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defon
2 years ago
11

GEOMETRY PLEASE HELP

Mathematics
1 answer:
marysya [2.9K]2 years ago
7 0

Answer:

see explanation

Step-by-step explanation:

(5)

Since ∠EBA = 90° then ∠ABD = 90° ( straight angle ) and

∠ABC + ∠CBD = ∠ABD, that is

2x + 3x - 10 = 90, simplifying

5x - 10 = 90 ( add 10 to both sides )

5x = 100 ( divide both sides by 5 )

x = 20, thus

∠ABC = 2x = 2 × 20 = 40°

∠CBD = 3x - 10 = (3 × 20) - 10 = 60 - 10 = 50°

(6)

4x - 18 = 3x + 7 ( vertical angles are congruent )

Subtract 3x from both sides

x - 18 = 7 ( add 18 to both sides )

x = 25

7y = 5y + 28 ( vertical angles are congruent )

Subtract 5y from both sides

2y = 28 ( divide both sides by 2 )

y = 14

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A boat that sold for $12,500 had a sales tax of $562.50. How much is the tax on a boat that sells for $9,550?
Degger [83]

Answer:

$429.75

Step-by-step explanation:

First, find the tax rate on the sale of the boat:  Let r represent that rate.  Then,

$12,500r = $562.50.  Solving for r, we get r = $562.50 / $12,500 = 0.045

The tax rate is 0.045, or 4.5%.

Applying this tax rate to a boat selling for $9,550:

0.045($9,550) = $429.75.  This is the amount of tax on the 2nd boat.

7 0
2 years ago
What is the exact circumference of a circle with a diameter of 40 feet?
Irina-Kira [14]

Answer:

The answer is

<h2>126 feet</h2>

Step-by-step explanation:

Circumference of a circle is πd

Where d is the diameter

From the question

d = 40 feet

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40π

= 125.66

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Hope this helps you

7 0
3 years ago
I need help with this!! What is the answer???!
Natalija [7]

Answer:

53

Step-by-step explanation:

Sum of interior angles of a pentagon = 540°

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10x° + 10° = 540°

10x° = 540° - 10°

10x° = 530°

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2 years ago
How are dot plots, bar graphs, and histograms used to analyze data?
cestrela7 [59]
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3 years ago
Green paint can be made by mixing yellow and blue paint in a 2 : 5 ratio
svetoff [14.1K]

Answer:

4 : 10

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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