Answer:
x=3
Step-by-step explanation:
In given triangle, values are written on each side. Now using those values we need to find the value of x.
We see that angls corresponding to sides having values (3x+2) and 11 are marked with equal angles.
We know that equal angles of triangle corresponds to equal sides.
Then 3x+2=11
3x=11-2
3x=9
divide both sides by 3
x=3
<u>Hence final answer is x=3</u>
Answer:
B) 8
Step-by-step explanation:
2/3(x+7)=10
x+7=10/(2/3)
x+7=(10/1)(3/2)
x+7=30/2
x+7=15
x=15-7
x=8
Answer: y = 6280(0.87)^x
Step-by-step explanation:
If the office equipment depreciates at a rate of 13% each year, then the rate of depreciation is exponential.
We would apply the formula for exponential decay which is expressed as
y = b(1 - r)^x
Where
y represents the value of the office equipment after t years.
x represents the number of years.
b represents the initial value of the office equipment.
r represents rate of decay.
From the information given,
y = $628
r = 13% = 13/100 = 0.13
Therefore, the equation that represents the value of the equipment after x years is
y = 6280(1 - 0.13)^x
y = 6280(0.87)^x
The sides are 2x, 3x-5 and 4x+2
perimiter is the sum of the sides
a.
2x+3x-5+4x+2=63 is an equation
b.
solve
group like terms
2x+3x+4x-5+2=65
add like terms
9x-3=65
add 3 to both sides
9x=68
divide both sides by 9
x=68/9
2x=2(68/9)=136/9 in
3x-5=3(68/9)-5=(68/3)-5=(68/3)-(15/3)=53/3
4x+2=4(68/9)+2=272/9+2=272/9+18/2=290/9
the side lengths are 136/9in, 53/3in, and 290/9in
