Answer:
two and one fifth
Step-by-step explanation:
Set up a system of equations:
B=2+3C
B+C=90
The variable B is already solved, so plug into bottom equation:
2+3C+C=90
2+4C=90
4C=88
C=22
Plug C back in:
B+22=90
B=68
So B is 68 degrees and C is 22 degrees
Hope this helped!
y-intercept: Let x = 0 and solve for y:
(x-1)^2 + (y-2)^2 = 10 => (-1)^2 + y^2 - 4y + 4) = 10
=> 1 + y^2 - 4y + 4 = 10, or y^2 - 4y -5 = 0
The solutions of this quadratic are y = 5 and y = -1.
Thus, the y-intercepts are (0, 5) and (0, -1).
Now find the x-intercepts: Let y = 0 and solve the resulting equation for x:
(x-1)^2 = 10 - (-2)^2, or (x-1)^2 = 10 - 4 = 6.
Taking the sqrt of both sides, x - 1 = plus or minus sqrt(6), or:
x = 1 +√6 and x = 1 - √6, so that the x-intercepts
are (1+√6, 0) and (1-√6, 0).
Answer:
x = 48°
Step-by-step explanation:
In the given triangle XYZ,
Sides XY and XZ are congruent.
Therefore, both the sides will be equal in measure.
By the definition of isosceles triangle,
"Opposite angles of the equal sides are equal in measure"
m∠Y = m∠Z = x°
m∠X = 84° [Given]
By the triangle sum theorem,
m∠X + m∠Y + m∠Z = 180°
84° + x° + x° = 180°
2x = 180 - 84
x = 48°
Therefore, measure of x = 48° will be the answer.
Step-by-step explanation:
m∠1 = 180-100 = 80
m∠2 = 180-150 = 30
m∠3 = 180-(80+30) = 180 - 110 = 70
using the law of sine :
AC/sin(m∠2) = 5/sin(m∠3) ⇒ AC = sin(m∠2)*(5/sin(m∠3)) = sin(30)×(5÷sin(70))
=2.66044443119
CB/sin(m∠1) = 5/sin(m∠3) ⇒ CB = sin(m∠1)*(5/sin(m∠3)) ⇒ CB = sin(80)×(5÷sin(70)) = 5.240052604588
