Answer: ∠ABE=20°
Step-by-step explanation:
∵ AB=BC
∴ ΔABC is a isosceles triangle
∵ ∠A=30
∴ ∠C=30
∵ The interior angle sum of triangle is 180°
∵ ∠A+∠B+∠C=180
30+∠B+30=180
∠B+60=180
∠B=120 (∠ABC)
∵ ∠EBD+∠ABE+∠ABC=linear pair
∴∠EBD+∠ABE+∠ABC=180°
4x+2x+120=180
6x+120=180
6x=60
x=10
∠ABE=2x=2(10)=20°
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Answer:
A is the only solution.
Step-by-step explanation:
A simple way to solve it is to plug in the x and y values
For A, we plug in 2 for x and 3 for y
3-3=5(2-2)
0=5(0)
0=0
Ordered pair A is a solution
For B, plug in 3 for x and 2 for y
2-3=5(3-2)
-1=5(1)
-1 does not equal 5
Therefore only A is a solution
Steps to solve:
3(5x - 8) = 6x + 39
~Distribute left side
15x - 24 = 6x + 39
~Add 24 to both sides
15x = 6x + 63
~Subtract 6x to both sides
9x = 63
~Divide 9 to both sides
x = 7
Best of Luck!
A repeating decimal can be written like this
Answer:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Exact Form: 21
/4 Decimal Form:
5.25 Mixed Number Form: 5 1
/4
Step-by-step explanation: