Answer:240
I know this is annoying but, i took the question in Edgenuity
Supplementary = angles add up to 180
Measure = 20 less
Labelled as x + (x - 20) = 180
Solve.
x + (x - 20) = 180
2x = 200
/2 /2
x = 100
Angle 1: Angle 2:
x - 20 x
100 - 20 100
80
Therefore the angle is 80 degrees.
Proof: 80 + 100 = 180 (supplementary)
100 - 80 = 20 (80 is less than supplement (100)
Hope I helped :))))
Answer:
a. 32
b. 48
Step-by-step explanation:
Forty percent of the 80 birds were robins.
a. How many of the birds were robins?
b. How many of the birds were not robins?
___________________
Forty percent of the 80 birds that were robins = 40%/100%
To find how many of the birds were robins, use part/whole = part/whole
40%/100% = ?/80
This will tell us how many exact robins were there
To solve, multiply 80 by 40 and then divide all by 100
80 x 40 ÷ 100 = 32
so 32 of the birds were robins
now for b since 32 of the birds were robins out of 80 birds, subtract 32 from 80.
80 - 32 = 48
Answer i pick is A. got to MULTIPLE BY 2 FOR X
<em>y</em> - 1/<em>z</em> = 1 ==> <em>y</em> = 1 + 1/<em>z</em>
<em>z</em> - 1/<em>x</em> = 1 ==> <em>z</em> = 1 + 1/<em>x</em>
==> <em>y</em> = 1 + 1/(1 + 1/<em>x</em>) = 1 + <em>x</em>/(<em>x</em> + 1) = (2<em>x</em> + 1)/(<em>x</em> + 1)
<em>x</em> - 1/<em>y</em> = <em>x</em> - (<em>x</em> + 1)/(2<em>x</em> + 1) = (2<em>x</em> ² - 1)/(2<em>x</em> + 1) = 1
==> 2<em>x</em> ² - 1 = 2<em>x</em> + 1
==> 2<em>x</em> ² - 2<em>x</em> - 2 = 0
==> <em>x</em> ² - <em>x</em> - 1 = 0
==> <em>x</em> = (1 ± √5)/2
If you start solving for <em>z</em>, then for <em>x</em>, then for <em>y</em>, you would get the same equation as above (with <em>y</em> in place of <em>x</em>), and the same thing happens if you solve for <em>x</em>, then <em>y</em>, then <em>z</em>. So it turns out that <em>x</em> = <em>y</em> = <em>z</em>.
