1) Answer: A
because trangles RST is similar to VUT as:
<RST=<VUT=55 (Angle)
<RTS=<VTU=90 (it seems right angled) Angle
So by AA similarity...(two angles similarity is enough)
2) Answer:B
y+z=x because exterior angle of a triangle (which is x) must be equal to sum of non-adjacent (y and z) interior angles.
3) Answer: A should be right choice. Step 1 is wrong here which is,
m<m + m<n + m<p=180 (wrong)
It should be:
m<m + m<n + m<0=180 (right)
Answer: 30
Step-by-step explanation:
see photo for work
V = 4/3 * pi * r^3
V= 4/3 3.14 * 3^3
V = 4/3 *3.14 * 27
27 * 3.14 = 84.78
V = 4/3 * 84.78 = <span>113.04
V = </span><span>113.04
hope this helps</span>
Answer:
x = 28
Step-by-step explanation:
let us take three consecutive numbers be (x + 1), (x + 2) and (x + 3)
Now,
The sum of three consecutive integers is 90
i.e.,
(x + 1) + (x + 2) + (x + 3) = 90
x + 1 + x + 2 x + 3 = 90
3x + 6 = 90
3x = 90 - 6
3x = 84
x = 84/3
x = 28
x = 28Thus, The value of x is 28
<h2>
<em><u>VERIFICATION</u></em><em><u>:</u></em></h2>
(x + 1) + (x + 2) + (x + 3) = 90
(28 + 1) + (28 + 2) + (28 + 3) = 90
28 + 1 + 28 + 2 + 28 + 3 = 90
90 = 90
Answ(2,4)
Step-by-step explanation: