Answer:
4.2 ft
Step-by-step explanation:
Reference angle = 77°
Opposite side = DE = x
Hypotenuse = CD = 4.3 ft
Apply the trigonometric function of sine. Thus:
Sin 77 = opp/hyp
Sin 77 = x/4.3
Multiply both sides by 4.3
4.3 × sin 77 = x
x = 4.2 ft (nearest tenth)
Explanation:
Statements are numbered; reasons are in italics.
1. ABCD is a parallelogram with AB≅CD and BC≅AD. <em>Given; definition of a parallelogram</em>.
2. Diagonal AC ≅ diagonal CA. <em>Reflexive property of congruence</em>.
3. ΔABC ≅ ΔCDA. <em>SSS congruence postulate</em>.
4. ∠B ≅ ∠D. <em>CPCTC</em>. (Opposite angles B and D are congruent.)
5. Diagonal BD ≅ diagonal DB. <em>Reflexive property of congruence</em>.
6. ΔABD ≅ ΔCDB. <em>SSS congruence postulate</em>.
7. ∠A ≅ ∠C. <em>CPCTC</em>. (Opposite angles A and C are congruent.)
Answer:
Step-by-step explanation:
slope = (-5-(-1))/(0-(-2)) = (-4)/2 = -2
y+5 = -2(x-0)
y = -2x - 5
Using proportions, it is found that due to the smaller division of the exchange rate by the cost, the souvenir would be less expensive in Egypt.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
The souvenir would be less expensive in the <u>country in which the division of the exchange rate by the cost is smaller</u>.
In Britain, the cost is of 17, with an exchange rate of 0.83, hence the cost in US dollars is:
c = 17/0.83 = $20.48.
In Egypt, the cost is of 288, with an exchange rate of 18, hence the cost in US dollars is:
c = 288/18 = $16.
16 < 20.48, hence the souvenir would be less expensive in Egypt.
More can be learned about proportions at brainly.com/question/24372153
#SPJ1
