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1 year ago

Two parallel lines are cut by a transversal, as shown below. Solve for b. Then explain your reasoning.

Mathematics

2 answers:

AleksandrR [38]1 year ago

5 0

Answer:

b=14

Step-by-step explanation:

the two labeled angles are vertical angles. according to the vertical angles theorem, they must be equivalent. therefore, we can set them equal to each other and solve.

5b=b+56

4b=56

b=14

GarryVolchara [31]1 year ago

3 0

5b=b+56
4b=56
b=14
The two angles are congruent by vertical angles. Set them equal and solve for b.

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2 years ago

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Goshia [24]

Answer with Step-by-step explanation:

We are given that

P(A)=0.4 and P(B)=0.7

We know that

$P(A)+P(B)+P(A\cap B)=P(A\cup B)$

We know that

Maximum value of $P(A\cup B)$ =1 and minimum value of $P(A\cup B)$ =0

$0\leq P(A\cup B )\leq 1$

$0\leq P(A)+P(B)-P(A\cap B)\leq 1$

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$0\leq 1.1-P(A\cap B)\leq 1$

$0\leq 1.1-P(A\cap B)$

$P(A\cap B)\leq 1.1$

It is not possible that $P(A\cap B)$ is equal to 1.1

$1.1-P(A\cap B)\leq 1$

$-P(A\cap B)\leq 1-1.1=-0.1$

Multiply by (-1) on both sides

$P(A\cap B)\geq 0.1$

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$-P(A\cap B)\geq -1.1+0.7=-0.4$

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3 years ago

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Answer:

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Step-by-step explanation:

Maybe you want 2^(4/5) in radical form.

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Answer:

Step-by-step explanation:

hello :

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