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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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Which is an ordered pair on the line 2.5,14 2.25,12 1.25,5 1.5,9
Savatey [412]
I would think that all but one point would be on the line.  One way to approach this problem is to find the equation of the line based upon any two points chosen at random, and then determine whether or not the other points satisfy this equation.  Next time, would you please enclose the coordinates of each point inside parentheses:  (2.5,14), (2.25,12), and so on, to avoid confusion.
                                                               14-12
slope of line thru 1st 2 points is   m = ----------------  =  2/0.25 = 8
                                                              2.50-2.25

What is the eqn of the line:     y = mx + b becomes

                                               14 = (8)(2.5) + b; find b:

14-20 = b = -6.  Then,   y = 8x - 6.

Now determine whether (12,1.25) lies on this line.  

Is 1.25 = 8(12) - 6?  Is 1.25 = 90?  No.  So, unless I've made arithmetic mistakes, (1.25, 5) does not lie on the line thru (2.5,14) and (2.25,12).

Why not work this problem out yourself using my approach as a guide? 



5 0
3 years ago
A water polo team threw a pizza party after winning the championship. They needed enough pizza for 72 people. Each pizza serves
Taya2010 [7]

Answer: 204 dollars in total

Step-by-step explanation: There are 72 people, and each serving serves six people. 72 divided by 6 =12.

12x17 equals $204

Hope this helped!

7 0
2 years ago
Which of the following are steps to use when formulating all that apply equation? Check an A. Write each fact as a variable expr
kramer

Answer:

a

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
from a group of 7 people, you randomly select 2 of them. what is the probability that they are the 2 of the oldest people in the
spayn [35]

Answer:

1/21

Step-by-step explanation:

3 0
3 years ago
The front of a garage needs to be painted. The total area except for the door will be painted. The door is 1.5 m high and 2 m wi
Sever21 [200]

Answer:

The answer for A is 7.85m^{2}.

The answer for B is <em>4 cans. </em>

The answer of C is <em>$98.</em>

Step-by-step explanation:

A-

Multiply 2.5 by 3.5 and you'll get 8.75 Multiply 3.5 by 1.2 and you'll get 4.2; divide and your answer will be 2.1  Add to 8.75 Get 10.85 Subtract from area of door ( 3m because 1.5 times 2 is 3) and you'll get 7.85

B-

Divide 7.85 by 2.5 and you'll get 3.104; round that and you'll get 4 cans.

C-

Multiply the amount of cans (4) by 24.5. Do this and you'll get $98.

                                   Hope this was helpful!!!

8 0
3 years ago
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