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3 years ago

Lines m and n are parallel lines cut by a transversal l.

Mathematics

1 answer:

lord [1]3 years ago

4 0

The second option. Angles 2 and 6 are corresponding angles, and 6 and 7 make a linear pair, so 2 and 7 are supplementary.

The first option doesn’t even mention angle 7, the third option doesn’t mention angle 2, and the last option doesn’t mention 7 either.

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♡Easy Brainliest♡ Which statement BEST explains why the sine of an acute angle is equal to the cosine of the angle's complement?

Aleonysh [2.5K]

Answer:

Answer is A

Step-by-step explanation:

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3 0

3 years ago

Solve the system: 2/x - 3/y =-5; 4/x + 6\y =14

sertanlavr [38]

The solution is $x = 2 \text{ and } y = \frac{1}{2}$

Solution:

Let us assume,

$a = \frac{1}{x}\\\\b = \frac{1}{y}$

Given system of equations are:

$\frac{2}{x} - \frac{3}{y} = -5$

$\frac{4}{x} + \frac{6}{y} = 14$

Rewrite the equation using "a" and "b"

2a - 3b = -5 ------------ eqn 1

4a + 6b = 14 -------------- eqn 2

Let us solve eqn 1 and eqn 2

Multiply eqn 1 by 2

2(2a - 3b = -5)

4a - 6b = -10 ------------- eqn 3

Add eqn 2 and eqn 3

4a + 6b = 14

4a - 6b = -10

( - ) --------------------

8a = 4

$a = \frac{4}{8}\\\\a = \frac{1}{2}$

Substitute a = 1/2 in eqn 1

$2(\frac{1}{2}) -3b = -5\\\\1 - 3b = -5\\\\3b = 6\\\\b = 2$

Now let us go back to our assumed values

Substitute a = 1/2 in assumed values

$a = \frac{1}{x}\\\\\frac{1}{2} = \frac{1}{x}\\\\x = 2$

Substitute b = 2 in assumed value

$b = \frac{1}{y}\\\\2 = \frac{1}{y}\\\\y = \frac{1}{2}$

Thus the solution is $x = 2 \text{ and } y = \frac{1}{2}$

3 0

3 years ago

What’s the exact value of sec 6pi

Komok [63]

Step-by-step explanation:

$\because \sec \: \pi = 1 \\ \\ \therefore \: \sec \: 6\pi = 1 \\$

6 0

3 years ago

PLEASE HELP!! THIS IS MY LAST QUESTION!! WILL GIVE BRAIN!!

Brums [2.3K]

Answer:

its answer 1.

Step-by-step explanation:

please mark me brainliest thank you for your time and have a nice rest of your day :)

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3 years ago

In the town of Destin,2/3 of the students in middle school participate in organized sports after school. If 3/5 of them play soc

Rainbow [258]

Answer:

The fraction of the students play soccer = $\frac{2}{5}$

Step-by-step explanation:

Given - In the town of Destin, 2/3 of the students in middle school participate in organized sports after school.

To find - If 3/5 of them play soccer, what fraction of the students play soccer? Enter your answer in simplest form

Solution -

Let us assume that,

Total number of students in the middle school = 3x

Now,

Given that

2/3 of the students in middle school participate in organized sports after school.

So,

Total students participated in organized sports = (2/3)×3x

= 2x

⇒Total students participated in organized sports = 2x

Now,

Given that,

3/5 of them play soccer

So,

Total players who play soccer = (3/5)×2x

= 6x/5

⇒Total players who play soccer = 6x/5

Now,

The fraction of total students play soccer = (6x/5) ÷ (3x)

= $\frac{6x}{5}*\frac{1}{3x}$

= $\frac{2}{5}$

∴ we get

The fraction of the students play soccer = $\frac{2}{5}$

8 0

3 years ago