Saul decides to use the IQR to measure the spread of the data. Saul calculates the IQR of the data set to be 47. Saul asks Jasmine to check his work. Saul copies the data in numerical order from least to greatest for Jasmine.
45, 54, 90, 90, 90, 90, 100, n, 450

What is the value of n that will make the IQR of the data set equal to 47?

Please help!!

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.

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step-by-step explanation: