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
Veseljchak [2.6K]
3 years ago
5

Identifying linear pairs and vertical angles

Mathematics
1 answer:
erik [133]3 years ago
3 0

Answer:

a. linear pair 5 & 6

b. pair of vertical angles 5 & 2

c. pair of angles that are congruent 3 & 8

Step-by-step explanation:

A linear pair of angles is formed when two lines intersect.

Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines. In simple words, vertical angles are located across from one another in the corners of the "X" formed by two straight lines.

If two angles are complements of the same angle (or congruent angles), then the two angles are congruent. All right angles are congruent.

You might be interested in
HELP ME OUT! A 15 foot ladder rests against a tree on level ground and forms a 75° angle of elevation. Where is the correct loca
mash [69]

Answer:

D. Between the ladder and the ground

Step-by-step explanation:

The 75° is made by the ladder leaning on the tree. So the angle would be from the ground up to the ladder.

3 0
2 years ago
Triangle E G F is shown. The length of E G is 10 and the length of E F is 12. Angle E F G is 56 degrees.
omeli [17]

Answer:

29

Step-by-step explanation:

Triangle E G F is shown. The length of E G is 10 and the length of E F is 12. Angle E F G is 56 degrees.

Trigonometric area formula: Area = One-half a b sine (C)

The area of triangle EFG is 34.8 square units. What is the perimeter of triangle EFG to the nearest unit?

29 units

30 units

41 units

60 units

7 0
3 years ago
According to New Jersey Transit, the 8:00 A.M. weekday train from Princeton to New York City has a 90% chance of arriving on tim
jonny [76]

Answer:

See explanation below.

Step-by-step explanation:

Assuming this problem: "According to New Jersey Transit, the 8:00 A.M. weekday train from Princeton to New York City has a 90% chance of arriving on time on a randomly selected day. Suppose this claim is true. Choose 6 days at random. Let W = the number of days on which the train arrives late. "

For this case we can check if the binomial model can be used checking conditions:

1) We satisfy that we have independent trials and is assumed for this case

2) We have a fixed value for the trials n =6 and for the probability p = 0.9 on each trial

3) We have bernoulli experiments on each trial since we have success or failure for each case.

So then since all the conditions are satisfied we can assume that the binomial model can be used here.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let W the random variable of interest "the number of days on which the train arrives late", on this case we now that:

W \sim Binom(n=6, p=0.9)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

We can find all the possible probabilities for all the possible values of X like this:

P(X=0)=(6C0)(0.9)^0 (1-0.9)^{6-0}=1x10^{-6}

P(X=1)=(6C1)(0.9)^1 (1-0.9)^{6-1}=5.4x10^{-5}

P(X=2)=(6C2)(0.9)^2 (1-0.9)^{6-2}=0.001215

P(X=3)=(6C3)(0.9)^3 (1-0.9)^{6-3}=0.01458

P(X=4)=(6C4)(0.9)^4 (1-0.9)^{6-4}=0.0984

P(X=5)=(6C5)(0.9)^5 (1-0.9)^{6-5}=0.354

P(X=5)=(6C5)(0.9)^6 (1-0.9)^{6-6}=0.531

4 0
3 years ago
Karen wants to place a lamp halfway between the
Bess [88]

Answer:

In D

Step-by-step explanation:

in d you can place the lamp there

3 0
2 years ago
What is the compounded interest if $410 is invested for 10 years at 8% compounded continuously
tatiyna
\bf \textit{Continuous Compounding Amount}\\\\
A=Pe^{rt}\qquad \begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$410\\
r=rate\to 8\%\to \frac{8}{100}\to &0.08\\
t=years\to &10
\end{cases}

so, that gives you  the compounded amount, after 10 years, if you want to know how much interest was earned? well, just subtract the Principal from the Amount, or A - P  <--- that's how much interest was earned
4 0
3 years ago
Read 2 more answers
Other questions:
  • at the dog show there are four times as many boxes as spaniels if there are a total of 30 dogs how many dogs are spaniels
    12·1 answer
  • Suppose you are given the coordinates of the vertices of a polygon. What steps could you take to solve a problem involving the p
    6·2 answers
  • How do you solve this and what is the answer
    8·1 answer
  • For f(x)=2x+1 and g(x)=x^2-7, find (f/g)(x)
    14·2 answers
  • The probability ofwinning a game is 25%. How manytimes
    12·2 answers
  • Please help it’s for geometry
    7·2 answers
  • Solve the equation using the method of factorisation-
    8·1 answer
  • Simplify each expression. Type your answer into the box. (8 – 4)2 x |4 – 8| =
    15·2 answers
  • The graph of an absolute value function contains the points (–3, 5), (0, 2) and (3, 5). Which could be the function represented
    5·1 answer
  • What is the slope of a line that is parallel to the line y= 3/4 x + 2?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!