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polet [3.4K]
3 years ago
15

Given: angle BCA and angle DCA are right angles; Segment BC and segment CD are congruent

Mathematics
1 answer:
loris [4]3 years ago
6 0

Answer:

∠ ABC = ∠ ADC proved

Step-by-step explanation:

Between the triangles Δ BCA and Δ DCA,

(i) CA side is common for both the triangles.

(ii) ∠ ACB = ∠ ACD = 90° {Since Δ BCA and Δ DCA are right triangles}

(iii) Segment BC = Segment CD {Given}

Therefore, from Side-Angle-Side rule  Δ BCA ≅ Δ DCA.

Therefore, ∠ ABC = ∠ ADC {Since they are corresponding angles of  Δ BCA and Δ DCA. (Proved)

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Step by step explanation please so I can see how to do it
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Answer:

875 units

Step-by-step explanation:

35/5=7 AD and BC =7

25/5=5 the ratio of the to rect are 5

7(5)=35 EH and FG =35

25(35)=875

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4 years ago
A fisherman rows his boat toward a town 17 miles upstream. Each day he rows the boat 6 miles upstream, and each night the boat d
Phoenix [80]

The fisherman reaches the town on 4th day.

<u>SOLUTION: </u>

Given, A fisherman rows his boat toward a town 17 miles upstream.  

Each day he rows the boat 6 miles upstream, and each night the boat drifts back 2 miles.  

We have to find If this pattern continues on which day will he reach the town?

Now, after 1st day distance between him and town = 17 – 6 = 11 miles

And after that night, distance = 11 + 2 = 13 miles

Now, again after 2nd day, distance = 13 – 6 = 7 miles  

And after that night, distance = 7 + 2 = 9 miles  

Now, again after 3rd day, distance = 9 – 6 = 3 miles

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Here, - 1 miles means that he already reached the town.

Hence, the fisherman reaches the town on 4th day

5 0
3 years ago
A pizza box measures 16 by 16 inches by 2 inches. What is the volume of the box
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<span>volume = length * width * height = 16 * 16 * 2 = 512 in</span>³
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4 years ago
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Answer:

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Step-by-step explanation:

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3 0
3 years ago
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