The s um is positive because 11/12 is greater than 7/8
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Answer:
(b) 38.5
Step-by-step explanation:
The polygon is a trapezoid with bases 4 and 7 and height 7. Its area is given by the formula ...
A = (1/2)(b1 +b2)h
A = (1/2)(4 +7)(7) = 77/2
A = 38.5 . . . . square units
Answer:
32
Step-by-step explanation:
let b represent the number of blue marbles then
yellow = 5b + 7 and
b + 5b + 7 = 37, that is
6b + 7 = 37 ( subtract 7 from both sides )
6b = 30 ( divide both sides by 6 )
b = 5
Thus there are 5 blue and 5(5) + 7 = 25 + 7 = 32 yellow marbles
The equation in slope intercept form is
Y=.5x+3
The length of OM is 4/3 the length of OJ, and the length of ON is 4/3 the length of OK. Thus, two pairs of sides from the triangles are proportional to each other.
Also, angle O from one of the triangles is equal to angle O of the other triangle because they are the same angle.
Thus, the two triangles are similar by SAS (side-angle-side) similarity theorem. This theorem is quite similar to the SAS congruence theorem.
To make a similarity statement, we just have to match corresponding parts when naming the triangle.
Similarity statement: ΔOJK~ΔOMN
