The angle measures of a triangle are shown in the diagram.
50
(2x)
(3x - 100
What is the value of x?
O A. 25
B. 20
10
OD. 28

Answer:

3

Step-by-step explanation:

7 plus three is 10, adding -10 to that equals zero.

The value of x would result in the numerical value of zero in the expression 7+x+(−10) is 3.

Based on the information given, we simply have to find the value of x. Therefore, the value of x from the equation will be:

7 + x + (-10) = 0

Collect like terms

x = 10 - 7

x = 3

Therefore, the value of x would result in the numerical value of zero in the expression 7+x+(−10) will be 3.

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Answer:

x = 3, x = 4

Step-by-step explanation:

Given

[tex]\frac{24}{x}[/tex] = 14 - 2x ( multiply through by x , x ≠ 0 )

24 = 14x - 2x² ( subtract 14x - 2x² from both sides )

2x² - 14x + 24 = 0 ( divide through by 2 )

x² - 7x + 12 = 0 ← in standard form

(x - 3)(x - 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x - 4 = 0 ⇒ x = 4

Answer:

38

Step-by-step explanation:

We can express the 8th term as x and the 12th term as y.

This would mean that 8x=12y

Because the common difference between terms is -2 and term 8 and term 12 are 4 terms apart, this means that the 12th term is 8 less than the 8th term, so x-8=y

Now we can use this to substitute y with x in the first equation. This would give us:

8x=12(x-8)

Which we can expand and solve:

8x=12x-96

-4x=-96

Therefore x=24

This means the 8th term is 24 and the 12th term is 16 (24-8).

To test if this is correct we can do:

8x24=12x16

Which indeed are equal, both sides multiply to 192.

Now that we have our 8th term, we can find the 1st term, which is 7 terms away, therefore we just add 14 to the 8th term 24. (7x2=14)

24+14=38.

The first term is 38.

Hope this helped!

Answer:

7 meters

Step-by-step explanation:

Now write an equation that represents the situation. You want to find the change in the dolphin's depth, so subtract its beginning depth from its final depth.

The change in the dolphin's depth is negative 7 meters.

Subtraction of two or more numbers or algebraic expressions is the method of taking away a certain value from a number. This operation is also called difference of numbers.

Subtraction is one of the basic operations in mathematics along with division, multiplication and addition.

Initial depth that Dolphin was swimming = 28 meters

Then the Dolphin changed it's depth to avoid predator.

Final depth that Dolphin was swimming = 21 meters

Change in depth = Final depth - Initial depth

                            = 21 - 28

                            = -7 meters

This implies that depth of the Dolphin decreases with -7 meters.

Hence the change in the Dolphin's depth is -7 meters if the initial depth was 28 meters and final depth was 21 meters.

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Answer:

0.4  since the number is non terminating and non repeating therefore it is irrational number.

-78  A rational number is a number that can be expressed as a fraction where both the numerator and the denominator in the fraction are integers. The denominator in a rational number cannot be zero

15  The number 15 is a rational number. It is an integer and all integers are rational numbers.

0 Yes zero is a rational number. Thus, 0 can be written as, where a/b = 0, where a = 0 and b is any non-zero integer.

Answer: C=250S+4500

C=250(17) + 4500    

C=4250+4500

C=8750

Step-by-step explanation:

As an equation, 250 would be the slope because it is multiplying by the ton and 4500 is the y intercept. If you substitute in 17 for S, then multiply 17 by 250, you get 4250 then add the 4500 and you get 8750 so if S=17, C=8750

The cost of transporting 17 tons of sugar is $8750.

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

The given information can be related as,

C = 250S + 4500.

Now, when tons of sugar is 17 we'll simply replace S with 17.

∴ C = 250(17) + 4500.

C = 4250 + 4500.

C = 8750.

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Answer:

Translation, rotation and reflection

Step-by-step explanation:

please brainliest <3

Work Shown:

The outcomes of the cube are {1,2,3,4,5,6}. The outcomes less than 3 are {1,2}. We have 2 outcomes we want out of 6 total, so the probability of getting an outcome less than 3 is 2/6 = 1/3.

The probability of landing on a consonant is 3/4 because there are 3 consonants and 3+1 = 4 letters total

Multiply the two probabilities: (1/3)*(3/4) = (1*3)/(3*4) = 1/4

The probability of getting a dice roll less than 3, and getting a consonant on the spinner, is 1/4.

Using it's concept, it is found that the probability that Riley rolls a number less than 3 and lands on a consonants is given by: [tex]\frac{1}{4}[/tex].

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem:

The events are independent, hence the probability of both is given by:

P(A and B) = P(A) x P(B) = 1/3 x 3/4 = 1/4.

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Answer:

Step-by-step explanation:

the answer is 25 not 5

The numeric value of x will be 25 for the given line segment.

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

Given the line segment AC

AC = AB + BC

Given,

AB = 2x + 10, BC = x, and AC = 5x,

So,

5x = 2x + 10 + x

5x = 3x + 10

2x = 10

x = 5

So,

AC = 5x

AC = 5(5) = 25 units.

Hence, The numeric value of x will be 25 for the given line segment.

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Answer:

{2, 4}

Step-by-step explanation:

Intersection of given sets would be {2,4}.

Answer:

C) {2,4}

Step-by-step explanation:

C) {2,4}

The union would be all of them.  The intersection are the ones they have in common.

Answer:

[tex] \boxed{ \bold{ \boxed{ \sf{ {x}^{4} + 3 {x}^{3} - 9 {x}^{2} - 12x + 20}}}}[/tex]

Step-by-step explanation:

[tex] \sf{( {x}^{2} - 4)( {x}^{2} + 3x - 5)}[/tex]

Use distributive property

[tex] \dashrightarrow{ \sf{ {x}^{2} ( {x}^{2} + 3x - 5) - 4( {x}^{2} + 3x - 5)}}[/tex]

[tex] \dashrightarrow{ \sf{ {x}^{4} + 3 {x}^{3} - 5 {x}^{2} - 4 {x}^{2} - 12x + 20}}[/tex]

Collect like terms

[tex] \dashrightarrow{ \sf{ {x}^{4} +3 {x}^{3} - 9 {x}^{2} - 12x + 20}}[/tex]

Hope I helped!

Best regards! :D

Answer:

25 degrees

Step-by-step explanation:

20 - (-5)

negatives  cancel out

20+5 = 25

:D

Answer:

8.55x10^5 in scientific notation

Answer:

8.55 × 10^5

Step-by-step explanation:

855000 = 855 × 10³

8.55 × 10² × 10³

8.55 × 10²+³

8.55 × 10^5

Answer:

x = -72/17

Step-by-step explanation:

(2/3)*x+(1/2)*x+(1/4)*x+6 = 0

17/12*x+6 = 0 // - 6

17/12*x = -6 // : 17/12

x = -6/17/12

x = -72/17

x = -72/17

Answer:

Step-by-step explanation:

Let's calculate 10 pi.

1 pi is about 3.14.

10 pi should be about 31.4.

-31 to -1 is 31 integers.

1 to 31 is 31 more integers.

0 is 1 integer.

31 + 31 = 62

62 + 1 = 63

Hope this helped!

I'm sorry if I misunderstood.

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Answer:

y = 4/5x

Step-by-step explanation:

We know it's not y = x - 2 because if you plug x into the equation, it works for the first one, but not the second one. Ex: 10 - 2 = 8 but 5 - 2 = 3 not 4.

We also know that it can't be y = -5/4x because if you plug x into that equation, it does not equal y.

y = 4/5x because when you plug x into the equation it works.

TLDR basically you just plug x into the equations.

Answer:

She is wrong because the answer is 5 and that is rational

Step-by-step explanation:

Answer:

5x - 35

Step-by-step explanation:

Apply the distributive property. That means to multiply the number on the outside of the perenthesis with each of the numbers inside the perenthesis.

Answer:

a) n/4 - 8

Step-by-step explanation:

A quotient is an answer to a division equation, in this case, is n/4

Answer:

1.91%

Step-by-step explanation:

Answer:

The selling price of the house is $144,681

Step-by-step explanation:

The computation of the selling price of the house is shown below:

Let us assume the selling price be x

So, the commission would be 0.06x

Now the danny would received

= x - 0.06x

= 0.94x

And, the amount received is $136,000

So equate this value

Like this

0.94x = $136,000

x = [tex]\frac{\$134,000}{0.94}[/tex]

= $144,681

Hence, the selling price of the house is $144,681

Answer:

Hi, there my name is 1frogaroni and I will be helping you out today!

Step-by-step explanation:

The answer to your question is 10.02.

2.8+7.22

=2.8+7.22

=10.02

You must simplify. if this helped I would be happy to get brainliest in order for me to rank up.

Have a great day!

Answer:

A

Step-by-step explanation:

let r represent rate and d distance.

Given that r varies directly as d² then the equation relating them is

r = kd² ← k is the constant of variation

To find k use the condition r = 4 when d = 15, then

4 = k × 15² = 225k ( divide both sides by 225 )

k = [tex]\frac{4}{225}[/tex]

r = [tex]\frac{4}{225}[/tex] d²  ← equation of variation

When r = 9, then

9 = [tex]\frac{4}{225}[/tex]d² ( multiply both sides by 225 )

2025 = 4d² ( divide both sides by 4 )

506.25 = d² ( take the square root of both sides )

d = [tex]\sqrt{506.25}[/tex] = 22.5 = 22 [tex]\frac{1}{2}[/tex] → A

Answer:

I’ll tell you that the answer is NOT l, ll, and lll

Step-by-step explanation:

Answer: 298.8 seconds

Step-by-step explanation: 4.98*60=298.8

Answer:

298.8

Step-by-step explanation:

4.98x60=298.8 so you have been understand

Answer:

Her deduction is 10%, or 0.85

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

The delivery person can take 24 boxes of books up the elevator at one time. This was my process:

(1140-150) / 40

990 / 40

24.75

But you cannot have three quarters of a box so the final answer would be 24.

Answer:

a)3C b)27C

Step-by-step explanation:

a) 6hours*3degrees=18 degrees

15-18=3C

b)15+12=27C