Answer:
3 < x < 17
Step-by-step explanation:
Given 2 sides then the possible range of the third side x is
difference of 2 sides < x < sum of 2 sides , that is
10 - 7 < x < 10 + 7
3 < x < 17
Answer:
It is A
Step-by-step explanation:
Equation: 5x+1=9+3x
5x+1=9+3x
-1 -1
_________
5x=8+3x
-3x -3x
________
2x=8
__ __
2 2
<h2><u><em>
x=4</em></u></h2>
Answer:
aₙ = 0.2(-0.3)⁽ⁿ⁻¹⁾
Step-by-step explanation:
The geometric sequence with the first term a, a common ratio r has the nth term given as
Tₙ = arⁿ⁻¹
where Tₙ is the nth term
From the given sequence
a = 0.2
r = -0.06/0.2
= -0.3
Hence the nth term
= 0.2 * -0.3ⁿ⁻¹
The right option is E
By angle addition postulate,
m(∠ABD) + m(∠DBC) = m(∠ABC)
Now substitute the values of each angle,
(5x + 5)° + (3x + 12)° = 153°
Combine like terms of the expression,
(5x + 3x) + (5 + 12) = 153
8x + 17 = 153
8x = 153 - 17
x = 
x = 17
Substitute the value of 'x' to get the measure of each angle,
m(∠ABD) = (5x + 5)
= 5(17) + 5
= 90°
m(∠DBC) = (3x + 12)
= 3(17) + 12
= 63°
Learn more,
brainly.com/question/4838302
