From the last time i did it, i believe its B
x = 83°
Solution:
The reference image to the answer is given below.
Sum of the adjacent angles in a straight line = 180°
⇒ ∠1 + ∠2 + ∠3 = 180° (Refer image)
⇒ 56° + ∠2 + 41° = 180°
⇒ 56° + 41° + ∠2 = 180°
⇒ 97° + ∠2 = 180°
⇒ ∠2 = 180° – 97°
⇒ ∠2 = 83°
In the given image ∠5 and ∠2 are vertically opposite angles.
<u>Vertical angle theorem:</u>
Vertically opposite angles are equal.
⇒ ∠5 = ∠2
⇒ x = ∠2
⇒ x = 83°
Hence the measure of angle x is 83°.
The answer is chicken $8, duck $5
x - the cost of a chicken
y - the cost of a duck
<span>he sold 50 chickens and 30 ducks for $550: 50x + 30y = 550
</span><span>he sold 44 chickens and 36 ducks for $532: 44x + 36y = 532
</span>50x + 30y = 550 divide by 10
44x + 36y = 550 divide by 4
______________
50x/10 + 30y/10 = 550/10
44x/4 + 36y/4 = 532/4
______________
5x + 3y = 55 Multiply by (-3)
11x + 9y = 133
______________
5x * (-3) + 3y * (-3) = 55 * (-3)
11x + 9y = 133
______________
-15x - 9y = -165
11x + 9y = 133
______________
Sum up:
-4x + 0y = -32
-4x = -32
x = -32/-4
x = 8
Since 5x + 3y = 55 and x = 8, then:
5 * 8 + 3y = 55
40 + 3y = 55
3y = 55 - 40
3y = 15
y = 15/3
y = 5
The probability that a region prone to hurricanes will be hit by a hurricane in any single year is one tenth or 0.1
P(at least one) = 1 - P(none in five years)
-----
= 1 - 0.90^5
= 1 - 0.59049
=0.40951 or 0.41.
41% probability that there will be a hurricane at least once in the next 5 years.
Answer:
y = 
x
Step-by-step explanation:
given y varies directly as x, the the equation relating them is
y = kx ← k is the constant of variation
to find k use the given condition y = 10 when x = 6, hence
k = 
= 
=
y = x ← is the equation
