The measures of two angles in a triangle are 32o and 78o. Which of the following equations could be used to find the measure of the third angle, x?
(the ¨o¨ is a degree symbol)


180−32+78=x


180−32=x−78


180−(32+782÷2)=x


32+78+x=180

x = -29/7

Step-by-step explanation:

A(x) = (x^2 + 5x + 6)(x + 5) - (x^2 + 3x - 4)(x + 7)

= (x^3 + 10x^2 + 31x + 30) - (x^3 + 10x^2 + 17x - 28) = 14x + 58

A(x) = 0 => 14x + 58 =0 => x = -58/14 = -29/7

Answer:

778744

Step-by-step explanation:

387t98878989890

Answer:

input is 3 5 9 17 so hope you get the answer thanks

Answer:

24

Step-by-step explanation:

Answer:

[tex]7(2x + 6) = 1 \\ 14x + 42 = 1 \\ 14x = - 41 \\ x = - 2 \frac{13}{14} [/tex]

Answer:

They each spent 18.75.

Step-by-step explanation:

Divide 93.75 by 5.

Answer:

Take each number in the data set, subtract the mean, and take the absolute value. Then take the sum of the absolute values. Now compute the mean absolute deviation by dividing the sum above by the total number of values in the data set. Finally, round to the nearest tenth.

Step-by-step explanation:

Answer:

C. -8

Step-by-step explanation:

We have to solve the inequality by isolating x.

-5x - 12 < 33

Add 12 to both sides.

-5x < 45

Divide both sides by -5 (remember to flip the sign when dividing by a negative).

x > -9

The least possible value for x that satisfies this inequality is -8.

Answer:

B

it's a recurring number therefore it's irrational

Answer:

Hello,

Step-by-step explanation:

The first number is

[tex]\dfrac{8}{12}[/tex]

The second number is

[tex]\dfrac{9}{12}[/tex]

Their sum is:

[tex]\dfrac{8}{12} +\dfrac{9}{12} =\dfrac{8+9}{12}=\dfrac{17}{12}[/tex]

Answer:

67

Step-by-step explanation:

Answer: The integers are -58, -57, -56.

Step-by-step explanation:

The difference between two consecutive integers is 1.

If you let the smallest of the three consecutive integers equal x, then the next greater one is x + 1, and the greatest of the three is x + 2.

Integers: x, x + 1, x + 2

The sum of the first and third is: x + x + 2

3 times the sum of the first and third is: 3(x + x + 2)

That product equals -342.

3(x + x + 2) = -342

3(2x + 2) = -342

Divide both sides by 3.

2x + 2 = -114

Subtract 2 from both sides.

2x = -116

Divide both sides by 2.

x = -58

x + 1 = -57

x + 2 = -56

The integers are -58, -57, -56.

Answer:

1. 864 < 1512

2. 12 > 0

3. question 3 is wrong -2 = -2

4. -0.5 < 1

5. In the above operations, they did not effect the inequality sign because the same operation is being done to both sides, therefore the inequality sentences all remained true.

Step-by-step explanation:

1. (3)(4) < (7)(3)

(2)12 < 21(2)

(4)24 < 42(4)

(9)96 < 168(9)

= 864 < 1512

2. 3+11 > -2+3

3+ 13 > 1 + 3

-4+16 > 4-4

= 12 > 0

3. -2 = -2 (question 3 is wrong)

4. -4/-4 < 8/-4

1/-2 > -2/-2

= -0.5 < 1

Answer:

6

Step-by-step explanation:

The independent value refers to the x values of a graph. Point A is located at (6, 3). Therefore, the value of the independent variable is 6.

The value of the independent variable at point A on the graph is 6.

The cause is the independent variable. Its value is unaffected by the other study variables.

In an experimental study, an independent variable is one that you change or alter to examine its effects. It is named "independent" because it is unaffected by any other study variables.

Given:

We have two quantities from the graph one is mass in grams and another is time.

as, the masses totally depends on growth of bay with time.

So, the dependent variable is Mass and independent  variable is Time.

Now, the coordinates for Point A is (6, 3).

Hence,  the value of point A is 6.

Learn more about Independent variable here:

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Answer:

i guess that was

ITS ATTICUS

Answer:

the answer is c

Step-by-step explanation:

hope it helps pls give brainliest

Answer:

-2

Step-by-step explanation:

a - 6 - 6a = 4

a-6a=10

-5a=10

a=10/-5

a=-2

Answer:

a = -2

Step-by-step explanation:

Add like terms:

a - 6 - 6a = 4

-5a - 6 = 4

Solve for a:

-5a = 10

a = -2

So, a = -2

Answer:

-17

Step-by-step explanation:

x - (-z)

Subtracting a negative is like adding

x+z

x = -4 and z = -13

-4 + -13

-17

Answer:

[tex]-17[/tex]

Step-by-step explanation:

Step 1:  Evaluate the expression

[tex]x - (-z)[/tex]

[tex]-4 - (-(-13))[/tex]

[tex]-4 - (13)[/tex]

[tex]-4 - 13[/tex]

[tex]-17[/tex]

Answer:  [tex]-17[/tex]

54 is the answer of -4(-5)-(2(-17))

Answer:

1 . 54

Step-by-step explanation:

Answer:

Area(s) of both rhombus and parallelogram are equal at 24 meters squared. Therefore Joseph had the correct reasoning in regards to area(s) of both rhombus and parallelogram are equal at 24 meters squared.

Step-by-step explanation:

To equate area of the rhombus, multiply the side length and height of rhombus in meters. (6 meters×4 meters=Area of 24 m°2). Area of parallelogram = (12meters ×2 meters= 24 m°2. Area(s) of both rhombus and parallelogram are equal at 24 meters squared. therefore

Answer:

Step-by-step explanation:

it is not a geometric sequence

Answer:

no

Step-by-step explanation:

Take the second  term and divide it by the first term

10/5 = 2

Take the third term and divide it by the second term

15/10 = 3/2

The ratio is not the same so it is not a geometric sequence

Answer:

Add 14 to each side to undo the -14. Divide both sides by 6 to undo the 6x, and  simplify to get 5.  

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

3x^6-2x^9+5x-12

Write from highest power of x to lowest power

-2x^9+3x^6+5x-12

The leading coefficient is the number in front of the highest power of x

-2

90 cars out of 450

90 / 450 = 1/5

I guess the number of floors is 5

Answer:

KL = 17.32

Step-by-step explanation:

KL² = (M L)(J L)

KL² = (15)(20)

KL²=300

√KL²= √300

KL = 17.32

Answer: 23 dimes & 7 quarters

Step-by-step explanation:

You can create two equations:

[tex]\left \{ {{x + y = 30} \atop {0.10x + 0.25y =4.05}} \right.[/tex]

Rearrange x + y = 30:

[tex]y=30-x[/tex]

Substitute it into the x-value of the other equation & solve:

[tex]0.10x + 0.25y =0.10x + 0.25(30-x)=4.05\\0.10x+7.5-0.25x=4.05\\0.10x-0.25x=4.05-7.5\\-0.15x=-3.45\\x=\frac{-3.45}{-0.15} =23[/tex]

With the x-value, substitute it back to the original equation to find y-value:

[tex]y=30-x=30-23=7[/tex]

Therefore, there are 23 dimes & 7 quarters.

There are 23 dimes and 7 quarters.

Given that, the total number of coins=30.

To convert dimes to dollars we need to multiply the number of dimes by 0.1.

Let the number of dimes be x, and then the number of quarters will be 30-x.

Now, x×0.1+(30-x)×0.25=4.05

⇒-0.15x=-3.45

⇒x=23

30-x=7

Hence, there are 23 dimes and 7 quarters.

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Answer:

1/9 or 3^-2

Step-by-step explanation:

Ignore the value of 1/3 for now and just focus on the 3^2.

Find 3^2:

3*3 = 9

Now 9 is the denominator, therefore our answer would be 1/9 once you reassemble the fraction.

Because 1/9 is our new fraction, we can use a negative exponent to create the same result. This is because the negative exponent rule tells us that a number with a negative exponent should be put to the denominator. Therefore we can then use 3^-2.

Answer:

3^-2

Step-by-step explanation:

Answer:

5*10^2

Step-by-step explanation:

Length = 500

500= 5 *100

100=10^2

500= 5 *10^2

Answer:

You must buy at least 30 fries to get 10 dollar ins coupons

Step-by-step explanation:

We can write a ratio to find the minimum

1 dollar            10 dollars

--------------- = -------------

3 fries                x fries

Using cross products

1 *x = 10 * 3

x = 30

You must buy at least 30 fries to get 10 dollar ins coupons

Answer:

50

Step-by-step explanation: