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BlackZzzverrR [31]
3 years ago
15

One angle of a triangle is 50 degrees greater than the smallest​ angle, and the third angle is 10 degrees less than twice the sm

allest angle. find the measures of the three angles.
Mathematics
2 answers:
GarryVolchara [31]3 years ago
7 0
By the Triangle Angle-Sum theorem, the angles of a triangle add up to 180, no matter what kind of a triangle it is.  Now we just have to determine how to identify each angle according to the info we have.  It looks like all 3 angles are dependent upon the measure of the smallest angle, so we will call the smallest angle x.  The second angle is 50 degrees more than the smallest, so the second angle is x + 50.  The third angle is 10 degrees less than 2 times the smallest angle, so the third angle is 2x-10.  We will add all those together and set them equal to 180.  x+x+50+2x-10=180.  Combining like terms we have 4x+40=180, and 4x = 140.  x = 35.  So the smallest angle measures 35.  The second one is 50 more, so the second one is 85.  The third one is 10 less than twice the smallest, so the third angle is 60.  Add those results together and make sure they come to 180.  They do!
tia_tia [17]3 years ago
6 0
All 3 angles of a triangle must equal to 180. You can simply set up an equation to solve this and set it equal to 180.

Angle 1 - 50 + x
Angle 2 - x
Angle 3 - 2x -10

50+x+x+2x-10=180
4x+40=180
4x=140
x=35

Angle 1 = 50+35= 85
Angle 2 = 35
Angle 3 = 2(35) - 10 = 60

60+35+85=180

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True [87]

Answer:

The ratio between won and lost is \frac{7}{4}

Step-by-step explanation:

<u><em>The question in English is</em></u>

A table tennis team won 21 games and lost 12 games, what is the ratio between won and lost?

Let

x ------> the number of games won

y -----> the number of games lost

we have

x=21\ games

y=12\ games

we know that

To find the ratio divide the number of games won by the number of games lost

so

\frac{x}{y}

substitute the values

\frac{21}{12}

Simplify

\frac{7}{4}

4 0
3 years ago
What is 74 divided by 9??
Rama09 [41]
Its 8.22.. the 2 repeats
3 0
3 years ago
Your boss gave you a raise. Your weekly salary went from $375 to $450. What was your percent raise?
Yuri [45]
<span>1. Find the difference
2. Divide the difference by the original number it went up from.
</span>
450-375 = 75

75/375 = 0.2

You got a 20% raise.

Proof:
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375+75 = 450
3 0
3 years ago
How much is the percent change if the price was $75 and now it is $300?
ale4655 [162]

Answer:

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Step-by-step explanation:

300 is 400 percent of 75.(75x4 is 300.) Therefore, the percent change is

400 - 100 = 300.

6 0
3 years ago
HELP ASAP PLZ
WARRIOR [948]
You can use the formula to solve for the y-values in the table. Insert the x-value into the equation: y = 2x - 2

(ex. y = 2(1)-2)

So..

x | y

0 | -2

1 | 0

3 | 4

5 | 8

8 | 14

10 | 18

[First time answering on Brainly so I accidentally commented the answer instead. Don’t know how to delete the comment but anyways, I hope my response helped you!]
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3 years ago
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