Answer:
A. p = q
Step-by-step explanation:
For each triangle, add the angles together and then subtract the sum from 180°.
First triangle:
60° + 50° = 110°
180° - 110° = 70°
Missing angle = 70°
Second triangle:
80° + 30° = 110°
180° - 110° = 70°
Missing angle = 70°
Hope this helps :)
Answer:
8 positive integers.
Step-by-step explanation:
One value of n would be 15 because 225 = 15^2.
Other values are 225 * n where 15n <= 1000 and n is a perfect square.
So n = 4 gives us 225* 4 = 900 which is a perfect square and 15*4 = 60.
n = 9 gives us 225 * 9 which is a perfect square and 15*9 = 135.
n = 16 gives us 225*16 and 15*16 = 240 , so OK.
n = 25 gives a perfect square and and 15*25 = 375 - so OK.
n = 36 gives a perfect square and 15*36 = 540 - so OK.
n = 49 gives a perfect square and 15*49 = 735 - so OK.
n = 64 gives a perfect square and 15*64 = 960 - so ok.
n = 81 gives a perfect square and 15 * 81 = 1215 so NOT ok.
Step-by-step explanation:
The snowplow's speed is 40 mph minus the loss from the snow, which is 1.2 mph times the depth of snow in inches.
y = 40 − 1.2x
When y = 0:
0 = 40 − 1.2x
1.2x = 40
x = 33 ⅓
The snowplow stops moving when the snow is 33 ⅓ inches deep or more.
3 miles = 5,280 yards
6(250) = 1,500 yards
5,280 - 1,500 = 3,780 yards
A rhombus is quadrilateral where all 4 sides are of equal length. Thus
5x + 2 = 2x + 12
3x = 10
x = 10/3
substituting x into either expression, yields
56/3
therefore side AB = 56/3
