So...
-2(16-4x)-8=6(x+2) Multiply
-32+8x-8=6x+12 Add like terms
-40+8x=6x+12 Subtract 6x from both sides
-40+2x=12 Add 40 to both sides
2x=52 Divide 2 from both sides
x=26 Substitute to check
-2(16-4(26))-8=6((26)+2) Add and multiply in parenthesis
-2(-88)-8=6(28) Multiply
176-8=168 Subtract
168=168
So x=26
I hope this helps! Have a great day!
The answer
the sum of the angles in a triangle is always 180°
m < B + m < A + m < C = 180°,
let's find m < B,
by applying sinus rule
14/sinB=10/sinC, so sinB= 10xsinB = 14 x sinC and therefore,
sinB=( 14/10 )sinC =7/2 sin 36° =0.82, so arcsinB=55.08°
the answer is C 55.4°
Answer:
Kindly check explanation
Step-by-step explanation:
When we have an exponential function, this means that a certain item of sum changes by a fixed percentage rate over a certain period of time.
Decay in Mathematics means reduction. Hence, Applying this knowledge to the concept of exponential Decay, we could say exponential deacy means a reduction process an object or thin undergoes as it decreases by a fixed percentage rate over a certain period of time.
Mathematically, exponential Decay is expressed as :
y = a(1-b)^x
Where, a = Initial amount
(1 - b) = Decay factor ; where b = decay rate.
x = period.
( B) ∠OSN is the correct answer.
As we know two angles are Supplementary if sum of that two angles is 180° or they form a linear pair
The meaning of linear pair is that the two angles should be such that the non common arms should lie on opposite side of the common arm and at the point of intersection of two angles have the same vertex. Also the two non common arms should form a line.
SO IF ONE ∠ IS Ф° OTHER SHOULD BE 180-Ф°. FOR EXAMPLE ON ∠ IS 60° OTHER WILL BE 180-60°=120°
Supplement of
1.45°=135°
2.70°=110°
The thing that can be deduced from Gus's elasticity of demand for cupcake is that the demand for cupcakes is perfectly elastic.
<h3>What is elasticity of demand?</h3>
It should be noted that elasticity of demand simply means the responsiveness to demand when there's a change in price.
Gus's elasticity of demand for cupcake is that the demand for cupcakes is perfectly elastic. This is when the percentage change in quantity demanded is infinite due to the price change.
Learn more about demand on:
brainly.com/question/1245771
#SPJ1