How to do this geometry proof?

Mathematics

1 answer:

r-ruslan [8.4K]3 years ago

6 0

ABCDEF is a regular hexagon so every angle is even.

A sum of degrees of all internal angles = (n-2)×180°
n - the number of angles

S = (6-2)×180°
S = 4 × 180°
S = 720°

One angle in the hexagon = 720°:6 = 120°
∡DEF = ∡ABC = 120°
The triangles DEF and ABC are isosceles triangles, so:
∡BAC = ∡BCA = ∡EDF = ∡EFD = (180°-120°):2 = 30°

∡AFD + ∡EFD = 120°
∡AFD = 120° - ∡EFD
∡AFD = 120° - 30°
∡AFD = 90°

Do the same with other angles.

:)

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Gwar [14]

Answer:

10.5 cm^2

Step-by-step explanation:

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Reading from the diagram

length = 7 cm

height = 3 cm

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4 0

3 years ago

Julia is allowed to watch no more than 5 hours of television a week. So far this week, she has watched 1.5 hours. Write and solv

Leona [35]

The inequality is used to solve how many hours of television Julia can still watch this week is $x + 1.5 \leq 5$

The remaining hours of TV Julia can watch this week can be expressed is 3.5 hours

<h3><u>Solution:</u></h3>

Given that Julia is allowed to watch no more than 5 hours of television a week

So far this week, she has watched 1.5 hours

To find: number of hours Julia can still watch this week

<em>Let "x" be the number of hours Julia can still watch television this week</em>

"no more than 5" means less than or equal to 5 ( ≤ 5 )

Juila has already watched 1.5 hours. So we can add 1.5 hours and number of hours Julia can still watch television this week which is less than or equal to 5 hours

number of hours Julia can still watch television this week + already watched ≤ Total hours Juila can watch

$x + 1.5 \leq5$