Answer:
Step-by-step explanation:
First use the fact that the sum of interior angles of a triangle is 180° to find the measure of the missing angle
in ΔDEF we have 180 -68 -81 = 31°
in ΔABC we have 180 -68 -33 = 79°
the measure of the angles in ΔABC and ΔDEF are different 33°, 68°, 79° ≠81°, 68°, 31°so the two triangles are not congruent.
Answer:
2) 14 y 2 m
Step-by-step explanation:
Year 9 students: total age= 100* 14 10/12= 1400 +100*5/6= 1483 y 8 m
Year 8 students: total age= 100* 13 6/12= 1350 y
Total age of 200 students: 1483 y 8 m + 1350 y= 2833 y 8 m
Average age= 2833 8/12 ÷ 200= (12*2833+8)/12 ÷ 200 = 34004/(12*200)= 34004/2400= 14 404/2400 ≈ 14 1/6 y= 14 y 2 m
The circumference of a circle with radius
is
. If the length of the radius is tripled, then the circumference becomes
, which is just 3 times the original circle's circumference.
Area of a trapezoid
1/2(a+b)(h) where a and b are the parallel sides and h is the height.
a = 12.9, b = 8.6, h = 6.4
A = 1/2(12.9 + 8.6)(6.4) = 68.8 cm²
Answer: 104.77 $ without coupon
94.77 $ with coupon
Step-by-step explanation:
25.99 Times 3 = 77.97 $
5.65 times 2 = 11.3 $
77.97+11.3=89.27 $
89.27 + 15.50 = 104.77 $
104.77 - 10 dollars of coupon = 94.77 $
