Answer: x = 31
Step-By-Step:
<u>To Find x:</u>
<u />
(Angle Sum Property Of Triangles)
(Remove the brackets)
<u />
<u />
(Group Accordingly)
<u />
<u />
= 
=

= 
= 
= 
= 
<u>Therefore</u> x = 31
So,
Angle A = x + 10 = 31 + 10 = 41
Angle B = 2*x + 20 = 2*31 + 20 = 82
Angle C = 2*x - 5 = 62 - 5 = 57
Answer:
x = a(c - b)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Step-by-step explanation:
<u>Step 1: Define Equation</u>
x/a + b = c
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract <em>b</em> on both sides: x/a = c - b
- Multiply <em>a</em> on both sides: x = a(c - b)
Answer:
y=40-15x
Step-by-step explanation:
Let x represent the number of hours.
We have been given that Dudley travels 30 miles every 2 hours, so distance covered in each hour by Dudley would be:
.
Since Dudley travels 15 km per hour, so distance covered in x hours would be 15x.
We have been given that Dudley wants to cover 40 miles. So we can represent our given information in an equation as:
, where, y represents number of miles he has left to travel, after biking x hours.
▪ Answer:
9
▪ Step-by-step explanation:
Hi there !
6/2(1 + 2) =
= 3/1 × 3
= 3×3/1
= 9
Good luck !
Answer:
a = 2/3
Step-by-step explanation:
A cube root is the same as a 1/3 power. The square of that gives a 2/3 power.
a = 2/3
_____
<em>Additional comment</em>
You can see the relationship between a root index and an exponent if you consider what the root means.
Consider a cube root, for example. When you cube the root, you get the original number:
(∛x)·(∛x)·(∛x) = x
Now, let's write the root as a power of x: x^a.
(x^a)·(x^a)·(x^a) = x . . . . . where x^a = ∛x
We know this product is ...
x^(a+a+a) = x^(3a) = x^1
This tells us that ...
3a = 1 ⇒ a = 1/3
That is, ∛x = x^(1/3).
Of course an n-th root is multiplied by itself n times to get the original number, so the corresponding exponent is x^(1/n).