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3 years ago

EXTRA CREDIT: Regular hexagon ABEFGH and regular quadrilateral BCDE meet at

Mathematics

1 answer:

never [62]3 years ago

8 0

Answer:

B.150°

Step-by-step explanation:

A regular hexagon has six sides.

The measure of the interior angle is 120°

At the point where vertices B and E share a common edge, angle BED is 90°

The sum of angle measures at point of intersection of edge BE ,ED and FE is equal to 360°

To get measure of angle DEF will be ;

=360° - {90°+120°}

=360°- {210°}

=150°

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What is the midpoint of the line segment that has endpoints (3,8) and (1,−4) ?

bezimeni [28]

Answer:

Step-by-step explanation:

Midpoint Formula:

$\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}$

$\frac{3+1}{2}$ ⇒ $\frac{4}{2}$ ⇒ $2$

$\frac{8+-4}{2}$ ⇒ $\frac{8-4}{2}$ ⇒ $\frac{4}{2}$ ⇒ $2$

$(2,2)$

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4 years ago

At the start of the month, the value of an investment was $73.42. By the end of the month, the value of the investment changed b

Aleonysh [2.5K]

Answer:

0.8%.

Step-by-step explanation:

Given:

At the start of the month, the value of an investment was $73.42.

By the end of the month, the value of the investment changed by a loss of $13.53.

Question asked:

What was the value, in dollars, of the investment at the end of the month?

What was the percent loss?

Solution:

At the start of the month, the value of an investment = $73.42.

Loss = $13.53.

The value, of the investment at the end of the month = The value of an investment at the start of the month - loss

The value, of the investment at the end of the month = $73.42 - $13.53

= $59.89

Thus, the value, of the investment at the end of the month is $59.89.

Now, we will find percent loss:-

$Percent\ loss = \frac{Loss}{value\ of \ investment\ at \ start}$

$=\frac{59.89}{73.42} \\=0.81\%$

Thus, percent loss on investment by the end of the month is 0.8%.

7 0

3 years ago

4 times the measure of the complement of an angle is equal to 2/3 the measure of the original's angles's supplement. what is the

scoundrel [369]

Answer:

72 degrees.

Step-by-step explanation:

If the angle is x degrees its complement is 90-x degrees and it's supplement is 180-x degrees.

4(90-x) = 2/3(180 - x)

360 - 4x = 120 - 2/3 x

360 - 120 = -2/3 x + 4x

240 = -2/3 + 12/3 x

240 = 10/3 x

x = 240 * 3/10

x = 72 degrees.

7 0

3 years ago

To practice for a competition, Sasha swam 520 meters in the pool each day for 3 weeks. How many kilometers did Sasha swim in tho

lilavasa [31]

520x21 is 10,920

So she swam 10.92kilometers

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3 years ago

What is the percentage of sugar in the syrup made of 10 kg of water and 15 kg of sugar?

ra1l [238]

Step-by-step explanation:

divide the weight of the sugar by the weight of the water then multiply it by hundred

4 0

4 years ago

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