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Ira Lisetskai [31]
4 years ago
12

Abc is equilateral with AB=3x-2,BC=2x+4, and CA= x+10

Mathematics
1 answer:
yan [13]4 years ago
7 0
AB = BC, so 3x-2 = 2x+4.  Also, BC = CA, so 2x+4=x+10.

Solve this system of linear equations:

3x-2 = 2x+4
2x+4=x+10 => x=6

Check:  Does AB=BC?  Does AB=BC?

Does 3(6)-2 = 2(6)+4?  Does 16=16?  YES.
Does BC = CA?  Does 2(6)+4 = 6+10?  YES

x = 6 (answer)
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Math question down below
Kipish [7]
Answer: 6928

----------------------------------------------------------

Explanation: 

We have two areas we need to find: The area of the trapezoid and the area of the rectangle. Let's call these areas A1 and A2.

Area of Trapezoid = (height)*(base1+base2)/2
A1 = h*(b1+b2)/2
A1 = 80*(150+100)/2
A1 = 80*250/2
A1 = 20000
A1 = 10000

Area of Rectangle = (length)*(width)
A2 = L*W
A2 = 48*64
A2 = 3072

Subtract the two areas (A1-A2) to get the difference D
D = A1 - A2
D = 10000 - 3072
D = 6928

This difference D is exactly equal to the shaded area. 


3 0
3 years ago
The graph represents the piecewise function:
Anna [14]

Answer:

in the attachment

Step-by-step explanation:

Given: Piece-wise function graph.

We need to find the function.

In the graph, we can see a two-piece

For -3≤x≤0

Endpoints on graph (-3,-6) and (0,0)

It is the horizontal line. The equation of the horizontal line is y=k.

Equation: y=3

Now, we write as a piecewise function.

First blank = 2x

Second Blank = 3

hope this helps:)

4 0
2 years ago
What number is 10% of 80
zhuklara [117]

The answer is 8

Hope that helped ^^

5 0
3 years ago
Read 2 more answers
The model is made out of a stack of plywood sheets.Each sheet is 0.6 thick.How many sheets of plywood tall is the model?
NeTakaya
 iwould think 300 pages
3 0
3 years ago
Find the area of a triangle formed by placing the vectors [3, 6] and [7, 1] tail-to-tail.
Usimov [2.4K]

Answer:

a. A=10u^{2}

b. View graph

c. 6.40u

Step-by-step explanation:

knowing that the triangle area is equal to base by heigh between two, then:

A=\frac{bh}{2}=\frac{5*4}{2}=10u^{2}

The length of the longest altitude of your triangle is:

c^{2}=a^{2}+b^{2}=5^{2}+4^{2}=25+16=41\\    c=\sqrt{41}=6.40u

finally it can be seen that the position of the triangle does not matter, as long as the base and heigh are maintained, the area of ​​the triangle will be the same

6 0
3 years ago
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