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butalik [34]
3 years ago
14

Find the value of x in each case. Give reasons to justify your solutions!

Mathematics
2 answers:
velikii [3]3 years ago
7 0

Answer:

x = 27

Step-by-step explanation:

Since AC and DE are parallel lines, then

∠ BAD = ∠ EDF= 2x ( corresponding angles )

The sum of the 3 angles in Δ BAD = 180°, thus

2x + 2x + 72 = 180, that is

4x + 72 = 180 ( subtract 72 from both sides )

4x = 108 ( divide both sides by 4 )

x = 27

ICE Princess25 [194]3 years ago
3 0

Answer:

x = 27

Step-by-step explanation:

hope i helped

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2.743/4

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200 AND 50

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In the similar quadrilaterals below, what is the measure of ∠G?
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23 over.30 ÷20 over 24
alexgriva [62]

Remark

Don't try and do this all at once. Break it down, otherwise you'll have layers and brackets all over the place.

Step One

Find 23/0.3

X = 23/0.3 = 76.7

Step Two

Now Divide by 20

x1 = 76.7 / 20

x1 = 3.83

Step Three

Take this result and put it over 24

x2 = x1/24

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6 0
3 years ago
Read 2 more answers
What is the surface area of this rectangular pyramid?
Alexxx [7]

Answer:

304m^2

Step-by-step explanation:

First find the surface area of the base by multiplying the length by the width.

(12m) (8m)= 96m^2

Second, find the surface area of the front and back triangles using the formula <em>1/2 (base) (height)</em>. Use the length for the base.

1/2 (12m) (10m)= 60m^2

Next, find the surface area of the side triangles using the formula <em>1/2 (base) (height). </em>Use the width as the base.

1/2 (8m) (11m)= 44m^2

Last, add the surface area of each section. Make sure you add the area of each face.(we only solved for 1 of the front/ back triangles and 1 of the side triangles) To make it easier to understand I wrote out an equation to show how I added the surface areas.

base=a, front/ back triangles= b, side triangles=c

SA= a + 2b +2c  or SA= a +b +b +c +c

Using one of the equations above solve for the total surface area.

SA= (96m^2) + (60m^2) +(60m^2) +(44m^2) +(44m^2)

or

SA= (96m^2) + 2(60m^2) +2(44m^2)

SA=  (96m^2) +(120m^2) +(88m^2)

SA= 304m^2

7 0
3 years ago
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