We know that angle2+angle3+90=180 (since we see the right angle in the corner and all internal angles add up to 180) so
angle3=40
subsitute
angle2+40+90=180
angle2+130=180
subtract 130
angle2=50
answer is 50 degrees
Answer:
x = 16 and y = 121
Yes, its a long process.
Step-by-step explanation:
vertical angles are congruent given that: we do this
(4x-5)+(4x-5)+y+y=360
or
2(4x-5)+2y=360
divide both sides by 2
(4x-5)+y=180
distribute (there is an invisible 1 beside the parentheses of 4x-5)
4x-5+y=180
add 5 to both sides
4x+y = 185
subtract y from both sides
4x = 185-y
divide both sides by 4
x = (185-y)/4
note that (4x-5) is also EQUAL to (3x+11)
4x-5=3x+11
subtract 3x from both sides
x-5=11
add 5 to both sides
x = 16
Now that we know what x is, we can substitute it in the equation we got from 2(4x-5)+2y=360
Our equation was
x = (185-y)/4
16 = (185-y)/4
Multiply both sides by 4
64 = 185-y
Subtract 185 from both sides
-121=-y
multiply both sides by -1
121 = y
Answer:
Option: b is correct.
( Stocks have more risk than bonds, but offer more return).
Step-by-step explanation:
Bonds are debts while stocks are stakes of ownership in a company.
Bonds pay a fixed rate of interest, and guarantee principal payment at the end of the term, they're generally considered to be safer than stocks. That doesn't mean bonds are 100% safe.
<em>" Most investment professionals consider bonds a safe component of portfolios. They're supposed to provide the stability and certainty that stocks can't "</em>
<em>" In bond we have a fixed interest whereas in stock the rates could go much high "</em>
Hence, option b is correct. ( Stocks have more risk than bonds, but offer more return).
Consider the following formula to find the circumference of circle
C= 2^_r
here r is radius of circle
the radius of circular is 25 ft.
Therefore circumference is as follows
C = 2^_r
= 2 × 3.14 (25)
= 157.
circumference of circle feet is 157 × 12 inches.
