Answer:
value of x is 59.5
Step-by-step explanation:
Solution.
Given, Right angled triangle
where reference angle given 48
hypotenuse(h)=80
perpendicular(p)=x
Now ,
I) sin48=p/h
or,sin48×h=p
or0.978×80=x
.°. 59.5=x
Answer:
A. Triangles are similar by AA similarity.
Step-by-step explanation:
By the Angle Angle Similarity Theorem, if two pairs of corresponding angles are congruent, then the triangles are similar. As a given, Angle E is 35 degrees and Angle B is 45 degrees, which means that Angle R is 100 degrees; By definition, a triangle is 180 degrees in total. Therefore, Angle R is congruent to Angle A. Angles REB and AEZ are also congruent by the vertical angle theorem.
In conclusion, triangles AEZ and REB are similar by the AA similarity theorem.
Let the cost of a chicken be x and the cost of a duck, y, then
50x + 30y = 550 . . . (1)
44x + 36y = 532 . . . (2)
(1) x 6 ⇒ 300x + 180y = 3,300 . . . (3)
(2) x 5 ⇒ 220x + 180y = 2,660 . . . (4)
(3) - (4) ⇒ 80x = 640
⇒ x = 640 / 80 = 8
From (1): 50(8) + 30y = 550
⇒ 30y = 550 - 400 = 150
⇒ y = 150 / 30 = 5
Therefore, the price of a chicken is $8 and the price of a duck is $5.
Answer:
The answer is 87.74
Step-by-step explanation:
I just put it in the calculater,lol
Answer:
For the Son of man is come to save that which was lost. ... For God did not send His Son into the world to condemn the world, but to save the world through Him.
Step-by-step explanation:
