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Dafna1 [17]
3 years ago
10

Given two lines, prove that if the slopes are the same and the y-intercepts are the same, then the lines coincide. Assume two li

nes do not coincide (~q). Then, either their slopes are different or their y-intercepts are different (~p). Since ~q → ~p is true, p → q must be true. Therefore, if the slopes and y-intercepts are the same, then two lines coincide.
What type of proof is illustrated above?

A.
proof by contradiction
B.
proof by contraposition
C.
proof by direct method
D.
proof by law of detachment
Mathematics
1 answer:
ivanzaharov [21]3 years ago
5 0
The right answer is: B. proof by contraposition 
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Ajar contains 12 red balls, 7 green balls, 10 white balls, and 7 yellow balls.
USPshnik [31]

Answer:

C. Independent, 49/1296

Step-by-step explanation:

A jar contains 12 red balls, 7 green balls, 10 white balls, and 7 yellow balls.

Total balls = 12+7+10+7

Total balls= 36

Two balls are chosen at random with replacement.

The probability that the both balls are green = probability of the first ball to he green * probability of the second ball to be green

The probability that the both balls are green= 7/36 * 7/36

The probability that the both balls are green= 49/1296

The probability that the both balls are green= 49/1296

8 0
3 years ago
A 15-foot ladder leans against a house. The bottom of the ladder is 7 feet from the house. To the nearest degree, what angle doe
max2010maxim [7]
The ladder is forming a right triangle with the house. In this right triangle the hypotenuse is the measure of the ladder, and the distance between the house and he ladder is one of the sides of the triangle. To find the angle, \alpha, that the ladder is making with the ground, we are going to use a trig function that relates the adjacent side of our angle with the hypotenuse. That trig function is Cosine. 
Cos \alpha = \frac{adjacent.side}{hypotenuse}
Cos \alpha = \frac{7}{15}
\alpha =arcCos( \frac{7}{15} )
\alpha =62.2

We can conclude that the ladder make with the ground a 62° angle.
7 0
3 years ago
The weight y of an object on Titan, one of Saturn's moons, is proportional to the weight
Nadya [2.5K]

Step-by-step explanation:

Banashankari Queensland

8 0
3 years ago
Triangles F H G and K J G share common point G. The lengths of sides H G and G J are congruent. Angles F H G and K J G are right
jenyasd209 [6]

Answer:

not enough information given

Step-by-step explanation:

as the rules say, we need at least 3 pieces of information :

2 angles and a side, or 3 angles (or there are other options like 2 sides and one angle or 3 sides).

but here we get 1 side and 1 angle. the shared point does not give us anything in that regard.

so, not enough information.

7 0
2 years ago
19) A submarine dives to a depth of 657 feet below sea
Misha Larkins [42]

Answer:

To bring the submarine back to the sea level, it have to move 578 feet upwards

Step-by-step explanation:

Given:

Initially the depth the submarine dives  =  657 feet below sea

The height the submarine moves up =  79 feet

To Find :

Change in its depth required to bring the submarine back to the sea level  = ?

Solution :

In initially the Submarine will be at the depth of  657 feet below sea

when it goes up, the the depth reduces

657 - 79  = 578 feet

Now the submarine will be the depth of  578 feet

Now the submarine have to move  578 feet upwards to reach the sea level

6 0
4 years ago
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