Answer:
16
Step-by-step explanation:
If P=2b +2s then you plug in the variables
Answer:
These are the answers for question 3 only.
Step-by-step explanation:
3)
a. 3 <u>></u> -3
b. 12 <u><</u> 24
c. -12 <u>></u> -24
d. 5 <u>></u> -(-5) - (I'm not sure about this one)
e. 7.2 <u>></u> 7
f. -7.2 <u><</u> -7
g. -1.5 <u>=</u> -3/2
h. -4/5 <u>></u> -5/4
i. -3/5 <u>=</u> -6/10
j. -2/3 <u><</u> 1/3
An equilateral triangle has all side lengths the same, and all angles are 60 degrees. Using this we can split the triangle along its altitude to get two right triangles with a hypotenuse of length 10 and a base of 1/2 of the original length, so 5. Now we can either use the Pythagorean theorem (a^2+b^2=c^2) or the fact that it is a 30 60 90 triangle (angles measure at 30 60 and 90 degrees) Pythagorean theorem is probably easier.
It stated that the squares of the two legs of a right triangle add to the square of the hypotenuse. So a(the altitude)^2+5(the base)^2=10(the hypotenuse)^2
A^2+5^2=10^2
A^2+25=100
A^2=75
A=sqrt(75)
A=5*sqrt(3)
Final answer:
The altitude of an equilateral triangle with side length 10 is 5sqrt(3), or about 8.66
Using x to represent our missing values and the fact that there are two missing values gives us x + x = 2x. Because it's the sum of these numbers and 0.34, we get the equation 2x + 0.34; now we set it equal to 2, 2x + 0.34 = 2.
To solve, 1st subtract 0.34 on both sides to get 2x = 1.66. Now divide by 2 on both sides to get x = 0.83.
So your decimals are 0.34, 0.83, and 0.83
When parallel lines are cut by a transversal, the alternate interior angles are equal.
<span>3x + 17 = x + 53</span>
Subtract 'x' from each side:
2x + 17 = 53
Subtract 17 from each side:
2x = 36
Divide each side by 2 :
<u>x = 18</u>