Answer:
B ( 92 degrees)
Step-by-step explanation:
1. Find y
In order to find z, we need to find y.
All triangles add up to 180 degrees, so y would be
180 - (48 + 44) = 88
y is 88 degrees
2. Find z
So now we know y is 88, we can find z
The circle of all angles of y and z = 360 ( because full angle)
so our equation is:
(88 + z)2 = 360
Divide by 2
88 + z = 180
z = 92
1/2 + 2x = (3+4+12)x / 12
1/2 + 2x = 19x/12
1/2 = -5/2 x
x = -1/5
Answer:
the two positive consecutive integers are 4 and 6.
Step-by-step explanation:
Let the smaller integer be s; then s^2 = (s + 2) + 10.
Simplifying, s^2 - s - 2 - 10 = 0, or
s^2 - s - 12 = 0.
Solve this by factoring: (s - 4)(s + 3) = 0.
Then s = 4 and s = -3.
If the first even integer is 4, the next is 6. We omit s = -3 because it's not even.
The smaller integer is 4. Does this satisfy the equation s^2 = (s + 2) + 10?
4^2 = (4 + 2) + 10 True or False?
16 = 6 + 10 = 16.
True.
So the two positive consecutive integers are 4 and 6.
<span>By the given scenario in this item, the amount that is paid before tax for the item would only be equal to 82% of the original amount. This is due to the given 18% discount.
To solve for the amount that needs to be paid, we simply multiply the base value with the decimal equivalent of the given percentage. That is,
P = ($350)(0.82) = $287
Answer: $287</span>
Answer:
2:1
Step-by-step explanation:
w:x = 4:6
y:x = 1:3
if w = 4 and x = 6, y = 1/3x = 2
If w = 4 and y = 2, then the ratio is;
w:y = 2:1
