Answer:
x = -11/9
Step-by-step explanation:
7(x+3)=-2(x-5)
Distribute
7x+21 = -2x+10
Add 2x to each side
7x+21 +2x = -2x+10+2x
9x +21 = 10
Subtract 21 from each side
9x +21-21 = 10-21
9x = -11
Divide each side by 9
9x/9 = -11/9
x = -11/9
Because the two triangles are similar, their angles will be the exact same.
Therefore, Angle B is 130 degrees
The answer is D.
There isn't a graph to look at for the second question so I can't help you on that one
Answer:
5 + 3t
Step-by-step explanation:
t = amount Tanya has
Lucy = $5 more than 3x of what Tanya has
Answer:
HL
Step-by-step explanation:
the shared hypotenuse and congruent legs of the triangle means it is congruent by HL
you might think that SSA is also doable because there is a right angle in both triangles but it is not
a way to remember this is that "there are no donkeys in geometry" because SSA backwards is another word for donkey
Answer: The required length of the segment AA' is 11 units.
Step-by-step explanation: Given that the point A(5, 11) is reflected across the X-axis.
We are to find the length of the segment AA'.
We know that
if a point (x, y) is reflected across X-axis, then its co-ordinates becomes (x, -y).
So, after reflection, the co-ordinates of the point A(5, 11) becomes A'(5, -11).
Now, we have the following distance formula :
The DISTANCE between two points P(a, b) and Q(c, d) gives the length of the segment PQ as follows :

Therefore, the length of the segment AA' is given by

Thus, the required length of the segment AA' is 11 units.