Answer:
Wow - you are asking a LOT of questions. The Monthly Payment Formula is really tricky so I'll solve that for you.
The time of the loan = 20 years * 12 = 240 months
We have to convert the annual rate to a monthly rate and that is done by:
monthly rate = 5.125 / 1,200 = 0.00427083333333333
Monthly pmt = 0.00427083333333333 + [0.00427083333333333 / (1.00427083333333333^240) -1 ] * 420,000
Monthly pmt = 0.00427083333333333 + [0.00427083333333333 / 2.7810190076 -1] * 420,000
Monthly pmt = (0.00427083333333333 +0.0023979718) * 420,000
Monthly pmt = 2,800.90
A calculator to double check is here: https://www.1728.org/calcloan.htm
Step-by-step explanation:
Given that <span>Line WX is congruent to Line XY and Line XZ bisects Angle WXY.
We prove that triangle WXZ is congruent to triangle YXZ as follows:
![\begin{tabular} {|c|c|} Statement&Reason\\[1ex] \overline{WX}\cong\overline{XY},\ \overline{XZ}\ bisects\ \angle WXY&Given\\ \angle WXY\cong\angle YXZ & Deifinition of an angle bisector\\ \overline{XZ}\cong\overline{ZX}&Refrexive Property of \cong\\ \triangle WXZ\cong\triangle YXZ&SAS \end{tabular}](https://tex.z-dn.net/?f=%5Cbegin%7Btabular%7D%0A%7B%7Cc%7Cc%7C%7D%0AStatement%26Reason%5C%5C%5B1ex%5D%0A%5Coverline%7BWX%7D%5Ccong%5Coverline%7BXY%7D%2C%5C%20%5Coverline%7BXZ%7D%5C%20bisects%5C%20%5Cangle%20WXY%26Given%5C%5C%0A%5Cangle%20WXY%5Ccong%5Cangle%20YXZ%20%26%20Deifinition%20of%20an%20angle%20bisector%5C%5C%0A%5Coverline%7BXZ%7D%5Ccong%5Coverline%7BZX%7D%26Refrexive%20Property%20of%20%5Ccong%5C%5C%0A%5Ctriangle%20WXZ%5Ccong%5Ctriangle%20YXZ%26SAS%0A%5Cend%7Btabular%7D)
</span>
Tanα=y/x
y=xtanα, we are told that x=25ft and α=30°
y=25tan30° ft
y≈14.43 ft (to nearest hundredth of a foot)
Since their home is 20 feet from the base of the tree, it poses no risk right now.
Answer:
1:26.25
Step-by-step explanation:
Scale = 16 in:35 ft
Convert 35 ft to inches
1 ft = 12 in
35 × 12/1 = 420 in
Scale = 16 in:420 in Divide each term by 16
Scale = 1:26.25
Since this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis So we have one point Now since the slope is comprised of the "rise" over the "run" this means Also, because the slope is , this means: which shows us that the rise is 3 and the run is 5.
Please mark brainliest! :)
