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3 years ago

What additional information is needed to prove the triangles are congruent by the SAS postulate

Mathematics

1 answer:

Artyom0805 [142]3 years ago

4 0

Choice 2
You need to know line WX is congruent to line WZ. WY is a reflexive side so means it is equal in both triangles. Angle XWY and angle ZWY are congruent as marked in the picture so in order to know if Triangle XWY and Triangle ZWY by the SAS postulate, you need to know if sidez WX and WZ are congruent.

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Find the equation of the line that is perpendicular to y = 1/4 x – 2 and passes though the point (5, –2).

zlopas [31]

$\textsf{Let y = ax + b the line we want to find.}$

$\textsf{We know that the slope of y = ax + b is the inverse of the slope of } \mathsf{ y = \frac{1}{4}x - 2.}$

$\textsf{Thus:}$

$\mathsf{a = \dfrac{1}{\frac{1}{4}} = 4}$

$\textsf{As y = 4x + b passes thought (5, -2):}$

$\mathsf{-2 = 4 \cdot 5 + b \Rightarrow 20 + b = -2 \Rightarrow b = -22}$

$\textsf{Hence the line y = 4x - 22 is perpendicular to }\mathsf{y=\frac{1}{4}x - 2}\textsf{ and passes for the point (5, -2).}$

6 0

3 years ago

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Twice a number decreased by 16 is 64.

Blababa [14]

16+64=80        80*2=160
or it means
64/2=32           32+16= 48
or it means
64+16=80        80/2= 40
this is a horribly formatted question

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3 years ago

Bag A contains 3 red balls and 3 blue balls.

dezoksy [38]

Answer:

30% probability that the ball taken from B is red.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

Red ball from urn A:

3/6 = 1/2 probability of getting a red ball from urn A.

Then urn B will have 5 balls, 2 of which are red, so 2/5 probability of getting a red ball.

Blue ball from urn A:

3/6 = 1/2 probability of getting a blue ball from urn A.

Then urn B will have 5 balls, 1 of which is red, so 1/5 probability of getting a red ball.

Total:

$p = \frac{1}{2}*\frac{2}{5} + \frac{1}{2}*\frac{1}{5} = \frac{2}{10} + \frac{1}{10} = \frac{3}{10}$

3/10 = 0.3 = 30%.

30% probability that the ball taken from B is red.

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3 years ago

The absolute value of a negative fraction is always greater than 1, true of false?!

Fantom [35]

Answer: False

Step-by-step explanation: False because zero is negative or positive. The absolute value of any number could also include the absolute value of 0, which would be 0. Thus, the absolute value of any rational number is not always greater than zero, it can be zero as well. However, it is true that the absolute value of any rational number can never be negative.

Rational Number definition: Rationals contain whole numbers, integers, decimals, fractions, basically most numbers or any numbers.

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2 years ago

Is 4/6 bigger than 5/8

nikitadnepr [17]

4/6=66.67%
5/8=62.5%
Therfore 4/6 is bigger than 5/8

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3 years ago

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