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Daniel [21]
3 years ago
15

How to prove the converse to the same side interior angles theorem

Mathematics
1 answer:
Gnom [1K]3 years ago
5 0

Answer:If two lines are cut by a transversal and the consecutive interior angles are supplementary ...

Step-by-step explanation:

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A square corner of 16 square centimeters is removed
oee [108]

Option C:

Area of the remaining paper = (3x – 4)(3x + 4) square centimeter

Solution:

Area of the square paper = 9x^2 sq. cm

Area of the square corner removed = 16 sq. cm

Let us find the area of the remaining paper.

Area of the remaining paper = Area of the square paper – Area of the corner

Area of the remaining = 9x^2-16

                                     = (3x)^2-(4)^2

Using algebraic formula: a^2-b^2=(a+b)(a-b)

                                     =(3x-4)(3x+4)

Area of the remaining paper = (3x – 4)(3x + 4) square centimeter

Hence (3x – 4)(3x + 4)  represents area of the remaining paper in square centimeters.

8 0
2 years ago
Read 2 more answers
Assuming that the probability of giving birth to a boy or girl is 50% (that is equally likely to have a boy or girl), find:
defon
B is the awser to the questioning  of this College Work
4 0
3 years ago
The points J (-13,10) and K(-1,-6) are endpoints of a diameter of circle G. What is the equation of circle G?
In-s [12.5K]
The correct answer is D

The equation of a circle is (x-h)^2 + (y-k)^2 = r^2

to find (h,k), you find the middle of the circle, in this scenario you do so by finding the middle of the diameter, a line that goes through the center of the circle.

To find the X value of the midpoint, add both x values together and divide by 2 and repeat for y

-13 + -1 = -14
-14/2 =-7

10+ -6 = 4
4/2 = 2

therefore (h,k) = ( -7, 2 )

Next plug these values in the equation of a circle

(x-h)^2 + (y-k)^2 = r^2

becomes

(x- (-7)) ^2 + (y-(2)) ^2 = r^2

to find r, use the distance formula to find the length of the diameter, 20, and divide by 2


plug 10 in for r and you get 100

(x+7)^2 + (y-2)^2 = 100

sorry for the late response
7 0
3 years ago
Read 2 more answers
Dy/dx ln(xy)=e^(x+y)
Westkost [7]
In(xy) = e^(x+y)

(xy)'/xy  = (x+y)' e^(x+y)

(x'y + xy')/xy = (1+y') e^(x+y)

(y + xy')/xy = (1+y')e^(x+y) and simplify

Hope this helps
4 0
2 years ago
Paid $1,000 in interest on a loan of $10,000 for a
Lorico [155]

Answer:

R = 2 % per annum.

Step-by-step explanation:

SI = (P*T*R) /100

$1000 = ($10000 * 5 yrs *Rate) /100

4 0
3 years ago
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