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Ipatiy [6.2K]
3 years ago
6

Please help with geomtry

Mathematics
1 answer:
notsponge [240]3 years ago
5 0
Angle ADB is a right angle, which is given.

The measure of ADB is 90 degrees by definition of right angle.

The two angles are a linear pair (aka they're supplementary) by definition of linear pair (they're formed by two intersecting lines).

The measure of BDC is 90 because BDC + ADB = 180 (definition of linear pair), and ADB = 90 (given).

BDC = ADB because 90 = 90


Overall, the two triangles are congruent by SAS.
You might be interested in
A committee of 15 members is voting on a proposal. Each member casts a yea or nay vote. On a random voting basis, what is the pr
Igoryamba

Answer:

0.006% probability that the final vote count is unanimous.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they vote yes, or they vote no. The probability of a person voting yes or no is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Random voting:

So 50% of voting yes, 50% no, so p = 0.5

15 members:

This means that n = 15

What is the probability that the final vote count is unanimous?

Either all vote no(P(X = 0)) or all vote yes(P(X = 15)). So

p = P(X = 0) + P(X = 15)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{15,0}.(0.5)^{0}.(0.5)^{15} = 0.00003

P(X = 15) = C_{15,15}.(0.5)^{15}.(0.5)^{0} = 0.00003

So

p = P(X = 0) + P(X = 15) = 0.00003 + 0.00003 = 0.00006

0.006% probability that the final vote count is unanimous.

7 0
3 years ago
Two students, Matt and Billy , each calculated the volume of a spherical ball with a dime tee of 15 centimeters. Their work is s
Aleksandr-060686 [28]

Answer:

Matt ;

Used diameter of the ball instead of Radius

Step-by-step explanation:

The volume of a sphere is given as :

4/3πr³

Radius, r = diameter / 2

Given that, the diameter = 15 cm ; The Radius = 15 / 2 = 7.5 cm

Matt made an error in his calculation by failing to covert the value of the diameter given to Radius.

By dividing the diameter by 2 = 15 / 2 = 7.5, we obtain the Radius, which is what Billy did in her own calculation.

7 0
2 years ago
Jeremiah work 5 days a week.if he earned $225 a day, how much does he earn per day?
Naddika [18.5K]
Uh do you mean he earned $225 per week?
If yes, then he earned 45 per day.
7 0
3 years ago
Solve the missing side in the right triangle below​
maw [93]

Answer: the root of 145 so b

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Evaluation the expression: 7 + 2^3
aleksklad [387]

Answer:

try " 15"

Step-by-step explanation:

3 0
3 years ago
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