Answer:
Y=59 Z=93
Explanation:
To find Z, you have to know the line is equal to 180 degrees. You then subtract 180-87=93 that’s how you get Z. Then with that you know that 34+Y is going to equal 93 because they are across from each other. I forgot what that property is called, but yeah. Then you subtract 93-34=59 there you go hope that helps :)
To make this easier to read, I'll be substituting 1/2 for .5; they mean the same thing, but it's less confusing to type it in its decimal form.
7x + .5 + 6x - 9.5
Combine like terms (x's can be added together, and so can reg. numbers)
(7x + 6x) + (.5 - 9.5)
13x - 9
Answer:
x = 11
Step-by-step explanation:
A triangle has three sides, which are its edges. Also, it has three vertices that are the corners of a triangle and where two edges meet.
The circumference is equidistant from the vertices of the triangle:
Equidistant = At equal distances.
The vertices in the picture are: A, B, C
The circumcenter is: P
So, we can apply the rule: PA = PB = PC
PA = 38
PB = 6x - 28
PC = ?
And since the picture labels PA and PB, we set up the equation:
PA = PB = PC
38 = 6x - 28
Add 28 to both sides
38 + 28 = 6x - 28 + 28
66 = 6x
Divide 6 on both sides
66/6 = 6x/6
Simplify
11 = x
Flip the equation
x = 11
The slope of the first equation is -2, you can see it right off.
the slope of the second equation is 2, notice both are in slope-intercept form.
both equations are the equations of a line, so is really just two lines.
because their slope differs, they're not parallel or equivalent, therefore, they lines do meet at some point, and one point only, and therefore, they have 1 solution only.
a system of equations with at least 1 solution, is a consistent system.
a consistent system with exactly 1 solution only, is not just consistent, but also independent.
Answer:
7.0 mi
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the measure of angle C
Remember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
substitute the given values
step 2
Find the measure of a
Applying the law of sines
substitute the given values
solve for a