Let's solve this problem step-by-step.
To begin with, it is important to establish the following formula:
Angle sum of all triangles = 180°
Using this formula as well as the values of two out of three of the angles given, we can identify the value of the unknown angle as displayed as the following:
Let the unknown angle = x
Make (x) the subject as displayed as the following:
Angle sum of all triangles = 180°
180 = x + 63 + 59
x = 180 - 63 - 59
x = 58°
Therefore, the measure of each of the angles is as follows:
63°
59°
58°
Answer: D: -2
explanation:
1. divide fractions inside brackets by multiplying by the reciprocal
1/4 • 4/7
= 4/28
2. multiply 4/28 by 7/5
= 28/140 which can be reduced to 1/5
3. multiply by -10
= 1/5 • -10
= -2
<span>6( 5-8x) +12= -54
30-48x+12=-54 this comes from distributing(multiplying) 6x5 and 6 times -8x
30+12-48x=-54 you have to add the coefficients 30+12
42-48x=-54
-42 -42
-----------------------
-48x=-96 divide by -48
x=2</span>
This is something to memorize
y = r*sin(theta)
so if y = 2, then
2 = r*sin(theta)
Divide both sides by sin(theta) to get
r = 2/sin(theta)
r = 2csc(theta)
