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vaieri [72.5K]
3 years ago
7

Help plz...

Mathematics
1 answer:
quester [9]3 years ago
3 0

Answer:

B. Sum of interior angles; converse of opposite angles theorem

Step-by-step explanation:

In statement 1, all the interior angles of the quadrilateral are added to give a sum of 360°. The reason would therefore be "sum of interior angles".

As a follow up to the already established fact that the opposite angles of the quadrilateral are congruent to each other, this satisfies the Converse of Opposite Angles Theorem, which states that if the opposite angles of a quadrilateral are congruent to each other then the quadrilateral must be a parallelogram.

Reason for the statement in number 6 is definitely "converse of opposite angles theorem."

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A bowl has only red, green, and purple grapes. The probability of picking a red grape out of the bowl, eating it, and then picki
Xelga [282]

The probability of picking a green grape is 1/2.

<h3>What is probability?</h3>

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

Since the probability of picking a red grape out of the bowl, eating it, and then picking a green grape out of the bowl is 1/8 and probability of picking just a red grape is 1/4 .

The probability of green grape will be the division. This will be:

= P(R and G) / P(R)

= 1/8 ÷ 1/4

= 1/8 × 4/1

= 1/2

The probability is 1/2.

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8 0
1 year ago
Which lines are the directrices of the ellipse?
algol [13]

The lines that are the directrices of the ellipse is B. x = −3.25 and x = 9.25.

<h3>How to calculate the ellipse? </h3>

From the information given, the equation of parabola will be:

= (x - 3)²/5² + (y - 2)²/3² = 1

Hence, h = 3, k = 2, a = 5, b = 3

e = ✓1 - ✓3²/5²

E = 4/5 = 0.8

The directix will be:

x = 3 + 5/0.8

x = 9.25

x = 3 - 5/0.8

x = -3.25

Therefore, lines that are the directrices of the ellipse is x = −3.25 and x = 9.25.

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4 0
2 years ago
David rolls a fair dice 240 times. <br> How many times would David expect to roll a three?
jolli1 [7]

Answer:

40

Step-by-step explanation:

There are 6 numbers on an dice (1-6) Divide 240 by 6 and the reasonable amount of times to roll a 3 is 40 time

4 0
3 years ago
Use the formula to find the value of $400 invested in 4%
Anna [14]

Answer:

Some part of the question is missing , you are requested to kindly recheck it once. There must be some time provided in the problem

Step-by-step explanation:

3 0
3 years ago
Please hElp!! I don't know how to do this!!!
pishuonlain [190]
150 more male bats need to be tagged

if you want 2/5 to be female you divide the 260 (<160+100) by 2 to get 130
then you multiply 130 by 3 to get the total amount of male bats that need to be tagged
130*3=390
then you subtract 240 from the 390 to find out how many more bats need to be tagged
390-240=150
7 0
3 years ago
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