Solve each equation. Round to the nearest tenth, if necessary. z2 = 361

By using proportion, the value of x is,

⇒ x = 30

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

the pair of polygons is similar.

Hence, By using proportion we get;

⇒ 30/12 = 75/x

Solve for x by cross multiply,

⇒ x = 75 x 12 / 30

⇒ x = 30

Thus, By using proportion, the value of x is,

⇒ x = 30

Learn more about the proportion visit:

brainly.com/question/1496357

#SPJ1

The greatest common factor (GCF) of 65 and 91 is 13 by using prime factorization method:

To find the GCF of two numbers,  to determine the largest number that divides both of them evenly.

To find the GCF of 65 and 91,  use the prime factorization method:

Step 1: Prime factorize both numbers:

65 = 5 × 13

91 = 7 × 13

Step 2: Identify the common prime factors:

Both 65 and 91 share the prime factor 13.

Step 3: Determine the highest common prime factor:

The highest common prime factor of 65 and 91 is 13.

Therefore, the GCF of 65 and 91 is 13.

Learn more about greatest common factor here:

brainly.com/question/2292401

#SPJ6

Final answer:

The difference between the highest and lowest elevations in Louisiana is 543 feet.

Explanation:

The difference between the highest and lowest elevations in Louisiana can be calculated by subtracting the lowest elevation from the highest elevation:

Highest Elevation (Mt. Driskill): 535 ft

Lowest Elevation (New Orleans): -8 ft

Difference = 535 ft - (-8 ft) = 535 ft + 8 ft = 543 feet

Learn more about elevations in Louisiana here:

brainly.com/question/28779070

#SPJ2