A boat travels 45 miles east then 60 miles north, how far is it from where it started. Draw this. The hypotenuse of the right triangle is the square root (45^2)+(60^2)=square root of 2025=3600=square root of 5625, or 75 miles.
Since BD bisects angle ABC, that means angle ABD and angle CBD are equal to each other. With that set up the equation to solve for x like this:
-4x+33 = 2x+81
-2x -2x
————————
-6x +33 = 81
-33 -33
————————
-6x = 48
————- (divide by -6)
-6
x = -8
Now substitute that to ABD
-4(-8) +33
32 +33
=65
here’s CBD
2(-8) + 81
-16 + 81
=65
Finally angle ABC will be double the amount of ABD or CBD so 65 times 2 is 130.
ANSWERS: (angles)
ABD and CBD: 65
ABC: 130
Answer:
JL = 54
Step-by-step explanation:
JL = JK + KL
JK = KL
8x+11 =14x-1
12 = 6x
x = 2
substitute for x:
8(2)+11 + 14(2)-1 = JL
JL = 16+11+28-1
JL = 54
1. ∠1 is complementary to ∠2. 1. givem
2. m∠1 + m∠2. 2. Definition of complementary
3.BD bisects ∠ADC. 3. Given
4. 4. Definition of bisect
5. m∠2 = m∠3 5.
6. m∠1 + m∠3 = 90° 6. sunsitution
7. 7.
Answer:
the answer is x power 6/y power 3
