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3 years ago

Identify the side lengths of the triangle.

Mathematics

1 answer:

vfiekz [6]3 years ago

3 0

<h3><u>The correct answer is A, 50, 50, 50.</u></h3>

This is an equilateral triangle, meaning all sides are the same thing.

We can tell by the dash mark on each side, which identifies each side as being the same length.

Because of this, we know all three will be the same length.

4x + 2 = 5x - 10

Subtract 4x from both sides.

2 = x - 10

Add 10 to both sides.

12 = x

The value of x is 12. We can plug this value in to each expression to find each side length.

4(12) + 2

48 + 2 = 50

5(12) - 10

60 - 10 = 50

3(12) + 14

36 + 14 = 50

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A college calculates that 12 out of 16 students get a job within the first month of graduation. If 120 students are graduating w

SashulF [63]

Answer:

90 students

Step-by-step explanation:

If 12/16 of the students will get a job within the first month, its the same as saying 3/4 will.

So, we can take 3/4 of 120, which is 90 students.

6 0

3 years ago

If cos θ= 12 /13 and θ is located in the Quadrant I, find sin (2 θ ), cos(2 θ ), tan(2 θ )

PIT_PIT [208]

Answer:

$\cos 2 \theta = \dfrac{119}{169}\\\\\sin2 \theta = \dfrac{120}{169}\\\\\tan 2\theta = \dfrac{120}{119}$

Step-by-step explanation:

$\text{Given that,} \cos \theta = \dfrac{12}{13}\\ \\\text{Now,}\\\\\cos 2 \theta = 2 \cos^2 \theta - 1\\\\\\~~~~~~~~~=2 \left( \dfrac{12}{13} \right)^2 - 1\\\\\\~~~~~~~~~=2 \left( \dfrac{144}{169} \right) - 1\\\\\\~~~~~~~~~=\dfrac{288}{169}-1\\\\\\~~~~~~~~~=\dfrac{119}{169}$

$\sin 2\theta = 2 \sin \theta \cos \theta\\\\\\~~~~~~~~=2\sqrt{1 -\cos^2 \theta} \cdot \cos \theta~~~~~~~~~~~;[\text{In quadrant I, all ratios are positive.}]\\\\\\~~~~~~~~=2 \sqrt{1- \left( \dfrac{12}{13} \right)^2} \cdot \left(\dfrac{12}{13} \right)\\\\\\~~~~~~~~=\left( \dfrac{24}{13} \right) \sqrt{1- \dfrac{144}{169}}\\\\\\~~~~~~~~=\dfrac{24}{13}\sqrt{\dfrac{25}{169}}\\\\\\~~~~~~~=\dfrac{24}{13} \times \dfrac{5}{13}\\\\\\~~~~~~=\dfrac{120}{169}$

$\tan 2 \theta = \dfrac{\sin 2\theta}{\cos 2\theta}\\\\\\~~~~~~~~~=\dfrac{\tfrac{120}{169}}{ \tfrac{119}{169}}\\\\\\~~~~~~~~~=\dfrac{120}{169} \times \dfrac{169}{119}\\\\\\~~~~~~~~~=\dfrac{120}{119}$

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2 years ago

Question 10

mylen [45]

-4，2

Step-by-step explanation:

find the average of the x coordinates and y coordinates

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3 years ago

Leah has sold magazine subscriptions worth $330 for a school fundraiser. If she reaches a total of $500, she wins a gift certifi

insens350 [35]

You can solve by subtracting: 500-330

but I like to use mental math and think this way:
she has 330
70 more will give her 400
and 100 more will give her 500
100 + 70 is 170.

7 0

4 years ago

I need help<br><br><br><br> Thx guys

Evgesh-ka [11]

Plugging in the numbers 7x - 2y = 39 fitted and made sense

8 0

3 years ago

Read 2 more answers