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DanielleElmas [232]
3 years ago
10

Find the values of the pronumerals in this diagram. Write down the reason in each case.

Mathematics
1 answer:
timofeeve [1]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

a and 85 form a straight angle and are supplementary, thus

a + 85 = 180 ( subtract 85 from both sides )

a = 95

b and 85 are vertical angles and are congruent, thus

b = 85

c and 85 are corresponding angles and congruent, thus

c = 85

c and d are vertical angles and congruent, thus

d = 85

In conclusion

a = 95, b = 85, c = 85, d = 85

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Iliana is painting a picture. She has green, red, yellow, purple, orange, and blue paint. She wants her painting to have four di
ivanzaharov [21]

The number of ways for which she could pick four colours if green must be one of them is; 10 ways.

<h3>How many ways can she picks four colours if green must be there?</h3>

It follows from the task that there are 6 colours in total that she could pick from.

Hence, since she needs four colours with green being one of them, it follows that she only has 3 colours to pick from 5.

Hence, the numbers of possible combinations is; 5C3 = 10 ways.

Read more on combinations;

brainly.com/question/2280043

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5 0
1 year ago
A storekeeper increased the price of hats by 5%.
Virty [35]

Answer: c = 1.05p

Step-by-step explanation:

Price of the hat = p

Percentage increase in the price of the hat = 5%

The equation to calculate the increase of the total cost, c, of the hat will be:

c = p + (5% × p)

= p + (5/100 × p)

= p + (0.05 × p)

= p + 0.05p

c = 1.05p

8 0
3 years ago
I need help on working this out. Can anyone help me out?
Tasya [4]
Gosh that looks hard. but i wish you the best of luck on it
8 0
3 years ago
Donald is 38 years younger than Natalie. 5 years ago, Natalie's age was 3 times Donald's age. How old is Donald now?
Svetlanka [38]

9514 1404 393

Answer:

  24

Step-by-step explanation:

Let d represent Donald's age now. Then Natali's age now is d+38. The age relationship 5 years ago was ...

  (d+38) -5 = 3(d -5)

  d +33 = 3d -15 . . . . . eliminate parentheses

  48 = 2d . . . . . . . . . . . add 15-d

  24 = d . . . . . . . . . . . . . divide by 2

Donald is 24 years old now.

_____

<em>Alternate solution</em>

You can also work this by considering that 5 years ago, Natalie's age was more than Donald's age by twice Donald's age then. Hence Donald was 38/2 = 19 at that time. Now, Donald is 19+5 = 24.

4 0
3 years ago
I NEED HELP!!!!!!!! WHAT IS THIS!? I'll mark BRAINLIEST if anyone can answer correctly!
VikaD [51]

So the rule with dividing exponents of the same base is to just subtract the exponents. Using this rule, we solve the equation as such:

\frac{p^{-4}q^5r^6}{p^{-3}q^1r^{-2}}=p^{-4-(-3)}q^{5-1}r^{6-(-2)}=p^{-1}q^4r^8

Next, assuming that you only want positive exponents, to get from a negative exponent to a positive one the rule is x^{-m}=\frac{1}{x^m} . Using this rule, your final answer is going to be \frac{q^4r^8}{p^1}

6 0
4 years ago
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