Answer:
x = 42.5
Step-by-step explanation:
A triangle inscribed inside of a circle using the diameter of the circle as it's hypotenuse is a right triangle ( a 90 degree triangle ) where the angle opposite of the hypotenuse is the 90 degree angle ( angle C )
Hence angle C = 90
If angle C = 2x + 5
Then 2x + 5 = 90
Notice that we just created an equation that we can use to solve for x
We now solve for x algebraically
2x + 5 = 90
Step 1 subtract 5 from both sides
2x + 5 - 5 = 90 - 5
Outcome: 2x = 85
Step 2 divide both sides by 2
2x/2 = 85/2
Outcome: x = 42.5
The range is the set of y coordinates (or outputs). For any point (x,y) the y coordinate is the second number listed. For example, with (8,7) the y coordinate is 7.
So we simply list all of the y coordinates of each ordered pair. Those values are: 1, 0, -1, 7, 7
Let's order them as you would see on a number line
-1, 0, 1, 7, 7
then let's toss out the extra 7 to get
-1, 0, 1, 7
So the range is the set {-1, 0, 1, 7}
Answer:
On the other hand, if rates are very low, gold may potentially benefit as it keeps the opportunity cost of holding gold to a minimum. Of course, gold could also move higher even with high interest rates, and it could move lower even during periods of ultra-low rates. Monetary policy can also affect the gold price.
Step-by-step explanation:
In ΔDCE + ΔGFH,
∠C = ∠F (given)
∠D = ∠C (angle sum of a triangle)
∠H = ∠E (angle sum of a triangle)
∴ ΔDCE is similar to ΔGFH
Hope this helps!
