Answers:
angle2 = 160 degrees
angle3 = 10 degrees
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Explanation:
The two triangles are congruent. We can prove this using SSS. The upper triangle is a mirrored copy of the lower triangle.
Since angle1 = 160 degrees, this means angle2 = 160 also. This is because the corresponding pieces of congruent triangles match up. Or you could use the second part of the hint which says "Opposite angles in a rhombus are congruent".
Let x be the measure of angle 3. For either isosceles triangle, it has congruent base angles measured x degrees. They add to the 160 degrees mentioned earlier to get a total of 180.
160+x+x = 180
2x+160 = 180
2x = 180-160
2x = 20
x = 20/2
x = 10
Angle 3 is 10 degrees.
Answer:
Slope of Parallel Line: -7
Step-by-step explanation:
A set of parallel lines will ALWAYS have the same slope. Perpendicular lines will have complete opposite slopes, for example, the slope of a line perpendicular to this one would be 1/7. If the slope is positive, the other slope will be negative and vice versa. For perpendicular lines, you also have to flip the fractions.
Answer:
Step-by-step explanation:
x²-8x+ 14 =2x+7
x² - 8x +14 - 2x - 7 = 0
x² - 10x + 7 = 0
96% is the answer 100%/x%=125/120
(100/x)*x=(125/120)*x - we multiply both sides of the equation by x
100=1.04166666667*x - we divide both sides of the equation by (1.04166666667) to get x
100/1.04166666667=x
96=x
x=96
60/8=7.5
So that means one child is $7.50
195/7.5=26
26 students
