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Lelu [443]
3 years ago
12

In the figure, ∠1 ≅ ∠2, ∠3 ≅ ∠4, and . You can justify the conclusion that ∠TKL ≅ ∠TLK by stating _____

Mathematics
2 answers:
Amiraneli [1.4K]3 years ago
5 0
The answer is "that supplements of congruent angles are congruent" because in order for the angles to be congruent to complete SAS their supplements must be congruent.
VladimirAG [237]3 years ago
3 0
From the question, we know that we will be looking at <3, <4, and angles TKL and TLK. That being said, since <3 is congruent to <4, that means that angles TKL and TLK, which are each supplementary to either angle 3 or 4, are congruent because, since angles 3 and 4 are congruent, they are congruent because the supplements of congruent angles are congruent. 
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What is the sum of the arithmetic sequence 151, 137, 123,..if there are 26 terms?
ElenaW [278]
First term: a1 = 151
common difference: d = -14 (we decrease by 14 each time, eg, 151-14 = 137)

nth term of this arithmetic sequence is...
an = a1+d(n-1)
an = 151+(-14)(n-1)
an = 151-14n+14
an = -14n+165

This will be used in the formula below

Sn = n*(a1+an)/2
<span>Sn = n*(151+(-14n+165))/2
</span><span>S26 = 26*(151+(-14*26+165))/2 ... replace every n with 26
</span>S26 = -624

The final answer here is choice C) -624
<span>
</span>
5 0
3 years ago
Big Brothers, Inc. borrows $267,999 from the bank at 18.16 percent per year, compounded annually, to purchase new machinery. Thi
Katyanochek1 [597]

Based on the amount borrowed and the interest per year, Big Brothers, Inc will pay an annual payment of $59,973.15.

<h3>How much will Big Brothers, Inc. pay annually?</h3>

This can be found by using the present value of an annuity formula because the annual payment will be constant and therefore like an annuity.

Formula is:

Present value of annuity = Annual payment x ( 1 - (1 + rate) ^ -number of periods) / rate

Solving gives:

267,999 = Amount x ( 1 - ( 1 + 18.16%)⁻¹⁰) / 18.16%

267,999 = Amount x 4.46865

Amount = 267,999 / 4.46865

= $59,973.15

Find out more on loan present value at brainly.com/question/15088278.

#SPJ1

6 0
2 years ago
A realtor earns 3% commission on a home she sells.
erica [24]

Answer: $ 200,000

Step-by-step explanation: The 6000 is 3% of the original price, so 6000/3 = x/100. To find the price of the home we will need to cross multiply and divide.

6000/3 = x/100

6000 * 100 = 600000

600000 / 3 = 200,000

4 0
3 years ago
Read 2 more answers
Geometry question <br><br>congruency
True [87]

Answer:

The first one because if add all of the angles together they are the same.

<JKL = 180

<WXY = 180

The second one because the angles are the same.

Step-by-step explanation:

3 0
3 years ago
Factorise fully<br> 2x+14
Y_Kistochka [10]

Answer:

2 (x + 7)

Step-by-step explanation:

2x + 14

2 (x+7)

I hope this helps

8 0
3 years ago
Read 2 more answers
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