Answer:
Step-by-step explanation:
Since we are not given a midpoint, we use the Angle Addition Postulate:
156 = [x + 109] + [x + 53]
156 = 162 + 2x
-162 - 162
_______________
−6 = 2x
___ ___
2 2
−3 = x
[−3 + 53] + [−3 + 109] = 156
50 106
156 = 156 ☑
Therefore, is a genuine statement.
I am joyous to assist you anytime.
Answer:
2/5, 4/7, 5/2
Step-by-step explanation:
5/2=2.5 2/5=.40 4/7= .59 that's aproximately for 4/7
<h3>Answer:</h3>
a) l = 5 + 2w
b) P = 2(l +w) = 2(5 +2w +w)
c) w = 8 cm, l = 21 cm
<h3>Explanation:</h3>
a) Using w for width, twice the width is 2w, and 5 more than that is 5+2w. This is your expression for l:
... l = 5 + 2w
b) The perimeter is the sum of the lengths of all sides, so is the sum of twice the length and twice the width.
... P = 2(l +w) = 2(5 +2w + w) . . . . substituting for l using the expression of (a)
c) Substituting the given perimeter, we have ...
... 58 = 2(5 +3w) = 10 + 6w . . . . . collect terms, eliminate parentheses
... 48 = 6w . . . . . . . . . . . . . . . . . . subtract 10
... 8 = w . . . . . . . . divide by 6
... l = 5 + 2·8 = 21 . . . . . find length using the formula for it
Dimensions are in centimeters, so we can write the solution as ...
- width = 8 cm
- length = 21 cm
Answer:
a force of 1250lb is exerted
Step-by-step explanation:
since the force of the wind varies jointly as the area of the surface and the square of the velocity,
let f = force
a = area
velocity =v
from the above statement, we find out that
----1
that is 
-----2
where k is a coefficent of proportionality
since velocity of wind in mph,v =50
and force in lb = 20
and surface area =
from eqn 2
we have that
making k subject of the formula
we have that
that means that 
---3
however, when velocity = 125mph
surface area =
putting values in eqn 3 we have
hence a force of 1250lb is exerted
Answer:
15.7
Step-by-step explanation:
use a calculator lol
