56° and 34°
complementary angles sum to 90° thus
3x - 10 + 2x - 10 = 90
5x - 20 = 90
add 20 to both sides of the equation
5x = 90 + 20 = 110
divide both sides by 5
x = 
= 22
angle 2x - 10 = (2 × 22) - 10 = 44 - 10 = 34° and
angle 3x - 10 = (3 × 22) - 10 = 66 - 10 = 56°
Answer: TRUE
Step-by-step explanation: The number 3 is an upper bound because use 3 as a multiplyer of each bcoefficient of the polynomial and at each multiple,subtract the next coefficient from it. if all result after subtraction show positive, then the number used is an upper bound. This method is known as the synthetic division.
3 3 -5 -5 5 2
0 9 12 21 78
3 4 7 26 80
Answer:
if thisa is a triangle then 180-30+30 = 120 degree and we say all angles on a triangle add up to 180
Then reaply the rule changing 180 to 360 on all 4 sided shapes
180(n-2) to all other shapes.
ie) pentagon 180(n-2) = 540
continue with 540-30-30 = 480 etc....
Step-by-step explanation:
Answer:
They are adding 16 to the number each time. So the next number in the sequence would be 78.
Step-by-step explanation:
d(1) = 14
d(n) = d (n-1) + 16
14 + 16 = 30
30 + 16 = 46
46 + 16 = 62
62 + 16 = 78 and so on...
Circle Q is a translation of circle P, 6 units up and <span>Circle Q is a dilation of circle P with a scale factor of 7 are both correct answers.
Similar figures can result when a figure is translated (moved or slid) to a different position or when it remains the same shape but in a different size (dilation).</span>
