Answer:
So for a hint to help you...when you are looking at a triangle on a 180 degree line, each angle adds up to 180 degrees. So for example, on #9 on the top of the triangle, one of the angles is 49 degrees so you want to subtract that from 180 ( 180 - 49 = X ) ( X = angle 1 and 2 ) so angle 1 and 2 added together equals X. In this case, ( X = 131 degrees ) Every triangle equals 180 degrees too. So since this angle has 3 different angles on the line, you can do the rest of the problems and come back to these because you can subtract angle 4 and 73 to get angle 2.
(still on #9) Angle 3, as you can see only has one other number beside it (73) so it makes this one very easy. ( 180 - 73 = X ) ( X = 107 ) <u>Angle 3 = 107 degrees</u>
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Angle 5. Subtract the 49 above angle 5 from 180 and the result will be angle 5. ( 180 - 49 = X ) ( X = Angle 5 ) <u>X/angle 5 = 131.</u>
Now you can get angle 4, which gives you angle 2 and 1. ( 180 - 131 = Angle 4 ) <u>(Angle 4 = 49)</u>
Angle 2. In the triangle, we have 73 degrees, and 49 degrees. So the equation for this one is, ( 180 - 73 - 49 = Angle 2 ) ( Angle 2 = 58 )
Angle 1. On this line, we have 49 degrees and 2=58 degrees. ( 180 - 58 - 49 = Angle 1 ) <u>( Angle 1 = 73 )</u>
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Lastly, Angle 3. The side of this triangle will also equal 180, just like the top line. Angle 1 = 73 degrees so as you now know, subtract that from 180 and get angle 3. ( 180 - 73 = Angle 3 ) <u>(Angle 3 = 107 )</u>
<u></u>
1: 73 degrees
2: 58 degrees
3: 107 degrees
4: 49 degrees
5: 131 degrees
I know this is a lot to read, but I really hope I explained it to where you can understand it now.
Answer:
graph: see image
D: all real numbers
R: all real numbers
zero: 2
Step-by-step explanation:
y = 3x - 6 is a line. Make a point at -6 on the y-axis because that is the y-intercept. The slope is 3, written as a ratio is 3/1. This means go UP3 and OVER1. You can go UP3 OVER1 as many times as will fit on the graph. Then you can kind of see the line. Draw the line through the points.
The domain is all the x's that are on the graph or all the numbers that can be used in place of x in the equation. In 3x-6 you can use any number. On the graph the line goes forever in both directions. So the domain is all real numbers.
The range is all the y's on the graph or all the y-values that can be produced by the equation. Similarly, the range is all real numbers.
To find the zero(s) let f(x) = 0 and solve. Remember, roots are solutions are zeros are x-intercepts. Its a little oversimplified, but roots are solutions are zeros are x-intercepts.
f(x) = 3x - 6
0 = 3x - 6
6 = 3x
2 = x
The zero is 2 (you can see this as the x-intercept on the graph).
Answer:
61.1 m^ 2
Step-by-step explanation:
Area= L * B
= 4.7 * 13
= 61.1
The number of yards of fabric required for making 7 identical elf costumes is 15 3/4 yards.
<h3>What is a mixed number/fraction?</h3>
A mixed fraction is represented with the quotient and the remainder. So, the combination of a whole number and the proper fraction is called a mixed fraction.
Eg: 2 3/4 where 2 is the quotient and 3 is the remainder.
<h3>Calculation:</h3>
It is given that,
Mrs. Henderson used 6 3/4 yards of fabric to make 3 identical elf costumes.
Then, for making 1 costume, it requires
1 costume = 6 3/4 ÷ 3
⇒ 27/4 ÷ 3
⇒ 27/4 × 1/3
⇒ 9/4 yards
Thus, making 1 elf costume requires 9/4 yards.
Then, for making 7 identical elf costumes, it requires
7 identical elf costumes = 7 × 9/4 yards = 63/4 yards
The obtained value is expressed in the mixed fraction form as
63/4 yards = 15 3/4 yards.
Therefore, 15 3/4 yards of fabric are needed for 7 identical elf costumes.
Learn more about mixed fractions here:
brainly.com/question/21610929
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