\left[\begin{array}{c}x\\y\\z\end{array}\right][/tex] = [tex]\left[\begin{array}{c}0\\-2\\4\end{array}\right][/tex]

2. The given system of equations can be represented as:

                                    A = [tex]\left[\begin{array}{ccc}-1&1&1\\0&-2&-1\\2&1&0\end{array}\right][/tex]

                                    X  = [tex]\left[\begin{array}{c}x\\y\\z\end{array}\right][/tex]

                                    B = [tex]\left[\begin{array}{c}0\\-2\\4\end{array}\right][/tex]

Using the given inverse of A:

A⁻¹ = [tex]\left[\begin{array}{ccc}-1&1&1\\2&-2&-1\\-4&3&2\end{array}\right][/tex]

Multiply A⁻¹ by B to solve for X:

[tex]X = A^{(-1)} B[/tex]

[tex]\left[\begin{array}{c}x\\y\\z\end{array}\right][/tex]   = [tex]\left[\begin{array}{ccc}-1&1&1\\2&-2&-1\\-4&3&2\end{array}\right][/tex]  [tex]\left[\begin{array}{c}0\\-2\\4\end{array}\right][/tex]

Performing the matrix multiplication:

|  x  | =  | (-1)(0) + (1)(-2) + (1)(4)|   |  2  |

|  y  | = | (-2)(0) + (3)(-2) + (2)(4)|  | -4  |

|  z  |   | (2)(0) + (-2)(-2) + (-1)(4)|   | -2  |

Therefore, the solution set is {x = 2, y = -4, z = -2}.

Learn more about Matrix here:

https://brainly.com/question/29132693

#SPJ4

Answer:

22 boxes

5 cookies left

Step-by-step explanation:

135 / 6 = 22.5

Lucy will have 3 cookies left over that won't fit into any full boxes. To find how many full boxes Lucy will have, we can divide the total number of cookies (135) by the number of cookies in each box (6).

Number of full boxes = Total number of cookies / Number of cookies in each box

Number of full boxes = 135 cookies / 6 cookies per box

Number of full boxes = 22.5

Since Lucy cannot have a fraction of a box, she will have 22 full boxes of gingerbread cookies.

To find how many cookies she will have left over, we can find the remainder after dividing the total number of cookies by the number of cookies in each box.

Number of cookies left over = Total number of cookies % Number of cookies in each box

Number of cookies left over = 135 cookies % 6 cookies per box

Number of cookies left over = 3

To know more about cookies:

https://brainly.com/question/34872820

#SPJ2

Answer:

70/10 = 7

70/7 = 10

10-7 = 3

There are 3 more teams would the counselor make if he divides the students into teams of 7.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

There are 70 students at a summer camp.

A counselor divides the students into teams of 10.

Let x be the total number of members in the final team:

For the first division = 70/10 = 7

= 70/7 = 10

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

x = 10 - 7 = 3

Thus, there are 3 more teams would the counselor make if he divides the students into teams of 7.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

12

Hope it helps!!!!!!!

Answer:

x = 5

Step-by-step explanation:

Let's solve your equation step-by-step.

4x+2=2(x+6)

Step 1: Simplify both sides of the equation.

4x+2=2(x+6)

4x+2=(2)(x)+(2)(6)(Distribute)

4x+2=2x+12

Step 2: Subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

Step 3: Subtract 2 from both sides.

2x+2−2=12−2

2x=10

Step 4: Divide both sides by 2.

[tex] \tt \: \frac{2x}{2} = \frac{10}{2} [/tex]

Result:

x = 5

Answer:

96-26=70 books she bought at the yard sale