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3 years ago

How can I solve this proof?? PLZ HELP I DONT UNDERSTAND!! Thanks !!

Mathematics

1 answer:

love history [14]3 years ago

8 0

Hello from MrBillDoesMath!

Answer:

See below

Discussion:

Triangles BAD and BCD are congruent by the SAS postulate.

* Side AD = DC because BD is the perpendicular bisector of AC.

* Angle ADB and CDB are both right angles, and hence equal, because

BD is the perpendicular bisector of AC)

Corresponding parts of congruent triangles are equal so angle BAD = angle BCD, which was to be proven.

Regards,

MrB

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2 years ago

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3 years ago

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Two truckers leave from the same point driving in opposite directions, the first trucker driving at 62 miles per hour and the s

Elodia [21]

Answer:

1 hour 42 minutes

Step-by-step explanation:

Given: Speed of 1st trucker= 62 mph

Speed of 2nd trucker= 66 mph

Total distance need to cover to be in contact is 270 miles

1st trucker start 1 hour ahead of 2nd trucker

Lets assume 2nd trucker take `x` hours to be in contact and 1st trucker take `(x+1)` hours.

We know, distance= $speed\times time$

1st trucker, distance $(d_1)= 62\times (x+1)$

∴ $d_1= 62x+62$

2nd trucker, distance $(d_2)= 66\times x$

∴ $d_2= 66x$

Now, putting the values in an equation.

$d_1+d_2= 270$

⇒ $(62x+62)+66x= 270$

Opening the parenthesis to solve and subtracting both side by 62

⇒ $122x= 208$

∴ x= $\frac{208}{122} = 1.70\ h$ = 1 hour 42 minutes

∴ It will take 1 hour 42 minutes to be able contact each other after first trucker leaves.

3 0

3 years ago