Step-by-step explanation:
<A + < B = 90° { being complementary angles)
2x + 10° + 3x + 15° = 90°
5x = 90° - 15° - 10°
5x = 65°
x = 13°
Now
<B = 3x + 15° = 3 *13° + 15° = 54°
Hope it will help :)
The probability of choosing a large red fish is 5/15 or 1/3
Answer:
90
Step-by-step explanation:
Let the starting number be x, the two consecutive numbers after x is gonna be x+1 and x+2.
If the sum of these three numbers is 267 then:
x+(x+1)+(x+2)=267
Solve
3x+3=267
3x=267-3
3x=264
x=264/3
x=88
x+1=89
x+2=90
Your three consecutive numbers are 88, 89, and 90.
The largest one of them is 90.
Answer:
They'll build 66 cars in those conditions.
Step-by-step explanation:
In this case we can use a compounded rule of three to solve the problem. We need to set it up as shown bellow:
160 workers -> 32 cars -> 2 hours
220 workers -> x cars -> 3 hours
If the number of workers rise, then we expect the number of cars to rise aswel, so they're directly proportional. If the number of hours worked increase we can expect the number of cars to increase aswell, so they're directly proportional. We can now set the fractions:
(160*2)/(220*3) = 32/x
320/660 = 32/x
x = (32*660/320) = 66 cars
They'll build 66 cars in those conditions.
Y = -2x + 1
y = -2x + 2
y = -2x + 3
these are all parallel lines because they have the same slopes (-2) but different y intercepts.
y = 3x + 4
y = -1/3x + 3
these are perpendicular lines because they have negative reciprocal slopes.
slope of a line parallel to the x axis : If it is parallel to the x axis, it is a horizontal line and has a slope of 0.
slope of a line perpendicular to the x axis : if it is perpendicular to the x axis, it is a vertical line with a slope that is undefined.
slope of line parallel to the y axis : vertical line, undefined slope
slope of a line perpendicular to the y axis : horizontal line, slope of 0
