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3 years ago

In the following equilateral triangle, each angle has a measure of 10x + 20. X=[? ]

Mathematics

2 answers:

maria [59]3 years ago

8 0

Answer:

4°

Step-by-step explanation:

All the angles in a triangle add together to equal 180°. We know there are three angles of 20° so let's subtract this.

20° × 3 = 60°

180° - 60° = 120°

Now well divide 120° up among the three angles.

120° ÷ 3 = 40°

Now we know the angles are 40° + 20°, but we need to find the value of x, so divide 40° by 10

40° ÷ 10 = 4°

x = 4°

Dafna1 [17]3 years ago

5 0

Answer:4

Step-by-step explanation: Since you know this triangle is an equilateral, you know all angles are the same, so you should automatically multiply 10x+20 by 3. You would then get 30x+60. Since all triangle's total angle sum is 180, you know to set 30x+60 to 180.

At this point this might seem new, but this is where you isolate x. First you move the 60, but subtracting it from both sides. This gets you 30x=120. You divide 30 on both sides and you finally get your answer: 4.

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PLEASE HELP!!<br>1y+14=-4y+9 for y. Round your answer to the nearest tenth.

slega [8]

Answer:

y = -1.0

Step-by-step explanation:

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, add 4y and subtract 14 from both sides:

1y (+4y) + 14 (-14) = -4y (+4y) + 9 (-14)

1y + 4y = 9 - 14

Combine like terms:

5y = -5

Isolate the variable, y. Divide 5 from both sides:

(5y)/5 = (-5)/5

y = -5/5

y = -1

y = -1 is your answer.

6 0

3 years ago

Find tan(30) (its a right triangle)

Travka [436]

Use the 30-60-90 triangle.

Tan is opposite over adjacent.

$\frac{1}{ \sqrt{3} }$
Square roots cannot be on the bottom.

$\frac{1}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} }$
The bottom cancel out the square root bar.

Your answer is:

$\frac{ \sqrt{3} }{3}$
(It's best to memorize the 30-60-90 and the 45-45-90 triangles during trigonometry. It helps a lot.)

Hope this helps!

:)

8 0

3 years ago

Find the value of x, y, and z

kaheart [24]

Answer:

y=40

x=59

z=81

Step-by-step explanation:

therfore..40+59+81=180

5 0

3 years ago

If two distinct positive divisors of 64 are randomly selected, what is the probability that their sum will be less than 32?

scZoUnD [109]

Answer: The required probability is $\dfrac{10}{21}$

Step-by-step explanation:

Since we have given that

Divisors of 64= 1,2,4,8,16,32,64

Sum would be less than 32

Since it has 7 divisors in total.

If we select any two distinct divisors from first five divisors, the sum will always less than 32.

So, the probability that their sum will be less than 32 is given by

$\dfrac{^5C_2}{^7C_2}\\\\=\dfrac{10}{21}$

Hence, the required probability is $\dfrac{10}{21}$

8 0

3 years ago

Owners of a summer camp are buying new cots for their cabins. There are 14 cabins. Each cabin needs 4 cots. Each cot costs $91.

dezoksy [38]

Answer:

so... one cot is $91 and they need 4 for one cabin. so that's 4 times $91 and that's $364.

they have 14 cabins and cots for one cabin are $364. so cots for 14 cabins are 14 times $364. Therefore new cots will cost $5096.

7 0

3 years ago