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IrinaK [193]
2 years ago
10

Point b lies on the segment ac . Find the length of the segment ac, if ab=7.8 cm, bc=25mm. How many different solutions can this

problem have? What if we said that point b lies on line a c?
Mathematics
1 answer:
ladessa [460]2 years ago
7 0

The length of the segment ac is 10.3 cm

<h3>How to determine the length ac?</h3>

The segments are given s:

ab = 7.8cm

bc = 25mm

Point b is located between points a and c.

So, we have:

ac = ab + bc

Substitute known values

ac = 7.8cm + 25mm

Express mm a  cm

ac = 7.8cm + 2.5cm

Evaluate the sum

ac = 10.3 cm

If the point b lies on segment ac, then there can be only one solution

Read more about line segment at:

brainly.com/question/2437195

#SPJ1

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LekaFEV [45]
3(x - 4) = 3x - 12 (expand the brackets)
3x - 12 = 2x + 6
3x = 2x + 6 + 12 (put all of the integers on one side)
3x = 2x + 18 (simplify - collect like terms)
3x - 2x = 18 (put all of the unknowns on one side)
x = 18 (simplify - collect like terms)

Therefore, we know that x is equal to 18, and so the answer is E.
4 0
3 years ago
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The graph shows the career interests of the students at Linda's college. Suppose there are 900 students at the school. How many
nevsk [136]

Answer:

117 students

Step-by-step explanation:

13/100 = X/900

(13 * 900)/100 = 117

5 0
2 years ago
The sum of 2 numbers is 100. Twice the first number plus twice the second number is 200. What are the numbers?
dlinn [17]

Answer:

50+50=100

100+100=200

Step-by-step explanation:

The sum of 2 numbers is 100. 50 x 2 = 100

Twice the first number plus twice the second number is 200.

50+50=100 so therfore 100+100 makes 200

6 0
3 years ago
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Define the set X = {(x,y)|x &gt; 0,y ≤ √x}.
Kitty [74]

The set X is convex.

In geometry, a subset of an affine space over the real numbers, or more broadly a subset of a Euclidean space, is said to be convex if it contains the entire line segment connecting any two points in the subset. A solid cube is an example of a convex set, whereas anything hollow or with an indent, such as a crescent shape, is not. Alternatively, a convex region is a subset that crosses every line into a single line segment.

b)The set X is convex as any two points on the set X is included in the whole set as x>0. So a line joining any two points on the set X is completely inside the set x.

c)set X is not a closed set as the compliment of the set is not an open set.

d)Set X is not bounded. If a set S contains both upper and lower bounds, it is said to be bounded. A set of real numbers is therefore said to be bounded if it fits inside a defined range. hence set x is not bounded.

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3 0
1 year ago
Write the first five terms of the sequence in which the nth term is
ziro4ka [17]

Answer:

C) 2,6,24,120,720

Step-by-step explanation:

Here the n-th term An = \frac{(n +2)!}{n + 2}

A1 is the first term

A1 = (1 + 2)!/(1 + 2)

= 3!/3

A1 = 2

A2 is the second term

A2 = (2 +2)!/(2 +2)

= 4!/4

A2 = (1*2*3*4) /4

A2 = 6

A3 is the third term

A3 = (3 + 2)!/(3 +2)

A3 = 5!/5

A3 = 24

A4 is the fourth term

A4 = (4 + 2)!/(4 + 2)

A4 = 6!/6

A4 = 120

A5 is the fifth term

A5 = (5 + 2)!/(5 +2)

A5 = 7!/7

A5 = 720

Answer: C) 2,6,24,120,720

Thank you.

8 0
3 years ago
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