Answer:
x= 10, y= 15
Step-by-step explanation:
because alternate interior angles are congruent
8x -10 = 7x
8x -7x = 10
x = 10
because straighht line form 180°
6y+20 +7x = 180
6y +20 +70 = 180
6y = 180 -90
y=90/6 = 30/2 = 15
Answer:
C. He found the midpoint of a segment.
Step-by-step explanation:
The midpoint is the point that divides a segment into two equal parts. Thus it is located at the middle of the segment.
John used this simple method to determine the midpoint of a segment. For example, let a segment AB = 10 cm be folded in half. A point made at the fold would be at 5 cm, which is the midpoint of the segment.
Thus the appropriate answer to the question is option C.
Answer:
The least common multiple of 5 and 7 is 35
Step-by-step explanation:
Because 5 x 7 is 35
Answer: what is the distance between points A and B? 14 Units
Step-by-step explanation: The first thing that you need to do is to draw the number line shown, then we mark the two points mentioned: -2 and 12 and encircle them, following this we are going to count to the right, starting on point A, -2, and finishing on point B, 12. After we count, we are going to see that the distance between the two points is 14 units.
The number of strings that can be formed by ordering the letters SCHOOL using some or all of the letters is 1440 strings
<h3>
What is Permutation in Mathematics ?</h3>
Permutation can be defined as number of ways in which things can arranged.
We were given to find how many strings that can be formed by ordering the letters SCHOOL using some or all of the letters.
First of all, How many distinct letters are in the word SCHOOL ?
The distinct letters are 5 in numbers.
What is the total number of letters in the word SCHOOL ?
The total number of letters is 6.
Then
6! + 5
That is, 6 factorial + 6 permutation 5
( 6 x 5 x 4 x 3 x 2 x 1 ) + 6!/( 6 - 5)!
720 + 720
1440 strings
Therefore, the number of strings that can be formed by ordering the letters SCHOOL using some or all of the letters is 1440 strings
Learn more about Permutation here: brainly.com/question/4658834
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