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olya-2409 [2.1K]
4 years ago
9

What is the length of AC?

Mathematics
1 answer:
adelina 88 [10]4 years ago
3 0
Since both triangles have a right-angle, and the two angles at vertex C are also twins, thus both triangles are similar by AA, therefore,

\bf \cfrac{small}{large}\qquad \cfrac{DE}{BA}=\cfrac{EC}{CA}\implies \cfrac{7}{84}=\cfrac{x}{156-x}\implies 1092-7x=84x
\\\\\\
1092=91x\implies \cfrac{1092}{91}=x\implies 12=x\qquad \quad \qquad \boxed{AC=156-12}
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Use braces and digits to indicate the set of whole numbers
Sergeeva-Olga [200]

Whole numbers are numbers without decimal points greater than 0.

The set of whole numbers is:

W =\{0,1,2,3,4.....\}

In the introductory part of this solution, I stated that:

  • Whole numbers do not have decimal point
  • The smallest whole number is 0

This means that the following numbers are whole numbers:

1, 9, 10, 67

While the following numbers are not:

-1, 9.0, 1.0, -67

Let W be the set of whole numbers; the set is:

W =\{0,1,2,3,4.....\}

The dots after 4 means the set still continues

Read more at:

brainly.com/question/13106807

4 0
3 years ago
Please walk me through how to solve these problems. If you can only solve one that’s fine, I just don’t know where to start. (Th
Wittaler [7]

Answer:

5,-0.5 is the answer to the fist one

Step-by-step explanation:

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3 0
3 years ago
If f(x) = 3x - 2 then what is f(10)?
babymother [125]

Answer:

f(10) = 3(10) - 2 = 28

Step-by-step explanation:

6 0
3 years ago
X-5y-z=-20<br><br>-2x-y-6z=25<br><br>-x-4y-z=-15<br>Solve by elimination
Tju [1.3M]

Answer:

x = 0

y = 5

z = -5.

Step-by-step explanation:

X-5y-z=-20

-2x-y-6z=25

-x-4y-z=-15

Add equation 1 and 3:

-9y - 2z = -35 .......... A

Multiply the first equation by 2:

2x - 10y - 2z = -40

Now add this to equation 2:

-11y -8z = -15.............B

Now multiply equation A by -4:

36y + 8x = 140.........C

Add equations B and C:

25y = 125

y = 5.

Substitute for y in equation A:

-9*5 - 2z = -35

2z = -45 + 35 = - 10

z = -5.

Now find x by substituting for y and z in the first equation:

x - 5(5) - (-5) = -20

x - 20 = -20

x = 0.

6 0
3 years ago
Sarah buys a video game for $44.00 plus 4% sales tax. Her brother, Jack, buys a video game for $36.00 plus 6% tax. Show your wor
Ipatiy [6.2K]

Answer:

Sarah spent 45.76

Jack spent 38.16

Jack spent more on tax

Step-by-step explanation:

Sarahs game costs:

tax = 44 *.04 = 1.76

Total cost = game + tax

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Jacks game costs:

tax = 36 *.06 = 2.16

Total cost = game + tax

                  = 36 + 2.16

                  =38.16

Jack spent more on tax

4 0
4 years ago
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