The acute angles of a right triangle are complementary, so
α + β = 90
(5x/3 +20) + (2x/3) + 14) = 90 . . . . . . substitute given values
7x/3 +34 = 90 . . . . . . . . . . . . . . . . . . . collect terms
7x/3 = 56 . . . . . . . . . . . . . . . . . . . . . . . subtract 34
x = (3/7)*56 = 24 . . . . . . . . . . . . . . . . . multiply by 3/7
Then the value of α is ...
α = 5*24/3 +20 = 60
Answer: 1/5
Step-by-step explanation: the probability that you get heads on the coin is 1/2 and the probability for getting a vowel out of incredible is 4/10 or simplified 2/5. So you multiply... 1/2 x 2/5 = 1/5
Answer:
-2x + 7/5
Step-by-step explanation:
(7-10x)/5
=
+ 
= -2x + 7/5
Answer:
1206 square centimeters
Step-by-step explanation:
Hello, I can help you with that
a tin is a cylinder,a cylinder is formed by 2 circles anda 1 rectangle
let's remember
Area of the circle

Area of the rectangle

the length of the rectangle is the height of the tin (16 cm)
and the wide is equal to the perimeter of the circle
perimeter of the circle(P)

so, the area of the rectangle is

Step one
find the total area:
the total area is equal to 2 circles + 1 rectangle

Step two
put the values into the equation
height = 16 cm
radius= 8 cm

so, the total area is 1206.37 square centimeters
I hope it helps, have a great day.
Answer:
I'm pretty sure that this is correct.
Step-by-step explanation:
this is the equation of a straight line that is generally written
y
=
m
×
x
+
q
m is the slope of the line and is the proportionality coefficient between y and x.
The larger m is, the more the line is hanging
q (-3) is the intercept with the Y axis and is the value you find if you put x=0 (this is the axis y equation)
similarly if you put Y=0 (that is the equation of X axis you find the intercept with X axis that is X= 3/2
graph{2x-3 [-10, 10, -5, 5]}
If I am wrong I am SO SO <em>Sorry.</em> But I hope that I <em><u>Helped!</u></em> :D