(3) sølve føn the value below:
64 is 66% of what number?
a) 96
b) 92
c) 84
d) 108
e) 80
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gina wilson (all things algebra), 2013

A) 96

Step-by-step explanation:

Convert 66% to a decimal = 0.66

The number we are looking for should represent 100% of 1.0 as a decimal.

Based on the statement,

If 0.66 = 64

then 1.0 = ?

=(1.0 * 64) / 0.66

=64 / 0.66

= 96.969696

Therefore 96 is the answer.

To test it out, divide 64 by 96 and convert the answer to a percentage;

= (64/96)*100 = approx. 66%

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°