Answer:
arc ABD = 56°
Step-by-step explanation:
The measure of arc EF is the same as the measure of central angle ECF. That angle is a vertical angle with angle ACB, so they are congruent. The angle sum theorem tells you the measure of angle ACD is the sum of the measures of angles ACB and BCD. That sum is 35° +21° = 56°.
Since the central angle ACD has measure 56°, arc AD has measure 56°.
Answer:
it should equal 68 degrees.
Step-by-step explanation:
if you are looking for the value of m<1, you would first need to find the value of the missing angle on the left triangle. the angles in triangles are equal to 180 degrees, so the equation would be 180 = 50 + 80 + x, and x = 50.
Then move to the middle triangle. The angle you solved for has an angle "connected" to it, its vertical pair, which also equals 50. Then you solve for the last angle, the angle on the right. 180 = 50 + 62 + x, and x = 68.
m<1 is equal to its vertical angle, which is the angle you just solved for. its value should be 68 degrees.
if that wasn't what you were looking for, sorry. hope this helped :)
Answer:
See below
Step-by-step explanation:
25¹¹ - 5¹⁹
Convert to base 5 = (5²)¹¹ - 5¹⁹
= 5²² - 5¹⁹
Factor out the GCF = 5¹⁹(5³ - 1)
= 5¹⁹(125 - 1)
= 5¹⁹ × 124
= 5¹⁹ × 4 × 31
31 is a factor of 25¹¹ - 5¹⁹, so the expression is divisible by 31.
Answer:
x=9
Step-by-step explanation:
5x+12=3+6x
Subtract 5x on both sides to get the variable on the same side of the equation
12=3+x
Subtract 3 on both sides to isolate the variable
9=x
You have to remeber that you have to have a number that is less than 10, but equal or greater than 1! Okay since your trying to get between 1-10 with this number you would move the decimal point 5 places to the right. And since you are going back it is going to be negative so the answer would be 6.72*10^-5