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fenix001 [56]
3 years ago
12

Create a two-column proof:

Mathematics
1 answer:
Step2247 [10]3 years ago
5 0

Answer:

Proved with RHS congruency rule.

Step-by-step explanation:

Given ΔEAB and ΔDCB are two right triangles. The figure has ∠BED≅ ∠BDE. Point B is the midpoint of segment AC.

We have to prove that ΔEAB ≅ ΔDCB

In ΔEAB and ΔDCB

BE=BD   (∵∠BED≅ ∠BDE)

AB=BC    (given B mid-point)

By RHS congruency rule which states that two right triangles are congruent if the hypotenuse and one side of triangle are respectively equal to the hypotenuse and the corresponding side of the other triangle.

Hence, By RHS rule

ΔEAB ≅ ΔDCB

Hence Proved.

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Step-by-step explanation:

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3 years ago
Brian invests £1800 into his bank account.
SVEN [57.7K]

Step-by-step explanation:

\underline{ \underline{ \text{Given}}} :

  • Principal ( P ) = £ 1800
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  • Time ( T ) = 3 years

\underline{ \underline{ \text{To \: find}}} :

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\underline{ \underline{ \text{Solution}}}:

First , finding the amount of interest :

\boxed{ \sf{Interest =  \frac{PTR}{100}}}

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Now , Finding the total amount :

\boxed {\sf{Total \: amount = Principal + Interest}}

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Hope I helped ! ♡

Have a wonderful day / night ! ツ

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6 0
3 years ago
3. A square metal plate has a density of 10.2 g/cm3 and weighs 2.193 kg.
MakcuM [25]

Answer:

215 cm³

8.6 cm

Step-by-step explanation:

given,

density = 10.2 g/cm³

mass = 2.193 kg = 2193g

a. Volume = mass / density

=2193 / 10.2

= 215 cm³

b. given that base area = 25cm²

volume = base area x thickness

thickness = volume / base area

= 215 / 25

= 8.6 cm

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3 years ago
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50-5= 45
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