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Georgia [21]
3 years ago
5

What coordinate for F would make triangle ABC and triangle DEF congruent? (The file of the image is attached!)

Mathematics
2 answers:
DerKrebs [107]3 years ago
5 0
(-2,-3) would make these two triangles congruent.

If you look at the slope of line DE, you see it has a -1 slope.
Line BA also has a -1 slope.
So line AC = line FE and line BC = line FD

The slope of AC is 3
The slope of BC is 1/3
Two possible points for F are (2,1) and (-2,-3)
Since (2,1) is not an option, C. (-2,-3) is your answer.
mamaluj [8]3 years ago
4 0
(-2,-3) The x and y coordinates are the opposites of the original shape's coordinates.

Ex) Point B matches up with Point E. Point B coordinates are (-1,2). And Point E coordinates are (1,-2). opposite of -1 is 1 and opposite of 2 is -2.
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10. In the figure below, ABCD is a square. DEFC, BCGH and AEFB are all
zysi [14]

Answer:

a) As sides of squares are always equal.

So,

BC=CD

2b+CF=a+b

CF= a+b-2b

CF= a-b

b) Area of rectangle CDEF= CDxCF

=(a+b)(a-b)

=(a²-b²)

Hope it helps :-)

6 0
3 years ago
Ribbon is sold by the foot. If Heather is making 84 bows, ​how many feet​ of ribbon must she buy?
Anuta_ua [19.1K]

Answer:

84 feet of ribbon is needed

Step-by-step explanation:

Given : Ribbon is sold by the foot. If Heather is making 84 bows, ​how many feet​ of ribbon must she buy?

Explanation :  If ribbon is sold by the foot, then if Heather is making 84 bows, then Heather would need 84 feet

To put in simple terms - 1 bow needs 1 foot of ribbon

7 0
3 years ago
Write and solve a system of equations that represents each situation.
kotegsom [21]
(7+x)+x=15
I did trial and error to get x=4.
4 0
3 years ago
How did you decide which make a ten fact to use? Explain
s2008m [1.1K]
If you are asking when you divide ten into a number, remember this, anything that ends with a 0, it is divisible by 10.
8 0
3 years ago
There are 15 students in the 8th grade. The students are randomly placed into three different algebra classes of 5 students each
xeze [42]

Answer:

The probability is   \frac{6}{91} ≅ 0.0659

Step-by-step explanation:

Let's analyze the question.

There are 15 students in the 8th grade.

The students are randomly placed into three different algebra classes of 5 students each.

We are looking for the probability that Trevor, Terry and Evan will be in the same algebra class.

One possible way to solve this question is to think about the product probability rule.

We can use it because we are in an equiprobable space. (And  also the events are independent).

Let's set for example a class for Evan.

The probability that Evan will be in a class is 1

Then for Terry there are 4 places out of 14 that puts Terry in the Evan's class.

We write 1.\frac{4}{14}

Finally for Trevor there are 3 places out of the remaining 13 that puts Trevor in the same class with Evan and Terry.

Using the product rule we write :

1.\frac{4}{14}.\frac{3}{13}=\frac{6}{91}

The probability of the event is \frac{6}{91} ≅ 0.0659

5 0
3 years ago
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