Supplementary angles are angles whose sum is equal to 180°.
Let one angle be x
The other angle is said to be 26°more than the other so it is x + 26
x + (x+26) = 180
x + x + 26 = 180
2x = 180 - 26
2x = 154
x = 154/2
x = 77
1st angle, x, is equal to 77°
2nd angle, x + 26°, is 77° + 26° = 103°
77° + 103° = 180°
180° = 180°
Step-by-step explanation:
-4x+5>-5
-5 -5
-4x>-10
/-4 /-4
x<2/5
You switch the sign whenever you divide a negative. In this case, we did, so instead of it being x>2/5, the answer is x<2/5.
hope it helps! :3
Answer: tan^2ø
(i’m gonna use ø as theta because i can’t find it)
explanation:
sin^2ø-1=cos^2ø because of one of the pythagorean identities
sin^2ø/cos^2ø is tan^2ø because sin/cos is tan- opposite/hypotenuse divided by adjacent/hypotenuse is opposite/adjacent
hope that helps- you can comment if you need any more explanation :)
Answer: the length is 11 cm.
The width is 7 cm.
Step-by-step explanation:
Let L represent the length of the rectangular plastic box.
Let W represent the width of the rectangular plastic box.
The area of the rectangular top of the box is 77 square cm. This means that
LW = 77- - - - - - - ;- - - -1
The plastic box has a length 4 cm longer than its width. This means that
L = W + 4
Substituting L = W + 4 into equation 1, it becomes
(W + 4)W = 77
W² + 4W = 77
W² + 4W - 77 = 0
W² + 11W - 7W - 77 = 0
W(W + 11) - 7(W + 11) = 0
W - 7 = 0 or W + 11 = 0
W = 7 or W = - 11
Since the width cannot be negative, then W = 7cm
L = 77/7 = 11 cm
