Answer:
\angle ACB=40^{\circ}, \angle ABC=63^{\circ}
Step-by-step explanation:
Finding x:
We know that 
, because it's a straight line. So, 
.
We know that the sum of the angles of any triangle will be 
.
So, we have that 
.
Combining like terms on the left gives 
.
Subtracting 
from both sides gives 
.
Dividing both sides by 
gives 
.
Finding missing angle measures:
.
.
So, 
and 
and we're done!
Note: 
. Coincidence? If not, try and prove it!
Answer:
x = 5
Step-by-step explanation:
Since ∠P ≅ ∠P and ∠PST≅ ∠PRQ (corresponding angles are congruent when the lines are parallel), ΔPST is similar to ΔPRQ by the AA postulate
Therefore, corresponding sides are in proportion.
PS ↔ PR and ST ↔ RQ
Note: PR = PS + SR = x + 7 + x - 1 = 2x + 6
8(x + 7) = 6(2x + 6)
8x+56 = 12x + 36
4x = 20
x = 5
Answer:
A. different probabilities
To find this, just plug the numbers into the expressions.
5x = y
5(2) = 7
10 = 7
So it can't be A.
x + 2 = y
2 + 2 = 7
4 = 7
x + 4 = y
2 + 4 = 7
6 = 7
2x + 3 = y
2(2) + 3 = 7
7 = 7
The correct answer is
D. 2x + 3
