Answer: 17.9
Step-by-step explanation:
Using Heron's formula:
Area of a triangle is given by:
√s(s-a)(s-b)(s-c)
Where a, b and c ara sides of the triangle and
S = (a+b+c) / 2
In the question above sides are :
XY=XZ= 20 and YZ=18
S = (20 + 20 + 18) / 2 = 58/2 = 29
Area = √29(29-20)(29-20)(29-18)
Area = √29(9)(9)(11)
Area = √25839
Area = 160.74513
Altitude = height(h)
Area = 0.5 × base × height
Base = yz = 18
160.74513 = 0.5 × 18 × h
160.74513 = 9 × h
h = 160.74513 / 9
h = 17.9 (3 s.f)
Answer: 20 miles? lol
Step-by-step explanation:
The temperature will fall 24 more degrees in the next 15 hours.
We know that both triangles are congruent because of the HL Theorem (in which both the hypotenuse and a leg are confirmed as congruent in a right triangle). Because of this, we know 4x = 6x - 58
Subtract 6x from both sides:
-2x = -58
Multiply both sides by -1:
2x = 58
Divide both sides by 2:
x = 29
The answer is Option C, x = 29