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PilotLPTM [1.2K]
4 years ago
13

Geometry - Will give 5 stars + Thanks!

Mathematics
1 answer:
Fynjy0 [20]4 years ago
5 0

Answer:

<h2>x = 3 and y = 4</h2>

Step-by-step explanation:

We know:

The diagonals in a parallelogram divide by halves.

Therefore KG = UG and DG = CG.

We have

KG = 5y - 8, UG = 3y, DG = 4x - 7, CG = x + 2

Substitute:

5y - 8 = 3y          <em>add 8 to both sides</em>

5y = 3y + 8      <em>subtract 3y from both sides</em>

2y = 8      <em>divide both sides by 2</em>

y = 4

---------------

4x - 7 = x + 2           <em>add 7 to both sides</em>

4x = x + 9            <em>subtract x from both sides</em>

3x = 9     <em>divide both sides by 3</em>

x = 3

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a school netball team won ten matches , lost four and drew 1/8 of the total played . how many matches were drawn and what fracti
defon

The school net ball team drew 2 matches. The team won \frac{5}{8} of total matches played

<h3><u>Solution:</u></h3>

Given, A school netball team won ten matches, lost four and drew \frac{1}{8} of the total played

Let the total number of matches played be "n"

Number of matches drawn = \frac{1}{8} of n

<em>Total matches played = number of won matches + number of lost matches + number of drawn matches</em>

\begin{array}{l}{n=10+4+\frac{1}{8} n} \\\\ {n-\frac{1}{8} n=10+4}\end{array}

Taking "n" as common from left hand side,

\begin{array}{l}{\mathrm{n}\left(1-\frac{1}{8}\right)=14} \\\\ {\mathrm{n} \times \frac{8-1}{8} \quad 14} \\\\ {\mathrm{n} \times \frac{7}{8}=14} \\\\ {\mathrm{n}=16}\end{array}

So, they played 16 matches in total

Number of matches drawn = \frac{1}{8} of n = \frac{1}{8} \times 16 = 2\text { Fraction of won matches }=\frac{\text { number of matches won }}{\text { number of matches played }}=\frac{10}{16}=\frac{5}{8}

\text { Hence, the team drew } 2 \text { matches and won } \frac{5}{8} \text { of total played matches. }

3 0
3 years ago
Wolfrich lived in portugal and brazil for a total period of 14 months in order to learn portuguese. He learned an average of 130
maksim [4K]

Answer: he lived 9 months in Portugal and 5 months in Brazil.

Step-by-step explanation:

Let x represent the number of months he lived in Portugal.

Let y represent the number of months he lived in Brazil.

Wolfrich lived in Portugal and Brazil for a total period of 14 months in order to learn Portuguese. This means that

x + y = 14

He learned an average of 130 new words per month when he lived in Portugal and an average of 150 new words per month when he lived in Brazil. In total, he learned 1920 new words. This means that

130x + 150y = 1920- - - - - - - - - - - 1

Substituting x = 14 - y into equation 1, it becomes

130(14 - y) + 150y = 1920

1820 - 130y + 150y = 1920

- 130y + 150y = 1920 - 1820

20y = 100

y = 100/20

y = 5

x = 14 - y = 14 - 5

x = 9

8 0
4 years ago
I need help :( the question is hard can you explain and show your work ty
Anika [276]
20%
step by step explanation
3 0
3 years ago
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What is element b31 for the question help
Black_prince [1.1K]

Answer:

the answer is A =3 ... this is the correct answer

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Answer:

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