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Aleks [24]
3 years ago
6

Please help me, WORST TEACHERR!

Mathematics
1 answer:
notsponge [240]3 years ago
8 0
Answer: 

b. The supplements of congruent angles are congruent

Explanation:

Note that \angle TKL is a supplement of \angle 3 and \angle TLK is a supplement of \angle 4. 

Since \angle 3 \cong \angle 4, \angle TKL \cong \angle TLK because the supplement of the congruent angles are congruent.
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Lamont retired at age 55 and rolls over $300500
Arlecino [84]

If Lamont withdraws $2,750 monthly, he will be <u>66 years old</u> (after 134.326 months) when the money runs out.

<h3>How is the number of monthly withdrawals calculated?</h3>

We can calculate the number of monthly withdrawals using an online finance calculator.

It determines the number of periods it will take for the investment to be exhausted, given an interest rate of 3.8%.

I/Y (Interest per year) = 3.8%

PV (Present Value) = $300,500

PMT (Periodic Payment) = $-2750

FV (Future Value) = $0

<u>Results</u>:

N = 134.326 months

Years = 11 years (134.326/12)

Age at FV = $0 is 66 years (55 + 11)

Sum of all periodic payments = $-369,397.09 (134.326 x $-2,750)

Total Interest = $68,897.09

Thus, making a monthly withdrawal of $2,750 will exhaust the investment when Lamont turns <u>66</u>.

Learn more about periodic withdrawals and payments at brainly.com/question/13031679

#SPJ1

3 0
1 year ago
Line BD is tangent to circle O at C, Arch AEC = 299, and ACE = 93. Find Angle DCE.
VladimirAG [237]
In triangle ACE,
we know C=93,E can be calulated by using arch angle AEC...what ever that is....,using this we get  A=180-(E+93)

So, by alternate segment theorem, DCE= A.

thats all i can say.
7 0
3 years ago
The coordinates of the endpoints of the diameter of a circle are (-1,5) and (3, -1). The center of the circle has coordinates
Setler79 [48]

Answer:

ans=(-2,2)

Step-by-step explanation:

let the end point of circle diameter (-1,5) and (3,-1) be (x1,y1) and (x2,y2) respectively

using mid point formula

(x,y)=(-1,5)/2+(-3,-1)/2  [center point is equal to mid point of  diameter)

       =  (-1+(-3))/2+(5-1)/2

       =(-2,2)

center coordinate of circle=(-2,2)

3 0
3 years ago
Read 2 more answers
Maria bought 16 books. Maria bought 8 times as many books as Dale. Let b be the number of books that Dale bought. Write an equat
guajiro [1.7K]
Since Maria bought 16 books, and b represents the number Dale had; you can divide 16 by 8 to get the number b of books Dale has. 16/8=2 

Hope this helped!
4 0
3 years ago
Find the dot product of two given vectors, u = &lt;1,6&gt; and v = &lt;-5,-2&gt;
Crank
U.v = (1*-5) + (6*-2)  =  -5 - 12 = -17 <------- Answer
6 0
3 years ago
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