Answer:
20%
Step-by-step explanation:
First, find the difference between $130 and $104. This equals $26, and to find this discount written as a percent, divide $26 by the original cost of the camera. 26/130=0.2, which represents a 20% discount.
If y = 9x - 7, which of the following sets represents possible inputs and outputs of the
function, represented as ordered pairs?
{(7,9), (8, 10), (9, 11)}
{(0, -7), (1, 2), (-1, -16)}
{(1,9), (2,7), (3, 16)}
{(-7,0), (2, 1), (-16, -1)}
The answer is b {(0,-7), (1,2), (-1,-16)}
Answer:
a) ∠EAB = 180° - 90° - 30° = 60°
∠EBA = 180° - 90° - 60° = 30°
a) ∠EBA = 30°
b) ∠DCA = 180° - 90° - 30° = 60°
∠EBA ≅ ∠DAC, ∠EAB ≅ ∠DCA, ∠AEB ≅ ∠CDA
ΔEBA ≅ ΔDAC because of the AAA postulate
c) EB ≅ DA, EA ≅ DC, AB ≅ CA
d) AB = CA given
sin ∠EAB = EB/AB (sin 60°) EB = (0.8660)AB
cos ∠EAB = EA/AB (cos 60°) EA = (0.5)AB
cos ∠DAC = AD/CA (cos 30°) AD = (0.8660)CA
sin ∠DAC = CD/CA (sin 30°) CD = (0.5)CA
ED = EA + AD
ED = (0.5)AB + (0.8660)CA
since AB = CA, ED = 1.366CA
since EB = (0.8660)AB and AB = CA, then EB = 0.866CA
since CD = 0.5CA,
EB + CD = 0.866CA + 0.5CA = 1.366CA
EB + CD = 1.366CA
1.366CA = 1.366CA
Proof: ED = EB + CD
