Answer:
Step-by-step explanation:
Corresponding angles: ∠2=∠ 6 ; ∠1 = ∠5 ; ∠4 = ∠8; ∠3 =∠7
Vertically opposite angles: ∠1 = ∠3; ∠2 = 4; ∠5 = ∠7 ; ∠6 = ∠8
Interior angles : ∠4, ∠3 , ∠6, ∠7
alternate interior angles are equal: ∠3 = ∠5 ; ∠4 = ∠6
Answer: 55
Step-by-step explanation:
90+35=125
180 is the total degrees of an angle so 180-125= 55
For this problem we can represent the situation as a rectangle triangle.
x: depth of water.
40: Base. "Antonio pulls the lily to one side, keeping the stem straight, until the blossom touches the water at a spot"
x + 8: Hypotenuse. "He notices water lily sticking straight up from the water, whose blossom is 8 cm above the water's surface." Antonio pulls the lily to one side, keeping the stem straight, until the blossom touches the water at a spot".
By the Pythagorean theorem we have:
x ^ 2 + 40 ^ 2 = (x + 8) ^ 2
Clearing x:
x ^ 2 + 1600 = x ^ 2 + 16x + 64
x ^ 2 - x ^ 2 = 16x + 64 - 1600
0 = 16x -1536
1536 = 16x
1536/16 = x
x = 96
answer:
1) x ^ 2 + 40 ^ 2 = (x + 8) ^ 2
2) the depth of the water is
x = 96
Answer:
The cars are 10702ft apart
Step-by-step explanation:
Height of the plane from the high way = 5150ft
Considering Triangle ABD, we will be using SOHCAHTOA
Tan = Opposite/ Adjacent
Tan 54° = Y/5150
Y = 5150*tan54°
Y = 7088 ft
Considering Triangle ADC, Tan = Opposite/ Adjacent is also applicable
Tan 34° = X/5150
X = 5150*tan 54°
X = 3614ft
The distance between the two cars = (X+Y)
= 7088 + 3614
= 10702ft
Answer:
True
I hope this will Help you
