Answer:
x = 44⁰
y = 46
z = 90⁰
m = 36⁰
n = 40⁰
Step-by-step explanation:
a) Opposite angles of a parallelogram are always equal, so x = 44. The 4 angles will add up to 180⁰, so when you add the two 44⁰ angles together and subtract from 180⁰, you get 92⁰. divide that by 2 and you get 46⁰, so y = 46⁰.
b) since the two sides are parallel, if the other side is perpendicular to one, causing the 90⁰ angle, it is also perpendicular to the other, so z = 90⁰.
c) Opposite angles over a common side are equal, so m = 36⁰.
d) You know the missing angle in the small on the right is 40⁰ because the three angles will add up to 180⁰ and the two known angles add to 140⁰. Then you can use the same reason above to figure that the angle next to 65⁰ is 40⁰. The hashes on the sides of the bigger triangle on the left show it is an isoceles triangle in which the two base angles are always equal, so since you know the one is 40⁰, you know that n = 40⁰ also.
Answer:
Line equation
y=0.2727272727272727x−1 Slope 0.27 Intercept -1
Step-by-step explanation:
Step-by-step explanation:
i)=
m=2/3
x=-3
y = 5
now
y=mx+c
or, 5 = 2/3× -3 + c
or, 5 = -2+c
c =7
now,
y= mx + c
or, y = 2/3×x+7
or, y = 2x/3+7
or, 3y = 2x+21
so, 3y-2x=21
equation would be 3y-2x=21.
now
ii)=
if slope of 3y-2x=21 and 2x-3y = 0 are same, they are parallel.
2x-3y = 0
2x = 3y
lets suppose x is 9
now
2x=3y
2×9 = 3y
or, 18 = 3y
so, y = 6
one coordinate would be (9,6) now
lets again suppose x is 3
2x=3y
2×3 = 3y
or, 6 = 3y
so, y = 2
another coordinate is (3,2)
now lets find slope
x1=9,y1=6
x2=3,y2=2
slope = (y2-y1)/(x2-x1)
= (2-6)/(3-9)
= -4/-6
= 2/3
Since, slope of 3y-2x=21 and 2x-3y has same slope 2/3, they are parallel.
Answer:
Answer: 286
Step-by-step explanation:
6+7=13
13C10=286
Answer: 286
