Drag the tiles to the correct boxes to complete the pairs. Solve the inequalities for x and match each solution to its number line graph. Two less than 2 of a number (x) is no more than 53 The sum of two times a number (X) and-2 is at least 8. Seven subtracted from 4 times a number (x) is more than 13 Four added to 3 times a number (x) is less than 19. Number Line Graph Inequality -5 -2 1 0 1 2 4 6 -6 1 4 1 3 4 5 -6 -5 5

1. The sum of two times a number (x) and -2 is at least 8 is first

2. Seven subtracted from 4 times a number (x) is more than 13 is second

3. Four added to 3 times a number (x) is less than 19 is third

4. Two less than 3/2 of a number (x) is no more than 5 1/2 is last

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Step-by-step explanation:

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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