The answer is -9-18x
27−9x−9(x+4)=
27−9x−(9x+36)=
27−9x−9x−36=
Collect like terms.
(27−36)+(−9x−9x)= −9−18x
<u>Answer-</u>
<em>The height of the prism is</em><em> 6 units</em>
<u>Solution-</u>
As the base of the prism is a hexagon consisting of 2 congruent isosceles trapezoids.
So,

And,

Also,


Putting all the values,

As the volume is given, so


Answer:
with discount+tax= $23.15
Step-by-step explanation:
board game is 25
discount: 15%
tax: 7.5%
discount means you take off that amount
tax means you add that amount
discount: 15% off
tax: +7.5%
to find 15% of 25 multiply 25 by 15% (15/100=0.15)
25*0.15
= 3.75
then subtract that from 25
25-3.75
=21.25
tax:
0.075*25
=1.875
~1.9
21.25+1.9
=23.15
x = 58°
<u>Explanation:</u>
According to the diagram, lines HI and JK are parallel to each other.
∠AHI = 60°
∠JKI = 62°
∠JKI and ∠HIA are equal because when two lines are parallel then the corresponding angles are equal.
So,
∠JKI = ∠HIA = 62°
In ΔHIA,
∠AHI + ∠HIA + ∠IAH = 180°
60° + 62°+ x = 180°
122° + x = 180°
x = 180° - 122°
x = 58°
Answer 2.85
On rounding to nearest hundredths, we get than 2.85 as at thousandths place, there is 9 which is greater than 5, so 1 is added to the hundredth value.