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Helen [10]
3 years ago
13

For the rhombus below, find the measure of angles 1,2,3 and 4.

Mathematics
1 answer:
Alexus [3.1K]3 years ago
5 0

Answer:

∠1 is 33°

∠2 is 57°

∠3 is 57°

∠4 is 33°

Step-by-step explanation:

First off, we already know that ∠2 is 57° because of alternate interior angles.

Second, it's important to know that rhombus' diagonals bisect each other; meaning they form 90° angles in the intersection. Another cool thing is that the diagonals bisect the existing angles in the rhombus. Therefore, 57° is just half of something.

Then, you basically just do some other pain-in-the-butt things after.

Since that ∠2 is just the bisected half from one existing angle, that means that ∠3 is just the other half; meaning that ∠3 is 57°, as well.

Next is to just find the missing angle ∠1. Since we already know ∠3 is 57°, we can just add that to the 90° that the diagonals formed at the intersection.

57° + 90° = 147°

180° - 147° = 33°

∠1 is 33°

Finally, since that ∠4 is just an alternate interior angle of ∠1, ∠4 is 33°, too.

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Mashutka [201]

Answer:

20 fence posts.

Step-by-step explanation:

Calvin is building a fence. The fence will enclose a 100 square foot area, 10 ft wide by 10 ft long. Calvin can put fence posts 2 feet apart.

Now, if he puts a fence post at each corner of the building, then considering each length of the building there will be (\frac{10}{2} + 1) = 6 posts along each length.

Now, considering each width of the building there will be (\frac{10}{2} - 1) = 4 posts (excluding the corner posts) along each width.

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3 years ago
I WILL GIVE YOU BRAINLIST IF YOU ARE CORRECT! THIS IS FOR 30 POINTS!
Maksim231197 [3]

Answer:If she buys 60 tiles, the cost at both shops is the same.

If she buys less than 60 tiles, then the second shop is cheaper.

If she buys more than 60 tiles, then the first shop is cheaper.

Step-by-step explanation:

Explanation:

Let the number of tiles be

x

At the first shop: Cost =

$

0.79

×

x

+

$

24

=

0.79

x

+

24

At the second shop: Cost =

$

1.19

×

x

=

1.19

x

If the cost is the same:

1.19

x

=

0.79

x

+

24

   

←

solve for x

1.19

x

−

0.79

x

=

24

0.4

x

=

24

x

=

24

0.4

x

=

60

tiles

If she buys less than 60 tiles, then the second shop is cheaper.

If she buys more than 60 tiles, then the first shop is cheaper.

8 0
3 years ago
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Talja [164]

Answer:

x=4,−3

Step-by-step explanation:

5 0
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nadya68 [22]

Answer:

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Disability Insurance = 0.4% of salary = 0.004x

Since his total contract with benefits is worth $48,814.20

This means that;

x + 0.12x + 0.003x + 0.004x = 48814.2

1.127x = 48814.2

x = 48814.2/1.127

x = $43,313.40

7 0
3 years ago
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Andreyy89
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m=(4-2)/(2-(-3))
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Therefore the slope is 2/5.
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3 years ago
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