Answer:
BD = 16
Step-by-step explanation:
By applying mean proportional theorem in the given right triangles,

AD × CD = BD²
8 × 32 = BD²
BD = √256
BD = 16
Therefore, measure of side BD = 16 units.
Answer: 175
Step-by-step explanation: total = x + 5y dollars and dollars = 300 so
x + 5y = 300 then since we know y = 200 we can substitute that
x + 5(200) = 300 then subtract x from 200
x + 5(200 - x) = 300 now solve for x
x + 5(200) + 5(-x) = 300 we know 5 times 200 is 1000
x + 1000 - 5x = 300 then subtract 5x - x = -4x
-4x + 1000 = 300 switch around 1000 and 300
-4x = 300 - 1000 subtract 300 - 1000 = -700
-4x = -700 multiply
x = -700/(-4) then finish up and solve
x = 175
hope this helps please mark brainliest if you can
The answer is 42.
The question is asking for angle N. We know from the question that angle N is equal to angle E (Don't think about the scale factor because it only applies to the sides. They're just trying to trick you).
To find angle E:

Move numbers to the right side:

Combine like terms:

Divide both sides by 13:

The formula for angle E:

Plug in the 8:

The angle measure of E is 42. So angle N is automatically 42 too.
To solidify, we can try to use the formula which they give us for angle N:
Answer:
a. O = h - 40
b. 0, 4, 8, 12
Step-by-step explanation:
Let numver of overtime hours Jim workes for defined by O.
Standard working hours in a week for Jim = 40 Hours
If Jim is working for h hours then number of overtime hours will be given as difference between total hours he worked and standard working hours in a week.
⇒ O = h - 40
now, if jim has worked for 40, 44, 48 and 52 hours then his over time for all these cases will be
O = 40 - 40 = 0 Hours
O = 44 - 40 = 4 Hours
O = 48 - 40 = 8 Hours
O = 52 - 40 = 12 Hours respectively.