Answer:
(1, - 2 )
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ), thus
B(4, 2 ) → (4, - 2 )
A translation of 3 units left means subtract 3 from the x- coordinate of the point.
(4, - 2 ) → (4 - 3, - 2 ) → (1, - 2 )
Answer:
h = 7
t = 11
Step-by-step explanation:
5t + h = 62
2t + h = 29
h+5t = 62
h+2t = 29
h = 7
t = 11
9514 1404 393
Answer:
x = 16
Step-by-step explanation:
Corresponding sides are proportional.
BE/CD = AE/AD
20/(3x+8) = (x-1)/(x-1+27)
20(x+26) = (3x+8)(x -1)
In standard form, this is ...
3x^2 -15x -528 = 0
x^2 -5x -176 = 0 . . . . . . divide by 3
(x -16)(x +11) = 0 . . . . . . . factor
x = 16
__
This is the positive value that makes the product zero. x=-11 will also make the product 0, but gives negative segment lengths in the geometry. It is an extraneous solution.
Answer:
8
Step-by-step explanation:
a A + b A where A is a matrix and a and b are scalars
( a+b) A
3+5 ![\left[\begin{array}{cc}-1&2\\4&-5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-1%262%5C%5C4%26-5%5Cend%7Barray%7D%5Cright%5D)
= 8
Answer:
100
Step-by-step explanation:
Isosceles triangle have 2 equal angles. Therefore the second angle in the triangle will also be 25.
Since the sum of angles in a triangle is 180.
180-(25x2) will give you the last angle in one of the triangles.
The other angle is identical so the angle at the top of the other triangle will also be 130.
The sum of angles in a circle is 360.
Therefore, angle x = 360-(130x2)
X= 100
