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valkas [14]
3 years ago
9

Explain the connection between ∠2 and ∠B.

Mathematics
2 answers:
liraira [26]3 years ago
7 0

Answer:

∠2 ≅ ∠B

Step-by-step explanation:

Let the triangle be ABC,

Given that,

∠A = 50°

∠C = 65°

Using angle-sum property of the triangle,

∠A + ∠B + ∠C = 180°

50° + ∠B  + 65° = 180°

∵ ∠B = 65°         ...(i)

A.T.Q.

Two horizontal lines are extended making 3 angles. Two angles out of them are 50° and 65°.

Since the adjacent angles comprising a straight line is equals to 180°.

so,

∠2 + 50° + 65° = 180°

∠2 + 115° = 180°

∠2 = 180° - 115°

∵ ∠2 = 65°   ...(ii)

Using (i) and (ii),

∠2 ≅ ∠B

Therefore, ∠2 and ∠B are congruent to one another.

Savatey [412]3 years ago
7 0

Answer: Sample Response: The sum of the measures of the interior angles of a triangle is 180°. m∠B + 50 + 65 = 180, so m∠B = 65°. The sum of adjacent angles forming a straight line is also 180°. m∠2 + 50 + 65 =180, so m∠2 = 65°. The angles are congruent.

Step-by-step explanation: its the sample response

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3 years ago
What is the common ratio of this one?
Furkat [3]

Answer:

1/4

Step-by-step explanation:

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Dividing by a number is the same as multiplying by that 1/number.

So the common ratio here is 1/4.

This is a geometric sequence since you are able to find all the terms in this sequence by multiplying 1/4 to it's previous term.

Examples:

160(1/4)=40

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3 years ago
Please help and explain step by step​
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Answer:

92 cm

Step by step explanation:

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secondly:

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Alex_Xolod [135]

Let's solve this by substitution.


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Find y by subst. -5 for x in the 2nd equation: y = (1/3)(-5) + 7

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4 0
3 years ago
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