Answer:
DE = 29.57
Step-by-step explanation:
Given:
AX = 15 cm,
CX = 12 cm,
EX = 21 cm.
Required:
Find DE
Solution:
AX and CX are segments of chord AC
DX and EX are segments of chord DE
Therefore,
DE = DX + EX
DE = DX + 21
We are not given the value of DX, so we need to find DX
Based on the intersecting chords theorem:
AX*CX = DX*EX
Plug in the values
15*12 = DX*21
180 = DX*21
Divide both sides by 21
180/21 = DX
8.57142857 = DX
DX ≈ 8.57
✅DE = DX + 21 = 8.57 + 21 = 29.57
Answer:
The measure of the angle “B” is (d) 70*
Step-by-step explanation:
To answer this problem we have to have a <span>Standard Normal Distribution table because we need to look up z scores. Then we use this equation
</span><span>z = (value - mean)/(standard deviation) = (250-200)/20 = 2.5.
</span><span>
The z score is then 2.5 </span>If so, look up z=2.5 on the left edge then you then determine from the table what the area to the left of that is.
<span>
Here are the conditions:
</span><span>p(z>2.5)=1
p(z<2.5)=.621
1-.621= .379
100-37.9= 62.1</span><span>
Given that, we should go with </span><span>.621%.</span>
Ans: 1.1 miles more
Speed = distance/time
Time is 1/5 of an hour
1/5 of 1hr = 1/5 or 0.2 hrs
Speed = 16 mph
So, we're after distance.
Distance = speed x time
= 16mph x 0.2
= 3.2 miles
Walks for 3/7 hour at 5 miles per hour :
Time & speed given, distance is what we're after.
(3/7 of 1hr is 3/7)
Distance = speed x time
= 5mph x 3/7
= 15/7 miles or 2.14285...miles
So, distance is about 2.1 miles to 1 d.p
Thus, 3.2 - 2.142... (the full ans) = 1.057... miles
Well, he biked 1.06 miles or 1.1 miles (depending on how you want to round it) more than walking.
Hope this helps!