<h3>
Answer: Angle 1 is 80 degrees</h3>
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Explanation:
See the diagram below. I've extended one of the rays to form a full line. This is shown in red. The alternate interior angles 60 and x are congruent due to the parallel lines, so x = 60.
We can then find angle y
x+y+20 = 180 ... angles of a triangle add to 180
60+y+20 = 180
y+80 = 180
y = 180-80
y = 100
Use this to find z
y+z = 180
100+z = 180
z = 180-100
z = 80
Or you could use the remote interior angle theorem
x+20 = z
60+20 = z
80 = z
z = 80
Answer:
-5x^6-8x^2+6x+11
Step-by-step explanation:
(-5x^6+7x+1)-(8x^2+x-10)
Remove parentheses
-5x^6+7x+1-(8x^2+x-10)
-(8x^2+x-10)=-8x^2-x+10
-5x^6+7x+1-8x^2-x+10
Simplify
-5x^6-8x^2+6x+11
Answer:
8n - 15
Step-by-step explanation:
for finding the nth term we need to figure out the difference between the numbers:
3,11,19 = difference of 8
multiples of 8:
8,16,24,32,40...
the nth term would be 8n - 5 because in order to get to 3 from 8, we minus 5
In order to get -140, one number has to be negative and one number has to be positive. And these two numbers when added together give you a -4, which means the greater of these numbers has to be negative.
Try guess and check strategy by listing possible factor combinations for -140 and see which one works!
