If the perimeter of an isosceles triangle is 36 cm and if the altitude to its base is 12cm, what is the triangle's area

OI 00 R b) From the given figure: write the alternate angle of angle RUN P $ 2

Ainat [17]

Answer:

alternate angle to angle RUN is angle POU

Step-by-step explanation:

Alternate angles are defined as angles that are located in opposite positions when we look at them relative to a transverse line that intersects two horizontal lines.

Now, we want to find the alternate angle to angle RUN.

The same transverse line cuts the other horizontal line PQ at point O.

Therefore the alternate angle to angle RUN is angle POU

7 0

3 years ago

A line passes through the points (2,4) and (5,6) .

Alenkinab [10]

Answer:

Option B and D are correct.

Step-by-step explanation:

Given: A line passes through the points (2,4) and (5,6).

* Case 1:

If a line passes through the points (2, 4) and (5, 6)

Point slope intercept form:

for any two points $(x_1,y_1)$ and $(x_2, y_2)$

then the general form $y -y_1=m(x-x_1)$ for linear equations where m is the slope given by:

$m =\frac{y_2-y_1}{x_2-x_1}$

First calculate slope for the points (2, 4) and (5, 6);

$m = \frac{y_2-y_1}{x_2-x_1} =\frac{6-4}{5-2} = \frac{2}{3}$

then, by point slope intercept form;

$y-4=\frac{2}{3}(x-2)$

* Case 2:

If a line passes through the points (5, 6) and (2, 4)

First calculate slope for the points (5, 6) and (2, 4);

$m = \frac{y_2-y_1}{x_2-x_1} =\frac{4-6}{2-5} = \frac{-2}{-3}= \frac{2}{3}$

then, by point slope intercept form;

$y-6=\frac{2}{3}(x-5)$

Yes, the only equation of line from the given options which describes the given line are;

$y-4=\frac{2}{3}(x-2)$ and $y-6=\frac{2}{3}(x-5)$

8 0

3 years ago

A Game of Thrones fan predicts there is a 70% chance that her favorite character will survive the next season and a 75% chance t

zepelin [54]

Answer:

The probability that the second favorite character will die given that the first favorite character dies is 0.53

This kind of probability is called conditional probability

Explanation:

Name the events and their probabiities:

Event A: her favorite character will survive, so P (A) = 0.70

Event B: her her second favorite character will die, so P(B) = 0.75

Both characters will die ⇒ P (B and not A) = 0.16

You want to find P (B | not A).

That is the probability of the succes B (the second favorite character will die) given other event (not A or the first favorite character dies) is certain (it happens) and that is called conditional probability.

P (not A) is the complement probability of A, so P (not A) = 1 - P(A) = 1 - 0.7 = 0.3

So, you have P(B), P(not A) and want to find P (B | not A)

The definition of conditional probability is:

P (X | Y) = P (X and Y) / P (Y)

So, replacing with our terms, we get:

P ( B | not A) = P (B and not A) / P (not A) = 0.16 / 0.3 ≈ 0.53

5 0

3 years ago

HELP!!!!!!!!!!!

erica [24]

Your answer would be (b.) because -2+-3=-5

3 0

3 years ago

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What is the value of x in the equation 2(2x − 5 − 4) = 160 − 17?

dem82 [27]

Answer:

x=40.25

Step-by-step explanation:

5 0

2 years ago

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