Answer:
a₁ = 15 and common difference = 8 so the formula is:
aₙ = 15 + (n - 1) * 8
= 8n + 7
Answer:
m∠CBD=68°
Step-by-step explanation:
BA is perpendicular to BD, meaning they form a right angle (90°)
This means m∠CBD + m∠ABC=90, or they are supplementary.
We have expressions given for these angles, so
4x+52+8x-10=90
12x+42=90
12x=48
x=4
Knowing x=4, we can substitute back into our expression for m∠CBD because that's what we're looking for.
4(4)+52=68
m∠CBD is 68°.
An addition sentence is just addition.
1 3/4 + 1 1/3 + 1 3/4 = ?
7/4 + 7/4 + 4/3
First find the lowest common denominator.
21/12 + 21/12 + 16/12
= 58/12 = 4 10/12 = 4 5/6
<span>Arithmetic sequences have the same value added repeatedly. There are 17 increments between a1 and a18 and the value changes a total of 102 (95 - -7). 102 divided by 17 shows that the value of 6 is being added each time. The 35th term is then given by a1+(35-1)*6 = -7 + 34*6 = -7 + 204 = 197.</span>