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elena-14-01-66 [18.8K]
3 years ago
8

What is the length of AC?

Mathematics
2 answers:
choli [55]3 years ago
8 0
I think it is  C not sure if i'm correct though
Lana71 [14]3 years ago
7 0

Answer:

C. 126

Step-by-step explanation:

We have been given a diagram. We are asked to find the length of AC.

We can see that triangle CDE is similar to triangle CBA.

We know that corresponding sides of similar triangles are proportional, so we can set an equation as:

\frac{140-x}{x}=\frac{81}{9}

\frac{140-x}{x}*x=\frac{81}{9}*x

140-x=9x

Switch sides:

9x=140-x

9x+x=140-x+x

10x=140

\frac{10x}{10}=\frac{140}{10}

x=14

\overline{AC}=140-x

\overline{AC}=140-14

\overline{AC}=126

Therefore, the length of line segment is 126 and option C is the correct choice.

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-6d=-42 can you help me solve please
eduard

Given the equation :

-6d=-42

So, to find d , divide both sides by ( -6 )

So,

\begin{gathered} \frac{-6d}{-6}=\frac{-42}{-6} \\  \\ d=7 \end{gathered}

Note: when we divide two negative numbers, the result will be a positive number

5 0
1 year ago
Someone quickly hell
Elza [17]

Answer:

£3,780

Step-by-step explanation:

Total rows = 19 rows

Seats per row = 28 seats

Cost of tickets per seats = £8.75

Total number of seats at the concert = Total rows × seats per row

= 19 rows × 28 seats

= 532 seats

The tickets for 100 seats have not been sold

Total number of tickets = sold tickets + unsold tickets

532 = sold tickets + 100

532 - 100 = sold tickets

432 = sold tickets

Sold tickets = 432 tickets

Total cost estimate of sold tickets = sold tickets × cost of tickets per seats

= 432 × £8.75

= £3,780

3 0
3 years ago
Write 98 as the product of prime factors in ascending order
umka2103 [35]

to write 98 as a product of its prime factors we have to first find the prime factors of 98

prime factors are prime numbers by which the given number can be divided by.

98 we have to keep dividing it by prime numbers

98 is an even number so we can first divide by 2

98 / 2 = 49

49 is a multiple of 7 which too is a prime number so we can divide 49 by 7

49/7 = 7

7 can be divided again by 1

7/7 = 1

98 is divisible by 2 and 7

so 98 written as a product of prime factors is

98 = 2 x 7 x 7

4 0
3 years ago
Read 2 more answers
The floor of a rectangular room is 300 cm long and 180 cm wide. to carpet the floor? How many small tiles are needed​
Vinvika [58]

The number of small tiles are needed​ is 300 tiles.

<h3>Number of tiles needed</h3>

Using area of rectangular formula

Area of the room = length(l) × breadth (b)

Area of the room=300 cm×180 cm

Area of the room=54,000 cm²

Number of tiles needed = Area of rectangular region / Area of one tile

Number of tiles needed=54,000/180

Number of tiles needed=300 tiles

Therefore the number of small tiles are needed​ is 300 tiles.

Learn more about number of tiles needed here:brainly.com/question/2136390

#SPJ1

4 0
2 years ago
In slope-intercept form, what is the equation of the line passing through the points (-4.26) and (6-4)?
Harlamova29_29 [7]

Answer:

y=-3x+14

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-4-26)/(6-(-4))

m=-30/(6+4)

m=-30/10

m=-3

y-y1=m(x-x1)

y-26=-3(x-(-4))

y-26=-3(x+4)

y=-3x-12+26

y=-3x+14

5 0
4 years ago
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