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irina1246 [14]
3 years ago
6

Triangle DEF is congruent to right triangle GHI with a right angle at vertex H. If the slope of DE is –2, what must be true?

Mathematics
2 answers:
spayn [35]3 years ago
4 0
The order of the letters is very important when we explain the congruence of two triangles.

<span>Triangle DEF is congruent to right triangle GHI means that the following pairs of angles are congruent:

{D, G}, {E, H}, and {F, I}, according to the order of the letters. Thus, in triangle DEF, E is a right angle.

This means that the line segments </span>\overline{DE} and \overline{EF} are perpendicular. 

As we know that the product of the slopes of 2 perpendicular lines (or line segments) is -1, and since the slope of the side DE is -2, then the slope of the side EF must be -1/(-2)=1/2. 

Since the sides EF and HI are congruent according to our discussion above, then, the slope of the side HI is also 1/2.


Answer: A and B
Alecsey [184]3 years ago
3 0

Answer:


Step-by-step explanation:

there is no a or b

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7
emmainna [20.7K]

It has a 0.6-mile-per-minute speed limit.

<h3>What is the distance?</h3>

Distance is defined as the product of speed and time.

Given that the distance traveled in 3 seconds is 3/100 miles.

To determine the distance it can travel in 1 minute.

We must first determine the distance traveled in 1 second in order to get the distance traveled in 1 minute.

It can cover 3/100 miles in 3 seconds.

So, in 1 second it can travel = 3/(100)(3) = 1/100 miles.

Now, We know that there are 60 seconds in a minute.

Thus, it can travel in a minute.

⇒ (1/100) × 60

⇒ 60/100

⇒ 6/10

⇒ 0.6 mile

Hence, It has a 0.6 mile per minute speed limit.

Learn more about distance here:

brainly.com/question/13269893

#SPJ1

8 0
2 years ago
Ming has a goal to jog 4 1/2 mile each day. On Monday she jogged 5 9/16 miles. By how much did she exceed her goal for that day?
Darya [45]

5 9/16 - 4 1/2= 1 1/16

I got this because you have make the fractions denomenators equal to subtract them. Once you find how to make them equal you need to mutiply the top numbers the same as the bottom so you can make the new fractions that are equal to the ones before. Then you subtract them and the wholes as well. LOOK BELOW.....

9 x1 9

_ = _

16 x1 16

1 x8 8

_ = _

2 x8 16

9/16-8/16= 1/16 of extra miles

5-4=1 of extra miles

1 and 1/16 of extra miles on monday

5 0
3 years ago
A burglar trying to eascape police got on the elevator in a tall building he went up 8 floors down 4 floors up 3 floors down 7 f
Shtirlitz [24]
X+8-4+3-7-2=20
x-2=20
x = 22
3 0
4 years ago
What expression is equivalent to 3(x+4)^2
eimsori [14]

Hello there,

Well we are given with 3(x + 4)² and we need to simplify this expression...

  1. write out the expression: 3(x + 4)(x + 4)
  2. then we distribute the parentese: 3(x² +4x +4x +16)
  3. combine like terms: 3(x² + 8x + 16)
  4. distribute the 3 in the parentese: 3x² + 24x + 48

So another way to express this would be 3x² + 24x + 48.

Hope I helped,

Amna

8 0
3 years ago
What is 2074 as a percent?
Gnoma [55]

Answer:

207400%

Step-by-step explanation:

Look at the decimal number 2074 as 2074 out of one. Furthermore, percent means per hundred. So the task is to convert 2074 out of one to 2074 out of one hundred.

The equation to solve the problem is displayed below where x is the 2074 as a percentage.

   

2074

/1

   =  

x

/100

 

Please mark brainliest if correct and have a blessed day!

   

We solve the equation for x above by first multiplying each side by one and then multiplying each side by one hundred. Thus, the answer to 2074 as a percentage is:

207400%

4 0
3 years ago
Read 2 more answers
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