Answer:
2n + n² -1
Step-by-step explanation:
2n + 2 + n² - 3
2n + n² -1
Lemme know if I read the equation wrong :)
Answer:
Exterior angle of a decagon will be 36°
Step-by-step explanation:
Measure of all interior angles of a polygon is represented by (n - 2)×180°
where n is the number of sides of the polygon.
Now we have to calculate the exterior angle of a regular decagon.
As we know exterior angle of polygon is supplementary of the interior angle.
So we will calculate interior angle first.
Sum of interior angles of decagon = (n - 2)×180° = 8×180° = 1440°
Since decagon is regular so all angles will be same.
So one angle of decagon = 1440 ÷ 10 = 144°
Now exterior angle = 180 - 144 = 36°
Each exterior angle of a decagon will be 36°.
Answer: x > 2.5
Step-by-step explanation:
Since Mrs Gallegos burns 236 calories riding her bike each hour and she wants to burn more than 590 calories riding her bike at the same rate, the inequality that will represent the number of hours that she will use will be:
x > 590/236
x > 2.5
She must ride the bike for more than 2 1/2 hours to burn more than 590 calories.
Answer:
a.Z(-2,1)
b.Z(1,1)
c.Z(-3,2)
Step-by-step explanation:
z(-2,3)
Imagine this point on a graph.
Translate it down two units :
the x stays -2, by going down the y decreases 2 so 3-2=1
Z(-2,1)
Translate Right three units : I'm assuming that we use the answer from the first translation
Z(-2,1)
The y doesn't change this time the x increases 3 since we're moving to the right.
Z(1,1)
Translate up 1 and left 4:
Z(1,1)
by moving up one we have Z(1,2) then by moving 4 to the left we get Z(-3,2)
Hope this helps :)
Answer:
20
Step-by-step explanation:
First step is finding an angle in the rightmost triangle (angle K)
Using TOA we have
Tan(x)=4/8
x=26.565
which means that 90-26.565= 63.4349 will give us angle K in regards to the left triangle
Using this we can solve for JM
Tan(63.4349)=x/8
8tan(63.4349=x
x=16
So if JM = 16
and LM=4
take their sum to find JL
16+4=20