Prime factorization of 5·2·5=5^2·2
9514 1404 393
Answer:
C. 78°
Step-by-step explanation:
The sum of angles in a triangle is 180°.
(7x-6)° +(4x+11)° +43° = 180°
11x +48 = 180 . . . . . divide by °, simplify
11x = 132 . . . . . . . subtract 48
x = 12 . . . . . . . divide by 11
Then the measure of angle T is ...
∠T = (7x -6)° = (7(12) -6)°
∠T = 78°
Step-by-step explanation:
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Answer:
3 1/11
Step-by-step explanation:
8 1/2 x 4/11
Change to an improper fraction
(2*8+1)/2 * 4/11
17/2 * 4/11
68 /22
Divide the top and bottom by 2
34/11
Change back to a mixed number
11 goes into 34 3 times with 1 left over
3 1/11
Answer:
The measure of segment AC is 36 units
Step-by-step explanation:
- The mid-point divides the segment into two equal parts in length
- B is the mid point of segment AC
- That means B divides segment AC into two equal parts in length
∴ AB = BC
∵ AC = 5x - 9
∵ AB = 2x
- The two parts AB and BC are equal in length
∴ BC = 2x
∵ AC = AB + BC
- Substitute the values of AB and BC in the expression of AC
∴ AC = 2x + 2x
∴ AC = 4x
∵ AC = 5x - 9
- Equate the two values of AC
∴ 5x - 9 = 4x
- Add 9 to both sides
∴ 5x = 4x + 9
- Subtract 4x from both sides
∴ x = 9
- Substitute the value of x in any expression of AC
∵ AC = 4x
∵ x = 9
∴ AC = 4(9) = 36
* The measure of segment AC is 36 units
