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Blizzard [7]
3 years ago
6

What is the area of triangle ABC?

Mathematics
1 answer:
miskamm [114]3 years ago
8 0

Answer:

<h2>7 square units</h2>

Step-by-step explanation:

As you can observe in the image attached, we know the coordinates of each vertex of the triangle.

To find the area using only its vertex coordinates, we need to use the following formula

A=\frac{1}{2}[x_{1}(y_{2} -y_{3}+x_{2}(y_{3} -y_{1} )+x_{3}(y_{1}-y_{2}  )   )

Where the coordinates are

A(1,1)\\B(4,0)\\C(3,5)

Replacing coordinates, we have

A=\frac{1}{2}[1(0 -5)+4(5 -1 )+3(1-0  )  ]\\A=\frac{1}{2} [-5+16+3]=\frac{1}{2}(14)\\ A=7

Therefore, the area of the triangle is 7 square units. So, the right answer is the second choice.

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Step-by-step explanation:

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Rayshawn has a certain amount of money if he spends $20 then he has 1/3 of the original amount how much money did Rayshawn have
erik [133]

Answer:

Rayshawn originally had $30.

Step-by-step explanation:

i) Rayshawn has a certain amount of money. Let us say this amount is $x.

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iii) it is also given that amount of money left after spending $20 is \dfrac{1}{3} of the original amount, $x, the amount remaining is \dfrac{\$x}{3}.

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7 0
3 years ago
(FIRST CORRECT FOR BRAINIEST) Solve for x
Katyanochek1 [597]

Answer:

x = 12

Step-by-step explanation:

Angles in a triangle add up to equal 180 degrees

Hence, 10x - 11 + 3x - 2 + 3x + 1 = 180

( note that we just created an equation that we can use to solve for x )

we now solve for x using the equation we created

10x - 11 + 3x - 2 + 3x + 1 = 180

step 1 combine like terms

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we now have 180 = 16x - 12

step 2 add 12 to each side

- 12 + 12 cancels out

180 + 12 = 192

we now have 192 = 16x

step 3 divide each side by 16

16x / 16 = x

192 / 16 = 12

we're left with x = 12

4 0
3 years ago
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diamong [38]
Divide 10 by 25, which would get you 4. Move the decimal over two to the left, because you wanted a percentage.

Jenny gave away 40% of the roses.
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3 years ago
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