All categories

2 years ago

Daniel wrote the following two-column proof for the given information.

Mathematics

1 answer:

Pavel [41]2 years ago

8 0

The information given about the proof does that Daniel made an error on line 2.

<h3>How to illustrate the information?</h3>

Given:

1. AB = 3x +2; BC = 4x + 8; AC = 38

2. AB + BC = AC incorrect (not an angle angle addition postulate)

3. 3x+2 + 4x + 8 = 38 correct

4. 7x + 10 = 38 correct

5. 7x = 28 correct

6. x = 4

Daniel made an error on line 2.

Here is the complete question:

Daniel wrote the following two-column proof for the given information. Given: AB = 3x + 2; BC = 4x + 8; AC = 38 Prove: x = 4 Statements Reason 1. AB = 3x + 2; BC = 4x + 8; AC = 38 1. Given 2. AB + BC = AC 2. Angle Addition Postulate 3. 3x + 2 + 4x + 8 = 38 3. Substitution Property of Equality 4. 7x + 10 = 38 4. Combining Like Terms 5. 7x = 28 5. Subtraction Property of Equality 6. x = 4 6. Division Property of Equality On which line, did Daniel make his error? line 2 line 3 line 4 line 5

Learn more about proof on:

brainly.com/question/4134755

#SPJ1

You might be interested in

X to the power of 2 subtract 3x for x=4

Helen [10]

First, X^2 while x is 4 =4^2, which is 4x4, which is 16
3X while x is 4 is 12. 16-12=4. So the answer is 4

6 0

3 years ago

Given P(-7,3,-7) and Q(-4,-3,-9), find the midpoint of the segment PQ

Alona [7]

Answer:

The coordinates of the midpoint of the segment are (-5.5,0,-8)

Step-by-step explanation:

In this question, we are tasked with calculating the midpoint of the segment PQ.

To calculate this, we employ the use of a mathematical formula as follows;

The coordinate of the midpoint are = {(x1+x2)/2, (y1+y2)/2 , (z1+ z2)/2}

Thus we have;

{(-7-4)/2, (3-3)/2 , (-7-9)/2} = (-11/2, 0/2, -16/2)

= (-5.5,0,-8)

4 0

3 years ago

Read 2 more answers

How do you do this problem?

zzz [600]

Answer:

x = 125°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180 for x, that is

x = 180° - (30 + 25)° = 180° - 55° = 125°

4 0

3 years ago

Read 2 more answers

Find the orthocenter for the triangle described by each set of vertices.

givi [52]

Answer:

The orthocentre of the given vertices ( 2 , -3.5)

Step-by-step explanation:

Step(i):-

The orthocentre is the intersecting point for all the altitudes of the triangle.

The point where the altitudes of a triangle meet is known as the orthocentre.

Given Points are K (3.-3), L (2,1), M (4,-3)

The Altitudes are perpendicular line from one side of the triangle to the opposite vertex

The altitudes are MN , KO , LP

step(ii):-

Slope of the line

$KL = \frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{1-(-3)}{2-3} = -4$

The slope of MN =

The perpendicular slope of KL

= $\frac{-1}{m} = \frac{-1}{-4} = \frac{1}{4}$

The equation of the altitude

$y - y_{1} = m( x-x_{1} )$

$y - (-3) = \frac{1}{4} ( x-4 )$

4y +12 = x -4

x - 4 y -16 = 0 ...(i)

Step(iii):-

Slope of the line

$LM = \frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{-3-1}{4-2} = -2$

The slope of KO =

The perpendicular slope of LM

= $\frac{-1}{m} = \frac{-1}{-2} = \frac{1}{2}$

The equation of the altitude

$y - y_{1} = m( x-x_{1} )$

The equation of the line passing through the point K ( 3,-3) and slope

m = 1/2

$y - (-3) = \frac{1}{2} ( x-3 )$

2y +6 = x -3

x - 2y -9 =0 ....(ii)

Solving equation (i) and (ii) , we get

subtracting equation (i) and (ii) , we get

x - 4y -16 -( x-2y-9) =0

- 2y -7 =0

-2y = 7

y = - 3.5

Substitute y = -3.5 in equation x -4y-16=0

x - 4( -3.5) - 16 =0

x +14-16 =0

x -2 =0

x = 2

The orthocentre of the given vertices ( 2 , -3.5)

4 0

3 years ago

Find f(2) if f(x) = (x+1)^2

spin [16.1K]

Answer:9

Step-by-step explanation: f(2) ((2)+1)^2

6 0

3 years ago

Read 2 more answers