Answer: 47°
To find the answer, you must use sin⁻¹ (INVERSE SIN) to find x which is the reference angle.
If you look at the triangle, you can tell that we must use sin because we have an opposite (39) and an hypotenuse length (53).
Sine = OPPOSITE/Hypotenuse
So you use a calculator and insert sin⁻¹ 39/ 53.
Or depending on your calculator you could insert 39/ 53, then sin after it.
The calculator would give you <u>47.379009047.</u>
But you have to round 47.379009047 to the nearest degree, so your answer is 47°.
Answer:
Same:
A 50% decrease followed by a 100% increase.
A 33 1/3% decrease followed by a 50% increase.
Less:
A $25 increase followed by a $30 decrease.
A 20% increase followed by a 25% decrease.
Greater:
An 80% increase followed by a 40% decrease.
Answer:
(A) shows two triangles that are congruent by AAS. AAS (Angle-Angle-Side) postulate states that if two angles and the non-included side one triangle are equal to the two angles and the non-included side of the another triangle, then the two triangles are said to be congruent.
https://www.google.com/search?q=Which+shows+two+triangles+that+are+congruent+by+aas?&tbm=isch&source=iu&ictx=1&fir=XtxdAOttHLP1AM%253A%252Cbcu8iEfynp4JLM%252C_&vet=1&usg=AI4_-kQGedO-5bkr972XF-k3CYUquioH8Q&sa=X&ved=2ahUKEwjUlZKC08njAhUxh-AKHXeFBusQ9QEwAHoECAUQAw#imgrc=XtxdAOttHLP1AM:
3/5g-(1/3)=(-10/3)
move the 1/3 over
3/5g=(-10/3)+(1/3) (notice the + sign)
3/5g= (-9/3)
3/5g=(-3)
move the 3/5 over (divide)
g= (-3/(3/5))
g= (-3x5/3)
g= -15/3
g= -5
Answer:
A. 6.681.060.239
Step-by-step explanation:
a1 = 7
r = (-8)
n= 11
S11 = 7((-8)^11 - 1)/ (-8-1)
= -7/9 ( -8,589,934,591)
= 6.681.060.239