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Alex787 [66]
3 years ago
13

The Middle School girls’ soccer team won 75% of its games this season. If the team won 15 games, how many games did it play?

Mathematics
1 answer:
Monica [59]3 years ago
3 0
The soccer team won 20 games
You might be interested in
Plz help i need answer ASAP
Reika [66]

Answer:

y = 2x + 2

Step-by-step explanation:

<h3><u>Reading</u><u> </u><u>the</u><u> </u><u>graph</u><u>!</u></h3>
  • The line shown in the figure cuts the y-axis 2 units above the origin, I.e.,

the point (0, 2)

  • The line also meets the x-axis two units before the origin, I.e.,

the point (-1, 0)

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

<h3><u>Intercepts</u><u>:</u></h3>

<em>When a line </em><em>meets</em><em> </em><em>both</em><em> </em><em>the</em><em> </em><em>axes</em><em> </em><em>(</em><em>x-axis</em><em> </em><em>and</em><em> </em><em>y-axis</em><em>)</em><em>,</em><em> </em><em>it</em><em> </em><em>forms</em><em> </em>intercepts.

There are two types of intercepts:

  • x-intercept (<em>when</em><em> </em><em>the</em><em> </em><em>line</em><em> </em><em>meets</em><em> </em><em>the</em><em> </em><em>x-axis</em><em>)</em>
  • y-intercept (<em>when</em><em> </em><em>the</em><em> </em><em>line</em><em> </em><em>meets</em><em> </em><em>the</em><em> </em><em>y-axis</em><em>)</em>

Each of their length is equal to their distance from the Origin(0, 0)

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

<h3><u>Equation of a line (intercept form):</u></h3>

If the x-intercept is denoted by "a" and y-intercept by "b", the equation if such a line is given by:

\boxed{ \mathsf{ \frac{x}{a}  +  \frac{y}{b} = 1 }}

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

<h3><u>Equation</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>line</u><u> </u><u>in</u><u> </u><u>question</u><u>:</u></h3>
  • x-intercept (a) = -1
  • y-intercept (b) = 2

\implies \mathsf{ \frac{x}{( - 1)} +  \frac{y}{2}  = 1 }

<em>The</em><em> </em><em>sign</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>denominator</em><em> </em><em>is</em><em> </em><em>taken</em><em> </em><em>by</em><em> </em><em>the</em><em> </em><em>numerator</em><em>:</em>

\implies \mathsf{  - \frac{x}{1} +  \frac{y}{2}  = 1 }

<em>Taking</em><em> </em><em>LCM</em><em>:</em>

\implies \mathsf{  \frac{ - 2x + y}{ 2}   = 1 }

<em>Cross</em><em> </em><em>multiplying</em><em>:</em>

\implies \mathsf{  -  2x + y = 2 }

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

<em>Isolating</em><em> </em><em>y</em><em>:</em>

<em>\implies \mathsf{  \underline{  y = 2 + 2x }}</em>

That's the equation of the given line!

6 0
3 years ago
This cylinder is 8 inches tall and has a volume of 200 pi in^3. Find the area of the cross section
UNO [17]
<h3>This cylinder is 8 inches tall and has a volume of 200 π in³. Find the area of the cross section.</h3>

Answer: cross section = 25π in²

Step-by-step explanation:

Cylinder volume is the product of the cross section by height.

Then cross section = cylinder volume/height = 200 π in³/8in = 25π in²

Answer: 25π in²

\textit{\textbf{Spymore}}

7 0
3 years ago
Read 2 more answers
given the following information, determine which lines, if any, are parallel. state the converse that justifies your answer.
frozen [14]

From the information in the diagram found in a similar question online (please see attached drawing), the parallel lines are;

  1. w||z
  2. x||y
  3. x||y
  4. w||z
  5. w||z
  6. x||y
  7. x||y
  8. w||z
  9. x||y
  10. w||z

<h3>What are the relationships between angles formed by parallel lines?</h3>

Parallel lines are lines that do not meet, when extended indefinitely.

The possible information given as obtained from a similar question posted online are;

1. ‹1 is congruent to ‹5

2. ‹7 is congruent to ‹9

3. m‹8 + m‹9 = 180°

4. ‹16 is congruent to ‹14

5. m‹1 + m‹4 = 180°

6. ‹3 is congruent to ‹13

7. ‹2 is congruent to ‹10

8. ‹11 is congruent to ‹15

9. m‹4 + m‹13 = 180°

10. ‹8 is congruent to ‹6

1. Given that ‹1 is congruent to ‹5 where ‹1 and ‹5 are alternate exterior angles, we have that line <em>w </em>is parallel to line <em>z </em>

  • w||z

Theorem (converse); Alternate exterior angles formed by two parallel lines having a common transversal are congruent.

2. ‹7 and ‹9 are alternate interior angles.

Given that ‹7 is congruent to ‹9, therefore;

Line <em>x</em> is parallel to line <em>y</em>

  • x||y

Theorem (converse); Alternate interior angles formed by two parallel lines having a common transversal are congruent.

3. Given that m‹8 + m‹9 = 180°, therefore;

‹8 and ‹9 are supplementary angles, formed between lines <em>x </em>and <em>y</em>.

‹8 and ‹9 are also consecutive interior angles.

Theorem (converse); Consecutive interior angles formed between parallel lines are supplementary.

Therefore;

  • x||y

4. ‹16 and ‹14 are corresponding angles formed by lines <em>w </em>and <em>z</em>.

Theorem (converse); Corresponding angles formed by parallel lines are congruent.

Given ‹16 congruent to ‹14, we have;

  • w||z

5. m‹1 and m‹4 are consecutive exterior angles formed by lines <em>w </em>and <em>z</em>.

Theorem (converse); Consecutive exterior angles formed by two parallel lines are supplementary.

Given that m‹1 + m‹4 = 180°, we have;

  • w||z

6. ‹3 and ‹13 are alternate exterior angles formed by lines <em>x </em>and <em>y</em>.

Theorem (converse); Alternate exterior angles formed by parallel lines are congruent.

Given that ‹3 congruent to ‹13, we have;

  • x||y

7. ‹2 and ‹10 are corresponding angles formed by lines <em>x </em>and <em>y</em>

Given that ‹2 congruent to ‹10, therefore;

  • x||y

8. ‹11 and ‹15 are alternate interior angles formed by lines <em>w </em>and <em>z</em>.

‹11 is congruent to ‹15, therefore;

  • w||z

9. ‹4 and ‹13 are consecutive exterior angles formed by lines <em>x </em>and <em>y</em>

m‹4 + m‹13 = 180°, therefore;

  • x||y

10. ‹8 and ‹6 are corresponding angles formed by lines <em>w </em>and <em>z</em>.

‹8 is congruent to ‹6, therefore;

  • w||z

Learn more about angles formed by parallel lines that have a common transversal here:

brainly.com/question/24607467

#SPJ1

3 0
1 year ago
Which statement is true​
Reil [10]

Answer:

c

Step-by-step explanation:

im a math genius

6 0
3 years ago
Can someone help me with number 3 please and I thank you so much
kiruha [24]

Answer:

0.04 because they all equal to 4/10 except for that one.

Good luck with your schoolwork/homework!

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

Apologies in advance for wrong answers or bad explanation.

7 0
3 years ago
Read 2 more answers
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