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Furkat [3]
3 years ago
10

Please help me 10 points

Mathematics
1 answer:
Mademuasel [1]3 years ago
7 0

3. definition of supplementary angles

5. defintion of congruency

6. substitution <em>(refer to statements 3 and 5)</em>

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Roslan had a total of $50 in 10-cent coins,20-cent coins and 50-cent coins. The value of his 10-cent coins was 30% of the total
Len [333]

Answer:

$21

Step-by-step explanation:

Provided total value = $50

$50 = 5,000 cents.

We are provided,

10 cent coins value = 30%  of total value

= 0.3 \times 5,000 cents = 1,500 cents

Value of 20 cents coin = 28% of total value

= 0.28 \times 5,000 cents = 1,400 cents

Therefore, remaining value of cents = Total value of 50 cents coins

5,000 cents - value of 10-cent coins - value of 20-cent coins = total value of 50 cents coins

5,000 - 1,500 - 1,400 = 2,100 cents = $21

Which means number of 50 cents coin = \frac{2,100}{50} = 42\ coins

Alternatively,

To calculate value of 50 cent coins

Total value = 100%

Value in 10-cent coins + 20-cent coins = 30% + 28% = 58%

Value in 50-cent coins = 100 - 58 = 42%

= $50 \times 42% = $21

4 0
3 years ago
Question 1 2 pts Logic Puzzle: A certain clock runs fast; it indicates that 1 hour has passed when actually only 56 minutes have
Liono4ka [1.6K]

Using proportions, it is found that the correct time when it reads 10:30pm is of 9:40 pm.

<h3>What is a proportion?</h3>

A proportion is a fraction of total amount, and the measures are related using a rule of three.

In this problem, when 56 minutes have passed, the clock indicates that 60 minutes have passed. Hence, what is the time passed when the clock indicates that 12 hours and 30 minutes, that is, 60 x 12 + 30 = 750 minutes have passed?

Hence, the <em>rule of three</em> is:

56 minutes - 60 minutes

x minutes - 750 minutes

Applying cross multiplication:

60x = 56 \times 750

x = \frac{56 \times 750}{60}

x = 700

700 minutes is 660/60 = 11 hours + 40 minutes after 10:00 am, hence the correct time is of 9:40 pm.

You can learn more about proportions at brainly.com/question/24372153

7 0
2 years ago
2 mi. yd. I'm confused​
dybincka [34]

Answer && Step-by-step explanation:

Obtain yards by multiplying miles by 1760

== 3520 yards

6 0
3 years ago
(5x ² +1) (2x + 3) - 2 x (5²-3)
kotegsom [21]

Answer:

y = 3 suh slid este ob cine este a, b și g au nevoie de acel kinfo pentru a termina

Step-by-step explanation:

6 0
3 years ago
Find the measure of
Butoxors [25]

Step-by-step explanation:

angles a,f,g form a triangle

sum of angles in ∆ = 33 + 112+ a = 180

145 + a = 180

a = 35°

7 0
1 year ago
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