Answer:
Step-by-step explanation:
a1=90-a2
a1=90-30=60
a2 is opposite 30 and opposite angles are equal so
a2=30
The sum of the angles of a triangle are equal to 180 degrees.
a2+a3+70=180
a3+30+70=180
a3=100=180
a3=80
Answer:
m ≠1 ( all m in R except 1 )
Step-by-step explanation:
hello :
mx − y + 3 = 0.....(*)
(2m − 1)x − y + 4 = 0 ....(**)
multiply (*) by : -1 you have : -mx+y-3=0 ....(***)
(2m − 1)x − y + 4 = 0 ....(**)
add(***) and(**) : -mx+ (2m − 1)x+1 =0
(2m-m-1)x+1=0
(m-1)x = -1
this system have no solution if : m-1≠0 means : m ≠1
Answer:
The approximated height of the tree is of 112 meters.
Step-by-step explanation:
The height of a tree with a base diameter of d meters is approximated by the following formula:

In this question:
Base diameter of 3.2m, so
, and the height is in meters.

The approximated height of the tree is of 112 meters.
Answer:
m = 1
Step-by-step explanation:
11m + 13 = m + 23
<u>Get m by itself by subtracting m from both sides. </u>
10m + 13 = 23
<u>Subtract 13 from both sides.</u>
10m = 10
<u>DIvide by 10.</u>
m = 1