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3 years ago

Which pair of triangles can be proven congruent by the HL theorem?

1 answer:

3 0

Explanation: The HL theorem is the hypotenuse leg theorem. The HL theorem is referred to the congruency of right triangles. This theorem states that two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.

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The probability of picking a red marble from a bag is 20%. What are the oddthe s in favor of picking a red marble?

photoshop1234 [79]

20 % = 20/100 = 1/5

1 red marble out of 5 total marbles

1 red marble and 4 not red marbles

odds in favor means number of favorable outcomes : number of unfavorable outcomes

this basically means red marbles : not red marbles

1: 4

3 0

3 years ago

maya plants 8 flower bulbs in the fall 2 purple 2 red and 4 pink find the probability that the first flower to bloom is pink

Natali5045456 [20]

Hello! So, you have 8 flowers. 2 are purple, 2 are red, and 4 are pink. That means, there are 4/8 or 1/2 Chance that the first flower to bloom will be pink. The probability is 1/2.

3 0

3 years ago

Now we are testing to see whether taking a vitamin supplement each day has significant health benefits. There are no (known) har

ZanzabumX [31]

Answer:

Concluding that people should take vitamin supplement each day when they don't help.

Step-by-step explanation:

We are given the following in the question:

Hypothesis:

Taking a vitamin supplement each day has significant health benefits and does not have any harmful side effects.

Null hypothesis:

Taking a vitamin supplement each day does not have have significant health benefits.

Alternate hypothesis:

Taking a vitamin supplement each day have have significant health benefits.

Type I error:

It the error of rejecting the a true null hypothesis.

So error I for this situation would be concluding that people should take vitamin supplement each day when they don't help.

3 0

3 years ago

A short necklace has 32 gold beads and 8 black beads.

Katena32 [7]

I think there are 12
so there are 40 beads on the short one
and 60 on the long one so i multiplied 8*1.5 and got 12

3 0

3 years ago

The Fibonacci sequence is defined by $F_1 = F_2 = 1$ and $F_{n + 2} = F_{n + 1} + F_n$. Find the remainder when $F_{1999}$ is di

zavuch27 [327]

Answer:

The remainder is 1

Step-by-step explanation:

Given the Fibonacci sequence

F_1 = F_2 = 1, and

F_(n + 2) = F_(n + 1) + F_n

We want to find the remainder when F_(1999) is divided by 5.

Let us write the first 20 numbers of the sequence in (mod 5). They are

F_1 = 1,

F_2 = 1,

F_3 = 2,

F_4 = 3,

F_5 = 5 = 0 (mod 5),

F_6 = 3,

F_7 = 3,

F_8 = 1

F_(9) = 4

F_(10) = 0

F_(11) = 4

F_(12) = 4

F_(13) = 3

F_(14) = 2

F_(15) = 0

F_(16) = 2

F_(17) = 2

F_(18) = 4

F_(19) = 1

F_(20) = 0

We have: 1, 1, 2, 3, 0, 3, 3, 1, 4, 0, 4, 4, 3, 2, 0, 2, 2, 4, 1, 0

Now, 1999 = 19(mod 20)

The 19th number in the sequence is 1.

So, the remainder is 1.

6 0

3 years ago