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polet [3.4K]
3 years ago
8

Find the missing segment in the attached image

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
4 0

Answer:

The length of the missing segment is 24

Step-by-step explanation:

Given

The figure above

Required

Determine the missing segment

Let the missing segment be represented with x

Given that, there exist parallel lines between the two triangles;

The relationship between the sides of the triangles is as follows;

\frac{15}{x} = \frac{15+5}{8+x}

\frac{15}{x} = \frac{20}{8+x}

Cross Multiply

15 * (8 + x) = 20 * x

Open bracket

15*8 + 15 * x = 20 * x

120 + 15x = 20x

Subtract 15x from both sides

120 + 15x -15x= 20x-15x

120 = 20x-15x

120 = 5x

Divide both sides by 5

\frac{120}{5} = \frac{5x}{5}

\frac{120}{5} = x

24 = x

x = 24

Hence, the length of the missing segment is 24

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Match each system to the correct choice.
pogonyaev

Answer:

Option A - Neither. Lines intersect but are not perpendicular. One Solution.

Option B - Lines are equivalent. Infinitely many solutions

Option C - Lines are perpendicular. Only one solution

Option D - Lines are parallel. No solution

Step-by-step explanation:

The slope equation is known as;

y = mx + c

Where m is slope and c is intercept.

Now, two lines are parallel if their slopes are equal.

Looking at the options;

Option D with y = 12x + 6 and y = 12x - 7 have the same slope of 12.

Thus,the lines are parrallel, no solution.

Two lines are perpendicular if the product of their slopes is -1. Option C is the one that falls into this category because -2/5 × 5/2 = - 1. Thus, lines here are perpendicular and have one solution.

Two lines are said to intersect but not perpendicular if they have different slopes but their products are not -1.

Option A falls into this category because - 9 ≠ 3/2 and their product is not -1.

Two lines are said to be equivalent with infinitely many solutions when their slopes and y-intercept are equal.

Option B falls into this category.

8 0
2 years ago
4 diff salds 7 kinds of pizza and 6 desserts how many options
babymother [125]
I would say 168 is the answer.
8 0
3 years ago
mrs peters bought 7 1/2 yards of fabric she needs another 4 7/8 yards how many yards of fabric does she need altogether
Nataliya [291]
7 1/2 = 15/2 = 60/8
4 7/8 = 39/8

60/8 + 39/8 = 99/8 = 12 3/8 yards
6 0
3 years ago
20 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Anuta_ua [19.1K]

Answer:

ok i got this just wait a sec and the reason y i do this is so ppl dont

take the answer

Step-by-step explanation:

its 5x^2

Can i gt brainly

3 0
3 years ago
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adoni [48]

Answer:

(-5, -3)

Step-by-step explanation:

Scale factor 1/2 means divide points by 2

3 0
3 years ago
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