Answer:
<h2>a = √109 or 10.44</h2>
Step-by-step explanation:
To find the hypotenuse we use Pythagoras theorem which is given by
a² = b² + c²
where a is the hypotenuse
So we have
a² = 10² + 3²
a² = 100 + 9
a² = 109
<h3>a = √109 or 10.44</h3>
Hope this helps you
The distance between the two is 10
Answer:15
Step-by-step explanation:
Answer:
∠ XMN = 50°
Step-by-step explanation:
∠ XNM and ∠ XKL are alternate angles and are congruent, then
∠ XNM = 35°
The sum of the 3 angles in a triangle = 180° , so
∠ XMN = 180° - (95 + 35)° = 180° - 130° = 50°
Answer:
k = 13
Step-by-step explanation:
20 ^ k / 20^4 = 20^9
knowing the laws of exponents, diving two numbers of the same base with exponents is like subtracting the exponents, so
k^x / k^y
= k ^ (x - y)
apply that knowledge here
20 ^ k / 20 ^ 4 = 20 ^ 9
20 ^ ( k - 4 ) = 20 ^ 9
now the bases have no use here so ignore them, and just calculate the exponents
k - 4 = 9
solve using inverse operations
k - 4 = 9
+4 +4
k = 13
