We can see that OW/IG = 5/15 = 1/3 and CW/PG = 7/21 = 1/3. So we have two ratios that result in the same value (1/3). We would need to know if CO/IP is also 1/3 as well, so we can use the SSS similarity theorem. However we don't have that information. So we can't use SSS.
Alternatively, if we knew that angle CWO = angle PGI, then we can use the SAS similarity theorem. But that bit of info isn't given to us, so we can't use SAS either.
AA can't be used because we don't know anything about any pairs of angles.
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In short, the answer is choice D. It cannot be determined. There isn't enough information.
The y intercept is= (0,3)
<h3>
Answer: C) increase from 45 degrees to 50 degrees</h3>
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Explanation:
Let's calculate the angle B based off the arcs CDF and GHJ
B = (far arc - near arc)/2
B = (arc CDF - arc GHJ)/2
B = (130 - 40)/2
B = 90/2
B = 45
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Now let's change GHJ to 30 degrees, while keeping the other arc the same.
B = (far arc - near arc)/2
B = (arc CDF - arc GHJ)/2
B = (130 - 30)/2
B = 100/2
B = 50
Angle B has increased from 45 degrees to 50 degrees.
Answer:
P = -2600/3 t + 25600/3
P = -8200/3
Step-by-step explanation:
t is the time in years since 1990, so two points on the line are (5, 4200) and (8, 1600).
Using the points to find the slope:
m = (y₂ − y₁) / (x₂ − x₁)
m = (1600 − 4200) / (8 − 5)
m = -2600/3
Now writing the equation in point-slope form:
P − 4200 = -2600/3 (t − 5)
Converting to slope-intercept form:
P − 4200 = -2600/3 t + 13000/3
P = -2600/3 t + 25600/3
In 2003, t = 13:
P = -2600/3 (13) + 25600/3
P = -8200/3