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zysi [14]
2 years ago
8

Help! I need to know how to solve this

Mathematics
1 answer:
bagirrra123 [75]2 years ago
7 0
Every triangle measures 180 degrees.
In order to get the answer you need to add every equation and set it equal to 180.

2x+4+2x-9+x=180
Combine like terms.
5x-5=180
Add 5 to the other side.
5x=185
Divide by 5.
x = 37

Now, plug 37 in for every x.
Angle A: 2(37)-9
Angle B: 2(37)+4
Angle C: 37

The measures are:
Angle A = 65
Angle B = 78
Angle C = 37

Hope this helps!
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Due to a membership drive for a public television station, the current membership is 125% of what it was a year ago. The current
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x(1.25)=1200

\frac{x(1.25)}{1.25}=\frac{1200}{1.25}

x=960
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2 years ago
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Your little cousin will have a big animal-themed birthday party and you will help with the goody bags. Each bag will have a penc
Bas_tet [7]

Using the least common factor, it is found that:

  • a) 60 packages should be bought.
  • b) There will be 5 filled goody bags.

<h3>Least Common Factor:</h3>
  • The sizes of the packages are: 10, 6, 15 and 12.
  • To fill each bag and have no left-overs, the number of packages is the <u>least common factor</u> of these amounts.
  • The least common factor is found factoring the numbers into prime factors.

Item a:

10 - 6 - 15 - 12|2

5 - 3 - 15 - 6|2

5 - 3 - 15 - 3|3

5 - 1 - 5 - 1|5

1 - 1 - 1 - 1

Hence, lcf(10,6,15,2) = 2 x 2 x 3 x 5 = 60.

60 packages should be bought.

Item b:

Goody bags are in packages of 12, hence:

60/12 = 5.

There will be 5 filled goody bags.

To learn more about the least common factor, you can take a look at brainly.com/question/24873870

6 0
2 years ago
HELP NOW!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11 Water boils at 212 degrees __________ A. Ce
34kurt
<span>alright it would have been easier if u took a pic but i think its a matching prob with choices A thro F:

Water boils at 212 degrees __________
 
A. Celsius Incorrect

Water boils at 100 degrees _________

B. Kelvin Incorrect

Water boils at 373 _______

C. Thermal Equilibrium Incorrect

Temperature at which all kinetic energy stops

D. Thermal Energy Incorrect

Reached when 2 objects have the same temperature

E. Absolute zero Incorrect

Sum of all kinetic energy and potential energy in an object's particles

F. Fahrenheit



So here are the correct matches:

</span>Water boils at 212 degrees __________F. Fahrenheit
 
Water boils at 100 degrees _________ A. Celsius

Water boils at 373 _______ B. Kelvin

Temperature at which all kinetic energy stops______E. Absolute zero 

Reached when 2 objects have the same temperature ________C. Thermal Equilibrium

Sum of all kinetic energy and potential energy in an object's particles _____ D. Thermal Energy


7 0
3 years ago
Triangle X Y Z is shown. Angle X Z Y is a right angle. Angle Z X Y is 60 degrees and angle X Y Z is 30 degrees. The length of hy
Serjik [45]

*See attachment for the diagram

Answer:

Tan 60 = √3

Step-by-step explanation:

Recall: SOHCAHTOA

Thus,

Tan 60 = Opp/Hyp

From the diagram given,

Opp = YZ = ?

Hypotenuse = XY = 42

Find the length of YZ using Pythagorean Theorem:

YZ = √(42² - 21²) = √1,323

YZ = √(441 × 3) = 21√3

✔️Find Tan(60):

Tan 60 = Opp/Hyp = YZ/XY

Tan 60 = (21√3)/21

Tan 60 = √3

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2 years ago
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Determine a polynomial that represents the area of the parallelogram.<br> A=
sp2606 [1]

Answer:

4b² - 16

Step-by-step explanation:

The formula to find the area of a parallelogram equals bh, where b = base and h - height. We're given the base as 2b + 4 and the height as 2b - 4.

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  • 4b^2-8b+8b-16
  • 4b^2-16

Therefore, the answer is 4b² - 16.

6 0
1 year ago
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