Answer:
x = 53
Step-by-step explanation:
Remember that the sum of all 3 interior angles in a triangle is 180∘ so
74 + x + x = 180
74 + 2x = 180
2x = 180 - 74
2x = 106
x = 106/2
x = 53
Answer:
20% increase
Step-by-step explanation:
30-25=5
solve for x
(5*100)/25 = 20
120 cm=120 cm*(10 mm/1cm)=1200 mm,
Ratio: 1200 mm / 80 mm=15/1
Answer:
C. 15 to 1
Answer:
C. I & III
Step-by-step explanation:
I simplifies to ...
2(6x +15 -5x) +4 = 40
12x +30 -10x +4 = 40
2x +34 = 40
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II simplifies to ...
40 = 2(15 -x) +4
40 = 30 -2x +4
40 = -2x +34 . . . . . . not equivalent to I (sign of x-term is different)
__
III simplifies to ...
12x +30 -10x +4 = 40
2x +34 = 40 . . . . . . equivalent to I
___
I & III are equivalent
There are a number of ways this can be done. One that is fairly simple is as follows.
Triangle ABC has base AC = 9 and height B to AC of 3 (found by counting squares). Thus its area is ∆ABC = (1/2)·9·3 = 13.5 square units.
Triangle ACF has base AC = 9 and height F to AC of 3, so will have the same area as triangle ABC, 13.5 square units.
Trapezoid CDEF has base CD of 6, base EF of 4 and height EF to CD of 6 (found by counting squares). Thus its area is CDEF = (1/2)(6 + 4)(6) = 30.
The total area of the entire figure is then
... ∆ABC + ∆ACF + CDEF = 13.5 + 13.5 + 30 = 57 square units.
