This line is in the format 
, where 
is the slope.
A horizontal line has a slope of 
.
A vertical line has an undefined slope.
A positive slope makes the line go upwards and to the right.
<em>A negative slope makes the line go downwards and to the right.</em>
A
We can't really do this without seeing 28, but I can give you an educated guess. The best way for me to proceed is to solve c.
The conjecture is that x = a + b. You should always find that to be true. C is the clincher.
Here's how you do that.
x + c = 180o That's true because all straight lines have 180o. If two angles make up the straight line that means that they are always equal to 180o So x + c = 180o
Now we move to the next step. All triangles also have 180o. That means that a + b + c = 180o
So we have two conditions that equal 180o. Equalities can be equated to one another.
a + b + c = x + c Subtract c from both sides.
a + b = x.
Study what has happened. Put in mathese, the two remote interior angles equal the exterior angle, which is what you are trying to prove.
Summary
a cannot be solved without 28
b you should say that the two remote angles (a and b) will always total x
c The proof is provided for you.
Answer: x = -1, and x = -2/3
Step-by-step explanation:
3x^2+5x+2=0
(x+1)(3x+2) = 0
x = -1, and x = -2/3
The side lengths of rectangle is 3 cm and 1.75 cm and 5.25 cm and 9 cm.
According to the statement
we have given that Rectangle A has side lengths of 6 cm and 3.5 cm
And The side lengths of rectangle B are proportional to the side lengths of rectangle A.
And we have to Find that the What could be the side lengths of rectangle B?
A 3 cm and 1.75 cm
B 5 cm and 2.5 cm
C 7 cm and 7 cm
D 12 cm and 5 cm
E 5.25 cm and 9 cm
Here we see that the side B are proportional to side length A of rectangle.
So,
Let say sides of rectangle B are a and b corresponding to sides 6 and 3.5 cm
=> a/6 = b/3.5
=> a/b = 6/3.5
=> a/b = 12/7
A 3 cm and 1.75 cm
3/1.75 = 12/7
Hence this is proportional
B 5 cm and 2.5 cm
5/2.5 = 2 ≠ 12/7
Not Proportional
C 7 cm and 7 cm
7/7 = 1 ≠ 12/7
Not Proportional
D 12 cm and 5 cm
12/5 ≠ 12/7
Not Proportional
E 5.25 cm and 9 cm
9/5.25 = 36/21 = 12/7
Hence this is proportional
So, 3 cm and 1.75 cm and 5.25 cm and 9 cm could be the side lengths of rectangle B.
Learn more about Rectangles here brainly.com/question/18019422
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