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brilliants [131]
3 years ago
13

∆ABC is a right angled at B and D is a point on BC if AD = 18cm BD = 9cm and CD =4cm Find AC

Mathematics
1 answer:
Gemiola [76]3 years ago
3 0

In triangle, ABD,

AD²= AB²+BD²

AB² = AD²-BD²

AB² = 18²-9² = 324-81 = 243

AB = √243

In triangle, ABC,

AC² = AB²+BC²

AC² = (√243)²+(13)²

AC² = 243+169

AC = √412

AC = 20.29

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Solve:<br><br><br> 3-x+1=2<br><br><br><br> Thank youuuu ‍♀️
timurjin [86]

Answer:

<h2>x = 2</h2>

Step-by-step explanation:

3 - x + 1 = 2              <em>combine like terms</em>

-x + (3 + 1) = 2

-x + 4 = 2           <em>subtract 4 from both sides</em>

-x  +4 - 4 = 2 - 4

-x = -2                 <em>change the signs</em>

x = 2

5 0
3 years ago
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△ABC ≅ △DEF, EF = x 2 - 7, and BC = 4x - 2.
Artist 52 [7]

Answer:

Therefore the value of x is 5.

Step-by-step explanation:

Given:

△ABC ≅ △DEF,

EF = x 2 - 7, and

BC = 4x - 2.

To Find:

the values of x. = ?

Solution:

△ABC ≅ △DEF      ........Given

If two Triangles are congruent then the Corresponding Parts of Congruent Triangles are Congruent.

∴ BC ≅ EF   ...................CPCTC

Substituting the values we get

4x-2=x^{2}-7\\x^{2}-4x-5=0

Now By Factorizing we get

x^{2}-5x+x-5=0\\x(x-5)+1(x-5)=0\\(x+1)(x-5)=0\\x+1=0\ or\ x-5=0\\x=-1\ or\ x=5\\x\ cannot\ be\ negative\\\therefore x=5

Therefore the value of x is 5.

8 0
4 years ago
Please i need help i will mark you brill
Furkat [3]

Answer:

the answer to your question is

2n + 20

4 0
3 years ago
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Can someone please explain y=mx+b
lana [24]

y=mx+b is slope-intercept form, which is a way of writing an equation for a line.

In this equation, m represents the slope and b represents the y-intercept.

x and y are the coordinates of a point on the resulting line.

Here are some examples:

y=3x+2

y=-2x-4

y=8x-1

y=-7x+5

7 0
3 years ago
Please help i will give 10 points
lapo4ka [179]

Answer:

21 feet²

Step-by-step explanation:

To find the area of a composite figure, we can break the shape into pieces and solve for the area separately.

There are multiple ways to separate the figure, but for this explanation we will break it into two rectangles, 5×3 and 3×2.

The area of a rectangle can be found by multiplying the length and width of the shape. So for the left rectangle, we will multiply 5 by 3.

5 · 3 = 15

The area of our first rectangle is 15 ft².

Next, we will find the area of the right rectangle, by multiplying 3 by 2.

3 · 2 = 6

The area of the second rectangle is 6 ft².

Now we can add the areas, 15 and 6, together to find the total area.

15 + 6  = 21

The area of the figure is 21 ft².

I hope this helps ^^ Good luck ∩_∩

3 0
3 years ago
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