To find x:
Triangles are in total 180 degrees. The two triangles are basically 1 triangle split in half. If the triangle share the same side, has similar angles (shown by the curves on both sides at the top(Angle BAC and CAB), and has similar sides(shown by the hashes made in the lines AC & AB), you can conclude 'x' as a 90 degree angle.
To find y:
The measurment of the angle DCA is 47 degrees. For x, we concluded the answer to be 90 degrees, making the other side of the line 90 degrees as well.Since a triangle is 180 degrees, we can add 47 and 90 to get 137. Taking that answer, we subtract it from the value of 180 degrees to get 43 degrees. So y equals 43.
Answer:
Can you send me a picture I am confused
Step-by-step explanation:
Complete question :
The 100m dah times in the girl's track meet were normally distributed with a mean of 13 seconds and a standard deviation of 0.3 seconds.
Lana finished the race in 13.2 seconds . If 84 other girls ran in the event, approximately how many runners did she beat?
Answer:
21 runners
Step-by-step explanation:
Mean, μ = 13 seconds
Standard deviation, σ = 0.3
Lana's race time = 13.2
We find the proportion of runners who had race time above 13.2 ;
Proportion of who had race tune above 13.2
P(x > 13.2)
Obtain the Zscore
Zscore = (x - μ) / σ
Z = (13.2 - 13) / 0.3
Zscore = 0.2 / 0.3 = 0.6667
P(Z > 0.6667) = 0.25239 (Z probability calculator)
This is about 0.25239 * 100 = 25.24% = 25% (nearest percent)
Hence, Number of runners Lana beat = 25% of total runners ;
0.25 * 84 = 21
Hence, Lana beat about 21 runners
Answer:
I think that the answers are B, E, and F.
Step-by-step explanation:
Don't rate me if they are wrong.
width = w
length = w+4
Area = l*w
substitute
96 = (w+4) *w
distribute
96 = w^2 +4w
subtract 96 from both sides
0 = w^2 +4w -96
factor
0=(w+12) (w-8)
w+12=0 w-8=0
w=-12 w=8
cannot have negative width
w=8
l=12
Answer: width =8 cm
length = 12cm
