Answer: 
Step-by-step explanation:
By definition, an Isosceles triangle has two equal sides and its opposite angles are congruent.
Observe the figure attached, where the isosceles triangle is divided into two equal right triangles.
So, in this case you need to use the following Trigonometric Identity:
In this case, you can identify that:
Substituting values, and solving for "x", you get:
Therefore, the length of BC rounded to nearest tenth, is:
Answer:
B, E
Step-by-step explanation:
The equation of that line in slope intercept form is y = -2/5x + 2
The slope of a line parallel to that line will be the same as its slope, so -2/5.
To find the y-intercept of a line that passes through the point (-5, 1) with that slope, you will have to plug in the x and y values of that point into what you know of the equation of the line.
y = -2/5x + b
1 = -2/5(-5) + b
1 = 2 + b
-1 = b
From this, you can construct an equation.
y = -2/5x - 1
However, this is not an answer choice.
It cannot be A because this line does not have a slope of -1.
2x + 5y = 15
5y = -2x - 5
y = -2/5x - 1
It can be B because this line is the same as the equation we came up with.
It cannot be C because this line does not have a slope of -1 or a y-intercept of -3.
2x + 5y = -15
5y = -2x - 15
y = -2/5x - 3
It cannot be D because this line does not have a y-intercept of -3.
y - 1 = -2/5(x + 5)
y - 1 = -2/5x - 2
y = -2/5x - 1
It can be E because this equation matches the one we came up with.
Divide 7 and 12 together
7/12 = 0.583
0.583 is your answer (simplefied)
hope this helps
Answer:
x = 2
Step-by-step explanation:
Given
2.5(6x-4) = 10 + 4 (1.5+0.5x)
First of all we will have to solve the parenthesis
(2.5)(6x)-(2.5)(4) = 10 + (4)(1.5)+(4)(0.5x)
15x-10 = 10+6+2x
We have to isolate x so that we can find its value
15x-10 = 16+2x
15x = 16+2x+10
15x-2x = 26
13x = 26
13x/13 = 26/13
x = 2 ..
The answer would be letter C
