Answer:
120 °
Step-by-step explanation:
the angle contained in a circle = 360 °
135 + 105 +? = 360
240 + ? =360
? = 360 - 240
= 120°
Answer:
Step-by-step explanation:
[Most of the work here comes from manipulating the trig to make the term (integrand) integrable.]
Recall that we can express the squared trig functions in terms of cos(2x). That is,
And so inverting these,
.
Multiply them together to obtain an equivalent expression for sin^2(x)cos^2(x) in terms of cos(2x).
Notice we have cos^2(2x) in the integrand now. We've made it worse! Let's try plugging back in to the first identity for cos^2(2x).
So then,
This is now integrable (phew),
<span>It is: 1.5/100.5 = 1/67 </span>4 goes into 9 two times with a remainder of 1. Bring down the 6 and 4 goes into 16 4 times.So 96 divided by 4 is 24
Answer:
Choice B) Angle EGH------------------------------------------------
The given angle is DGE. Exactly two of the letters (D, G, and E) will be found in any adjacent angle to this given one. For example, angle FGD is adjacent to DGE because of the shared letters D and G. The two angles share the segment DG.
Similarly, angle DGE is adjacent to EGH for the same reason. Now segment EG is the overlapping shared segment. Note how "E" and "G" can be found in the given angle and the answer.
Edit: see the attached image for visual proof. The given angle is in red. The angle for the answer is in blue.
Answer:
∠a and ∠d; ∠b and ∠c
Step-by-step explanation:
The two triangles as similar triangles and the scale factor is 2 : 1
The sides measuring 6 and 3 are corresponding sides
The sides measeuring 8 and 4 are ocrreposnding sides
⇒ ∠a and ∠d are corresponding angles
The sides measuring 8 and 4 are corresponding sides
The sides measeuring 4 and 2 are ocrreposnding sides
⇒ ∠b and ∠c are corresponding angles