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oee [108]
3 years ago
10

The measure of an angle is 32.6º. What is the measure of its supplementary angle?

Mathematics
2 answers:
dalvyx [7]3 years ago
8 0

Answer:

147.4°

Step-by-step explanation:

Supplementary angles sum to 180° , then

supplementary angle = 180° - 32.6° = 147.4°

natima [27]3 years ago
3 0
Supplementary angles are two angles whose measures add up to 180°. Because one angle is 32.6°, 180°-32.6°=147.4°
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Find two positive numbers so that twice their sum equals their product and one number is 10 times the other number. Enter the sm
Softa [21]

Answer:

Step-by-step explanation:

We'll call the 2 numbers x and y. Starting with the last part of that first sentence "one number is 10 times the other number" can be written, in algebraic form:

y = 10x

Now on to the first statement about the numbers: "twice their sum" is 2(x + y) and "equals their product" is = xy. Putting that all together:

2(x + y) = xy and we know that y = 10x so

2(x + 10x) = x(10x) and

2(11x)=10x^2 and

10x^2-22x=0 and

x(10x - 22) = 0 so

x = 0 or 10x - 22 = 0 which makes

x equal to \frac{22}{10}=2.2

So x = 2.2 and y = 22.

7 0
3 years ago
What is an equation of the line that passes through the point (8,-5) and is parallel
HACTEHA [7]

Answer:

y=-5/4x+5

Step-by-step explanation:

Hi there!

We're given the line 5x+4y=24 and we want to find the line parallel to it that passes through (8,-5)

Parallel lines have the same slopes

First, we need to find the slope of 5x+4y=24.

We'll do that by converting 5x+4y=24 from standard form (ax+by=c where a, b, and c are integers) to slope-intercept form (y=mx+b where m is the slope and b is the y intercept)

subtract 5x from both sides

4y=-5x+24

divide by 4 on both sides

y=-5/4x+6

since -5/4 is in the place where m should be, it is the slope.

So the equation of the line parallel to it will also have -5/4 as the slope

Here's the equation so far in slope-intercept form:

y=-5/4x+b

we need to find b

because the equation will pass through (8,-5), we can use it to solve for b

substitute 8 as x and -5 as y

-5=-5/4(8)+b

multiply

-5=-10+b

add 10 to both sides

5=b

substitute 5 as b into the equation

<u>y=-5/4x+5</u>

That's the equation of the line parallel to 5x+4y=24.

Hope this helps!

6 0
3 years ago
What is 2 + 2? <br> pls help when you can! &lt;3
Anna [14]

Answer: 2 + 2 is 4 ;-;

5 0
3 years ago
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I played 4 games of badmintonand scored 12 points per game. The average score of the first 3 games was 10 points per game. how m
Ne4ueva [31]
You scored 18 points in your fourth game because if you played 4 games and got 12 points each game that equals 48 points all together and if the average is 10 points for the first 3 games that equals 30 points for the three games so 48-30=18
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