Answer:
x = 41
y = 65
z = 107
Step-by-step explanation:
y and 65 are vertically opposite angles. Vertically opposite angles are equal.
y = 65
74 + y + x = 180
74 + 65 + x = 180
139 + x = 180
x = 180 - 139
x = 41
z is the exterior angle, whereas 66 and x are interior angles in a triangle.
Formula : -
Exterior angle = Sum of two interior angles
z = 66 + x
= 66 + 41
z = 107
The measures of all of the interior angles of the triangle are 70 degrees, 70 degrees and 40 degrees
<em><u>Solution:</u></em>
Given that exterior angle of triangle is 140 degrees
The exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles
Given that adjacent angles are congruent
Let one of the non adjacent interior angles be "x"
x + x = 140
2x = 140
x = 70
So the two interior angles are 70 degrees and 70 degrees
Let us find the third interior angle
The angle sum property of a triangle states that the interior angles of a triangle always add up to 180 degrees
70 + 70 + third angle = 180
third angle = 180 - 70 - 70
third angle = 180 - 140
third angle = 40 degrees
Thus the measures of all of the interior angles of the triangle are 70 degrees, 70 degrees and 40 degrees
Answer:
<em>There's an infinite number of possible answers because there might be any multiplication of 3 for boys and any multiplication of 2 for girls. So, for example:</em>
<em>There might be 3 boys and 2 girls.</em>
<em>There might be 6 boys and 4 girls.</em>
<em>There might be 9 boys and 6 girls.</em>
<em>There might be 12 boys and 8 girls.</em>
<em>etc...</em>
<em>In each case the ratio stays the same - 3 : 2.</em>
<em>Of course there probably can't be more than a few dozens of people in one class, but theoretically we can raise the numbers up to infinite.</em>
Step-by-step explanation:<em>hope this help.</em>
Answer:
the initial height of water.
Step-by-step explanation:
when time equals zero, no water has been drained.
the volume of the tank is unknown however the volume in the tank is 12 at time zero
