ABC is isosceles with AB=AC=8 units and BC=6 units. D and E are midpoints of AB and BC respectively. what is the length of DE
Answers
The length of DE is 4 unit.
What is Proportion?
In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal.
According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
We have ABC is isosceles with AB=AC=8 units and BC=6 units.
and, ABC is a bigger triangle with AB = AC = 8 and BC = 6
Smaller triangle BDE is created by joining D and E, which represent the middles of AB and BC, respectively.
The midpoint is D. AB = 8 then AD = 4.
Also, BE = 4.
Triangles ABC and BDE are similar triangles.
DE/ AC = BD/ AB = BE/ BC
DE/ 8 = 4/8 = 3/6
DE = 4.
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Related Questions
Samuel pulls two coin out of his pocket randomly without replacement. If his pocket contains one nickel, one dime, and one quarter, what is the probability that he pulled more than 20 cents out of his pocket? Justify your work by creating a tree diagram or a sample space.
Marge cuts 16 pieces of tape. each piece is 3/8 inches long. how much tape did she use
If set D is not the empty set but is a subset of set E, then which of the following is true? D ∩ E = D D ∩ E = E D ∩ E = Ø
Solve each equation by taking square roots 9r^2 +3=-204
B.) (2x + 3)(3x + 2)
C.) (2x + 6)(3x + 1)
D.) (6x + 1)(6x + 1)
Answers
The correct answer is option B.) (2x + 3)(3x + 2).
Given that the factored form of 6 + 13x + 6 is equivalent to which of the following.
A.) (x + 4)(x + 9)
B.) (2x + 3)(3x + 2)
C.) (2x + 6)(3x + 1)
D.) (6x + 1)(6x + 1)
To determine the factored form of the quadratic expression 6 + 13x + 6, we can apply the factoring technique. We are looking for two binomials in the form (px + q)(rx + s) that, when multiplied, result in the original expression.
To factor the expression, we need to find two numbers whose product is equal to 6 * 6 = 36 and whose sum is equal to 13.
The numbers that satisfy these conditions are 4 and 9.
Therefore, the factored form of the expression is:
(2x + 3)(3x + 2)
So, the correct answer is option B.) (2x + 3)(3x + 2).
Learn more about factoring quadratic expressions click here: brainly.com/question/14680354
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A: Predicting the gender of a randomly chosen art teacher if 1 of 3 art teachers is female
B: Predicting the gender of a randomly chosen history teacher if 12 of 15 history teachers are female
C: Predicting the gender of a randomly chosen biology teacher if 8 of 12 biology teachers are female
D: Predicting the gender of a randomly chosen chemistry teacher if 4 of 9 chemistry teachers are female
E: Predicting the gender of a randomly chosen health teacher if 2 of 4 health teachers are female
Answers
Answer:
A: Predicting the gender of a randomly chosen art teacher if 1 of 3 art teachers is female.
C: Predicting the gender of a randomly chosen biology teacher if 8 of 12 biology teachers are female.
E: Predicting the gender of a randomly chosen health teacher if 2 of 4 health teachers are female.
Step-by-step explanation:
Notice that the spinner has 6 equal sections.
So, all situations that can be simulated with such spinner must be multiples, divisors of 6, or a number least than 6, that way, we could use the 6 equal-section spinner.
Option A uses 1 of 3, Option B uses 8 of 12, and Option E uses 2 of 4.
Therefore, the anwers are A, C and E.
Answer: A C E
Step-by-step explanation:
20%...0.4
30% ...0.3
35% ...0.1
The table gives the probability distribution of the annual rate of return on the stock of MNP Company, Inc.
The expected value of the rate of return is ______%.
Answers
Answer: The expected value of the rate of return is 23.5%.
Step-by-step explanation:
Since we have given that
Annual Return Probability
15% 0.2
20% 0.4
30% 0.3
35% 0.1
We need to find the expected value of the rate of return:
As we know the formula for "Expected value ":
So, it becomes,
Hence, the expected value of the rate of return is 23.5%.
15%*0.2 + 20%*0.4 + 30%*0.3 + 35%*0.1 = 23.5%
Answer:
The expected value of the rate of return is 23.5%
Answers
if you want just round to 1.9
Answers
without any calculator:
Let's x the square root of 122
121<x²<144 ==>11²<x²<12²
==>11<x<12
as 11.5²=11.5*11.5=132.25 ==>11<x<11.5
x is near 11 than from 12
Answer= 11.
B)12144
c)13824
Answers
The total number of combinations is thus: 24 x 23 x 22= 12,144
1st slot=24 options
2nd slot=23 options (1 went to 1st slot)
3rd slot=22 options (another to previous slot)
multiply them
24*23*22=12144 ways
B