5. It is known that AABC = ADEF. If AB = 5, BC = 10, AC = 8, and DF = 2x-6, then solve for the value of
1 answer:
Answer:
The value of x is 7
Step-by-step explanation:
we know that
If two figures are congruent, then the corresponding angles and the corresponding sides are equal
In this problem
Triangles ABC and DEF are congruent
ABC≅DEF
therefore
AB=DE ----> equation A
AC=DF ----> equation B
BC=EF ----> equation C
Substitute the given values in the equation B
Solve for x
therefore
The value of x is 7
The draw in the attached figure
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Probability helps us to know the chances of an event occurring. The probability of pulling a green or red card is 9 / 100.
<h3>What is Probability?</h3>Probability helps us to know the chances of an event occurring.
P =
The probabilities of different color cards being pulled are 1/25 for red, 1/20 for green, 1/15 for purple, and 1/10 for black Therefore, the probability of pulling a green or red card is,
Probability = 1/20 + 1/25
= (5 + 4) /100
= 9 / 100
Hence, the probability of pulling a green or red card is 9 / 100.
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Answer:
or
Step-by-step explanation:
Note that .
Also, note that .
So, the inequality is really equal to .
We can then add to both sides to get
.
So, the solution is , or in interval notation,