Answer:
x=12.5
y=10
Step-by-step explanation:
Properties of rectangle:
- Opposite sides are congruent
- All angles are right angles
- Diagonals bisect each other
- Diagonals are of equal length
so from the properties we came to know that diagonals bisects each other and diagonals are of equal length
Given Rectangle RSUT has diagonals that meet at point X.
⇒![RX=SX=UX=TX=\frac{1}{2}RU=\frac{1}{2}ST](https://tex.z-dn.net/?f=RX%3DSX%3DUX%3DTX%3D%5Cfrac%7B1%7D%7B2%7DRU%3D%5Cfrac%7B1%7D%7B2%7DST)
⇒![RX=\frac{1}{2}ST](https://tex.z-dn.net/?f=RX%3D%5Cfrac%7B1%7D%7B2%7DST)
⇒![4x=\frac{1}{2}(100)](https://tex.z-dn.net/?f=4x%3D%5Cfrac%7B1%7D%7B2%7D%28100%29)
⇒![x=12.5](https://tex.z-dn.net/?f=x%3D12.5)
Also ![XU=RX](https://tex.z-dn.net/?f=XU%3DRX)
⇒![(4)(12.5)=5y](https://tex.z-dn.net/?f=%284%29%2812.5%29%3D5y)
⇒![5y=50](https://tex.z-dn.net/?f=5y%3D50)
⇒![y=10](https://tex.z-dn.net/?f=y%3D10)
The exact answer would be 3218.69 meters but since you're rounding upwards, your answer would be D. 3,220 meters.
Hope this helps,
♥<em>A.W.E.</em><u><em>S.W.A.N.</em></u>♥
Answer: Mean- 45
Median- 45
Mode- Nil
Range- 6
Step-by-step explanation:
Mean= sum of data set/number of data set= 42+43+44+45+46+47+48/7 =45
Median= arrange in an ascending order, then pick the middle data or number= 45
Mode- the number with highest frequency, in the case of this question, all number appeared once, hence no mode.
Range= difference between the highest and lowest value in a data set= 48-42=6
Answer:
x = 11.1
Step-by-step explanation:
Cosine theta = adjacent/hypotenuse
cos 42 = x/15
x = 15 cos 42
x = 11.1