1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
german
2 years ago
8

Consider the following figure:

Mathematics
1 answer:
motikmotik2 years ago
5 0

Answer:

angle <B = 76

Step-by-step explanation:

The measure of an exterior angle is equal to sum of two interior angles that is not adjacent to the exterior angle.

We can write the following equation with this information to find the value of angle <B

<B + 71 = 147 subtract 71 from both sides

<B = 76

You might be interested in
A given line has the equation 10x+2y=-2.
Iteru [2.4K]

The equation of a line of the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

If two lines are parallel then their slopes are equal.

We have the following line:

10x + 2y = -2\\2y = -10x-2\\y = -5x-1

Thus, the slope of the line is -5.

Therefore a parallel line is of the form:

y = -5x + b

We replace the point (0,12)

12 = -5 (0) + b\\12 = b

Finally, the equation is of the form:

y = -5x + 12

Answer:

5x + y = 12

8 0
3 years ago
Given a+b=7 and a–b=3, find:<br><br> 2^a*2^b
seropon [69]

Answer:

128

Step-by-step explanation:

5+2=7

5-2=3

2^5=32

2^2=4

32*4=128

Hope this helps:)

7 0
3 years ago
Rob notices that 55 percent of the people leaving the supermarket chhose plastic bags instead of paper bags. out of 600 people,
Bumek [7]
To solve this answer, you are trying to find 55% of 600, because that is the number of people who chose plastic bag.

55% can be re-written as 55/100 OR 0.55 since percentages are always out of 100.

So, we do 0.55*600, which gives us 330. 330 people carry plastic bags.
5 0
3 years ago
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
Can you help me with question please thank you
user100 [1]
43 degrees because they are congruent so angle p is equal to angle k
5 0
3 years ago
Other questions:
  • Simplify to create an equivalent expression <br> 1+4(6p-9)
    7·2 answers
  • What value does each equation need to be multiplied by in order to eliminate the x terms equation 1 6x-5y=-4 equation 2 4x+2y=28
    5·2 answers
  • Which of these numbers have 8 as a factor
    5·1 answer
  • Which of the following is defined by a line divides two sides of a triangle
    6·1 answer
  • Which property does the statement illustrate? Column A Column B 1. (p + 3) + q = p + (3 + q) 2. 8 + (9 + 4) = (8 + 9) + 4 3. 4(x
    12·2 answers
  • Hi dev lol hahahahhahahahahahahahahahahahahaha
    9·1 answer
  • HELPPPP
    15·1 answer
  • Assume that the GMAT scores across the U.S. follow a bell shaped distribution (symmetric and unimodal) with mean 549 and standar
    5·1 answer
  • Three good friends are in the same algebra class. Their scores on a recent test are three consecutive integers whose sum is 252
    7·1 answer
  • A six sided die is tossed. Determine the odds against rolling a 3.<br><br> The odds are :
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!