Please help me with this question? i’d appreciate it :)
1 answer:
You might be interested in
Answer:
The answer is below
Step-by-step explanation:
A parallelogram is a quadrilateral (has 4 sides and 4 angle) with two pair of parallel and opposite sides. Opposite sides of a parallelogram are parallel and equal.
Given parallelogram ABCD:
AB = CD = 18 cm; BC = AD = 8 cm
∠P = ∠P, ∠PDA = ∠PCQ (corresponding angles are equal).
Hence ΔPCQ and ΔPDA are similar by angle-angle similarity theorem. For similar triangles, the ratio of their corresponding sides equal. Therefore:
Perimeter of CPQ = CP + CQ + PQ
15 = 6 + 8/3 + PQ
PQ = 15 - (6 + 8/3)
PQ = 6.33
∠CQP = ∠AQB (vertical angles), ∠QCP = ∠QBA (alternate angles are equal).
Hence ΔCPQ and ΔABQ are similar by angle-angle similarity theorem
Perimeter of BAQ = AB + BQ + AQ = 18 + 8 + 19 = 45cm
PA = AQ + PQ = 19 + 6.33 = 25.33
PD = CD + DP = 18 + 6 = 24
Perimeter of PDA = PA + PD + AD = 24 + 25.33 + 8 = 57.33 cm
Y=- \frac{7}{3} 
.
To find the equation of a line, you need two things: the slope and the y-intercept.
The slopes of parallel lines are the same. So we can find the slope of the new line by finding the slope of the first line. To do that, we need to put it in y=mx+b format, where m is the slope. So we must rearrange the 7x+3y=10. First subtract 7x from both sides to make it look like:
Then divide both sides three:
b
So now that it's in y=mx+b format, we can now see that the m= - \frac{7}{3}
Now we know the m of the new equation, we need to find the b, or the y-intercept. To do this, we can plug the point we have and the m value into the y=mx+b format.
Solving this, we can subtract 7/3 from both sides:
Therefore, b=
Plugging the m= - \frac{7}{3} and the b= back into the y=mx+b format, your parallel line is y=- \frac{7}{3} .
To find the equation of a line, you need two things: the slope and the y-intercept.
The slopes of parallel lines are the same. So we can find the slope of the new line by finding the slope of the first line. To do that, we need to put it in y=mx+b format, where m is the slope. So we must rearrange the 7x+3y=10. First subtract 7x from both sides to make it look like:
Then divide both sides three:
b
So now that it's in y=mx+b format, we can now see that the m= - \frac{7}{3}
Now we know the m of the new equation, we need to find the b, or the y-intercept. To do this, we can plug the point we have and the m value into the y=mx+b format.
Solving this, we can subtract 7/3 from both sides:
Therefore, b=
Plugging the m= - \frac{7}{3} and the b=