Answer:
a equals 105°
Step-by-step explanation:
angles in a straight line add up to 180°
a+75=180
a=180-75
a=105°
Let x be the number in the problem. When it states that x is "no more than -10", it means than it is less than or equal to -10. So, we have
x≤-10
In order to cancel out the
on the left and isolate x, we multiply both sides by
(since
·
=1). Thus, we have
x≤-10·
=-15
Therefore, x≤-15
Answer:
-184
Step-by-step explanation:
First we plug in -14 into the x's.
4 (-14) - 8(2 - (- 14))
Then we can distribute the 8.
4 (-14) - 16 - 112
Then solve from here.
-56 - 16 - 112
= -184
Answer:
Step-by-step explanation:
trapezium
<h2>If the diagonals of a quadrilateral divide each other proportionally, then prove that the quadrilateral is a trapezium.</h2>
Answer:
36 ft by 16 ft
Step-by-step explanation:
To solve this problem, you need to find dimensions of a rectangle such that the perimeter is 104 ft and the area is 576 ft. The perimeter is twice the sum of length and width, so the sum of length and width is 52 ft.
The area is the product of length and width, so if w represents the width, we have ...
w(52 -w) = 576
w² -52w = -576 . . . . . eliminate parentheses, multiply by -1
w² -52w +26² = 26² -576 . . . . . . complete the square
(w -26)² = 676 -576 = 100
w = 26 ±√100 = {16, 36}
If the width is the short dimension, it is 16 feet. Then the length is 36 feet.
