Answer:
x = 70; the labeled angles are 110º and 70º.
Step-by-step explanation:
The full degrees will add up to 180º. There are 2x and +40.
Equation: 
Solve: 
Since x=70, 70+40 will equal to 110.
Therefore, "x = 70; the labeled angles are 110º and 70º." is correct.
Sin of an angle=opposite side/hypotenuese
cos of an angle=adjacent side/ hypotenuese
tan of an angle=opposite side / adjacent side
11. sine M=7/25 12. do the same but using the number of this triangle
cos M=24/25
tan M=7/24
14. They give you the angle 35 degrees. So that will be what you start with. Look at the lengths of the sides given. Where are they located in respect to the angle 35. 20 is the hypoteneuse, and x is opposite of 35. So the equation that uses hypoteneuse and opposite is sin.
sin 35=35/x, punch in sin 35 into the calculator. then you would get .57=35/x. The cross multiply .57x=35=61.40.
Now you can repeat for the rest of the problems. I hope this is helpful.
Representing 3 and one tenth as decimal by 3.1
<u>Step-by-step explanation:</u>
Here 3 is the whole number.
1 tenth is nothing but 
.
= 0.1
When we write numerals with tenths using the decimals we can use a decimal point also the tenths positioned to the right of the decimal point. The tenth place is denoted as immediately right to the decimal point.
So it is represented as 3.1.
Well when u multiply 1 times something u get the same #
The trick here is to relate the NUMBER of coins to each other in one equation, and then the VALUE of the coins in another equation. If I have 1 dime, that 1 dime is worth 10 cents. The number of dimes is obviously not equal to the value. Let's call quarters q and dimes d. The number of these 2 types of coins added together is 80 coins. So q + d = 80. Now, we know that quarters are worth .25 and dimes are worth .1, so we express a quarter's worth as .25q; we express a dime's worth as .1d. The value of the coins we have is 14.90. So that equation is .25q + .1d = 14.90. Let's solve the first equation for q. q = 80 - d. We can now use that as a substitution for q into the second equation, giving us an equation with only 1 unknown, d. .25(80-d) + .1d = 14.90. Distributing through the parenthesis we have 20 - .25d + .1d = 14.90. Combining like terms gives us - .15d = - 5.1. We will divide both sides by - .15 to get that the number of dimes is 34. If we had a total of 80 coins, then the number of quarters is 80 - 34, which is 46. 46 quarters and 34 dimes
