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4 years ago

I’m really struggling with these proofs. We just started learning them and I’m highly confused!! Please help :)

Mathematics

1 answer:

gulaghasi [49]4 years ago

8 0

I'm not sure about what exactly your teacher is looking for, but the actual congruency conjecture you would use is:

(angle symbol) 1 (congruency symbol) (angle symbol) 8 - Because they are alternate exterior angles

You might be interested in

What is 1 4/7 as a improper fraction

Serhud [2]

Hello there,

To write an improper fraction you will have to divide whole number by denominator than add the numerator...

7 * 1 = 7

7 + 4 = 11

The denominator stays the same...

11/7

Answer: 11/7

Hope I helped!!

-Char

3 0

3 years ago

Read 2 more answers

If events A and B are mutually exclusive, P(A or B) = 0.5, and P(B) = 0.3; then what is P(A)?

11Alexandr11 [23.1K]

Answer:

$P(A) = 0.2$

Step-by-step explanation:

We have that:

$P(A) = P(a) + P(A \cap B)$

In which P(a) is the probability of a but not b and $P(A \cap B)$ is the probability of both A and B.

By the same logic, we have that:

$P(B) = P(b) + P(A \cap B)$

Also

P(A or B) is

$P(A \cup B) = P(a) + P(b) + P(A \cap B)$

Events A and B are mutually exclusive

This means that $P(A \cap B) = 0$

$P(B) = 0.3 = P(b)$

$P(A \cup B) = P(a) + P(b) + P(A \cap B)$

$0.5 = P(a) + 0.3$

$P(a) = 0.2$

$P(A) = P(a) + P(A \cap B) = 0.2 + 0 = 0.2$

4 0

4 years ago

X^2-12x+36=0 X= Solve for x

solong [7]

Answer:

Step-by-step explanation:

X^2-12x+36=0

X^2 - 8x - 4x + 36 = 0

(x^2 -8x) - (4x - 36) = 0

x(x - 8) - 4(x - 8) = 0

(x - 4)(x - 8) = 0

:- x - 4 = 0 or x - 8 = 0

x = 4 or x = 8

8 0

4 years ago

Read 2 more answers

g A sanitation supervisor is interested in testing to see if the mean amount of garbage per bin is different from 50. In a rando

Tema [17]

Answer:

We accept the null hypothesis, that is, the the mean amount of garbage per bin is not different from 50.

Step-by-step explanation:

A sanitation supervisor is interested in testing to see if the mean amount of garbage per bin is different from 50.

This means that the null hypothesis is:

$H_{0}: \mu = 50$

And the alternate hypothesis is:

$H_{a}: \mu \neq 50$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

50 tested at the null hypothesis:

This means that $\mu = 50$

In a random sample of 36 bins, the sample mean amount was 50.67 pounds and the sample standard deviation was 3.9 pounds.

This means that $n = 36, X = 50.67, \sigma = 3.9$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{50.67 - 50}{\frac{3.9}{\sqrt{36}}}$

$z = 1.03$

p-value:

Since we are testing if the mean is differente from a value and the z-score is positive, the pvalue is 2 multipled by 1 subtracted by the pvalue of z = 1.03.

z = 1.03 has a pvalue of 0.8485

1 - 0.8485 = 0.1515

2*0.1515 = 0.3030

0.3030 > 0.01, which means that we accept the null hypothesis, that is, the the mean amount of garbage per bin is not different from 50.

5 0

3 years ago

Carol drove 720 km in 9 hours. What was her rate in km/hr? Please help

Nastasia [14]

Answer:

80 km/hr

Step-by-step explanation:

This is asking for speed.

Speed=Distance/Time

Speed=720/9

Speed=80 km/hr

4 0

3 years ago