Answer:
The common difference is 2
Step-by-step explanation:
The formula for an arithmetic sequence is
an = a1+d(n-1)
a1 = -5
a10 = 13
Substituting n=10 a10=13 and a1 =-5
13 = -5 +d (10-1)
13 = -5 +9d
Add 5 to each side
13+5 = -5+5 +9d
18 = 9d
Divide each side by 9
18/9 = 9d/9
2 =d
9514 1404 393
Answer:
48°
Step-by-step explanation:
ΔACB is isosceles, so angles A and B have the same measure. The measure of angle C in that triangle is ...
∠C = 180° -2(69°) = 42°
Angle C in ΔCDE has the same measure. Angle D is the complement of that:
∠D = 90° -42° = 48°
_____
The relations we used are ...
- the sum of angles in a triangle is 180°
- base angles of an isosceles triangle are congruent
- vertical angles are congruent
- acute angles in a right triangle are complementary
The correct answer is 15
<span>4 + (x/3) = 9 </span>
<span>(x/3) = 9 - 4 </span>
<span>(x/3) = 5 </span>
<span>x = 15 </span>
We have
------------------------------------------------------------------
A B C D E
-----------------------------------------------
1 yard
--------------
1/5 yard ------------------
7/10 yard
<span>The distance poles B and D= (1-1/5)=4/5 yard
</span>The distance poles B and E= BD+DE=4/5+7/10=(8+7)/10=15/10=3/2 yard
the answer is 3/2 yard (distance poles B and E)
Answer:
B-4.2<-7.5
Step-by-step explanation: