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aniked [119]
3 years ago
12

In a​ triangle, the measure of the first angle is twicetwice the measure of the second angle. the measure of the third angle is

80 degrees80° more than the measure of the second angle. use the fact that the sum of the measures of the three angles of a triangle is 180degrees° to find the measure of each angle.
Mathematics
1 answer:
LiRa [457]3 years ago
7 0
A = first angle, b = 2nd angle, c = 3rd angle

a = 2b
c = b + 80
a + b + c = 180

2b + b + b + 80 = 180
4b + 80 = 180
4b = 180 - 80
4b = 100
b = 100/4
b = 25 <=== 2nd angle

a = 2b
a = 2(25)
a = 50 <=== 1st angle

c = b + 80
c = 25 + 80
c = 105 <=== 3rd angle
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The product of three, and a number increased by seven, is -36 .. what is the number ?
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Answer:

Step-by-step explanation:

3(x+7)=-36

x+7=-12

x=-19

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3 years ago
Graph a line that contains the point (-5,-3) and has a slope of -2
Tpy6a [65]

Answer:

-->

Step-by-step explanation:

Graph (-5,-3) and use the slope, -2, to find another point. -2 can also be written as -\frac{2}{1}

\frac{rise}{run} =\frac{-2}{1} and  \frac{rise}{run} =\frac{2}{-1} **

Use both. This works because either way, they will lie on the same line with the same slope. So, starting at (-5,-3), go down two points (-)* and to the left 1 (+)*, then, starting at (-5,-3) again, go up two points (+)* then to the right 1 point (-)*.

* If the number is negative, you either go down or to the right. If the number is positive, you go up and to the left.

**Rise over run refers to the change in the y-axis and the change in the x-axis: \frac{rise}{run} =\frac{y-axis}{x-axis}. Only one number is negative because, if both were negative, that would make a positive number, but the slope is -2, not 2.

Another way you could do this is by finding points first. All you need to do is turn the slope into a "point". Remember, 2 is the y and 1 is the x:

-2=-\frac{2}{1} = (1,-2) and (-1,2)

Then, using (-5,-3) and your new points, add them separately:

(-5,-3)+(1,-2)\\(-5+1,-3+(-2))\\(-5+1,-3-2)\\(-4,-5)

(-4,-5) is one point

(-5,-3)+(-1,2)\\(-5+(-1),-3+2)\\(-5-1,-3+2)\\(-6,-1)

(-6,-1) is another point. Connect the three points. You can check your work on the graph:

3 0
3 years ago
Kool-aide is made from flavored powder and water, with the ratio of powder to water 3:2 based on weight. If 120g of flavored pow
MAXImum [283]

The given ratio of powder to water is 3:2 based on weight for Kool-aide. It is also given that 120g of flavored powder is needed for a certain amount of Kool-aide.

Let us assume that the amount of water (by weight) required to maintain the given ratio of 3:2 be represented by the letter x. Thus, from the given information we can conclude that:

\frac{Powder Weight}{Water Weight}=\frac{3}{2}=\frac{120}{x}

\therefore \frac{3}{2}=\frac{120}{x}

Cross-multiplying we get:

3x=240

\therefore x=\frac{240}{3}=80 grams.

Thus, the amount of water in grams in that Kool-aide is 80 grams.

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The sum of the digits of a two digit number is 6z the number with its digits reversed is 18 less than the original number. Find
Debora [2.8K]

Answer:

42

Step-by-step explanation:

Given:-

The Sum of the Digit of a Two Digit number is 6.

On reversing, the number is 18 less than the original number.

To Find:-

The original Number.

Let the Ones digit be "x"

ten's digit be = (6 - x)

Original Number = x + 10(6 - x) = 60 - 9x

Now, Atq.

One's Digit = (6 - x)

Ten's digit = x

New Number = 10 × x + (6 - x) = 9x + 6.

So,

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(9x + 6 ) - (60- 9x) = 18

9x + 6 - 60 + 9x = 18

18x - 54 = 18

18x = 18 + 54.

18x = 72

x = 72/18

x = 4.

Therefore,

One's Digit = x = 4

Ten's digit = 6 - x = 2

Original Number = 42

6 0
3 years ago
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