Find the value of x. #9,10,11,&12
1 answer:
Answer:
Step-by-step explanation:
9). It's given in the triangle → Two angles are equal in measure
Therefore, by the definition of an isosceles triangle, opposite sides of the equal angles are equal in measure.
x = 12
10). Two sides of the given triangles are equal in length.
By the definition of an isosceles triangle, opposite angles of the equal sides of the triangle will be equal in measure.
Therefore, y = 55°
By the triangle sum theorem,
x° + y° + 55° = 180°
x° + 55° + 55° = 180°
x = 180 - 110
x = 70°
11). By the definition of an isosceles triangle, opposite sides of the equal angles will be equal in measure.
x + 3 = 12
x = 9
12). By the definition of an isosceles triangle, opposite angles of the equal sides of the triangle will be equal in measure.
m∠2 = 53°
x + 65 = 53
x = 53 - 65
x = -12
You might be interested in
Answer:
See attachment
Step-by-step explanation:
The given matrix equation is:
To find Matrix X, we need to multiply both sides of the equation by 2 to obtain:
This simplifies to;
By scalar multiplication, we multiply each entry in the matrix A by to 2 to obtain matrix X.
Answer:
Option (C) and (D)
Step-by-step explanation:
Given piecewise function is,
f(x) = 2x, x < 1
5, x = 1
, x > 1
Option (A),
x = 5 means x > 1
So the function will be,
f(x) =
f(5) = (5)²
= 25
Therefore, f(5) = 1 is not correct.
Option (B),
x = -2 means x < 1
f(x) = 2x will be applicable.
f(-2) = 2(-2) = -4
Therefore, f(-2) = 4 is not correct.
Option (C)
For x = 1,
f(1) = 5
Therefore, f(1) = 5 is the correct option.
Option (D)
x = 2 means x > 1 and the function defined will be,
f(x) = x²
f(2) = 2²
= 4
Therefore, f(2) = 4 will be the correct option.
Options (C) and (D) will be the answer.