Answer:
The equation of the line that passes through the point (3,4) and has an undefined slope is x = 3
Step-by-step explanation:
- The slope of the horizontal line is zero
- The equation of the horizontal line passes through the point (a, b) is y = b
- All the points on the horizontal line have the same y-coordinates
- The slope of the vertical line is undefined
- The equation of the vertical line passes through the point (a, b) is x = a
- All the points on the vertical line have the same x-coordinates
Let us solve the question
∵ The line has an undefined slope
∴ The line is a vertical line
∵ The equation of the vertical line is x = a, where a is the x-coordinate
of any point on the line
∵ The line passes through the point (3, 4)
∴ a = 3
∴ The equation of the line is x = 3
The equation of the line that passes through the point (3,4) and has an undefined slope is x = 3
Answer: The probability of picking 7 and then picking a number greater than 7 is 
or 0.3
Step-by-step explanation: Probability
Probability shows us the chances of an event occurring.
Now, given that we have already picked three cards. therefore, 7, 8, and 9.
The number of possible outcomes is 3.
the probability of card 7,
Now, as card seven is already picked up cards 8 and 9 are the only card left.
therefore, the sample size(possible outcomes) was reduced to 2 only.
Also, cards 8 and 9 both are greater than 7, thus the desired outcome is also 2.
Further the probability of the number greater than 7 occurring,
Probability picking a number greater than 7
The probability of picking a 7 and then picking a number greater than 7
= Probability of card 7 occurring x probability of card 8 and 9 occurring.
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The dimensions of the rectangles to the nearest hundredth are
- length = 13.56 inches
- width = 3.39 inches
<h3>What is a rectangle?</h3>
A rectangle is four sided plane figure which each pair of sides equal and opposite to each other. The sides intersect at an angle of 90 degrees.
<u>Given data</u>
Area of the rectangle = 46 square inches
length L = 4 * width W
area of a rectangle, A
A = L * W
46 = L * W
46 = 4w * w
46 = 4w^2
w^2 = 11.5
w = sqrt ( 11.5 )
w = 3.391 inches
w = 3.39 to the nearest hundredth
since L = 4w
L = 4 * 3.391
L = 13.564
L = 13.56 to the nearest hundredth
Read more on areas of rectangles here: brainly.com/question/2607596
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5/6 + 3/8
Convert to denominators of 24:
20/24 + 9/24
Add the numerators:
29/24
Convert to mixed number:
1 5/24
Answer:
75°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 6 , then
sum = 180° × 4 = 720°
let x be the sixth angle, then sum and equate to 720°
150 + 100 + 80 + 165 + 150 + x = 720
645 + x = 720 ( subtract 645 from both sides )
x = 75
The sixth interior angle is 75°
