The lines appear to be parallel. We can check this out by examining the
two equations, and we see that sure enough, both lines have the same
slope (1/2) so they're definitely parallel. Parallel lines never intersect,
so this pair of equations has NO solutions. NONE. Zero. Bubkes. Nada.
X = 1st evening, y = 2nd evening, z = 3rd evening
x + y + z = 83
x = z + 7
y = 2z
z + 7 + 2z + z = 83
4z + 7 = 83
4z = 83 - 7
4z = 76
z = 76/4
z = 19 <=== 3rd evening calls
x = z + 7
x = 19 + 7
x = 26 <=== 1st evening calls
y = 2z
y = 2(19)
y = 38 <=== 2nd evening calls
Answer:
Step-by-step explanation:
Given
Stadium is from home plate to first base.
And from home plate to the foul pole.
So, distance between first base to the foul pole will be
Distance from first base to home plate Distance from home plate to the foul pole.
Now, Distance between first base to the foul pole
Also, we know
Given that the triangle ABC is dilated by a scale factor of 1.25 to form the new triangle PQR, the dimensions of PQR will be as follows;
AB corresponds to PQ, but the length of AB=5 units, the length of PQ will be:
PQ=5*1.25=6.25 units
BC corresponds to QR, but the length if QR=4.2 units, the length of QR will be:
QR=4.2*1.25=5.25 units
lastly,
CA corresponds to RP, but CA=4 units, therefore RP will be:
4*1.25=5 units
Answer:
The answer is 1/30.
Step-by-step explanation:
6 colored playing pieces: red, yellow, green, blue, purple, and white.
When you pick, the probability of picking yellow = no. of yellow / total no.
= 1/6
When your friend pick, only 5 pieces are left and the probability of picking blue = no. of blue / total no.
= 1/5
The probability that your friend picks the blue piece and you pick the yellow piece
= Probability of your friend picks the blue piece x Probability of ou pick the yellow piece
= 1/5 x 1/6
= 1/30