Answer:
64 degrees
Step-by-step explanation:
Since the triangles are similar they have the same angle measures
∠P = ∠S ∠R =∠U ∠Q=∠T
We know 2 of the angle measures: ∠S and ∠R, and since they are similar we know ∠P and ∠U
In triangles the sum of all angle measures is always 180 degrees, so we can solve for ∠Q with this formula
subtract 116 from both sides
Therefore ∠Q is equal to 64 degrees
9514 1404 393
Answer:
7.84 to 8.16 ounces
Step-by-step explanation:
The difference between the actual amount in the bottle and the target amount of 8 ounces can be at most 2% of 8 ounces. That amount is ...
0.02×8 oz = 0.16 oz
The amount in the bottle can be this much higher:
8 + 0.16 = 8.16 . . . ounces
or, it can be that much lower:
8 - 0.16 = 7.84 . . . ounces
The range of values the bottle could contain is from 7.84 ounces to 8.16 ounces.
A discontinuity is a point that cannot exist because the x-coordinate would cause a problem in the equation. If you have a polynomial in the denominator, you must find which values of x would cause the polynomial in the denominator to evaluate to zero. Since division by zero is undefined, that would cause a discontinuity.
Let's look at your function.
is in the numerator. It is defined for every value of x. There is no problem there.
is in the denominator. This is a function defined for every value of x, but since it is in the denominator, we must exclude the x-value that would cause this polynomial to evaluate to zero.
We set it equal to zero and solve the equation for x.
For x = 0, the denominator has a value of zero, so at this point there is a discontinuity in function f(x).
The answer is:
Answer:
0
Step-by-step explanation:
m=y-y1/x-x1
m=4-4/-2-3=0/-5
m=0
Answer:
simplified 10k-1a-10
Step-by-step explanation:
Simplified
