Angles A and B are supplementary. Angle A is equal to 20 degrees plus x, while Angle B is equal to 10 degrees plus 2 x. What is x?

50 degrees

Step-by-step explanation:

Given

<A = 20 + x

<B = 10+2x

Since <A and <B are supplementary then the sum of their angles is 180 degrees

<A + <B = 180

20+x + 10+2x = 180

30+3x = 180

3x = 180-30

3x = 150

x = 150/3

x = 50 degrees

Hence the value of x is 50 degrees

an advantage of the standard deviation is that it increases as the dispersion of the data increases. e. the interquartile range is preferred when the data are not skewed or no have outliers. an advantage of the standard deviation is that it uses all the observations in its computation.

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.