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

Answers

Answer 1

Answer:

32+78+x=180

Step-by-step explanation:

All triangle angles add up to 180, so add 78 and 32 then subtract it from 180 to get x, which in another form is 32+78+x=180.

Answer 2

Answer:

32 + 78 + x = 180

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180, that is

32 + 78 + x = 180


Related Questions

Joseph said that a rhombus with side lengths of 6 meters and a height of 4 meters has the same area as a parallelogram with a base of 12 meters and a height of 2 meters. Is he correct? Critique Joseph's reasoning. help plzz​

Answers

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

He was not correct because well… it’s obvious

PLEASE HEEELPPP 15 POINTS PLESSEE

Answers

Answer:

200.96 yd^2

Step-by-step explanation:

Area of a circle = πr^2 where r = radius

radius = diameter/2

radius = 16/2

radius = 8

Area = π(8)^2

Area = π64

Area = 200.96 yd^2
area = 3.14r^2
16 yd / 2 = r = 8

area = 3.14(8)^2
= 3.14(64)
= 200.96 yd^2

Find the simple interest on \$5,000 at 4% interest for 3years.

Answers


As SI =PTR/100
SI=600$
600 hope this helps :)

1. Rút gọn biểu thức A(x) = (x+2)(x+3)(x+5) - (x-1)(x+4)(x+7). Từ đó tìm tất cả các giá trị x sao cho A(x) = 0.

Answers

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

at McDonald's, you get a $1 coupon for every 3 fries you buy. What is the least number of fries you could buy in $10 in coupons?

Answers

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: 10 x 3 = 30
1 coupon= 3
10 coupon= 30

Please help


Quadrilateral ABCD is a parallelogram. Let E be a point on AB, and let F$\ be the intersection of lines DE and BC The area of triangle EBF is 1, and the area of triangle EAD is 9. Find the area of parallelogram ABCD.

Answers

Answer:

24

Step-by-step explanation:

It is 24
Hope this is correct

In triangle JKL, JKL is a right angle, KM and is an altitude. JL=20 and ML=15, find KL

Answers

Answer:

KL = 17.32

Step-by-step explanation:

KL² = (M L)(J L)

KL² = (15)(20)

KL²=300

√KL²= √300

KL = 17.32

a - 6 - 6a = 4

find the value of a

Answers

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

I don't understand this math question! The pictures provided and I'd love if someone can explain it to me

Answers

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:

I'm always forgetting how to do mean absolute deviation. Can someone remind me what the process is please?

Answers

i hope that helps. :)

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:

The table shows the length and width of Florida at its most distant points.

Determine the prime factorization of the length . Use "^" for the exponent and "x" for the multiplication.

Measurement. Distance (mi)

Length. 500

Width. 160

An example of prime factorization is the following:

Find prime factorization of 50.

1st find the factors of 50 until you only have prime numbers.

1x50

2x25=2x5x5

So the prime factorization of 50 is: 2x5^2

Answers

Answer:

5*10^2

Step-by-step explanation:

Length = 500

500= 5 *100

100=10^2

500= 5 *10^2

5*10^2 hope it helps!!

Evaluate this expression if x = -4, y = 5, and z = -13.

x - (-z)

Answers

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]

What is the missing number in the input output table
Input: 3, 5, ? 17
Output: 16, 22, 31, 58

Answers

Answer:

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

3, 5 , 7 , 9
good luck !

Determine whether each sequence is a geometric sequence. If yes, then state the common ratio.
5, 10, 15, 20,...

Answers

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

What is the Leading Coefficient of 3x^6-2x^9+5x-12 when written in Standard Form?
ASAP!!!!

Answers

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

-2 because I used parentheses and it made it a whole lot easier some nice advice if you like in class try to put parentheses a little more most people in my class don’t use it but it make hard stuff way easier have a nice day

find three consecutive integers for which 3 times the sum of the first and third integers is -342? show step by step

Answers

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.

solve the following equation. answer in terms of a mixed number. 7(2x+6)=1

Answers

Answer:

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

7(2x+6)=1
14x+42=1
14x=1-42
14x=-41
x=-41/14
=-2 13/14

In triangle JKL, JKL is a right angle, KM and is an altitude. JL=25 and JM=5, find KM

Answers

Answer:

50

Step-by-step explanation:

What is the value of the independent variable at point A on the graph?

Answers

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.

What is Independent Variable?

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:

https://brainly.com/question/29430246

#SPJ2

1. 4 < 7 Multiply both sides by 3, then by 2, then by 4, then by 9

2. 11 > -2 Add 3 to both sides, then add 3, then add (-4)

3. -2 < -2 Subtract 6 from both sides, then 8, and then 2

4. -4 < 8 Divide both sides by -4, then by -2

5. Write a short explanation of the effects of the above operations. Did this affect the inequality sign? Was it still true? Why or why not?

Answers

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

Rewrite using a negative exponent.

1/3^2

Answers

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:

i have 30 coins. some of them are dimes, and some of them are quarters. in total, i have $4.05. how many of each coin do i have?

Answers

Answer: 23 dimes & 7 quarters

Step-by-step explanation:

Dimes = 10¢ = $0.10Quarters = 25¢ = $0.25Number of dimes = xNumber of quarters = y

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.

How to convert dimes to dollars?

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.

To learn more about equations visit:

https://brainly.com/question/2263981.

#SPJ5

A group of 5 friends went to a baseball
game and spent a total of $93.75. If the
total money spent was divided evenly, how
much did they each spend?

Answers

Answer:

They each spent 18.75.

Step-by-step explanation:

Divide 93.75 by 5.

18.75 divide 93.75 by 4

Fill in the blanks.

(image attached)

Answers

Add 14 to each side to undo the negative 14/negative sign. divide each side by 6 to undo the 6x, simplify=5

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:

If x is an integer, what is the least possible value for x that satisfies the inequality?

-5x - 12 < 33

A. -10
B. -9
C. -8
D. 9
E. 10

Answers

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.

The answer is none other than c witch is -9

Simplify -4|-5| - [2(-17)]

1. 54
2. 14
3. -14

Add an explanation on how you got the answer

Answers

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

Answer:

1 . 54

Step-by-step explanation:

Each floor of a parking garage can hold 90 cars. When all of the floors are full, there are 450 cars in the garage altogether. What fraction of the cars is parked on the ground floor?

Answers

90 cars out of 450

90 / 450 = 1/5

I guess the number of floors is 5

There would be 5 floors

POINTS IF HELP!!! Please help me?

Answers

2.24 should be correct
i think it is 2.24 !!!!!!!

Help me pleaseeeeeee

Answers

Answer:

B

it's a recurring number therefore it's irrational

The answer is B I believe

Mr. Jack conducted a survey among the students in his class to see what the most popular color was. The results of his survey are displayed in this table. Which statistic(s) can be used to represent the most popular color? A. the mean B. the median C. the mode D. the median and the mode

Answers

Answer:

i guess that was

C

ITS ATTICUS

Answer:

the answer is c

Step-by-step explanation:

hope it helps pls give brainliest

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