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Elden [556K]
3 years ago
14

Given: angle ABD is congruent to angle DBC are complementary

Mathematics
1 answer:
nadya68 [22]3 years ago
5 0

Answer:

∠ABD ≅ ∠DBC - Given.

∠ABD and ∠DBC are complimentary angles - Given.

∠ABD + ∠DBC = 90° - Definition of complimentary angles.

∠ABD + ∠DBC = ∠ABC - Angle addition postulate.

∠ABC = 90° - Substitution property.

∠ABC is a right angle - Definition of a right angle.

~Hope this helps!~

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You have decided to purchase a car for $19,000. The credit union requires a 10% down payment and will finance the balance with a
Lady_Fox [76]
<h2>○=> <u>Correct option</u> :</h2>

\color{plum} \bold{ \tt \:  \bold{C.  \$20,652.00}}

<h3>○=> <u>Steps to derive correct option</u> :</h3>

Selling price of a car = $19,000

Percentage of sales tax in the city = 8.3%

Sales tax :

= \tt  \frac{8.3}{10 \times 100}  \times 1900

= \tt  \frac{8.3 \times 19000}{1000}

= \tt  \frac{1577000}{1000}

\color{plum} = \tt  \$1577

Thus, the sales tax on the car = $1577

Cost of license and title = $75

Total price of car :

= Cost price of car + Sales tax + cost of license/title

=  \tt19000 + 1577 + 75

\color{plum} = \tt  \$20652

Thus, the total purchase price of the car = $20,652.00

Therefore, the correct option is <em>(C) $20,652.00</em>

6 0
2 years ago
Pls help how do i solve for x in this equation??
evablogger [386]

Answer:

x = -2

Step-by-step explanation:

1. Square both sides
x^2 +3x + 6 = x^2
2. Subtract x^2 from both sides
3x + 6 = 0
3. Subtract 6 from both sides and divide by 3
x = -2

6 0
1 year ago
A car travels 384 kilometers in 4 hours. (with a constant speed) how much time will it take traveling at 144 kilometers?
erica [24]

Answer:

1.5 hours or 90 minutes

Step-by-step explanation:

384 km: 4 hours

divide both sides by 4

96 km: 1 hour

multiply both sides by 1.5

144 km: 1.5 hours

4 0
2 years ago
Read 2 more answers
800 g pineapple
neonofarm [45]

Answer:

<u>30 people </u>

Step-by-step explanation:

The question is as following:

Here are the ingredients for pineapple sherbet for 6 people

800g pineapple 4 egg whites 1/2 lemon 100g caster sugar

Dan makes pineapple sherbet he uses 2 1/2 lemons

work out how many people he makes pineapple sherbet for?

=======================================================

1/2 lemon needed for pineapple sherbet for 6 people

2 1/2 lemons needed for pineapple sherbet for <u>x</u> people

1/2 : 6 = 2 1/2 : x

∴ x = ( 6 * 2 1/2 ) ÷ (1/2)

x = 6 * 5/2 * 2 = 30 people

<u>So, he make the pineapple sherbet for 30 people </u>

5 0
3 years ago
Which Theorem do you use to solve for D?
mixas84 [53]

Answer:

D + 50 - 20 = 70

D = 70

Step-by-step explanation:

5 0
3 years ago
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