Answer:
The first one: A shape is a rectangle if and only if the shape has exactly four sides and four right angles.
Step-by-step explanation:
The true statement is the first one:
A shape is a rectangle if and only if the shape has exactly four sides and four right angles.
Remark
If the lines are parallel, there are no solutions to the system of equations. Start with the equation you know the most about.
x + 6y = 7 Subtract x from both sides
x - x + 6y = 7 - x Combine
6y = - x + 7 Switch and divide by 6
y = -x / 6 + 7/6
The general equation for a line is y = mx + b where m is the slope of the line.
m = - 1/6
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Now look at the second equation
10ay - 5x = 32 Add 5x to both sides
10ay = 5x + 32 Divide by 10a
y = (5/10a)x + 32/(10a)
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Now you must make
5/10a = - 1/6 Cross Multiply
5* 6 = - 10a * 1
30 = - 10a Divide by - 10
a = 30 / - 10
a = - 3
So these two equations will have no solution when a = - 3
Answer:
I think they are asking the area of the triangle so we are going with that.
Step-by-step explanation:
Easiest way to do this is find the area of the incomplete square, and then cut that in half for the triangle.
so it is 4 cm wide
and 8 cm tall
length x width = area
8 x 4 = 32
32/2 = 16
So your answer should be 16 cm
Answer:
x is 23
Step-by-step explanation:
cause it is an 180 angle so 180-93=87
87 -18 =69
3x=69
x=23
Answer:
40.1%
Step-by-step explanation:
I am assuming that 192 is in 100%.
100% = 192
I then represent the value that we are looking for with 
.
x% = 77
By dividing both equations (100% = 192 and x% = 77) and remembering that both left hand sides of BOTH equations have the percentage unit (%).
Now, of course, we take the reciprocal, or inverse, of both sides:
x = 40.1%
Thus making the answer: 40.1% of 192 is 77.
