Question 1.
Formula for the sum of the measures of the interior angles of an n-sided polygon:
S = 180° · (n – 2)
A hexagon has 6 edges (hence 6 interior angles), so for this question, the that sum is
S = 180° ·(6 – 2) (n = 6)
S = 180° · 4
S = 720° <——— sum of the interior angles of a hexagon.
Then, just sum all the measures of the interior angles and it must be equal to 720°:
150° + 95° + 105° + 145° + 95° + x = 720°
590° + x = 720°
x = 720° – 590°
x = 130° <——— this is the measure of the missing angle.
The second option is the correct: 130°.
—————
Question 2.
• length of the triangle's base: b = 8.7 ft;
• length of the corresponding height: h = 4.5 ft.
The area of the triangle is given by this formula. Just plug in values:
b × h
A = ————
2
(8.7 ft) × (4.5 ft)
A = —————————
2
8.7 × 4.5
A = —————— ft²
2
39.15
A = ———— ft²
2
A = 19.575 ft² <——— this is the correct answer (second option).
I hope this helps. =)
Answer:
I personnally have no ideaa
Step-by-step explanation:
no ideaaa
346 2/3 feet is the length of the line around the perimeter of the field
Answer:
Option 2
Step-by-step explanation:
We know that the graph will face down (the negative sign)
We also know that the vertex should be (-2, 1)
Therefore, option 2 is the solution
Answer:
Perpendicular
Step-by-step explanation:
First note:
- Parallel lines have equal slope
- Perpendicular lines have slopes that are negative reciprocal to each other
Lets check, first we need to convert them to slope intercept form (y = mx + b), where m would be the slope.
L1:
4x + 5y = 15
5y = -4x + 15
y = -4/5x + 3
L2:
4y = 5x - 12
y = 5/4x - 3
Slope of L1 is -4/5 and Slope of L2 is 5/4
<em>Are they negative reciprocals of each other? Yes, because multiplying the slopes would give us "-1"</em>
<em></em>
<em />
So the lines are Perpendicular