Hi, pls help, i need to these questions answered for my math hw, it'll count as a test. tysm in advance. 1. Find all angles, 0≤θ<360, that satisfy the equation below, to the nearest 10th of a degree.
2cos^2θ−cosθ=0
2. Find all angles, 0≤θ<360, that satisfy the equation below, to the nearest 10th of a degree.
8sinxcosx=−5cosx
3. Assume that θ is a positive acute angle.
Given: cosθ= 12/37
Find: cos2θ
4. For positive acute angles A and B, it is known that tanA= 15/8 and cosB= 12/13. Find the value of cos(A+B) in simplest form.
5. If cos B= 1/2, then what is the positive value of sin1/2B, in simplest radical form with a rational denominator?
6. Two forces of 630 newtons and 170 newtons act simultaneously on an object. The resultant forms an angle of 59 with the 170-newton force. Find the angle formed between the two original forces, to the nearest degree.

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.