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3 years ago

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: 1=60°

Step-by-step explanation:

First, let's take our given angle of 30°

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

Now the angle that is 45° makes angle 1 congruent to angle 60°

Meaning angle 1 is 60°

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Am i right?? this is a graded assignment and no links!!

Darya [45]

Answer:

yes

Step-by-step explanation:

6 0

3 years ago

The larger of two numbers is five more than twice the smaller number. The sum of the two numbers is 38. Find the numbers.

White raven [17]

Answer:

11 and 16

Step-by-step explanation:

A good way to solve these is to work backwards.

X= larger and Y= smaller

if X is 5 more than 2Y than subtract 5 from the total

38 - 5 = 33

divide by 3

33/3 = 11

11 = Y and double that is 22 so add the five back into X and you get 16

8 0

4 years ago

Find the difference between 0.1 kg and 75g

Marrrta [24]

Answer:

25 g

Step-by-step explanation:

0.1 kg can be written as 100 grams

& 75 g

while 1 kg is 1000 grams

so difference:-

(100- 75 ) grams

= 25 g

8 0

3 years ago

Read 2 more answers

in geometry. the sum of the lengths of the two legs x and y in a triangle must be greater than the hypotenuse c

meriva

The answer is that the sum of x and y should be less than c

8 0

4 years ago

Consider the following binomial experiment. The probability that a green jelly bean is chosen at random from a large package of

Flura [38]

Answer:

There is a 5.79% probability that at most 2 jelly beans are chosen.

Step-by-step explanation:

For each jelly bean chosen, there are only two possible outcomes. Either it is green, or it is not. This is why we use the binomial probability distribution to solve this problem.

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 we have that:

There are 13 jelly beans, so $n = 13$ .

The probability that a green jelly bean is chosen at random from a large package of jelly beans is 2/5. This means that $p = 0.4$ .

If Sally chooses 13 jelly beans, what is the probability that at most two will be green jelly beans?

This is

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)$ .

In which

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

$P(X = 0) = C_{13,0}.(0.4)^{0}.(0.6)^{13} = 0.0013$

$P(X = 1) = C_{13,1}.(0.4)^{1}.(0.6)^{12} = 0.0113$

$P(X = 1) = C_{13,2}.(0.4)^{2}.(0.6)^{111} = 0.0453$

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0013 + 0.0113 + 0.0453 = 0.0579$ .

There is a 5.79% probability that at most 2 jelly beans are chosen.

8 0

3 years ago