Hello Bubbleshi !
The first step you need to do is get everything in like terms.
- 1/6 and - 7 /4
Look at the denominator (number on the bottom)
6 and 4 go into 12, so lets check that out.
-1/6 , how can we get 12 from the denominator? Multiply it by 2.
So you multiply both the numerator (number on the top) and the denominator.
-1/6 becomes -2/12.
With -7/4, you want to get the 4 as a 12 (like terms!) so once again you multiply it by 3, and multiply the numerator as well.
-7/4 becomes -21/12.
-2/12 + (-21/12) is your final form of the problem.
You add -2 and -21 in the numerator, which is -23.
So its -23/12 which is your final answer.
Let me know if you need any more help!
Answer:
35
Step-by-step explanation:
Since all the angles are the same in this triangle, all the sides should be the same too.
Hence, 3x - 5 = 4x - 30
5 + -1x = -30
-1x = -35
x = 35
Hope this helped!
Explanation:
The Law of Sines is your friend, as is the Pythagorean theorem.
Label the unmarked slanted segments "a" and "b" with "b" being the hypotenuse of the right triangle, and "a" being the common segment between the 45° and 60° angles.
Then we have from the Pythagorean theorem ...
b² = 4² +(2√2)² = 24
b = √24
From the Law of Sines, we know that ...
b/sin(60°) = a/sin(θ)
y/sin(45°) = a/sin(φ)
Solving the first of these equations for "a" and the second for "y", we get ...
a = b·sin(θ)/sin(60°)
and ...
y = a·sin(45°)/sin(φ)
Substituting for "a" into the second equation, we get ...
y = b·sin(θ)/sin(60°)·sin(45°)/sin(φ) = (b·sin(45°)/sin(60°))·sin(θ)/sin(φ)
So, we need to find the value of the coefficient ...
b·sin(45°)/sin(60°) = (√24·(√2)/2)/((√3)/2)
= √(24·2/3) = √16 = 4
and that completes the development:
y = 4·sin(θ)/sin(φ)
Triangle. !!!!!!!!!!!!!!!
Answer:
x= −1/2, x=52/5
Step-by-step explanation:
2(x+7)=13
(2)(x)+(2)(7)=13(Distribute)
2x+14−14=13−14
2x=−1
2x/<u><em>2</em></u>=−1/<u>2</u>
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
5(x−7)=17
(5)(x)+(5)(−7)=17(Distribute)
5x+−35=17
5x−35=17
5x−35+35=17+35
5x=52
5x/<u><em>5</em></u>=52/<u>5</u>