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nadezda [96]
3 years ago
7

Find the value of x. The diagram is not to scale.

Mathematics
2 answers:
tester [92]3 years ago
7 0
X=15 its simple since there's base angles and straight angle
icang [17]3 years ago
6 0
-----------------------------------------------------------------------------
Isosceles triangle 
-----------------------------------------------------------------------------
∠STR = ∠SRT = 5x - 30

-----------------------------------------------------------------------------
Adjacent angles on a straight line is 180°
-----------------------------------------------------------------------------
∠STR + ∠ STU = 180°

(5x - 30) + 5x = 180
5x - 30 + 5x = 180
10x - 30 = 180
10x = 180 + 30
10x = 210
x = 21

-----------------------------------------------------------------------------
Answer: x = 21
-----------------------------------------------------------------------------
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now, if we check how much is the ratios of C/D for each component, then, mixture M = 144p + 60q, must contain the same ratio for each "p" and "q" component

\bf \textit{ratio of "p"}\implies \cfrac{6}{4.5}\implies \cfrac{4}{3}
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\textit{ratio of "q"}\implies \cfrac{3}{1.5}\implies \cfrac{2}{1}

so, if we divide the 144p by 4+3, or 7 even pieces, 4 must belong to food C and 3 to food D, retaining the ratio of 4/3

and we do the same for 60q, we divide it in 2+1 or 3 even pieces, but that one is very clear, 2 must belong to food C and 1 to food D, 60/3 is clear ends up with a ratio of 40 and 20

now the "p" part... ends up as \bf \cfrac{144}{7}\cdot 4\qquad and\qquad \cfrac{144}{7}\cdot 3\implies \cfrac{576}{7}\qquad and\qquad \cfrac{432}{7}

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The solution to an absolute value inequality is shown on the graph below.

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Answer:

The percentage people surveyed like to the new product is 44%.

Step-by-step explanation:

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Company took a survey about its new project, hundred people surveyed, 44 liked the new product.

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