Answer:
x = 10
Step-by-step explanation:
With UW extended to point X, then
∠VWX is an external angle of the triangle.
The external angle of a triangle is equal to the sum of the 2 opposite interior angles, that is
∠VWX = ∠WUV + ∠UVX ← substitute values
6x - 19 = 3x + 3 + x - 2, that is
6x - 19 = 4x + 1 (subtract 4x from both sides )
2x - 19 = 1 ( add 19 to both sides )
2x = 20 ( divide both sides by 2 )
x = 10
Pythagoras theorem only works for right triangle (90 degree)
Trigonometry (sin, cos, tan) works everywhere!
Hopefully I answered your question!
If you want to learn more about Trigonometry or Pythagoras theorem, send me a message and add me as friend on Brainly. I'm a mathematician and an astrophysicist
:) have a great day!
The ratio of major to minor arc = 2 : 1
What is a Circle?
A circle is the locus of a point such that its distance from a fixed point (center) is always constant.
Calculation
The length of an arc (L) with center angle θ is given by:
L = (θ/360) * 2πr
where r is the radius.
Putting the values in the above formula.
For the major arc:
L = (240/360) * 2πr
For the major arc:
l = ((360-240)/360) * 2πr
l = (120/360) * 2πr
The ratio of major to minor arc = [(240/360) * 2πr] / [(120/360) *2πr] = 2 : 1
The ratio of major to minor arc = 2 : 1.
Learn more about the circle here:
brainly.com/question/15125799
#SPJ1
Let us say that:<span>
P = present value
F = future value
i = interest rate
n = period
P = F / [ (1 + i ) ^n ]
P = 200000 / [ (1 + 0.011) ^6 ]
P = 187293.65
<span>Therefore the student must put up Php 187,293.65</span></span>
Answer: 5 cookies
Step-by-step explanation: 8 + .4c = 2.5 + 1.5c
8 + 0.4c = 2.5 + 1.5c
8 · 10 + 0.4c · 10 = 2.5 · 10 + 1.5c · 10
80 + 4c = 25 + 15c
4c = 15c - 55
4c - 15c = 15c - 55 - 15c
-11c = -55
c = 5