Answer:
the slope is 5
Step-by-step explanation:
Answer:
x=125
Step-by-step explanation:
∠PAT=180° - ∠ATP - ∠APT
∠PAT=180 - 3x - 3 -4x -4= (173 - 7x)°
3x + 3 + 4x + 4 + 173-7x = 180
⇔x = 125
L ≥ 5w + 4
2(L+w) ≥ 32
L+w ≥ 16
6w + 4 ≥ 16
6w ≥ 12
w ≥ 2
L ≥ 5w + 4
L ≥ 14
If L = 14 and w = 2 then the perimeter is 32.
These are the smallest dimensions that fit the criteria.
Note: If we raise the width by 1 to w = 3
then the length is at least 19. At 19 by 3 we have P = 44
Like would be appreciated!!
Answer:
angle 1 and angle 2 are supplementary angles
Step-by-step explanation:
When the base of the angles forms a straight line, the sum of the angles is 180°. That's the definition of supplementary angles.
Complementary angles form a right angle. The sum of complementary angles is 90°
<em>A slightly silly way to remember Complementary angles: The two angles look at each other and compliment each other saying, "You look all right to me!"</em>
<em>"</em><em>Yes,</em><em> </em><em>we </em><em>are </em><em><u>so </u></em><em><u>right</u></em><em> </em><em>together</em><em>!</em><em>"</em>
<em>:</em><em>)</em>
Answer:
x < -11 or x ∈ (-∞, -11)
Step-by-step explanation:
4x + 6 < 3x - 5
<=> 4x - 3x < -5 - 6
<=> x < -11
