Answer:
<h3>77</h3>
Step-by-step explanation:
If Point D is in the interior of <ABC, then <ABD+<BDC = <ABC
Given
<ABC = 10x - 7,
<ABD = 6x + 5
<DBC = 36
Substituting the given parameters into the formula above;
ABD+<DBC = <ABC
6x + 5+ 36 = 10x-7
6x+41 = 10x-7
collect like terms
6x-10x = -7-41
-4x = -48
divide both sides by -4
-4x/-4 = -48/-4
x = 12
To get <ABD, we will substitute x = 12 into the expression <ABD = 6x + 5
<ABD = 6(12)+5
<ABD = 72+5
<ABD =77
Hence the value of <ABD is 77
Answer:
The answer is True. Hope this helps. :)
Step-by-step explanation:
( 4 x 3 ) 3 + 5 - 10 = 4 x 3 + 5 - 10
- (4x3) = 12
- 3 + 5 = 8
- 4 x 3 = 12
- 3 + 5 = 8
This is basically an example of PEMDAS.
Perimeter
Equation
Multiplication
Division
Addition
Subtraction
(Multiplication is ahead of Addition, you multiply first)
-x + 10 = 3x + 22
-12 = 4x
x = -3