Answer:
As given, measure of angle 4 is 70°
Then what would be the measure of ∠8.
Following cases comes into consideration
1. If ∠4 and ∠8 are supplementary angles i.e lie on same side of Transversal, then
∠4 + ∠8=180°
⇒70°+∠8=180° [∠4=70°]
⇒∠8=180°-70°
⇒∠8=110°
<u>2nd possibility</u>
But if these two angles i.e ∠4 and ∠8 forms a linear pair.Then
⇒ ∠4 + ∠8=180°
⇒70°+∠8=180° [∠4=70°]
⇒∠8=180°-70°
⇒∠8=110°
<u>3rd possibility</u>
If ∠4 and ∠8 are alternate exterior angles.
then, ∠4 = ∠8=70°
<u>4th possibility</u>
If If ∠4 and ∠8 are corresponding angles.
then, ∠4 = ∠8=70°
Out of four options given Option A[ 110° because ∠4 and ∠8 are supplementary angles], Option B[70° because ∠4 and ∠8 are alternate exterior angles.] and Option D[70° because ∠4 and ∠8 are corresponding angles.] are Correct.
<em>Convert percentage to fraction by dividing by 100</em>
16 2/3 = 16 2/3 ÷ 100 = 1/6
16 2/3 % of 96 = 1/6 x 96 = 16
<span>Ans: 16 2/3 % of 96 lamps = 16</span>
Answer: 13.5 ounce bottle for $2.19
a 29.2 ounce bottle for $5.37
The 29.2 ounce bottle is better
Step-by-step explanation:
13.5 ounce bottle for $2.19
a 29.2 ounce bottle for $5.37
find the ratios
13.5/2.19 = $6.16 per unit
29.2/5.37 = $5.44 per unit
Answer:
a. AB = 3.4 ft
b. AE = 1.6 ft
Step-by-step explanation:
SOH CAH TOA reminds you of the relationship between trig functions and right triangle sides.
a. Cos = Adjacent/Hypotenuse
cos(28°) = BE/BA = 3 ft/BA
Multiplying by BA and dividing by cos(28°), you get ...
BA = (3 ft)/cos(28°) ≈ 3.4 ft
___
b. Tan = Opposite/Adjacent
tan(28°) = AE/BE = AE/(3 ft)
Multiplying by 3 ft, you get ...
AE = (3 ft)·tan(28°) ≈ 1.6 ft
