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Rainbow [258]
3 years ago
8

ABCD∼EFGH

Mathematics
1 answer:
fomenos3 years ago
7 0
1. For similar triangles, the ratio of the corresponding sides is constant.
In this case, AD corresponds to EH, while AB corresponds to EF.
Therefore; AD/EH = AB/EF
  45/75 = 30/ EF
        EF = (30×75)/45
             = 50 in

2. Triangle DEF is not congruent ABC.
For congruent triangles; if three pairs of sides are equal in length, then the triangles are congruent. Also triangles are congruent if two pairs of angles of the triangle are equal in measurement, and the included sides are equal in length, then the triangles are congruent. 

3. Triangle ABC is rotated 90° clockwise, and then reflected over the line y=x to form triangle DEF. This description is Congruent.
Triangle ABC is reflected over the x-axis, and then dilated by a factor of 12 to form triangle DEF. Description not congruent
Triangle ABC is rotated 180° , and then translated 4 units down and 2 units right to form triangle DEF. The description is Congruent

4. A point (-1,10) is rotated 90° counterclockwise about the origin.
The resulting coordinates of the image is (-10,-1)
A rotation through 90 about the origin is anticlockwise (counter clockwise direction)



             

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9.3-t=-1.6 what is the value of t?
vovangra [49]

Answer:

t = 10.9

Step-by-step explanation:

9.3-t=-1.6

Subtract 9.3 from each side

9.3-t-9.3=-1.6-9.3

-t =-10.9

Multiply each side by -1 to find t

t = 10.9

8 0
3 years ago
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Use completing the square to solve the equation x^2+16x=-44.
Sidana [21]

Step-by-step explanation:

our equation is x²+16x = -44

  • x²+16x= -44
  • x² is the first term so weill have in the middle 2*x* a number
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  • x²+2*x*8+64 = -44+64
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Now that we have completed the perfect square let's solve the equation

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  • x = -8+\sqrt{20} or x =  -8- \sqrt{20}

so the first answer is the correct one

64; 8 +/- \sqrt{20}

7 0
3 years ago
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Answer:

55x

Step-by-step explanation:

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baherus [9]

Answer:

B

Step-by-step explanation:

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