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Anestetic [448]
3 years ago
8

What is the length of ac?

Mathematics
2 answers:
Lelu [443]3 years ago
8 0

Answer:

The length of AC is 126 units.

Step-by-step explanation:

Given information: ED=9 units, AB=81 units, EC=x and AC=140-x.

In triangle ABC and EDC,

\angle A=\angle E                           (Given)

\angle ACD=\angle ECD                     (Given)

By AA property of similarity,

\triangle ABC\sim \angle EDC

Both triangles ABC and EDC are similar. The corresponding sides of two similar triangles are proportional.

\frac{AB}{ED}=\frac{AC}{EC}

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

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

9x=140-x

9x+x=140

10x=140

Divide both sides by 10.

x=14

The value of x is 14. So, the length of AC is

AC=140-14=126

Therefore the length of AC is 126 units.

leonid [27]3 years ago
7 0

Answer:

Step-by-step explanation:

Given triangles are similar, so we setup a proportion  

(140-x)/81 = x/9

solving gives x = 14

AC = 140-x = 140-14 = 126

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ANSWER:

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4 0
2 years ago
If inflation from last year to this year was 2% and a pair of designer jeans sold for $75 last year, what would you expect to pa
tamaranim1 [39]

Answer:

$76.5

Step-by-step explanation:

We have been given that inflation from last year to this year was 2% and a pair of designer jeans sold for $75 last year. We are asked to find the price of pair of designer jeans this year.

An inflation of 2% will increase the price of pair of jeans by 2%, so price of pair of jeans this year would be $75 plus 2% of $75.

\text{Price of pair of jeans this year}=\$75+\$75\times\frac{2}{100}

\text{Price of pair of jeans this year}=\$75+\$75\times0.02

\text{Price of pair of jeans this year}=\$75+\$1.5

\text{Price of pair of jeans this year}=\$76.5

Therefore, the price of pair of jeans would be $76.5 this year.

7 0
3 years ago
Algebra 1 -5c+d=2c find for c
beks73 [17]

Answer:

d/7 = c

Step-by-step explanation:

-5c+d=2c

Add 5c to each side

-5c+5c+d=2c+5c

d = 7c

Divide each side by 7

d/7 = 7c/7

d/7 = c

8 0
3 years ago
Read 2 more answers
Are these three correct? (4,7 and 17.)
Helga [31]
Nine pairs is the answer
6 0
3 years ago
Mona wrote 7 tests, and her test average is 93. There will be one more test before the end of the year. What is the lowest grade
olga55 [171]
For this case, the first thing we are going to do is assume that all the tests are worth the same.
 Then, we define a variable:
 x: score of Mona's last test
 We write now the inequality that models the problem:
 \frac{93 + x}{2}  \geq  90
 From here, we clear the value of x: 93 + x  \geq  90*(2) 

93 + x  \geq  180

 x  \geq  180 - 93

 x  \geq  87
 Answer:
 
the lowest grade that Mona can get for her last test so that her test average is 90 or more is:
 
x = 87
8 0
3 years ago
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