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°
4800 meters per 60 minutes
Divide 4800 meters by 60 minutes
80meters per minute
Answer:
Step-by-step explanation:
<em>Set up equations (L= Lisa; M = Maria; A = April; J = Jim)</em>
L = 12M
A = 2J
<em>Substitute x for Maria and 6x for Jim</em>
L = 12x
A = 2(6x) = 12x
<em>So, you get:</em>
Maria = x
Jim = 6x
Lisa = 12x
April = 12x
Answer:
P in terms of V is:
P = 432/V
Step-by-step explanation:
We know that y varies inversely as x, we get the equation
y ∝ 1/x
y = k/x
k = yx
where k is called the constant of proportionality.
In our case,
P is inversely proportional to V
Given
P = 18
V = 24
so
P = k/V
k = PV
substituting P = 18 and V = 24 to determine k
k = 18 × 24
k = 432
now substituting k = 432 in P = k/V
P = 432/V
Therefore, P in terms of V is:
P = 432/V
Answer:
The type of sample that can be considered unreliable is type (a), in which responses are voluntary.
Step-by-step explanation:
The type of sample that can be considered unreliable is type (a), in which responses are voluntary.
It can be considered unreliable because being voluntary, the answers will give a biased result and the analysis will not be valid.
The rest of the options, if the necessary collections are taken, are samples that can be considered reliable.
