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
lys-0071 [83]
3 years ago
14

Geomotry 10th grade easy 25 points

Mathematics
2 answers:
Andrej [43]3 years ago
7 0

Answer:

m < 1 = 60

Step-by-step explanation:

Since the transversal is perpendicular to m,

it implies that the triangle formed by the perpendicular transversal, the slant transversal and the line m is a right angle triangle.

We use vertically opposite angles property to bring m<1 in to the right triangle.

We now use the sum of interior angles property to obtain,

m < 1 + 30 + 90 = 180

This implies that,

m  < 1 + 120 + 180

We group like terms to obtain,

m < 1 = 180 - 120

This means that,

m < 1 = 60

We could have also used corresponding angles property, then

m < 1 + 30 = 90

m < 1 = 90 - 30

m < 1 = 60

Dimas [21]3 years ago
3 0

Answer: <em>1=60°</em>

Step-by-step explanation:

<em>First, let's take our given angle of 30°</em>

<em>30° is in a right triangle, so the angles must be 90°, 60°, and 30°</em>

<em>Now the angle that is 45° makes angle 1 congruent to angle 60°</em>

<em>Meaning angle 1 is </em><em>60°</em>

You might be interested in
A food-packaging apparatus underfills 10% of the containers. Find the probability that for any particular 10 containers the numb
Maksim231197 [3]

Answer:

a) P(X = 1) = 0.38742

b) P(X = 3) = 0.05740

c) P(X = 9) = 0.00000

d) P(X \geq 5) = 0.00163

Step-by-step explanation:

For each container, there are only two possible outcomes. Either it is undefilled, or it is not. This means that we can solve this problem using the binomial probability distribution.

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 combinatios 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.

In this problem

There are 10 containers, so n = 10.

A food-packaging apparatus underfills 10% of the containers, so p = 0.1.

a) This is P(X = 1)

P(X = 1) = C_{10,1}.(0.1)^{1}.(0.9)^{9} = 0.38742

b) This is P(X = 3)

P(X = 3) = C_{10,3}.(0.1)^{3}.(0.9)^{7} = 0.05740

c) This is P(X = 9)

P(X = 9) = C_{10,9}.(0.1)^{9}.(0.9)^{1} = 0.00000

d) This is P(X \geq 5).

Either the number is lesser than five, or it is five or larger. The sum of the probabilities of each event is decimal 1. So:

P(X < 5) + P(X \geq 5) = 1

P(X \geq 5) = 1 - P(X < 5)

In which

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

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

P(X = 0) = C_{10,0}.(0.1)^{0}.(0.9)^{10} = 0.34868

P(X = 1) = C_{10,1}.(0.1)^{1}.(0.9)^{9} = 0.38742

P(X = 2) = C_{10,2}.(0.1)^{2}.(0.9)^{8} = 0.1937

P(X = 3) = C_{10,3}.(0.1)^{3}.(0.9)^{7} = 0.05740

P(X = 4) = C_{10,4}.(0.1)^{1}.(0.9)^{9} = 0.38742

So

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.34868 + 0.38742 + 0.19371 + 0.05740 + 0.01116 = 0.99837

Finally

P(X \geq 5) = 1 - P(X < 5) = 1 - 0.99837 = 0.00163

3 0
3 years ago
If 56% of people own a dog and 5 people are chosen at random, what is the probability that at least one person owns a dog?
wariber [46]

Answer:

2.8

Step-by-step explanation:

we do 56% times 5= 2.8

so 2.8 is your answer

(this answer was given by my friend who claims this is true.)

4 0
2 years ago
Sarah made 12 more free throws than Connie. How many free throws did Connie make if Sarah made 72?
Annette [7]
Connie made 60 throws and Sarah made 72.
4 0
3 years ago
Read 2 more answers
What is the slope of the line represented by y = 5x - 7?​
Ghella [55]
The slope of the line is 5/1 because the number by the x is always your slope and it is always to be announced as a fraction so you add 1 as the denominator if there isn’t already a denominator.
6 0
3 years ago
Read 2 more answers
What is the slope of the line perpendicular to the line with equation 4x-5y+13=0
motikmotik

Answer:

m = - 5/4

Step-by-step explanation:

If two lines are perpendicular, their slopes are negative reciprocals, which means that their product is -1

We can write the equation

4*x - 5*y + 13  = 0

as:      5*y  =  4*x  + 13      or    

y  = (4/5)*x  + 13        (1)

Equation (1) is the equation of a straight line in its slope point form, 4/5 is the slope, according to this  the slope of a perpendicular line is

-5/4

4 0
3 years ago
Other questions:
  • or the end-of-year party, Mt. Rose Middle School ordered 112 pizzas. There were eight fewer veggie pizzas than there were pepper
    10·2 answers
  • Please explain to me!!!!!!!!!!!!!!!
    11·1 answer
  • Kara buys 24 bagels. Ten are whole wheat. What fraction of the bagels are wheat? Write in simplest form.
    6·2 answers
  • Write the point-slope form of the line that passes through (5, 5) and is perpendicular to a line with a slope of . Include all o
    15·1 answer
  • How do you solve 2p+5r=q for p?
    13·1 answer
  • A similar follow-up study is done on a sample of 25 meat-lovers who never eat vegetables, again randomly selected from the same
    14·1 answer
  • Erin covered a box with contact paper. the dimensions of the box are shown in the figure below, 9 inches, 11 inches, 8 inches. t
    6·2 answers
  • A recent survey of 128 high school students indicated the following information about release times from school
    7·1 answer
  • (8+3)(-1) Distributive Property
    13·2 answers
  • Can’t figure this out, I keep getting it wrong
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!