STU + STR = 180
8x + STR = 180 [ STU = 8x ]
STR = 180 - 8x
STR = SRT [ RS ≈ ST ]
Now, In ΔSRT,
we have, RST = 7x - 54, STR = SRT = 180-8x
Their sum is 180, as it constitutes a triangle.
7x-54 + 2(180-8x) = 180
7x - 54 + 360 - 16x = 180
306 - 9x = 180
9x = 306 - 180
9x = 306 - 180
x = 126/9
x = 14
So, option A is your answer.
Hope this helps!
Answer: measure angle E= 88
Answer:
Below
Step-by-step explanation:
All figures are squares. The area of a square is the side times itself
Let A be the area of the big square and A' the area of the small one in all the 5 exercices
51)
● (a) = A - A'
A = c^2 and A' = d^2
● (a) = c^2 - d^2
We can express this expression as a product.
● (b) = (c-d) (c+d)
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52)
● (a) = A-A'
A = (2x)^2 = 4x^2 and A'= y^2
● (a) = 4x^2 - y^2
● (b) = (2x-y) ( 2x+y)
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53)
● (a) = A-A'
A = x^2 and A' = y^2
● (a) = x^2-y^2
● (b) = (x+y) (x-y)
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54)
● (a) = A-A'
A = (5a)^2 = 25a^2 and A' =(2b)^2= 4b^2
● (a) = 25a^2 - 4b^2
● (a) = (5a-2b) (5a+2b)
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55)
● (a) = A - 4A'
A = (3x)^2 = 9x^2 and A'= (2y)^2 = 4y^2
● (a) = 9x^2 - 4 × 4y^2
● (a) = 9x^2 - 16y^2
● (a) = (3x - 4y) (3x + 4y)
The answer to 1.84 x 25.1 is 46.184. Hope this helped.
64 ÷ 8 = 8
8 × 5 = 40 guitarists
10 play jazz
30 play classical
