5. It is known that AABC = ADEF. If AB = 5, BC = 10, AC = 8, and DF = 2x-6, then solve for the value of
1 answer:
Answer:
The value of x is 7
Step-by-step explanation:
we know that
If two figures are congruent, then the corresponding angles and the corresponding sides are equal
In this problem
Triangles ABC and DEF are congruent
ABC≅DEF
therefore
AB=DE ----> equation A
AC=DF ----> equation B
BC=EF ----> equation C
Substitute the given values in the equation B
Solve for x
therefore
The value of x is 7
The draw in the attached figure
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The partial blueprint of a house that includes 3 bedrooms is shown below. The scale is 2.75 inches : 3 feet. What is the actual length and width of Bedroom 3 in feet?
Bedroom 1 w=9.17; l= 11 in
Bedroom 2 w=7.33 in; l= 12.83
Bedroom 3 w= 11 in; l= 14.67 in
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2.75 inches : 3 or 2.75 in / 3 feet
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Can you see the updates?
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Bedroom 3 w= 11 in; l= 14.67 in
11 in * 3 feet / 2.75 in = 12 feet
14.67 in 3 feet / 2.75 in = 16 feet
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Answer
Bedroom 3 w= 12 ft ; l= 16 ft
