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klio [65]
3 years ago
15

£140 is divided between Angad, Nick & June so that Angad gets twice as much as Nick, and Nick gets three times as much as Ju

ne. How much does Angad get?
Mathematics
1 answer:
Vladimir79 [104]3 years ago
3 0

Answer:

  £84

Step-by-step explanation:

The given ratios are ...

  A : N = 2 : 1

  N : J = 3 : 1

Putting these together, we have ...

  A : N : J = 6 : 3 : 1

There are a total of 6+3+1 = 10 ratio units, so each is worth £140/10 = £14.

Angad's share is 6×£14 = £84.

_____

<em>Check</em>

Nick gets £42, and June gets £14. Together, they share £84 +42 +14 = £140.

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In a triangle find the Remote exterior angle given the remote interior angles are 27 and 53
Varvara68 [4.7K]

Answer:We can use equations to represent the measures of the angles described above. One equation might tell us the sum of the angles of the triangle. For example,

x + y + z = 180

We know this is true, because the sum of the angles inside a triangle is always 180 degrees. What is w? We don't know yet. But, we may observe that the measure of angle w plus the measure of angle z = 180 degrees, because they are a pair of supplementary angles. Notice how Z and W together make a straight line? That's 180 degrees. So, we can make a new equation:

w + z = 180

Then, if we combine the two equations above, we can determine that the measure of angle w = x + y. Here's how to do that:

x + y + z = 180 (this is the first equation)

w + z = 180 (this is the second equation)

Now, rewrite the second equation as z = 180 - w and substitute that for z in the first equation:

x + y + (180 - w) = 180

x + y - w = 0

x + y = w

Interesting. This tells us that the measure of the exterior angle equals the total of the other two interior angles. In fact, there is a theorem called the Exterior Angle Theorem which further explores this relationship:

Exterior Angle Theorem

The measure of an exterior angle (our w) of a triangle equals to the sum of the measures of the two remote interior angles (our x and y) of the triangle.

Let's try two example problems.

Example A:

If the measure of the exterior angle is (3x - 10) degrees, and the measure of the two remote interior angles are 25 degrees and (x + 15) degrees, find x.

First example of finding an exterior angle

To solve, we use the fact that W = X + Y. Note that here I'm referring to the angles W, X, and Y as shown in the first image of this lesson. Their names are not important. What is important is that an exterior angle equals the sum of the remote interior angles.

6 0
3 years ago
I need your help please​
Bess [88]

56m^2

see the steps from the pic

4 0
3 years ago
3-2i/5+i<br><img src="https://tex.z-dn.net/?f=3%20-%202i%20%5Cdiv%205%20%20%2B%20i%20%20" id="TexFormula1" title="3 - 2i \div 5
hammer [34]

3-2i/5+i

\frac{3*5+(-2)*1)+(-2*5-3*1)i}{5^2+1^2}

\frac{13-13i}{26}=\frac{1-i}{2}

=\frac{1}{2}-\frac{1}{2}i

Hope this helps!

Thank you for posting your question at here on Brainly.

-Charlie

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PLSSSS HELP ME I WILL GIVE BRAINLIEST, A HEART, AND 5 STARS PLSSS HELP ME THIS IS DUE BY THE END OF TODAY
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Answer:

who wanna talk im bored

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Maddie is making pineapple punch for her birthday party. The recipe says you need 3 cups of pineapple juice for every 4 cups of
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She will need 12 cups of pineapple juice.
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