Answer:
m = -3/5
Step-by-step explanation:
Since the line is going downwards towards the right, it is a negative slope.
We can use the points to solve for the slope.
m = -2 - 1 / 2 - (-3)
m = -2 - 1 / 2 + 3
m = -3/5
Therefore, the slope is -3/5.
Answer:
B
Step-by-step explanation:
ABD (half of the rectangle) is a right-angled triangle.
so, Pythagoras applies.
c² = a² + b²
c is the Hypotenuse (the baseline opposite of the 90 degree angle) and in our case the line BD.
a and b are the 2 sides enclosing the 90 degree angle. in our case here the lines AD and AB.
so,
BD² = AD² + AB² = (6-1)² + (5-2)² = 5² + 3² = 25 + 9 = 34
BD = sqrt(34)
Answer: 232
Step-by-step explanation:
Surface area = everything multiplied x 2
Answer:
From the graph attached, we know that 
by the corresponding angle theorem, this theorem is about all angles that derive form the intersection of one transversal line with a pair of parallels. Specifically, corresponding angles are those which are placed at the same side of the transversal, one interior to parallels, one exterior to parallels, like 
and 
.
We also know that, by definition of linear pair postulate, 
and are linear pair. Linear pair postulate is a math concept that defines two angles that are adjacent and for a straight angle, which is equal to 180°.
They are supplementary by the definition of supplementary angles. This definition states that angles which sum 180° are supplementary, and we found that and together are 180°, because they are on a straight angle. That is, 
If we substitute for , we have 
, which means that and are also supplementary by definition.
Answer:
y = -4
Step-by-step explanation:
12y + 4 = 8y-12
Subtract 8y from each side
12y - 8y +4 = -12
4y +4 = -12
Subtract 4 from each side
4y +4-4 = -12 -4
4y = -16
Divide by 4
4y/4 = -16/4
y = -4
