Answer:
m = 116
x = 24
y = 76
z = 40
Step-by-step explanation:
For startes the interior angles of triangles always add up to 180 degrees.
That means....
73 + 83 + x = 180
z + m + x = 180
z + y + 64 = 180
Another important fact is that two angles that are intersected by a line in the case 64 and m always add up to 180 degrees.
So m + 64 = 180
Let's start with 73 + 83 + x = 180
If you add 73 and 83 you get 156
x + 156 = 180 then subtract 156 from both sides and
x = 24
Then use m + 64 = 180 subtract 64 from both sides and
m = 116
z + m + x = 180 become
z + 116 + 24 = 180
Add 116 and 24 and you get 140
z + 140 = 180 subtract 140 from both sides and
z = 40
Check to make sure m + x + z = 180
24 + 40 + 116 = 180
z + y + 64 = 180 becomes
y + 40 + 64 = 180
40 + 64 = 104 so
y + 104 = 180 subtract 104 from both sides and
y = 76
Congratulations you have found all of the angles!
Answer:
A rectangle.
Step-by-step explanation:
The point are plotted on a coordinate plane, whose outcome is presented in the image enclosed below. The figure resembles a rectangle, as all internal angles are right-angled.
Answer:
z = 0.9778x^2 / y.
Step-by-step explanation:
When z varies with the square of x the equation is z = kx^2 where k = a constant.
If it also varies inversely with y the equation is z = kx^2/y.
When z = 4.4 , x = 3 and y = 2 we have:-
4.4 = k * 3^2 / 2
Multiplying by 2:
8.8 = 9k
k = 8.8 / 9
= 0.9778.
So the required formula is z = 0.9778x^2 / y.
$199.95 x 25% = $199.95 x .25 = $49.9875 ~ $49.99
$199.95 - 49.99 = $149.96 (actual balance) If Lenny pay $14.99 for 12 months the total payment would be: $14.99 x 12 =$179.88
Lenny would have paid an additional amount of $29.92 ($179.88 - 149.96) after making the final payment.
I hope this helps since you did not mention what you were calculating, so I include everything that can be done to this problem.
Answer:
Step-by-step explanation:
Let X be the no of defective components produced by a certain process in one day
X is Poisson with parameter = 20
Y = no of components that can be repaired
Since each component to be repaired is independent of the other Y is Binomial with p =0.60
a) 
b) P(Y = 10)= Binomial prob (15,0.6) for y =10
= 
Here no of repairables X is binomial.
c) Prob for 15 produced and 10 repairable = product of a and b
= 0.009603
