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beks73 [17]
2 years ago
12

In the figure shown, what additional information is needed to show that △ABC≅△DEF by ASA?

Mathematics
2 answers:
insens350 [35]2 years ago
7 0

Answer:

The additional information to show ΔABC ≅ ΔDEF by ASA is \overline {AB} ≅ \overline {DE}

Step-by-step explanation:

The given parameters in the figure are;

Angle m∠BAC is congruent to angle m∠FDE

Angle m∠ABC is congruent to angle m∠FED

Therefore, in order to show that ΔABC is congruent to ΔDEF, by the Angle-Side-Angle (ASA) rule of congruency, the additional information is the congruency of the included sides between the given angles as follows;

The additional information to show ΔABC ≅ ΔDEF by ASA is \overline {AB} is congruent to \overline {DE} which can be written as \overline {AB} ≅ \overline {DE}.

zhenek [66]2 years ago
6 0

Answer:

<u>     </u>      ~   <u>        </u>  

AB      =    CD

Step-by-step explanation:

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Answer:

a) 3 b) 5 c) 7 d) 9

Step-by-step explanation:

For this, you want to replace x in the equation y=x+5 with each of the values listed.

For the first one, -2, the equation becomes y=-2+5, which is solved to y=3.

For the second one, 0, the equation becomes y=0+5, which is solved to y=5.

For the third one, 2, the equation becomes y=2+5, which is solved to y=7.

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5 0
2 years ago
Plot the image of D under a dilation about the origin (0,0) with a scale factor of 2
ElenaW [278]

(-6,-4)

If you dilate a point, (c,d) about (a,b) by a scale factor by k. You'll going to subtract each coordinates where the point will be dilated about (a,b) from the point (c,d) and then multiply them by k. This would be the formula if you want: (k(c -a), k(b -d))

Let's say F is the dilation of D about the origin or (0,0) then the x coordinate of F would be

x =  2( - 3 - 0) \\ x = 2( - 3) \\ x =  - 6

This would be the y coordinate of F:

y = 2( - 2 - 0) \\ y = 2( - 2) \\ y =  - 4

Thus the coordinates of F is (-6,-4)

4 0
3 years ago
the final cost of a sale item is determined by multiplying the price on the tag by 75%. which best describes the function that r
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3 years ago
PLEASE HELP DUE IN 30 MINUTES FIND ? AND SHOW YOUR WORK
Ksivusya [100]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
Read 2 more answers
The computers of six faculty members in a certain department are to be replaced. Two of the faculty members have selected laptop
Anettt [7]

Answer:

a. \frac{1}{15}

b. \frac{2}{5}

c. \frac{14}{15}

d. \frac{8}{15}

Step-by-step explanation:

Given that there are two laptop machines and four desktop machines.

On a day, 2 computers to be set up.

To find:

a. probability that both selected setups are for laptop computers?

b. probability that both selected setups are desktop machines?

c. probability that at least one selected setup is for a desktop computer?

d. probability that at least one computer of each type is chosen for setup?

Solution:

Formula for probability of an event E can be observed as:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

a. Favorable cases for Both the laptops to be selected = _2C_2 = 1

Total number of cases = 15

Required probability is \frac{1}{15}.

b. Favorable cases for both the desktop machines selected = _4C_2=6

Total number of cases = 15

Required probability is \frac{6}{15} = \frac{2}{5}.

c. At least one desktop:

Two cases:

1. 1 desktop and 1 laptop:

Favorable cases = _2C_1\times _4C_1 = 8

2. Both desktop:

Favorable cases = _4C_2=6

Total number of favorable cases = 8 + 6 = 14

Required probability is \frac{14}{15}.

d. 1 desktop and 1 laptop:

Favorable cases = _2C_1\times _4C_1 = 8

Total number of cases = 15

Required probability is \frac{8}{15}.

8 0
3 years ago
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