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Andrews [41]
2 years ago
12

Please help. It’s a multiple choice question. I’ve my answer, but I’m not sure.

Mathematics
1 answer:
S_A_V [24]2 years ago
3 0

Answer:

66 degree

Step-by-step explanation:

given:

angle FAB = 48 degree

angle ECB = 18 degree

in triangle HBC , angle H is also 48 degree degree since the line is parallel the connection between angle H and angle A is alternate interior angle and alternate interior angle are always equal.

so angle H = 48 degree

in triangle HBC

angle H + angle C = angle ABC (sum of two interior opposite angles are equal to the exterior angle formed)

48 + 18 = angle ABC

66 = angle ABC

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1 year ago
Andrew
PilotLPTM [1.2K]
Let's say Bailey takes "b" days to paint it.

and Andrew takes "a" days to paint the same house.

now, Andrew is 6 times faster than Bailey, therefore, if Andrew takes "a" days to do it, Bailey takes then "6a" days, or b = 6a.

now, the year they worked together, they finished it in 7 days.

so, after 1 day then, they have only done 1/7 of the whole work.

and Andrew for one day, has done 1/a of the house, whilst Bailey has done 1/b of the house or 1/(6a).

\bf \stackrel{\textit{Andrew's rate}}{\cfrac{1}{a}}+\stackrel{\textit{Bailey's rate}}{\cfrac{1}{b}}=\stackrel{\textit{1 day of work}}{\cfrac{1}{7}}
\\\\\\
\cfrac{1}{a}+\cfrac{1}{6a}=\cfrac{1}{7}\impliedby 
\begin{array}{llll}
\textit{let's multiply all by }\stackrel{LCD}{42a}\textit{ to toss the}\\
denominators
\end{array}

\bf 42a\left( \cfrac{1}{a}+\cfrac{1}{6a} \right)=42a\left( \cfrac{1}{7} \right)\implies 42+7=6a\implies \cfrac{49}{6}=a
\\\\\\
\stackrel{days}{8\frac{1}{6}}=a
\\\\\\
\textit{how many days will it take Bailey then?}\quad b=6a
\\\\\\
b=6\cdot \cfrac{49}{6}\implies b=\stackrel{days}{49}
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3 years ago
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Step-by-step explanation:

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Andrej [43]

9514 1404 393

Answer:

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Step-by-step explanation:

Here, we take "standard form" to mean "vertex form."

In the US, "standard form" would be ...

  y = x² -10x +21

Vertex form is ...

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4 0
2 years ago
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