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3 years ago

An equiangular triangle has one angle of measure 2x+8. What is x?

Mathematics

2 answers:

Elis [28]3 years ago

5 0

Answer: x=10

Step-by-step explanation:

lina2011 [118]3 years ago

3 0

Answer:

$x=26\\$

Step-by-step explanation:

The sum of the interior angles of a triangle add up to $180^{\circ}$ . Therefore, an equiangular triangle will have each of its angles equal to $60^{\circ}}$ . We can then set up the following equation:

$2x+8=60, \\2x=52, \\x=\fbox{$26$}$ .

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What is the answer to this in cm

jasenka [17]

The hardest part is finding the length of the curve at the top. To find arc length, multiply the circumference by the arc angle divided by full angle (360°) in a circle. Or:
$s = (2\pi r)( \frac{x}{360})$
x, the arc angle in a semicircle, is 180°.
r, the radius is 7/2 = 3.5.
Now just plug the numbers in and solve for arc length, s.

s = 2π(3.5)(1/2) ≈ 11.00

Now just add up all the sides. 11cm + 10cm + 10cm + 7cm = 38 cm.

5 0

3 years ago

A 25% vinegar solution is combined with triple the amount of a 45% vinegar solution and a 5% vinegar solution resulting in 20 mi

Murrr4er [49]

Complete Question: A 25% vinegar solution is combined with triple the amount of a 45% vinegar solution and a 5% vinegar solution resulting in 20 milliliters of a 30% vinegar solution.

Write an equation that models this situation and explain what each part represents in the situation. Then solve the equation.

Step-by-step explanation:

let the volume of the 45% vinegar solution be x litres ,

the volume of the 25% vinegar solution be 3x

and the volume of the 5% vinegar solution be y

summation of all gives,

x+3x+y = 20

4x + y = 20

subtracting 4x from both sides to make y the subject of the equation, we have;

y = 20 - 4x

To the concentration:

substituting for the value of x and y into equation x + 3x + y = 20, we have,

.45x + .25(3x) + .05(20-4x) = .3(20)

multiplying through by 100 to make whole figures we have;

45x + 25(3x) + 5(20-4x) = 600

45x + 75x + 100 - 20x = 600

120x - 20x + 100 = 600

100x + 100 = 600

subtracting 100 from both sides, we have;

100x = 600 - 100

100x = 500

dividing both sides by 100,

x = 5.

7 0

3 years ago

-4/5t+2/5=2/3 what is the value of t?

zvonat [6]

Answer:

answer would be -2/5

Step-by-step explanation:

i think thats what you mean i hope this helps

7 0

4 years ago

Read 2 more answers

Simplify 16x^3 y^2 --------------- 36xy^2 z^3

11111nata11111 [884]

I'm guessing that is division?

4x^2/9z^3

5 0

3 years ago

A single die is rolled. Find the probability of rolling an oddnumber or a number less than 6.

mina [271]

Given

A single die is rolled.

To find the probability of rolling an odd number or a number less than 6.

Explanation:

It is given that,

A single die is rolled.

Then, the sample space is,

$\begin{gathered} S=\lbrace1,2,3,4,5,6\rbrace \\ n(S)=6 \end{gathered}$

Let A be the event of getting an odd number.

Then,

$\begin{gathered} A=\lbrace1,3,5\rbrace \\ n(A)=3 \end{gathered}$

Let B be the event of getting a number less than 6.

Then,

$\begin{gathered} B=\lbrace1,2,3,4,5\rbrace \\ n(B)=5 \end{gathered}$

Also,

$\begin{gathered} A\cap B=\lbrace1,3,5\rbrace \\ n(A\cap B)=3 \end{gathered}$

Therefore,

$\begin{gathered} P(A\cup B)=P(A)+P(B)-P(A\cap B) \\ =\frac{n(A)}{n(S)}+\frac{n(B)}{n(S)}-\frac{n(A\cap B)}{n(S)} \\ =\frac{3}{6}+\frac{5}{6}-\frac{3}{6} \\ =\frac{3+5-3}{6} \\ =\frac{5}{6} \end{gathered}$

Hence, the answer is 5/6.

5 0

1 year ago

Read 2 more answers