a x=12
the sum of angles in a triangle is 180
53+39+4+7x=180
96+7x=180
7x=86
x=84/7
x=12
b. sum of angles in a triangle is 180
5x+(6x-5)+75=180
5x+6x-5+75=180
11x+70=180
11x=180-70
11x=110
x=110/11
x=10
that's how to solve it
Answer:
The estimate value of the world's radius is 6384 kilometers ⇒ A
Step-by-step explanation:
The formula of the circumference of a circle is C = 2πr, where r is the radius of the circle
∵ The circumference of the world is 24,901 miles
∵ C = 2πr
- Substitute C by 24,901 to find r
∴ 24,901 = 2πr
- Divide both sides by 2π
∴
= r
∴ The radius is 3965.127389 miles
Change the mile to kilometer
∵ 1 mile = 1.60934 kilometers
- Multiply the value of the radius by 1.60934
∴ r = 3965.127389 × 1.60934
∴ r = 6381.238111 kilometers
- Round it to the nearest kilometers
∴ r = 6381 kilometers
The world's radius is 6381 kilometers
The nearest choice for this value is A
The estimate value of the world's radius is 6384 kilometers
Answer:
64
Step-by-step explanation:
So here you're just completing the square. the equation you gave is simply:
where c is the unknown value we're solving for. Whenever you complete the square, you add (b/2)^2
The reason for this, is because whenever you write a binomial as a perfect square it's in the form:
and this binomial expands out to become: 
If we write the second term of the binomial as b/2 we get:

which simplifies to:

and as you can see the last term is (b/2)^2, which is why we need to add that part for it to be a perfect square.
So we would need to add (16/2)^2 = 8^2 = 64
This way, we can express it as a perfect square binomial:
which expands out to: 
OD because -7.5 would equal 5.5