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3 years ago

Instructions: Problem 1 ! Find the missing angle in the image below. Do not include spaces in your answers

Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

5 0

Answer:

40 degrees

Step-by-step explanation:

The 100 degree angle is supplementary to angle CED. This means CED will end up being 80 degrees. Since the angles in all triangles equate to 180 degrees 80 + 60 + angle D must equal 180 degrees. Therefore, angle D has to be 40 degrees.

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Evaluate 1/4 c + 3d when c = 6 and d = 7

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$\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}$

<em>Evaluate 1/4c+3d when c=6, and d=7.</em>

<em />

<em> </em> $\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}$

Replace c with 6, and d with 7:-

$\Large\text{$\displaystyle\frac{1}{4} (6)+3(7)$}$

$\bigstar$ On simplification,

$\Large\text{$\displaystyle\frac{1}{4} \times\frac{6}{1}+21$}$

$\bigstar$ On further simplification,

$\Large\text{$\displaystyle\frac{6}{4} +21$}$

$\bigstar$ On further simplification,

$\Large\text{$\displaystyle\frac{6}{4}+\frac{84}{4}$}$

$\bigstar$ Adding the numerators,

$\Large\text{$\displaystyle\frac{90}{4}$}$

$\bigstar$ Finally, Reducing the fraction:-

$\Large\text{$\displaystyle\frac{45}{2}$}$

$\Uparrow$ $\mathbb{OUR\:SIMPLIFIED\:EXPRESSION}$

<h3>Good luck with your studies.</h3>

$\rule{50}{1}\smile\smile\smile\smile\smile\smile\rule{50}{1}$

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Step-by-step explanation:

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