If

, then either

or

is contained entirely in

.
In the first case, we get

.
In the second case, we have

, or

. The LHS must be between 0 and 1, and this can only occur as long as

.
Squares and Rectangles can be formed by using two equilateral triangles.
Answer:
240.
Step-by-step explanation:
Take 500 times 48 divided by 100.
Answer:
80°
Step-by-step explanation:
The sum of the marked angles is 145°, so we have ...
(4x+5)° +(6x -10)° = 145°
10x -5 = 145 . . . . . . . . . . divide by °, simplify
10x = 150 . . . . . . . . add 5
x = 15 . . . . . . . . divide by 10
Then the measure of angle XMN is ..
angle XMN = (6x -10)° = (6(15) -10)° = 80°
______
<em>Check</em>
angle ZMX = (4(15)+5)° = 65°
and 65° +80° = 145° . . . . as required