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Alika [10]
3 years ago
8

Trisha drew a pair of line segments starting from a vertex. Which of these statements best compares the pair of line segments wi

th the vertex?
A. The line segments and the vertex have length as a dimension of measurement and there are three collinear points on each.
B. Line segments and the vertex have two endpoints each and the distance between the end points is their dimension.
C. Line segments have two endpoints and a vertex is a common endpoint where two line segments meet.
D. The line segments and the vertex have their lines extending in one direction only and the lengths of both are
Mathematics
2 answers:
Ksju [112]3 years ago
6 0

The <em>correct answer</em> is:


C) Line segments have two endpoints and a vertex is a common endpoint where two line segments meet.


Explanation:


A line segment is defined as a portion of a line that has two endpoints.


A vertex is defined as the common endpoint of two or more rays or line segments.


This makes C the correct option.

Mandarinka [93]3 years ago
6 0
Trisha drew a pair of line segments starting from a vertex. The statement that best compares the pair of line segments with the vertex is statement three or choice C. It states that the line segments have two end points and a vertex is a common end point where two line segments meet.
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How many 7-digit numbers are there where all the digits are different and in increasing order? for example, the numbers 1345689
frutty [35]
For this problem,we use the Fundamental Counting Principle. You know that there are 7 digits in a number. In this principle, you have to multiply the possible numbers for every digit. If the first number cannot be zero, then there are 9 possible numbers. So, the value for the first digit is 9. The second digit could be any number but less of 1 because it was used in the 1st digit. So, that would be 10 - 1 = 9. The third digit must be the value in the second digit less than 1. That would be 9 - 1 = 8. And so on and so forth. The solution would be:

9×9×8×7×6×5×4 = 544,320 7-digit numbers
4 0
3 years ago
Solve the simultaneous equations<br> 3<br> 2x - y = 7<br> xy = 15
ehidna [41]

Answer:

(5, 3 ) and (- \frac{3}{2}, - 10 )

Step-by-step explanation:

Given the 2 equations

2x - y = 7 → (1)

xy = 15 → (2)

Rearrange (1) expressing y in terms of x , that is

y = 2x - 7 → (3)

Substitute y = 2x - 7 into (2)

x(2x - 7) = 15

2x² - 7x = 15 ( subtract 15 from both sides )

2x² - 7x - 15 = 0 ← in standard form

(x - 5)(2x + 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - \frac{3}{2}

Substitute these values into (3) for corresponding values of y

x = 5 : y = 2(5) - 7 = 10 - 7 = 3 ⇒ (5, 3 )

x = - \frac{3}{2} : y = 2(- \frac{3}{2} ) - 7 = - 3 - 7 = - 10 ⇒ (- \frac{3}{2}, - 10 )

8 0
3 years ago
A rectangle is 10 inches wider than it is long. The perimeter is 48 inches. what is the length and width of the rectangle?
Liula [17]

Answer:

a) x represents length?

b) 10+x=48

d) 38 inches

Step-by-step explanation:

c) 10+x=48

subtract 10 to both sides

x=48-10

x=38

3 0
3 years ago
Whats the answer to this problem????<br><br><br>the product of 6 and a number p is 24
Ad libitum [116K]
Well the P should probably be 4
7 0
3 years ago
What is the value of y?<br><br><br><br> Enter your answer in the box.<br><br> y =
Olenka [21]

Answer:

y=40\°

Step-by-step explanation:

we know that

An isosceles triangle has two equal sides and two equal angles

The two equal angles are called the base angles and the third angle is called the vertex angle

In this problem the triangle ABC is an isosceles  triangle

so

AB=AC

5x=40\°

x=8\°

The sum of the internal angles of a triangle is equal to 180\°

so

Find the value of y

(2y+20)\°+2(40\°)=180\°

2y=180\°-20\°-80\°

2y=80\°

y=40\°

6 0
3 years ago
Read 2 more answers
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