Answers:
angle2 = 160 degrees
angle3 = 10 degrees
============================================
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.
Linear angles are two angles that are part of a straight angle (180*), so both must add up to 180. If 4x+3+10x-5+180, then 14x-2=180, then 14x=182, and x=13
Answer:
She will earn £9.01 per hour after the pay rise
Step-by-step explanation:
Here, we want to calculate a value, given the percentage of the pay rise
From the question, the percentage is 6%
The pay rise is thus;
8.50 + 6% of 8.50
= 8.50 + (6*8.5)/100
= 8.50 + 0.51
= £9.01
Answer:
so where are the 3 consecutive numbers?
