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Veronika [31]
3 years ago
13

Given: a ∥ b and ∠1 ≅ ∠3

Mathematics
1 answer:
Kaylis [27]3 years ago
3 0

Answer:

Step-by-step explanation:

Answer:

∠1 ≅ ∠2

Step-by-step explanation:

As shown in the figure:

We need to prove e ∥ f using the congruent angle.

So, check the options:

A) ∠2 ≅ ∠4 ⇒ (Wrong)

B) ∠1 ≅ ∠2 ⇒ (True) because a ∥ b (Given)

C) ∠2 ≅ ∠3 ⇒ It is required to prove that to prove e ∥ f , it can't be used.

D) ∠1 ≅ ∠4 ⇒  (Wrong)

The complete sentence will be:

We see that ∠1 ≅ ∠2 by the alternate exterior angles theorem.

Therefore, angle 2 is congruent to angle 3 by the transitive property.

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=4(x²-17/4x)-42
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4 years ago
A pool with 8000 Litters of water holdw how many KiloLetters of water please help me porfavor ayúdenme
Arte-miy333 [17]
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6 0
4 years ago
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A rectangular prism has a length of 1 1/2 meters, a width of 3 meters, and a height of 5 1/2 meters. Enter the volume of the pri
ArbitrLikvidat [17]
----------------------------------------
Formula
----------------------------------------
Volume = Length x Width x Height

----------------------------------------
Find Volume
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\text {Volume = } \frac{99}{4}

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3 years ago
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4 years ago
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(A) Which is the equation of Line b? 1. y=−14x+54 2. y=4x+3 3. y=x+5441 4. y=4x−3
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Check the picture below.

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\bf (\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{1}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{(-3)}}}\implies \cfrac{-1}{1+3}\implies -\cfrac{1}{4}

\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{-\cfrac{1}{4}}[x-\stackrel{x_1}{(-3)}]\implies y-2=-\cfrac{1}{4}(x+3) \\\\\\ y-2=-\cfrac{1}{4}x-\cfrac{3}{4}\implies y=-\cfrac{1}{4}x-\cfrac{3}{4}+2\implies y=-\cfrac{1}{4}x+\cfrac{5}{4}

7 0
3 years ago
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