Answer:
acute triangle, obtuse triangle
Step-by-step explanation:
The sums of interior angles of all triangles are 180°, but the triangles are only similar if their corresponding angles are congruent.
An acute triangle and an obtuse triangle both have angle sums of 180°, but can never be similar to one another.
Answer:
The image is (-18,0)
Step-by-step explanation:
Here, we want to find the image of the given point after dilation by the given scale factor
Mathematically, given a point with the pre-image (x,y) going under the dilation of scale factor k, centered at the origin, the coordinates of the image will be;
(kx , ky)
Applying this in the given scenario, we have
(2(-9) , 2(0))
= (-18,0)
Arc PQR measures 210°
An intercepted arc measures twice the intercepted angle. Here, the intercepted angle is ∠PSR. Hence:
Arc PQR = 2 * ∠PSR
1.) Compute for ∠PSR first. Opposite angles in a quadrilateral measures 180°. Hence:
∠PQR + ∠PSR = 180°
75° + ∠PSR = 180°
∠PSR = 180° - 75°
∠PSR = 105°
2.) Proceed with computing Arc PQR:
Arc PQR = 2 * ∠PSR
= 2 * 105°
= 210°
Answer: or (1,1)
Step-by-step explanation:
You can apply the Method of substitution.
Knowing that (second equation), you can substitute it into the first equation and solve for the variable y:
Now you need to substitute into the second equation to calculate the value of the variable x. Then:
Then, the solution is:
or (1,1)
