Answer:
74°
Step-by-step explanation:
A rhombus is a quadrilateral that has its opposite sides to be parallel to be each other. This means that the two interior opposite angles are equal to each other. Since the sum of the angles of a quadrilateral is 360°.
According to the triangle, since one of the acute angle is 32°, then the acute angle opposite to this angle will also be 32°.
The remaining angle of the rhombus will be calculated as thus;
= 360° - (32°+32°)
= 360° - 64°
= 296°
This means the other two opposite angles will have a sum total of 296°. Individual obtuse angle will be 296°/2 i.e 148°
This means that each obtuse angles of the rhombus will be 148°.
To get the unknown angle m°, we can see that the diagonal cuts the two obtuse angles equally, hence one of the obtuse angles will also be divided equally to get the unknown angle m°.
m° = 148°/2
m° = 74°
Hence the angle measure if m(1) is 74°
The answer is x=3, so that is false.
8,800.002816 as one mile equals 1760.0005632 yards
The value of 
is 
Explanation:
Given that 
and 
<u>The value of </u><u>:</u>
The value of can be determined by substituting x = 5 in the functions f(x) and g(x) and then dividing the terms, we get, the value of
Thus, we have,
Substituting the value of x = 5 in the functions f(x) and g(x), we get,
Simplifying the terms, we have,
Adding the terms in numerator, we have,
Thus, the value of is
