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Llana [10]
3 years ago
11

Find the x-intercept and write it as an ordered pair 4x-20=5y

Mathematics
2 answers:
STatiana [176]3 years ago
5 0
The x-intercept is (5,0)
horsena [70]3 years ago
3 0
To find x intercept: y = 0 4x + 5(0) = 20 4x = 20 x = 20/4 x = 5 (5,0) 
To find y intercept: x = 0 4(0) + 5y = 20 5y = 20 y = 20/5 y = 4 (0,4) 
Ordered Pairs: (5,0) and (0,4)
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An equivalent statement will be if lines L and K intersect, then they are not parallel.

<h3>Parallel lines</h3>

Parallel lines are lines that do not meet. The angle between the parallel lines is 0 degrees

The statement if line L is parallel to line K, then they will never intersect is true and an equivalent statement will be if lines L and K intersect, then they are not parallel.

This is determined using the contrapositive statements

Learn more on parallel lines here: brainly.com/question/24607467

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Given △RST≅△LMN, m∠R=65°, and m∠M=70°, what is the measure of ∠T?
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2 years ago
Two dice are rolled. Use the complement rule to find that the probability that the sum of the dice is less than 10.
Katarina [22]

Answer:

\dfrac{5}{6}

Step-by-step explanation:

When two dice are rolled, the sample space is

\begin{array}{cccccc}(1,1)&(1,2)&(1,3)&(1,4)&(1,5)&(1,6)\\(2,1)&(2,2)&(2,3)&(2,4)&(2,5)&(2,6)\\(3,1)&(3,2)&(3,3)&(3,4)&(3,5)&(3,6)\\(4,1)&(4,2)&(4,3)&(4,4)&(4,5)&(4,6)\\(5,1)&(5,2)&(5,3)&(5,4)&(5,5)&(5,6)\\(6,1)&(6,2)&(6,3)&(6,4)&(6,5)&(6,6)\end{array}

In total, 36 outcomes

First, find the probability that the sum is 10 or greater:

All favorable outcomes

10: (4,6),\ (5,5),\ (6,4)

11: (5,6),\ (6,5)

12: (6,6)

In total, 6 outcomes.

The probability that the sum is 10 or greater is

P(A)=\dfrac{6}{36}=\dfrac{1}{6}

Use the complement rule to find that the probability that the sum of the dice is less than 10:

P(A^C)=1-P(A)=1-\dfrac{1}{6}=\dfrac{5}{6}

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