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. =)
Hello!
Explanation:
First, you had to do is multiply by 3 from both sides of an equation.
And then simplify by equation form. You can also multiply by the numbers.
Answer:
<u><em>*The answer must have a positive sign.*</em></u>
Hope this helps!
Thanks!
-Charlie
Answer:
$1032.60
Step-by-step explanation:
Given data
salary = $950 every two weeks
tax rate = 8%
let the initial pay be x
and let the pay after tax deduction be p
p= x-8/100x
Hence the equation for his pay is
subsitute
950=x-0.08x
950= 0.92x
divide both sides by 0.92
x= 950/0.92
x=$1032.60
The employee make $1032.60 every two weeks before taxes
Answer:
Yes
Step-by-step explanation:
Rectangle 1 dimensions are 12 feet by 16.5 feet
Rectangle 2 has dimensions of 8 inches by 11
inches.
Checking the scale WITHOUT CONVERTING units
12/8=1.5
16.5/11=1.5
Since both have a factor of 1.5, it means the two rectangles are the same but on different scales. However, in case the scale would not have been the same, we would have concluded otherwise. Therefore, triangle 1 is enlargement of triangle 2. These are similar rectangles with different scales.
C you multiply because there are 7 students and they have 3 EACH so you multiply. C