Answer:
x = 14.375
Step-by-step explanation:
Ok, so we know that a triangle has a total interior degree of 180°. And since we already have a 95° angle, we just need to subtract 95 from 180.
180° - 95° = 85°
Now, we already have indicators that two of the three sides are equal. And we already got the angle of the side that does not have a matching partner. So we just need to divide what we already have by 2.
85° / 2 = 42.5°
Now that we know each side is 42.5 degrees, we just need to grab our given equation and put and equal sign at the end with what we already know is the answer (since we are trying to solve for <em>x</em>).
(4x - 15) = 42.5
Now, let's just get rid of those useless parentheses.
4x - 15 = 42.5
Next, we just need to have the variable on its own side, all by itself. So, in order to do that, we just add 15 to both sides.
4x = 57.5
Now, for our final step, we just need to divide each side by our variables' factor (which is a positive 4). In which we get our final answer of:
x = 14.375
Answer:
Step-by-step explanation:
Arranging of books is an illustration of permutation and combination
There are 24 different possible arrangements she can make
<h3>How to calculate the number of arrangement</h3>
The number of books is given as:
n = 4
Take the factorial of both sides
n! = 4!
Evaluate
n! = 4 * 3 * 2 * 1
n! = 24
Hence, there are 24 different possible arrangements she can make
Read more about permutation and combination at:
brainly.com/question/1216161
Answer:
<em>120°, 120°, 60°, 60°</em>
Step-by-step explanation:
m∠1 = 180° - 60° = 120°
m∠1 = m ∠2 (alternate interior)
m∠3 = 60° (vertical to given angle)
m∠4 = m∠3 (alternate exterior)
