So angles in a triangle add up to 180
Angle B is 50 and angle E is 90
90+50=140
180-140=40°(angle A)
Now the other triangle
Angle C is 62 and angle E is 90
90+62=152
180-152=28
40-28=12
hope this helped but I can't help with the second one
1 mole of any substance is approximately 6.022*10^23 atoms (Avogadro's number)
So
(4.90*10^31 atoms) * (1 mole / 6.022*10^23 atoms) = 8.14*10^7 moles
Answer:
The Slope is undefined and the y-intercept there is no y- intercept
Since x= 1/5 is a vertical line there is no y-intercept and the slope is undefined.
Answer:
See Explanation;
Step-by-step explanation:
The given vectors are;
and 
a) To add or subtract two vectors, we add or subtract their corresponding components
b) See attachment for graphs(1,6
Answer:
r ≈ 4
Step-by-step explanation:
circle = 360 degrees
360 / 90 = 4
let's call the area of triangle XYZ + the shaded area portion A
because ∠XYZ = 90°, and 360 / 90 = 4, A = 1/4th of the area
total area of circle = πr²
XY = YZ = radius
thus, as ∠XYZ = 90° and two sides are the same, this forms a 45-45-90 triangle, with base YZ and height XY (base/height are interchangeable here)
thus, area of triangle XYZ = r*r/2 = r²/2
area A = r²/2 + 4.64
4 * A = total area of circle
4(r²/2+4.64) = πr²
2r²+18.56 = πr²
subtract 2r² from both sides to put all the variables on one side
(π-2)r² = 18.56
divide both sides by (π-2) to isolate r²
18.56/(π-2) = r² ≈ 16.258
r ≈ 4.032 ≈ 4
