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Natasha_Volkova [10]
3 years ago
10

Identify the hypothesis and conclusion of each conditional statement. Then write each sentence in if-then form

Mathematics
1 answer:
lukranit [14]3 years ago
3 0

Answer:

If you place two collinear points, then they will fall on the same line

Step-by-step explanation:

?

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Simon leans a 20 ft ladder against the side of his house so that the base of the ladder is
finlep [7]
The answer is 19.4
Most of the time when you try to find a missing length of a right triangle you use Pythagorean theorem. Pythagorean theorem is A squared plus B squared equals C squared. C squared is always going to be the longest length/diagonal line otherwise known as your hypotenuse. In this case the ladder is the hypotenuse. So instead of adding five squared +20 squared you’re going to square 20 and then subtract five squared to get the missing length which would be B squared and then you have to find the square root of B squared. So 20 squared is 4000. 5squared is 25 400-25 = 375 square root of 375 is about 19.4.

7 0
3 years ago
SAT scores probability 1​
fredd [130]

Answer:

  a.  81.5%

Step-by-step explanation:

The z-score for 400 is ...

  Z = (X -μ)/σ = (400 -500)/100 = -1

The z-score for 700 is ...

  Z = (700 -500)/100 = 2

The empirical rule tells you that 68% of the distribution is within ±1σ of the mean, and 95% is within ±2σ of the mean. Half of that first number is in the range Z = -1 to 0, and half that second number is in the range Z = 0 to +2. So, the probability you want is ...

  (1/2)(68%) + (1/2)(95%) = 81.5% . . . . matches choice A

6 0
3 years ago
Which side lengths form a right triangle ?
True [87]

Answer:

B

Step-by-step explanation:

1^2 + 8^2 = c^2

1 + 64 = c^2

65 = c^2

√c^2 = √65

4 0
3 years ago
What is the equation of the circle with center (−3, 1) that passes through the point (−5, 3)?
Mariulka [41]

Answer:

( x + 3)^2 + ( y - 1)^2 = 8

Step-by-step explanation:

The equation of a circle with a center and a point

( x - a) ^2 + ( y - b) ^2 = r^2

( x , y) - any point on the circle

( a, b) - center of the circle

r^2 - radius of the circle

( -3 , 1) - center - ( a, b)

a = -3

b = 1

( -5 , 3) - point - ( x, y)

x = -5

y = 3

Step 1: substitute the center into the equation

( x -(-3)^2 + ( y - 1)^2 = r^2

( x + 3)^2 + ( y - 1)^2 = r^2

Step 2 : sub the point into the equation

( x + 3)^2 + ( y - 1)^2 = r^2

( -5 + 3)^2 + ( 3 - 1)^2 = r^2

(-2)^2 + 2^2 = r^2

4 + 4 = r^2

8 = r^2

Step 3 : sub the radius into the equation

( x + 3)^2 + ( y - 1)^2 = r^2

( x + 3)^2 + (y - 1)^2 = 8

Therefore, the equation of the circle is

( x + 3)^2 + (y - 1)^2 = 8

6 0
3 years ago
In the following arithmetic number pattern: 5,9,13,17... what is the 100th term?
irakobra [83]
Answer:891

Explanation:
1st term+common difference(desired term-1)

5+4(100-1)
9(100-1)
9•99
891
6 0
4 years ago
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