Answer:
(a) x =
(b) x =
Step-by-step explanation:
A. sum of angles in a polygon = (n - 2) 180
The polygon given is an irregular pentagon, where n = 5
So that;
sum of angles in a pentagon = (5 - 2) 180
= 3 x 180
=
Thus,
x + 90 + 76 + 110 + 136 =
x + 412 =
x = - 412
x =
B. The polygon given is an irregular pentagon, where n = 5.
Let the supplementary angle with angle 38 be represented by y,
y + 38 = 180
y = 180 - 38
=
y =
Let the supplementary angle with x be represented by z, so that;
z + 72 + 120 + 100 + 142 =
z + 434 =
z = - 434
=
z =
But, x + z =
Then;
x + =
x = -
=
x =
Answer:
Step-by-step explanation:
Three or more points that lie on the same line are collinear points.
I have highlighted the points so you can see where they lay on the lines. You can see only one set of points is on 2 different lines.
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Answer:
10. x= 10 y=sqrt 200
11. x=y=450
12. x=19 y=sqrt 1083
13. x=sqrt 48 y=sqrt 12
Step-by-step explanation:
10.
x and 10 are the same
10^2+10^2=200
sqrt 200 is not a whole number so y is just sqrt 200
11.
30^2=2x^2 because x and y are the same
x^2=450
sqrt 450 is not a whole number so x and y are just sqrt 450
12.
x= 38 divided by 2=19
38^2=19^2+y^2
1444=361+y^2
y^2=1083
sqrt 1083 is not a whole number so y is just sqrt 1083
13.
x^2=(x/2)^2+36=x^2/4+36
x^2=48
sqrt 48 is not a whole number so x is just sqrt 48
y is half of x so it is sqrt 12
Good evening from Canada!
Standard form: ax+by=c
3x-9=7y
3x-7y=9
Hope this helps!