Answer:
Step-by-step explanation:
15 - x = 3x + 3
15 - x = 3•x + 3
4x = 12
x = 3
Sorry, I change the b and a into x's if that's fine with you.
Because the triangles are similar the ratio of all the sides would be the same. So you need to find the ratio of the common sides and then use that ratio to find the unkown side.
In this picture sides FG = 52, FV would be the same side and is 24.
Dividing 24/52 = 0.461, so the unkown side WV would be 0.444 of it's common side HG.
HG = 39
39 * 0.461= 18.
The answer is C. 18
Answer:
The larger acute angle is equal to 50.8 degrees.
Step-by-step explanation:
Let's solve for both of the acute angles for the purpose of checking our work at the end with angle A being the top angle and angle B being the one on the base of the triangle (that's not the 90 degrees one). Determining whether to use sin/cos/tan comes from SOH-CAH-TOA.
A = cos^-1 (2√6/2√15)
However, you need to move the radical out of the denominator by multiplying √15 to the numerator and denominator. You should come up with (2√90)/30. So,
A = cos^-1 (2√90/30) = 50.768 degrees.
B = sin^-1 (2√90/30) = 39.231 degrees.
Now, we can check the work by adding the 2 angles to 90 and, if it comes to 180, it's right.
cos^-1 (2√90/30) + sin^-1 (2√90/30) + 90 = 180.
If you have any questions on where I got a formula or any step, feel free to ask in the comments!
Answer:
Match the vocabulary words to the proper definition.
1. a decimal that ends
2
repeating decimal
2. a decimal whose digits to the right of the decimal point repeat indefinitely
1
terminating decimal
3. a set of three dots at the end of a number used to indicate that the number will infinitely continue in the same pattern
4
irrational number
4. a horizontal bar used in mathematical notation; in fractions, it is the bar that separates the numerator from the denominator; in repeating decimals, it indicates a group of repeating numbers
6
vinculum
5. a number that can be written as a ratio in fraction form
3
ellipsis
6. a number that, when in decimal form, does not terminate or repeat
5
rational number
Step-by-step explanation:
Answer:
Step-by-step explanation:
The solution to a system of linear equations is the ordered pair (or pairs) that satisfies all ... Solve the following system of equations by substitution. ... For example, consider the system of equations below: 3x + 2y = 6 x − y = 8 ... 12x + 18y = 39
