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3 years ago

1. Write a two-column proof for the following conjecture. Given: K is the midpoint of . Prove: is an isosceles triangle.

Mathematics

1 answer:

Over [174]3 years ago

7 0

1. Angle LKM and Angle JKM are supplementary 1. LJ is a straight line, since K is a midpoint
2. LK = KJ 2. K is a midpoint
3. Angle L + Angle M + Angle LKM = Angle LKM + Angle MJK 3. A triangle's total degrees is equal to the total degrees of two supplementary angles.
4. Angle JKM = Angle L + Angle M 4. Simple Algebra: Subtract Angle
5. LK = KM 5. MK is intersecting LJ at a midpoint.
6. Triangle LKM is isoceles 6. Two of three sides and angles are equal.

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Three friends decide that they each want to be able to buy a new bike in four years.IIiana puts $500 in a savings account with a

Lisa [10]

Answer:

Iliana will have the most money, with a total of $580

Step-by-step explanation:

We can find the amount of money that each one will have using the formulas of interest:

For Iliana and Joann, simple interest: Total money = P + P*r*t

For Cyndy, compound interest: Total money = P*(1+r)^t

So, using the time of four years, we can calculate the total money of each one:

Iliana: P = 500 and r = 0.04:

Total money = 500 + 500*0.04*4 = $580

Joann: P = 515 and r = 0.03:

Total money = 515 + 515*0.03*4 = $576.8

Cyndy: P = 500 and r = 0.035:

Total money = 500*(1+0.035)^4 = $573.7615

So Iliana will have the most money, with a total of $580

6 0

3 years ago

Read 2 more answers

Factorise x - 2xz - 2xy + 4y². Show all the steps.

nirvana33 [79]

Answer:

1(x - 2xz - 2xy + 4y²)

Step-by-step explanation:

I notice that no term all of them have. which means itbwill be factorised via 1.

1(x - 2xz - 2xy + 4y²)

3 0

2 years ago

Какая фигура имеет ось симметрии и центр симетрий

Zigmanuir [339]

Answer:

Проведите линию через форму, чтобы каждая сторона была зеркальным отражением. Когда фигура складывается пополам по оси симметрии, две половинки совпадают. На этой фотографии белая линия по центру представляет собой вертикальную ось симметрии.

Step-by-step explanation:

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3 years ago

Three hundred twenty four million in numbers

LenaWriter [7]

24,000,300

Step-by-step explanation:

you mean twenty-four million and three hundred right? or Twenty million and three hundred thousand?

because that's not possible.

5 0

3 years ago

Read 2 more answers

Liam invests $5,000 in an account that pays 2.5% compound interest annually. He uses the expression P(1+r)t to find the total va

Zanzabum

Total = Principal × ( 1 + Rate )^years

Total = 5,000 * (1.025)^3
Total = 5,000 * 1.076890625 
Total = 5,384.45 

Source:
http://www.1728.org/compint.htm

6 0

3 years ago