Choose Equivalent or Not Equivalent

a. 6(3x+5) and 18x+30

b. 12y+3 and 3y+12

Answer:

C. 6

Step-by-step explanation:

ΔADC and ΔACB are similar because two of their angles are congruent (∠ACD and ∠ABC, and ∠DAC and ∠CAB)

Because the sides are similar, you can create a proportion

[tex]\frac{AC}{AD}=\frac{AB}{AC}[/tex]

substitute the given values for the sides. AD=4 and AB=4+5=9

[tex]\frac{AC}{4}=\frac{9}{AC}[/tex]

cross multiply

[tex]AC^{2} =36[/tex]

take the square root of both sides

AC=6

Answer:

c) 10

Step-by-step explanation:

you need to add the white and red marbles which would be 14.

then you subtract 14 by the amount of blue marbles.

Answer:

A. 130°

Step-by-step explanation:

Answer:130

Step-by-step explanation:

I just finished the quiz :)

Answer:

Step-by-step explanation:

A linear equation can be written in the form

y = mx+b.

y = x² is not linear.

Answer:9

Step-by-step explanation:

Answer:

I think it's either A or D

Answer:

$258.48

Step-by-step explanation:

Answer:

$10.50

Step-by-step explanation:

$39.90 ÷ 3.8 pounds

= 10.50263157894735

after rounding, your answer must be 10.50

hope this helps.

Answer:

5.831

Step-by-step explanation:

Distance between both given points=Lenght=5.831

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{x +2}{4}=8}[/tex]

[tex]\large\textsf{MULTIPLY 4 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{x +2}{4}\times4=8\times4}[/tex]

[tex]\large\textsf{CANCEL out: 4}\times\large\textsf{4.}[/tex]

[tex]\large\textsf{KEEP: 8}\times\large\textsf{4 because it helps you solve for x}[/tex]

[tex]\mathsf{8\times4=\bf 32}[/tex]

[tex]\large\text{New equation: \textsf{x + 32 = \bf 32}}[/tex]

[tex]\large\textsf{x + 2 = 32}[/tex]

[tex]\large\textsf{SUBTRACT 2 to BOTH SIDES}[/tex]

[tex]\mathsf{x +2-2=32-2}[/tex]

[tex]\large\textsf{CANCEL out: 2}-\large\textsf{2 because that gives you 0}[/tex]

[tex]\large\textsf{KEEP: 32}-\large\textsf{2 because that helps you solve for x}[/tex]

[tex]\large\textsf{New EQUATION: \mathsf{x = 32 - 2}}[/tex]

[tex]\mathsf{x = 32 - 2}[/tex]

[tex]\large\textsf{Simplify above and you have your result to this equation}[/tex]

[tex]\mathsf{32-2=\bf 30}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x =30}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer: 13/24

Step-by-step explanation:

The experiment occurred 24 times orange or lime was selected 10+3=13

Probability the next chew will be orange or lime: 13/24

The answer is b          

saddsadsadas

Answer:

B

Step-by-step explanation:

Cause he added 24.76 more pounds to the 3.6 pounds. So you can take 24+3=27 and you might think C, but 0.76+0.6 that equals more than 1, so 27+1=28, and B has 28 as its answer, so its B

B

Answer:

150

Step-by-step explanation:

Remark

The exterior angle = the sum of the two given interior angles. The first job is to solve for x and then use that to find the exterior angle.

Equation

83 + 6x + 7 = 15x              

Solution

Combine like terms

90 + 6x = 15x        Subtract 6x from both sides.

        6x     6x

90 = 9x                 Divide both sides by 9

90/9 = 9x/9

x = 10

Now the exterior angle = 15x

Exterior angle = 15*10

Exterior angle = 150

Answer: One

Step-by-step explanation: Recall that intersecting lines have one solution and therefore the system is consistent. Because the lines are not the same, the equations are independent.

Answer:

what angles

Step-by-step explanation:

i do not see anything to solve

Answer:

$415.63

Step-by-step explanation:

it would have been 393.75, but he worked 5 hours overtime and got paid time and a half for it, meaning his normal pay plus half of it. (only for overtime tho).

so first calculate his normal pay:

40 × 8.75 = 350

then add overtime to it

8.75 × 5 = 43.75

43.75 × 1.5 = 65.625

65.625 + 350 = 415.625

round that and its 415.63!

Answer:

Randomly selecting a six of diamonds - 1 / 52

Randomly selecting a 7, 8, 9 or 10 - 4 / 13

Step-by-step explanation:

There is only 1 six of diamonds in a standard deck of cards. There are 52 cards in a deck, thus the probability of pulling a six of diamonds is 1 in 52.

There are 4 of each card in a deck. so they are 4 7's, 4 8's. 4 9's and 4 10's. And there are a total of 52 cards in a deck. So the probability of pulling a 7,8,9 or 10 are 4 + 4 + 4 + 4 in 52

4 + 4 + 4 + 4 = 16

16 / 52 simplified is 4 / 13 Therefore the is a 4 in 13 chance of pulling a 7 8 9 or 10

The other ones are correct

Answer:

3.03 (if you're rounding to nearest hundredth, 3 if nearest whole/tenth.

Answer:

The second answer choice

Step-by-step explanation:

The pyramid shown is a triangular pyramid. A triangular pyramid consist of 4 faces; 1 triangular base and 3 triangular lateral faces.

Hence, the correct answer would be the second choice.

Answer:

C

Step-by-step explanation:

According to Math.way C would be the correct answer :)

Answer:

11

Step-by-step explanation:

(20 + 1 + 14 + 14 + 9 + 8) / 6

= 66 / 6

= 11

Answer:

1. 2,555

2. 23.25

Step-by-step explanation:

1. 5+10+20+...

S9 = 5(2^9-1)/(2-1)

= 5(511) = 2,555

2. 12+6+3+1.5+0.75 = 23.25

Step-by-step explanation:

We use tangent because it uses opposite over adjacent.

So,

tan 33 = x/46

or

46 * tan 33 = x

Type this into the calculator and you get around 29.87

Answer:

1. 21%   2.  70%

Step-by-step explanation:

1. 21 out of 100 are filled in

2. 7/10 are filled in

Answer:

I don't know I'm sorry.............

9514 1404 393

Answer:

  15

Step-by-step explanation:

Your calculator can tell you √230 ≈ 15.17. The closest integer is 15.

__

If you have memorized the squares of small integers, you know that 15² = 225 and 16² = 256. 230 is closer to 225 than to 256, so √230 will be closer to 15.