Shelly purchased 6 25'-tape measures and 2 chalk line reels for
$78. Sean purchased one 25'-tape
measure and 3 chalk line reels from
the same store for $29. What was
the price of each 25'-tape measure
and each chalk line reel?

Price of one 25'-tape measure = $11

Price of one chalk line reels = $6

Step-by-step explanation:

Let t = price of one 25'-tape measure, and

let c = price of one chalk line reel

"Shelly purchased 6 25'-tape measures and 2 chalk line reels for $78."

6t + 2c = 78

"Sean purchased one 25'-tape measure and 3 chalk line reels ... for $29."

t + 3c = 29

We have a system of two equations in two variables. We will solve it with teh substitution method.

Solve the second equation for t.

t = 29 - 3c

Substitute 29 - 3c for t in the first equation.

6(29 - 3c) + 2c = 78

174 - 18c + 2c = 78

-16c = -96

c = 6

Substitute 6 for c in the second original equation.

t + 3(6) = 29

t + 18 = 29

t = 11

Price of one 25'-tape measure = $11

Price of one chalk line reel = $6

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.

f(x) is the value of the function. b is the value of the function when x equals zero or the y-coordinate of the point where the line crosses the y-axis in the coordinate plane.

step-by-step explanation:

hope this !