Answer:
88168in²
Step-by-step explanation:
:)
Answer: x = 123
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Here are the basic steps:
Step 1) Find the measure of angle 7 (near the 35 degree angle)
Step 2) Find angle 6 (in the center; bottom angle)
Step 3) Use angle 6 to find the value of x
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Let's go through those steps mentioned
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Step 1) Finding the measure of angle 7
We see that the 35 degree angle and angle 7 combine to form a 90 right angle. So they must add to 90 degrees
(angle 7) + 35 = 90
(angle 7) + 35 - 35 = 90 - 35
angle 7 = 55
So angle 7 is 55 degrees. We'll use it on the next step
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Step 2) Finding the measure of angle 6
We'll use the result from step 1. The triangle with angle 7, angle 6, and the 68 degree angle will be focused on here. Recall that for any triangle, the three angles must add to 180 degrees.
So,
(angle 7) + (angle 6) + 68 = 180
(55) + (angle 6) + 68 = 180
(angle 6) + 55 + 68 = 180
(angle 6) + 123 = 180
(angle 6) + 123 - 123 = 180 - 123
angle 6 = 57
So we now know that angle 6 is 57 degrees
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Step 3) Find x
We now use the fact that angle 6 and angle x are a linear pair. They combine to form a straight line, or straight angle. In other words they add to 180 degrees (they are supplementary angles)
So,
(angle 6) + x = 180
(57) + x = 180
x + 57 = 180
x + 57 - 57 = 180 - 57
x + 57 - 57 = 123
x = 123
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Side note: we can use the exterior angle theorem to skip over step 2. To do this, we add up angle 7 (which was 55 degrees) to 68 to get 123 degrees which is the same answer.
Okay... let’s see if I remember this! So... first off, convert the whole number into a fraction. To do this, we would need to multiply the number (20) by 2, since the denominator is 2, and then add it to the 1/2 we already have.
= 41/2 × 3/4
Then, put the fractions formula for multiplication into play... (numerators on top, denominators on bottom)
41 × 3
= ————
2 × 4
This would equal 123/8.
Now, we aren’t done yet. To get our final answer, we would to simplify 123/8 to the point where it can’t be any more simple. (For example, if we had 2/2, we would have to simplify that because 2/2 = 1. We wouldn’t be able to simplify the 1 any more than that, making 1 the final answer.) I’ll just do the math for you here. 123/8 simplified completely is 15 3/8.
( 123/8 = 15 3/8.)
I kind of went into detail just in case you were having trouble with these kinds of problems, which I hope isn’t too much of a problem!! Have a good day and I hope this helps :)
Answer:
c = 6.40
Step-by-step explanation:
by phythgorus theorm
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(x+y
The fourth term is;
=
From table of binomial coefficients;
=56
