Answer:
A. 23+(6-1)x-3
B. 93
Step-by-step explanation:
a) Nth term = F + (N - 1) x D, where F=First term, N=Number of terms, D=Common difference
6th row = 23 + (6 - 1) x -3
= 23 + (5) x -3
= 23 + (-15)
= 8 - number of boxes in the top row.
b) Sum = N/2[2F + (N - 1) x D]
= 6/2[2*23 + (6 - 1) x -3]
= 3 [46 + (5) x -3 ]
= 3 [46 + -15 ]
= 3 [ 31 ]
= 93 - total number of boxes in the entire display.
Hope this helps! Its 3:25 AM for me too so I know how you feel.
Answer:
k
Step-by-step explanation:
Answer:
70° and 110°
Step-by-step explanation:
It is given that, two parallel lines l and m are intersected by a transversal t.
The interior angles on same side of transversal are (2x−8)° and (3x−7)°.
We need to find the measure of these angles.
We know that, the sum of interior angles of the same side of the transversal is equal to 180°. So,
(2x−8)° + (3x−7)° = 180°
⇒ 5x-15=180°
⇒5x=180°+15
⇒5x=195
⇒x=39
Put x = 39 in (2x−8)°,
(2x−8)° = (2(39)-8)°
=70°
Again put x = 39 in (3x−7)°,
(3x−7)° = (3(39)-7)°
=110°
So, the measure of these angles are 70° and 110°.
Answer:
-(276÷0.12)=-2300
Step-by-step explanation:
Answer:
m<1=?
m<2=4x-20..........(1)
m<4=3x-11.............(2)
Step-by-step explanation:
we have
- m<2=m<4(corresponding angle of parrelelogram are equal)
- 4x-20=3x-11
- 4x-3x=20-11
- x=9
again.we have
<1+<2=180(co-interior angle)
<1=180-<2=180-(4×9-20)=180-16=164
