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Scilla [17]
3 years ago
11

Use the figure from the example to find the length GH. Assume △DEF ≅ △GHJ.

Mathematics
1 answer:
grandymaker [24]3 years ago
8 0
The two triangles are congruent, so corresponding parts of the two triangles are congruent.
GH is corresponding to DE, so GH=DE=17
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Two 6-sided dice are rolled. what is the probability that the sum of the two numbers on the dice will be greater than 9?
AVprozaik [17]
What combination of numbers are needed in order to get a sum of 9?
        It can be:
             •  First die is 6 , second die is 3 
             •  First die is 3 , second die is 6
             •  First die is 4 , second die is 5
             •  First die is 5 , second die is 4

How many possible combinations are made? Yep, 4 possible combinations.

Recall the formula for probability
       Probability =   \frac{Number of desired outcomes}{Number of all possible outcomes}

There are 4 desired number of outcomes.
How about the total possible outcomes?
     • How many numbers are possible to appear when the first die is rolled?
        Answer: 6
     • What about the second die?
        Answer: Also 6
     • Therefore, total possible outcomes = 6 * 6 = 36 outcomes

You can now solve for the probability.

      Probability = \frac{4}{36} =  \frac{1}{9} or approximately 11.11%
3 0
3 years ago
Use substitution to solve the system of equations.<br> x-2y=1<br> 3x-6y=3
Ivahew [28]
Change first equation
x - 2y = 1
add 2y to both side
x = 2y + 1
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3(2y+1) - 6y = 3
Distributive property
6y + 3 - 6y = 3
y = 0, plug into first equation
x - 2(0) = 1, x = 1
Solution: x = 1, y = 0
7 0
3 years ago
When drawing the arcs in order to bisect a line segment, why must the width of the compass be more than half of the length of
Aleonysh [2.5K]

Answer: Choice A

If the compass isn't open wide enough, then the arcs won't intersect forming the points we need to create the perpendicular bisector.

Check out this link to see my response to the identical question answered 2 days ago

brainly.com/question/17191122

feel free to ask any questions you have if you're still stuck

8 0
3 years ago
What is the product of an integer of and -1?
Alchen [17]

Answer:

-1

Step-by-step explanation:

7 0
4 years ago
What is the ratio 15 inches to 6 feet as a fraction in simplest form?
Natalka [10]

Answer: 5/2

Step-by-step explanation: Both 15 and 6 can be divided by 3, which turns 15 into 5 and 6 into 2, giving you 5/2

5 0
4 years ago
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