Question: Match the statement to the property it shows.
Work & Final Answers:
Segment CD is congruent to segment CD -> Reflexive Property
If MN = XY, and XY = AB, then MN = AB -> Transitive Property
If AB = CD, then CD = AB -> Symmetric Property.
Answer:
![\text{Problems assigned for weekend are}\frac{11}{15}x+4](https://tex.z-dn.net/?f=%5Ctext%7BProblems%20assigned%20for%20weekend%20are%7D%5Cfrac%7B11%7D%7B15%7Dx%2B4)
Step-by-step explanation:
Given that Jack did 3/5 of all problems on his weekend homework before Sunday. On Sunday he solved 1/3 of what was left and the last 4 problems. We have to find the number of problems assigned for weekend.
Let the total problems be x
![\text{Problems solved by Jack before Sunday}=\frac{3}{5}x](https://tex.z-dn.net/?f=%5Ctext%7BProblems%20solved%20by%20Jack%20before%20Sunday%7D%3D%5Cfrac%7B3%7D%7B5%7Dx)
![\text{Problems solved by Jack on Sunday}=\frac{1}{3}(x-\frac{3}{5}x)+4=\frac{1}{3}\times \frac{2}{5}x+4=\frac{2}{15}x+4](https://tex.z-dn.net/?f=%5Ctext%7BProblems%20solved%20by%20Jack%20on%20Sunday%7D%3D%5Cfrac%7B1%7D%7B3%7D%28x-%5Cfrac%7B3%7D%7B5%7Dx%29%2B4%3D%5Cfrac%7B1%7D%7B3%7D%5Ctimes%20%5Cfrac%7B2%7D%7B5%7Dx%2B4%3D%5Cfrac%7B2%7D%7B15%7Dx%2B4)
∴ Problems assigned for weekend are
![\frac{3}{5}x+\frac{2}{15}x+4](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7Dx%2B%5Cfrac%7B2%7D%7B15%7Dx%2B4)
⇒ ![\frac{11}{15}x+4](https://tex.z-dn.net/?f=%5Cfrac%7B11%7D%7B15%7Dx%2B4)
Remove parentheses
2c - 4 + 5c + 11
Combine like terms
Answer: 7c + 7
Answer:
x° = 48°
Step-by-step explanation:
90° + 42° + x° = 180°
132° + x° = 180°
x° = 180° - 132° = 48°
Therefore, x° = 48°
Answer:
381.0511777, or 381.051
Step-by-step explanation:
Equation for distance-
B (distance) = A (height) /tan ( e )
B 220 = a/ tan 60
we must rearrange to find height
A=220*tan 60
using our handy dandy scientific calculator on google, we get the following:
381.0511777- a record!
(notify before reporting if wrong)