Well to solve this you write out three equations
x+(x+1)+(x+2)=1623
then
3x=1620
x=540
so the three consecutive integers are 540,541, and 542.
Answer:
A) angles 7 and 8 are vertical angles, making them equal in measure
B) The angle with the measure of (5y-29) and the angle with the measure of (3y+19) are also vertical angles. This means they are equal in measure to each other. You can solve for y by setting these two angles equal to each other.
C) (5y-29)= (3y+19). Add 29 to both sides.
5y = 3y + 48. Subtract 3y from both sides.
2y = 48. Divide both sides by 2.
Y = 24
Plug 24 in for y in the two equations.
(5y-29)
5(24)-29= 91
And
(3y+19)
3(24)+19= 91
Angle 8 and the angle with the measure of (5y-29) are a linear pair. They sum to 180. Remember (5y-29)=91, so
91+ angle 8 = 180. Subtract 91 from both sides.
Angle 8 = 89
If angle 8 is 89, then angle 7 is also 89 because they are vertical angles and equal.
Step-by-step explanation:
Answer:
y-intercept = (0,0)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
Answer:
Substitute x = 6 into the equation 3x-18
Jeff put 1/6 into his bank. You first make the fractions into common denominators. The nearest number that works would be 15. 1/3 changes into 5/15, 1/2 becomes 7.5/15.
7.5/15 + 5/15 is 12.5/15. Simplified is 5/6.
6/6 minus 5/6 gives you 1/6, therefore the answer is 1/6. Hope this helps!