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vichka [17]
2 years ago
7

I need help finding why these triangles are congruent please (30 points)

Mathematics
1 answer:
den301095 [7]2 years ago
7 0

Answer:

SAS therum

Step-by-step explanation:

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The answer is 35 degrees, but I am unsure of the process in order to get to that answer.
hammer [34]

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! :)

4 0
3 years ago
Read 2 more answers
What is the value of 4-4
11111nata11111 [884]

Answer:

0?

Step-by-step explanation:

4-4=0

4 0
3 years ago
Read 2 more answers
Please answer this question <br><br> 2x^2 = 3x
Anika [276]

Answer:

x = 1.5

Step-by-step explanation:

2x^2 = 3x

divide whole eqn by x

2x = 3

x= 3/2 =1.5

3 0
3 years ago
Read 2 more answers
Assignment: Using Prime Factorization Investigation
damaskus [11]

Answer:

  1. 3(2 +7)
  2. 9(3 +5)
  3. 16(2 +3)
  4. 15(2 +5)
  5. 8(11 +3)

Step-by-step explanation:

  1. 6 + 21 = 2·3 + 3·7 = 3(2 +7)
  2. 27 + 45 = 3^3 + 3^2·5 = 9(3 +5)
  3. 32 + 48 = 2^5 + 2^4·3 = 16(2 +3)
  4. 30 + 75 = 2·3·5 + 3·5^2 = 15(2 +5)
  5. 88 + 24 = 2^3·11 +2^3·3 = 8(11 +3)

In each case, the factor outside parentheses is the greatest common factor, the product of the prime factors common to both numbers. When the same factor has different powers, the least power is the common factor.

3 0
3 years ago
Can someone pls help with this question
vlabodo [156]

Answer:

Rise=2 Run=1 type of slope is positive slope is 2 y int is 1 and the equation is y=2x+1

Step-by-step explanation:

1. First you need slope, slope is y1-x1/x2-y2 so then you get 4/2 which is 2, we also know rise/run so rise is 2

2. 2/1 so run is 1

3. its positive since slope is positve

4.  y int is when x is 0 and y has value so y int is 1

5.  y=2x+1 since slope and y int  

:D

8 0
3 years ago
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