Answer:
Step-by-step explanation:
a1 = 6
a2 = -1.2*a_(n-1)
a2 = -1.2*a_1
a2 = -1.2 * 6
a2 = -7.2
a3 = -1.2*a_(n-1)
a3 = -1.2*a_2
a3 = -1.2 * - 7.2
a3 = 8.64
a4 = -1.2 * a_3
a4 = -1.2 * 8.64
a4 = -10.368
Answer:
Step-by-step explanation:
Remark
Read the following carefully.
There is a beautiful theorem that has to do with the endpoints of two angles sharing the same endpoints.
To be a little clearer, I hope, that makes < BAC = <BDC because both angles have B and C as their endpoints inside the circle. Make sure you understand that statement before moving on.
For this problem <BDC = <CAB = 33 degrees.
That means that ADC = 37 + 33 = 70
Solution
<ADC and CBA are opposite angles.
That means that they add to 180
From the above statement in the Remark section <ADC = 37 + 33 = 70 degrees <ABD + <DBC = <ABC = m + 71
<ABC + ADC = 180
m + 71 + 70 = 180 Combine
m + 141 = 180 Subtract 141 from both sides.
m+141-141= 180 - 141 Combine
m = 39
Answer: m = 39
Alright.
For 7, you'll want to put congruent sides equal to each other, assuming they are parallelograms. So, you'll get the two equations:
3x+2=23
2y-7=9
Solve using GEMDAS/PEMDAS, and you'll get these answers.
3x+2=23
3x=21
x=7
2y-7=9
2y=2
y=1
For 8, you'll want to do the exact same thing, formatting the numbers to equal each other. You'll get these two equations:
3y+5=14
2x-5=17
Solving them would make:
3y+5=14
3y=9
y=3
2x-5=17
2x=22
x=11
For 9, you have to remember that the angle opposite of one angle in a defined parallelogram are congruent. Thus:
130=2h
5k=50
solve them and you get
h=65
k=10
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Hope that helped. Good luck.
Answer:
true
Step-by-step explanation:
Put it in a more simplified form