Answer:
x = 10
Step-by-step explanation:
First, distribute:

Next, subtract
from both sides:

(multiply
by 2 to get common denominator,
)

Next, subtract
from both sides:

(multiply
by 2 to get common denominator,
)
⇒ 
Next, multiply both sides by 10:

FInally, divide both sides by -1:
x = 10
Answer:

Step-by-step explanation:
→ First understand what Pythagoras theorem is
Pythagoras is a theorem used to find the hypotenuse (the side opposite to the right-angle) of a triangle. We would need the base lengths as well the height in order to use Pythagoras.
→ State the formula and identify the letters
a² + b² = c² ⇒ where 'a' is 380cm, 'b' is 290cm and 'c' is what we are trying to work out
→ Substitute in the values into the formula
380² + 290² = c²
⇒ Simplify
144400 + 84100 = c²
⇒ Collect the numbers together
228500 = c²
⇒ Square root both sides to find 'c'
478.0167361 = c
→ The length of the diagonal is 478.02
Steve payed $4 in tax because 10% of 40 is 4. Steve payed $44 in total because 4+40=44.
Answer:
Step-by-step explanation:
Use Pythagorean to find the missing side x of the triangle.
<u>It is a hypotenuse with other sides 18 in and half of 15 in:</u>
<u>The perimeter is:</u>
Answer:

Step-by-step explanation:
Given

Recursive: 
Required
Determine the formula
Substitute 2 for n to determine 


Substitute 


Next is to determine the common difference, d;



The nth term of an arithmetic sequence is calculated as

Substitute
and 


Hence, the nth term of the sequence can be calculated using