Width of the rectangle is 9 units
Step-by-step explanation:
- Step 1: Let the width of the rectangle be x. Then the length = x - 3. Find dimensions of the rectangle if its area = 54 sq. units
Area of the rectangle = length × width
54 = x (x - 3)
54 = x² - 3x
x² - 3x - 54 = 0
x² + 6x - 9x - 54 = 0 (Using Product Sum rule to factorize)
x(x + 6) - 9(x + 6) = 0
(x + 6)(x - 9) = 0
x = -6, 9 (negative value is neglected)
x = 9 units
Answer:
Here, BRX and NJY are two triangles in which,
BR = 30 cm, RX = 40 cm, BX = 60 cm, NJ = 15 cm, JY = 20 cm and NY = 30 cm,
Also, m∠B = m∠N, m∠R = m∠J and m∠X = m∠Y,
By the property of congruence,
, 
and 
Thus, By AAA similarity postulate,
Hence, proved.
Answer:
d
Step-by-step explanation:
just took the test
to find the unit rate/constant of proportionality , you'd have to dive 250 by three. and they are related because they are the same thing.
Answer:
Mass index for a 9-year-old child (at 82nd percentile
) = 22.51
Step-by-step explanation:
Given:
Mass index for a 9-year-old child = 18.4
Standard deviation = 4.5
Find:
Mass index for a 9-year-old child (at 82nd percentile
)
Computation:
At 82nd percentile,
p-value = 0.82
p-value from Z table score = 0.9153
Mass index for a 9-year-old child (at 82nd percentile
) = Mass index for a 9-year-old child + p-value from Z table score(Standard deviation)
Mass index for a 9-year-old child (at 82nd percentile
) = 18.4 + 0.9153(4.5)
Mass index for a 9-year-old child (at 82nd percentile
) = 18.4 + 4.11
Mass index for a 9-year-old child (at 82nd percentile
) = 22.51
