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IgorLugansk [536]
4 years ago
5

The triangles below are similar. What is the length of ? A. 17 cm C. 19 cm B. 18 cm D. 20 cm

Mathematics
1 answer:
denis-greek [22]4 years ago
4 0

Answer:

B. 18 cm.

Step-by-step explanation:

Because they are similar, we can say that segment AC corresponds to segment DF, and segment AB corresponds to segment ED. So, we can set up a proportion.

\frac{16}{24} =\frac{12}{x}

\frac{2}{3} =\frac{12}{x}

2 * x = 12 * 3

2x = 36

x = 18

So, the length of ED is B. 18 cm.

Hope this helps!

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If the range of f(x)= 4x+1 is 9 find its domain. *​
dimaraw [331]

Answer:f(x)=4x+1=9

=> 4x=9-1

=> 4x=8

=>x=2

Step-by-step explanation:

8 0
3 years ago
There are six houses in a colony, such that 3 houses are in one row and the other 3 houses are in the opposite row. The three ho
Reil [10]

The GREEN house is diagonally opposite the orange-coloured house.

There are six houses in a colony, such that 3 houses are in one row and the other 3 houses are in the opposite row.

Each house is painted with a different colour from red blue, green,

yellow, pink and orange.

1. Houses at the corner are not painted in blue and red colour

2. House painted orange colour is not opposite the house painted in green colour

3. Yellow and pink coloured houses are not in the same row

We need to find which house is diagonally opposite the orange-coloured house

<h3>What is probability?</h3>

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favourable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

Arrangement is

Row1              1             2             3

Row2             4             5             6

Houses at the corner are not painted blue and red colour

1, 3, 4 & 6 are at the corner hence 2 and 5 has been Blue and Red in colour.

Blue = B , Red = R

Row1              1             B/R             3

Row2             4            R/B             6

House painted with orange colour is not opposite the house painted with green colour

Yellow and pink coloured houses are not in the same row

Also yellow and pink can not be opposite as then orange will be opposite to green

Hence yellow and pink are diagonally opposite

Hence green house is opposite to orange House

Row1              Y/P             B/R                G/O

Row2             O/G            R/B                 P/Y

or

Row1              O/G             B/R               P/Y  

Row2             Y/P            R/B                 G/O

The GREEN house is diagonally opposite the orange-coloured house.

To learn more about probability visit:

brainly.com/question/9793303.

#SPJ4

4 0
1 year ago
This is a number system which uses a base of 10. The valid digits are 0 to 9.
Licemer1 [7]
I think it's 9 but I could be wrong
7 0
3 years ago
Read 2 more answers
Help me out pls and thank you very much !!!!!!!
ArbitrLikvidat [17]

Answer:

8

Step-by-step explanation:

Since this is a rectangle, the opposite sides are congruent.

So the lengths of DG and EF are equal

3x + 5 = 29

3x = 29 - 5

3x = 24

x = 24/3

x = 8

5 0
3 years ago
Please help with this
ioda

Answer:

Some have multiple choices. See below for additional comments.

  • a) iii
  • b) i
  • c) v
  • d) ii
  • e) iv

Step-by-step explanation:

i -- slope-intercept form. Shows the slope and the y-intercept

ii -- slope-intercept form. Shows the slope and the x-intercept

iii -- intercept form. Shows both the x- and y-intercepts

iv -- standard form.

v -- point-slope form. Shows the slope and one point on the line.

vi -- another point-slope form. Shows the slope and one point on the line

__

With the above forms in mind, ...

a) both intercepts are best shown in form iii

b) the slope is shown in forms i, ii, v, vi. Form i is the most uncluttered.

c) points are shown in forms v and vi. Form v may be least confusing.

d) the sign can be readily determined in form ii.

e) testing the given point is easily done using forms ii and iv. Form iv may be the best for this.

_____

<em>Additional comments</em>

Since each of these forms of the equation has utility in different situations, it can be worthwhile to learn the different forms. For example, I like the standard form for making perpendicular lines, though any of the "slope-" forms can be useful for that, too. The useful form to start with will be the one that best relates to the information given. (For two points given, there is a "2-point form" not shown here.)

6 0
4 years ago
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