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3 years ago

If two straight lines intersect and one angle is 30 degrees what are the other three angles

2 answers:

3 0

Easey peasy
oposite angle is equal
other angles are supplementary (supplementary means add to 180, and a straight line=180 so if you look at 2 lines intersecting and think for a little bit, you wiill see why)

oposite angle=30
other angle is adds to 180
30+other=180
subtract 30
other=150
other is oposite other other
other=other other
150=other other

angles are
150,30,150

Zarrin [17]3 years ago

3 0

Well when 2 lines intersect, there are 4 angles. The opposite angles are the same degrees. Since one angle is 30 degrees, the opposite angle is 30. So 30+30 is 60. Now all the 4 angles added up should be 360 degrees. So 360-60 is 300. Now 300 divided by 2 is 150 so the other 2 angles are 150 degrees.

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There are eleven people on a softball team and nine different positions. Work through the questions to determine how many ways a

jek_recluse [69]

Answer:

19958400

1814400

Step-by-step explanation:

* Lets explain how to solve the problem

- Permutation is the act of arranging the members into order

- The number of permutations of n members taken r at a time is

denoted by nPr

- nPr = n!/(n - r)! , where n! means n(n - 1)(n - 2)(n - 3) ......... × 1

* Lets solve the problem

- There are eleven people on a softball team

∴ n = 11

- There are nine different positions

∴ r = 9

∴ The number of ways can be made = 11P9

∵ 11P9 = 11!/(11 - 9)! = 11!/2! = 19958400

* The number of total arrangements of the player is 19958400

- If Amy does not want to play pitcher

∵ They are 11 players

∴ The number of players can be pitch = 11 - 1 = 10

* If Amy does not want to play pitcher, then there are now 10 people

available to pitch

- Assuming the pitcher has already be chosen

∴ There are 10 remaining players

∵ The positions are 9

∴ The remaining positions = 9 - 1 = 8

* There are 8 remaining positions

- Lets find how many ways to arrange the remaining positions

∵ n = 10

∵ r = 8

∴ 10P8 = 10!/(10 - 8)! = 10!/2! = 1814400

* The number of ways to arrange the remaining players is 1814400

4 0

2 years ago

Read 2 more answers

A common blood test performed on pregnant women to screen for chromosome abnormalities in the fetus measures the human chorionic

goldfiish [28.3K]

Answer:

(a) The proportion of women who are tested, get a negative test result is 0.82.

(b) The proportion of women who get a positive test result are actually carrying a fetus with a chromosome abnormality is 0.20.

Step-by-step explanation:

The Bayes' theorem states that the conditional probability of an event E $_{i}$ , of the sample space S, given that another event A has already occurred is:

$P(E_{i}|A)=\frac{P(A|E_{i})P(E_{i})}{\sum\liits^{n}_{i=1}{P(A|E_{i})P(E_{i})}}$

The law of total probability states that, if events E₁, E₂, E₃... are parts of a sample space then for any event A,

$P(A)=\sum\limits^{n}_{i=1}{P(A|B_{i})P(B_{i})}$

Denote the events as follows:

X = fetus have a chromosome abnormality.

Y = the test is positive

The information provided is:

$P(X)=0.04\\P(Y|X)=0.90\\P(Y^{c}|X^{c})=0.85$

Using the above the probabilities compute the remaining values as follows:

$P(X^{c})=1-P(X)=1-0.04=0.96$

$P(Y^{c}|X)=1-P(Y|X)=1-0.90=0.10$

$P(Y|X^{c})=1-P(Y^{c}|X^{c})=1-0.85=0.15$

(a)

Compute the probability of women who are tested negative as follows:

Use the law of total probability:

$P(Y^{c})=P(Y^{c}|X)P(X)+P(Y^{c}|X^{c})P(X^{c})$

$=(0.10\times 0.04)+(0.85\times 0.96)\\=0.004+0.816\\=0.82$

Thus, the proportion of women who are tested, get a negative test result is 0.82.

(b)

Compute the value of P (X|Y) as follows:

Use the Bayes' theorem:

$P(X|Y)=\frac{P(Y|X)P(X)}{P(Y|X)P(X)+P(Y|X^{c})P(X^{c})}$

$=\frac{(0.90\times 0.04)}{(0.90\times 0.04)+(0.15\times 0.96)}$

$=0.20$

Thus, the proportion of women who get a positive test result are actually carrying a fetus with a chromosome abnormality is 0.20.

6 0

3 years ago

Delta pays Pete Rose $360 per day in the maintenance department at air port. Pete became I'll Monday and went home after 1/5 of

Brrunno [24]

Answer:

$72 earned on monday

Step-by-step explanation:

Delta pays Pete Rose $360 per day in the maintenance department at air port. Pete became I'll Monday and went home after 1/5 of a day

Delta works for only 1/5 of the day

To get the amount earn , multiply the work done by the rate

$\frac{1}{5} \cdot 360 =72$

So $72 earned on monday

6 0

3 years ago

What is the area of this parrelogram

Dmitrij [34]

Answer:

no parallelogram, mr clean thus cannot answer.

7 0

2 years ago

Carly's family traveled 3/10 of the distance to her grandmother's house on Saturday. They traveled 3/7 of the remaining distance

polet [3.4K]

Answer:

3/10 of the total distance to her grandmother's house was traveled on Sunday

Step-by-step explanation:

Carly's family traveled distance of Saturday = $\frac{3}{10}$

Remaining distance = $1-\frac{3}{10}=\frac{7}{10}$

They traveled 3/7 of the remaining distance on Sunday.

So, Distance traveled on Sunday = $\frac{3}{7}(\frac{7}{10})$

Distance traveled on Sunday = $\frac{3}{10}$

Fraction of the total distance to her grandmother's house was traveled on Sunday = $\frac{3}{10}$

Hence 3/10 of the total distance to her grandmother's house was traveled on Sunday

5 0

3 years ago