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Leya [2.2K]
3 years ago
7

A student solved the following problem and made an error: Triangles ABC and DEF. Angles A and F are congruent and measure 135 de

grees. Coordinates for the vertices are at A 0, 2 and B 2, 4 and C 0, 0 and D 2, 0 and E 4, 4 and F 4, 2. Line 1 Segment AC equals 2. Segment FE equals 2. Segment AC is congruent to segment FE Line 2 ∠A ≅ ∠F Line 3 Length of segment AB. A (0, 2) B (2, 4) d equals square root of quantity x sub 2 minus x sub 1 squared plus quantity y sub 2 minus y sub 1 squared, d equals square root of quantity 0 minus 2 all squared plus quantity 2 minus 4 all squared, d equals square root of negative 2 squared plus negative 2 squared, d equals square root of 4 plus 4, d equals square root of 8 segment AB = 2.83 Line 4 Length of segment DE. D (2, 0) E (4, 4) d equals square root of quantity x sub 2 minus x sub 1 squared plus quantity y sub 2 minus y sub squared, d equals square root of quantity 2 minus 4 all squared plus quantity 0 minus 4 all squared, d equals square root of negative 2 squared plus negative 4 squared, d equals square root of 4 plus 16, then d equals square root of 20 segment DE = 4.47 Line 5 segment AB is congruent with segment DE Line 6 triangle ABC is congruent with triangle FDEby SAS In which line did the student make the first mistake? Line 2 Line 5 Line 3 Line 4
Mathematics
1 answer:
nignag [31]3 years ago
7 0

The first false statement in the proof as it stands is in Line 5, where it is claimed that a line of length 2.83 is congruent to a line of length 4.47. This mistake cannot be corrected by adding lines to the proof.

_____

The first erroneous tactical move is in Line 4, where the length of DE is computed, rather than the length of FD. This mistake can be corrected by adding lines to the proof.

A correct SAS proof would use segment FD in Line 4, so it could be argued that the first mistake is there.

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Jerald jumped from a bungee tower. If the equation that models his height, in feet, is h = –16t2 + 729, where t is the time in s
Veseljchak [2.6K]
I believe it isssssss 6.5 
5 0
3 years ago
H(x)=4x+3 what is the coordinate pair for h (1) ?
marysya [2.9K]

Answer:

(1,7)

Step-by-step explanation:

SImply replace x by (1) in the expression to find the value of h:

h(1) = 4 (1) + 3 = 4 + 3 = 7

so for x = 1, h is 7 , which is written as: (1, 7)

8 0
3 years ago
On weekends a movie ticket costs $10.50. form an inequality and solve it to find the maximum number of tickets kate can buy with
Greeley [361]

$10.50

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$105.00 - $10.50 = $94.50 so 9 Tickets would be $94.50

$105.00 + $94.50 = $199.50

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3 0
2 years ago
Given AB=10cm, CD=11cm, and AD=39cm, find the length of BC
liraira [26]

<u>Answer:</u>

BC = 18 cm

<u>Step-by-step explanation:</u>

As we can see from the diagram:

AB + BC + CD = AD

⇒ 10 cm + BC + 11 cm = 39 cm

⇒ BC + 21 cm = 39 cm

⇒ BC = 39 cm - 21 cm

⇒ BC = 18 cm

7 0
2 years ago
Assume the radius of a circle is
Lisa [10]

Answer:

Step-by-step explanation:

They want you to see how radius is important.  Just remember that one radian is one radius,  that should help  you see why radius is important.

They ask for the unit circle ,  that is a circle of one unit for the radius,  which makes it super easy to calculate things for it,  they ask what is the area, which is that famous formula, πr^{2} ,  then they ask what's its circumference.  which is that other famous formula  2πr

so to go all the way around a circle of one unit radius,  it's  2π  exactly or about 6.28..... units,   call it meters, or feet or inches, it doesn't mater here.

the size of the circle doesn't matter here either,  b/c we are using the radius ,  that relaationship doesn't change ,  all circles,  what ever size , have this same relationship between the radius and radians.    :P  this is handy.  

7 0
2 years ago
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