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Lina20 [59]
3 years ago
5

The answer is 35 degrees, but I am unsure of the process in order to get to that answer.

Mathematics
2 answers:
Basile [38]3 years ago
8 0
Angle ABD=180-30-25=125

We also know the angle ABD plus the angle DBC has to equal 180 so

DBC=180-125=55

We also know the right triangle has to equal 180 so

BDC=180-90-55=35

So angle BDC is 35 degrees

hammer [34]3 years ago
4 0

Answer:

Step-by-step explanation:

Hello There!

So first things first

we need to find the measure of ∠ABD

If you didn´t know the sum of the triangle angles is 180

so to find ∠ABD we subtract the given angles ( 30 and 25) from 180

180-25-30=125

so angle ∠125

Now lets find ∠DBC

∠ABD and ∠ DBC are supplementary angles so the sum of the two angles is 180

So to find ∠DBC we subtract 125 from 180

180-125=55

so ∠DBC = 55

Now we can find the measure of ∠BDC

remember like stated before the sum of all of the angles in a triangle is 180

So to find the measure of ∠BDC we subtract the given angles from 180

180-90-55=35

so we could conclude that ∠BDC = 35

Other ways to solve for ∠DBC:

angle DBC is an exterior angle of ΔABD

the measure of an exterior angle is equal to the sum of the opposite interior angles

so basically ∠DBC = ∠ADB + ∠BAD

30+25=55 so ∠DBC = 55

Other ways to find angle BDC:

Having found the measure of ∠DBA and the other opposite angle we could find ∠BDC

Like stated before the measure of an exterior angle is equal to the sum of the opposite interior angles

basically ∠DBA = ∠BDC + ∠BCA

we have the measures of ∠BCA and ∠DBA so we plug in the values

125=∠BDC+90

isolate the variable by subtracting each side by 90

125-90=35

we´re left with

∠BDC=35

I hope this helps and if you have anymore questions, feel free to ask! :)

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Answer/Step-by-step explanation:

#8. Using the geometric mean theorem formula, h = √xy, where,

h = x

x = 4 and y = 16

Plug in the values

x = √(4*16)

x = 8

#9. Using the geometric mean formula, h = √xy, where,

h = y

x = 5 and y = 8

Plug in the values into the formula:

y = √(5*8)

y = √40

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#10. Using the geometric mean formula, h = √xy, where,

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Plug in the values into the formula:

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DanielleElmas [232]

Answer:

135 degrees

Step-by-step explanation:

  • Angle CBD is the sum of angle ABC and angle ABD, so we find these first
  • An Isosceles triangle has 2 equal sides and 2 equal angles
  • Isosceles triangle theorem tells us that the 2 equal angles are respectively opposite the equal sides
  • Since triangle ABC has sides AB=AC, then angle ACB = angle ABC
  • So knowing that angles of triangle add up to 180, then
  • \angle CAB+\angle ACB+\angle ABC=180\\(50)+\angle ACB+\angle ABC=180\\50-(50)+\angle ACB+\angle ABC=180-(50)\\\angle ACB+\angle ABC=130\\But,\angle ACB=\angle ABC,so\\(\angle ABC)+\angle ABC=130\\2\angle ABC=130\\\angle ABC=65
  • Now we do the next triangle to get ABD
  • Since triangle ABD has sides AB=BD, then angle BDA = angle BAD
  • So knowing that angles of triangle add up to 180, then
  • \angle BDA+\angle BAD+\angle ABD=180\\(55)+\angle BAD+\angle ABD=180\\But,\angle BDA=\angle BAD,so\\(55)+(55)+\angle ABD=180\\110+\angle ABD=180\\110-(110)+\angle ABD=180-(110)\\\angle ABD=70
  • Now we said, angle CBD is the sum of angle ABC and angle ABD, so
  • \angle ABC+\angle ABD=\angle CBD\\(65)+(70)=\angle CBD\\\angle CBD=135
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Answer:

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Step-by-step explanation:

Find f^{-1} (x) by letting y = f(x) and rearranging making x the subject, that is

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