This would be easiest to do by completing the square.
x^2+10x-2=0
x^2+10x=2
x^2+10x+25=27
(x+5)^2=27
x+5=±√27
x=-5±√27
(x+5+√27)(x+5-√27)
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.
<h3>
Answer: 11/20</h3>
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Work Shown:
x = unknown horizontal length
1/5 = 0.2
Perimeter = 2*(width + length)
P = 2*(0.2 + x)
P = 0.4 + 2x
Set this equal to the given perimeter of 1 & 1/2 = 1.5 and solve for x
0.4 + 2x = 1.5
2x = 1.5-0.4
2x = 1.1
x = (1.1)/2
x = 0.55
x = 55/100
x = (5*11)/(5*20)
x = 11/20
18%=$16.91
1%=$16.91÷18
=$0.93944(3.s.f)
100%=$0.93944x100
=$93.94(2.d.p)
C because adjacent angles share a common line as do angles 2 and 4.
Hope this helps :)
