The HCF of 104 and X is 52. The HCF of X and 234 is 78. Given that X is a number between 104 and 234, find X.

Highest common factor (HCF) is the highest factor of two number among all the common factors of the these number.

When finding the factors of two number, some number among these factors are common. The value of the number is 156.

When finding the factors of two number, some number among these factors are common.

Highest common factor (HCF) is the highest factor of two number among all the common factors of the these number.

Given information-

The HCF of 104 and is 52.

The HCF of and 234 is 78.

The number is between 104 and 234.

The factors of 52 (multiples of 52) less than or equal to the number 234 are,

The factors of 78 (multiples of 78) less than or equal to the number 234 are,

The common number from both sets is 156.

The number 156 is the value of which is between the number 104 and 234.

Hence the value of the number is 156.

Learn more about the highest common factor here;

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X = 156

Step-by-step explanation:

52 is a factor of 52, 104, 156, and 208

78 is a factor of 78, 156, and 234.

The commonality here is 156.

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation: