Two angles in a triangle measure 102° and 54º. What is the measure of the third angle?

Answers

Answer 1

Answer:

24°

Step-by-step explanation:

The sum of all interior angles of a triangle always equal to 180°.

There are two givens in the problem. Set up the equation by equaling 180 to the two given angles and the unknown.

[tex]180 = 102 + 54 + x\\180 = 156 + x\\[/tex]

Isolate x by subtracting 156 to both sides.

[tex]180 - 156 = 156 - 156 + x\\x= 180-156\\x=24\\[/tex]


Related Questions

Help pls.......asap i have 2 minuets

Answers

Answer:

It would be 3 1/2!

Step-by-step explanation:

Because it is X by Y (Usually) AKA bottom row to side row so, it is in the middle of 3 and 4 so it would be 3 1/2!

Answer:

( 3, 3.5) or 3 1/2

Step-by-step explanation:

The cordinate is ( 3, 3.5) but if it has a fraction form like your question had all you want to do is convert 3.5 into a fraction. 3.5 into a fraction is 3 1/2 the 0.5 becomes 1/2 and the 3 is a 3. So the answer is 3 1/2 or ( 3, 3.5).

What is the volume of a cylinder with a
height of 18.5 m and a base with a
diameter of 5.2 m, to the nearest tenth of a
cubic meter?

392.9 m^3 is the real answer

Answers

Answer:

Yes it is is 392.9 m^3

Step-by-step explanation:

Volume of cylinder is π*r^2*h, π times radius squared times height.

Since the diameter is 5.2, the radius is 2.6 (half of it). 2.6^2 = 6.76, and the height is 18.5, 6.76*18.5 = 125.06. Multiply it by pi to get 392.887577258, round it to 392.9, The volume is 392.9 cubic meters.

HELP ME PLEASEEEEEEEEEEEEEEEE

Answers

Answer:

52

Step-by-step explanation:

break down the shapes into simpler ones

do base X height for both

add both

Answer:

52cm^2

Step-by-step explanation:

Split the figure into 3 rectangles or squares and find the area of the individual shapes, add all the areas together and you should get 52cm^2

8y - (5y + 13 ) = -7​

Answers

Answer:

y=2

Step-by-step explanation:

8y-5y-13=-7

3y-13=7

3y=-7+13

3y=6 /3

y=2

4. Paolo is filling a cylindrical water bottle. Unfortunately it is too big to fit in the sink he is filling up at so he has to use cone cups to fill up the bigger water bottle. The cone cups have a radius of 1 in, and a height of 3 in. how many cone cups would it take to fill the cylindrical water bottle?​

Answers

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, we need to be given the dimensions of the big cylindrical water bottle. Let us assume, that the big bottles has a dimension of radius 3 in and height 5 in.

Solution:

Firstly, we need to find the volume of the big cylindrical bottle, then we find the volume of the small cone.

Volume of the cylindrical bottle = πr²h = π(3²)5 = 45π in³

Volume of the small cone = πr²h/3 = π(1²)(3/3) = π in³

Therefore the number if cups required to fill the water bottle is the ratio of the volume of the cylinder to the volume of the small cone. Hence:

number of cone cups = 45π in³ / π in³ = 45 cups

Hence 45 cups of the cone would be needed to fill the cylindrical bottle

make k the subject of the relation ky-k=y^2​

Answers

Step-by-step explanation:

ky - k = y^2

ky - k ÷ y = y^2 ÷ y

k = y

how much normally is retaking a high school class?

Answers

Answer:

What do you mean?

Step-by-step explanation:

Which expression is shown on the number line?

Answers

Answer: i think its e

Step-by-step explanation:......

Answer:

no.A 5/3÷×1/3 is the answer

Simplify the expression

6:3x4

Answers

Answer:

8

Step-by-step explanation:

6:3=2

six divided by three equals four (hence the ratio)

2*4=8

two times four equals eight.

Kevin and Doreen each made a fruit salad. The amounts of ingredients they have are shown. Kevin used all of the​ strawberries, blueberries, and melon to make his fruit salad. Doreen made 2 cups of fruit salad containing all of the​ bananas, peaches and apples. How much fruit salad did Kevin​ make? How much more fruit salad did Doreen make than​ Kevin?

Answers

Answer:

The first thing you should do for this case is to graph the data you have in the statement to see the relationship between grapes and blueberries.

The function represented by the table is

y = 0.25x

Then, as Mandie is making 15 glasses of fruit salad, we have:

y + x = 15

We have two equations and two unknowns that we must solve.

y = 0.25x

y + x = 15

Resolving

For x:

0.25x + x = 15

1.25x = 15

x = 15 / 1.25 = 12

For y:

y = 0.25x = 0.25 (12) = 3

Answer

The ratio of grapes to blueberries she should use is 12: 3

Suppose a call center receives 4000 calls on average during their Friday evening shift. Next Friday several people have put in for time off, so the center will be staffed by 178 call center employees. When working continuously, the average call center employee can handle 22 calls per evening shift (with a standard deviation of 5 calls). Assuming the center receives its expected 4000 calls next Friday, what is the probability that the center will have enough employees to handle this call volume

Answers

Answer:

The probability that the center will have enough employees to handle this call volume is 0.2764

Step-by-step explanation:

Probability is defined as the ratio of favorable outcomes to the total number of outcomes.

Here the total mean expected number of outcomes=u = 4000

The favorable  expected outcomes are = x= 22* 178= 3916

The  standard deviation= σ= 5

The random variable X =178 has normal distribution with mean 4000/22 and standard deviation 5

So z= x-u/σ

Z= (3916-4000)/22/5

z= -0.764

From the table of areas under normal curve

P (  x= 3916)=  P( -0.764 ≤ Z≤ 0)

P (  x= 3916)=  0.2764

The probability that the center will have enough employees to handle this call volume is 0.2764

Tessellations

Find the coordinates of quadrilateral PQRS with vertices P(1, 4), Q(-1,4), R(-2, -4) and
S(2, -4) under the translation (x,y) ⇒ (x-5,y+3)

a. P' (-4, 7), Q' (-6, 7), R' (-7, -1) and S' (-3, -1)
b. P' (6, 7), Q' (4, 7), R' (3, -1) and S' (7, -1)
c. P' (-4, 1), Q' (-6, 1), R' (-7, -7) and S' (-3, -7)
d. P' (6, 1), Q' (4, 1), R' (3, -7) and S' (7, -7)

Please select the best answer from the choices provided

Answers

Answer:

A. P' (-4, 7), Q' (-6,7), R' (-7, -1) and S' (-3, -1)

Step-by-step explanation:

I calculated it logically

large pies cost $5 and small pots cost $2. If $45 pies were sold for $120 how many small pies were sold​

Answers

Answer:

I'm assuming that's supposed to just be 45, not $45

Step-by-step explanation:

35 small pies were sold

10 large pies = $50

35 small pies = $70

50 + 70 = 120

ieadfjhnvlkadfsjnglkjvhndkjlfnvba;jdkfnvkl;jn help please

Answers

Answer:

A.

Step-by-step explanation:

It's the closest one to the answer, The answer I got is - 4;2

A pair of dice was rolled many times
and the results appear below. Based
upon these results, what is the
experimental probability of rolling a 2?
Outcome
2
3
3
4
5
6
7
8
9
10
11
12
Frequency
3
6
00
11
14
16
15 12
9
5
1
The percent probability is = [ ? ]%
Round to the nearest percent.
Enter

Answers

I think that would be 16

PLEASE HELP I WILL GIVE BRAINLIEST (seven grade math)
On a Saturday morning,
Meaghan measured the temperature
and found a 5 degree increase An
hour later, the temperature
increased by another degree When a rain storm came through, the temperature dropped 6 degrees. What is the difference between the
temperature in the morning and the temperature after the rainstorm?

Answers

Answer:

Step-by-step explanation:

In the morning it was six degrees because you added that one other degree. But when it started raining it dropped down 6 degrees which will make it 0

Question 11 of 20: Select the best answer for the question. 11.

Given gross sales of $50,000, sales returns and allowances of $6,000, beginning inventory of $4,000, net purchases of $8,000, ending inventory of $2,000, and operating expenses of $4,500, calculate net income.
A. $32.500
B. $28,550
C. $29.500
D. $30,570​

Answers

Answer: $29500

Step-by-step explanation:

Given the information from the question, the net income will be calculated as:

Net sales = Gross profit - sales returns and allowances

= $50000 - $6,000

= $44000

Gross profit = Net sales - Cost of goods sold

= $44000 - $10000

= $34000

Net income = Gross profit - Operating expense

= $34000 - $4500

= $29500

How much is 331 ft in meters?

Answers

it would be 100.889, darling. hope this helps. <3

Solve the simultaneous equations
y = 3 – 2x
x2 + y2 = 18
Show clear algebraic working.

Answers

(

x

,

y

)

=

(

3

5

,

4

1

5

)

or

(

x

,

y

)

=

(

3

,

3

)

Explanation:

Given

[1]

XXX

y

2

x

=

3

[2]

XXX

x

2

+

y

2

=

18

Re-writing [1]

[3]

XXX

y

=

2

x

+

3

Substituting

(

2

x

+

3

)

from [3] for

y

in [2]

[4]

XXX

x

2

+

(

2

x

+

3

)

2

=

18

Simplifying

[5]

XXX

x

2

+

4

x

2

+

12

x

+

9

=

18

[6]

XXX

5

x

2

+

12

x

9

=

0

Factoring

[7]

XXX

(

5

x

3

)

(

x

+

3

)

=

0

x

=

3

5

or

x

=

3

case 1:

x

=

3

5

Substituting

3

5

for

x

in [3]

XXX

y

=

2

(

3

5

)

+

3

=

4

1

5

case 2:

x

=

3

Substituting

(

3

)

for

x

in [3]

XXX

y

=

2

(

3

)

+

3

=

3

Pls help

Zzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

d po yung answer

Step-by-step explanation:

sana makatulong

Josh likes to play an outdoor beanbag toss game in his spare time. On any toss, he has about a 30% chance of getting a bag into the hole. As a challenge one day, he decides to keep tossing beanbags until he makes it. Starting on line 5 of the random number table, how many times does Josh have to toss the beanbag in order to make it in the hole if we let success = 0–2 and failure = 3–9?

Answers

Answer:

B

Step-by-step explanation:

Write ONLY your numeric answer. You do not need the degree symbol.
B
E
310
D
с
Find mZDEC.

Answers

180 - 31 - 31 = 118°

Answer:

118

Step-by-step explanation:

All angles inside a triangle add up to 180. D and C is the same. 31 x 2 = 62

180 - 62 = 118


HELP

What is the equation of the trend line in the scatter plot ?

Answers

Yo bro I need food give six seven

What is the value of x?
A) Impossible to determine
B)62°
C)56°
D)76°

Answers

The answer would be 62°

larry runs his heater when the temperature, t is no more than 70f

A- t<70
B- t>70
C t ≤ 70
D t ≥ 70

Answers

Answer:

its d i think bc i had that on my quizz

Step-by-step explanation:

Solve for x in the triangle below. Round your answer to the nearest tenth. Help please

Answers

Step-by-step explanation:

sin theta =p/h

sin 42=x/13

0.66×13=x

x=8.69

stay safe healthy and happy.

A bus makes a stop at 2:30, letting off 10 people and letting on 3. The bus makes another stop ten minutes later to let off 2 more people. How does the number of people on the bus after the second stop compare to the number of people on the bus before the 2:30 stop?

Answers

1 person is still
on the bus

32. [Problem Solving 2] *
On Martha's 9th birthday, her mother
made a cake which had the digits 0 to 9
around the edge in red icing. Using the
guidelines below, her mother cut the
cake into 3 pieces so that the numbers
on each piece added to the same total.
Mark the cuts. What fraction of the
whole cake was the largest piece?

Answers

Answer:

The three pieces will have the following set of numbers

(9,6,0)  (8, 4,3), (7,5, 1,2)

Step-by-step explanation:

Given,

Martha's mother has marked the cake into 10 equal pieces starting from 0 t0 9

Now, she divided the cake in a manner that sum of digits on each of the three pieces is equal

0,1,2,3,4,5,6,7,8,9

(9,6,0)  (8, 4,3), (7,5, 1,2)

Hence the three pieces will have the following set of numbers

(9,6,0)  (8, 4,3), (7,5, 1,2)

Help please!!!!!! As soon as possible

Answers

(-3,2) for middle and 4 for radius. Radius is the distance from the center to the circle. So you can count with the units on the grid. Hope this helps!!

?????????????????????????

Answers

Answer:

Interest earned = $32.835

Step-by-step explanation:

Given the following data;

Principal = $275

Number of times = 0.5

Interest rate = 2.9% = 0.029

Time = 4 years

To find the interest earned, we would use the compound interest formula;

[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

n is the number of times the interest is compounded in a year.

t is the number of years for the compound interest.

Substituting into the equation, we have;

[tex] A = 275(1 + \frac{0.029}{0.5})^{0.5*4}[/tex]

[tex] A = 275(1 + 0.058)^{2}[/tex]

[tex] A = 275(1.058)^{2}[/tex]

[tex] A = 275(1.1194)[/tex]

A = $307.835

Interest earned = 307.835 - 275

Interest earned = $32.835

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