Gideon has prepared the following two-column proof below. He is given that ∠OLN ≅ ∠LNO and he is trying to prove that ΔOLE ≅ ΔONE.

Triangle OLN, where angle OLN is congruent to angle LNO
1. ∠OLN ≅ ∠LNO -- Given
2. Draw OE as a perpendicular bisector to LN -- by Construction
3. m∠LEO = 90° -- Definition of a Perpendicular Bisector
4. m∠NEO = 90° -- Definition of a Perpendicular Bisector
5. LE ≅ EN -- Definition of a Perpendicular Bisector
6. OL ≅ ON -- CPCTC
7. ∠LEO ≅ ∠NEO -- Substitution Property of Equality
8. ΔOLE ≅ ΔONE -- Angle-Side-Angle (ASA) Postulate

Gideon made two errors in the proof. Identify and correct the errors. (10 points)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.

explanation:

remove parenthesis:

=

apply rule

=

multiply fractions:

=

=

divide:

=

mordancy.

answer is (b.

164 ft2)

a base  

18

b base  

7

h height  

8