Answer:
The value of x is 16
Step-by-step explanation:
In the right triangle of the length of the hypotenuse c and the lengths of two legs a and b
- a² + b² = c² ⇒ Pythagoras Theorem
In the given figure
∵ The right triangle has two legs of lengths 8√2, 8√2
∴ a = 8√2 and b = 8√2
∵ It has a hypotenuse of length x
∴ c = x
→ Substitute them in the rule above
∵ (8√2)² + (8√2)² = x²
∵ (8√2)² = (8)²(√2)² = (64)(2) = 128
∴ 128 + 128 = x²
∴ 256 = x²
→ Take a square root for both sides
∵ √256 = √(x)²
→ The root will cancel power 2 of x
∴ 16 = x
∴ The value of x is 16
Answer:
60 km
Step-by-step explanation:
a) A bearing is an angle, measured clockwise from the north direction.
(They are always given in 3 figures).
Therefore, the bearing of B from A is 090°
b) <u>Method 1</u>
Jafar drives from A to B = 2.4cm
As 1 cm represents 200 km, then 2.4 x 200 = 480 km
Kenzi drives from B to C = 1.2 + 1.5 = 2.7 cm
As 1 cm represents 200 km, then 2.7 x 200 = 540 km
To calculate how much further Kenzi drives that Jafar, subtract the distance Jafar drives from the distance Kenzi drives:
540 - 480 = 60 km
<u>Method 2</u>
The other way to do this is to calculate the difference in distance in centimeters and then convert the answer to kilometres by multiplying it by 200:
Jafar = 2.4 cm
Kenzi = 1.2 + 1.5 = 2.7 cm
Difference = 2.7 - 2.4 = 0.3 cm
Convert to km = 0.3 x 200 = 60 km
Answer:
any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.
Answer:
-4 and 8
Step-by-step explanation:
When looking at the number line to get the opposite of a number take your number and count that many numbers on the opposite side of the 0 (zero).
So if your number is -4 count that many on the opposite side of the zero to get 4.
Answer:
46, 92
Step-by-step explanation:
