Answer:
Step-by-step explanation:
6a = 4a - 6 =
2a = -6
a = -3
Answer:
x = 5
Step-by-step explanation:
To break this down, I'll start from the first thing the question gives you. Triangle ACB is congruent to triangle DCE. This means that the angles and the sides of each triangle is the same. Now this next part is important. The way in which the letters are ordered is corresponds to what angles are the same. Since the triangles are congruent, ∠A in ΔACB would correspond to ∠D in DCE. Another example: ∠C in ACB is congruent to ∠C in ΔDCE. So if ∠A is congruent, or the same as ∠D, this means ∠D is 50°. Now, we just solve for x:
∠D = 10x
50° = 10x
Divide each side by 10 to isolate x:
50/10 = 10x/10
x = 5
First of all, to simplify expressions we use the PEMDAS
then we do the right needed inverse to move the variables all to one side and the other numbers to another... this is a way we simplify expressions
Hope this helps :)
Answer:
Step-by-step explanation:
We are required to subtract 
.
![[2x^4-8x^2y^2-y^4]-[-6x^4-3x^2y^2+5y^4-6x]](https://tex.z-dn.net/?f=%5B2x%5E4-8x%5E2y%5E2-y%5E4%5D-%5B-6x%5E4-3x%5E2y%5E2%2B5y%5E4-6x%5D)
<u>Step 1:</u> Open the bracket, Take note of the signs
![[2x^4-8x^2y^2-y^4]-[-6x^4-3x^2y^2+5y^4-6x]\\2x^4-8x^2y^2-y^4+6x^4+3x^2y^2-5y^4+6x](https://tex.z-dn.net/?f=%5B2x%5E4-8x%5E2y%5E2-y%5E4%5D-%5B-6x%5E4-3x%5E2y%5E2%2B5y%5E4-6x%5D%5C%5C2x%5E4-8x%5E2y%5E2-y%5E4%2B6x%5E4%2B3x%5E2y%5E2-5y%5E4%2B6x)
<u>Step 2:</u> Collect like terms
<u>Step 3:</u> Simplify
Answer: £11.69
Explanation:
1) Work out 2% of £1600:
1600 x 2/100 =36
2) Add it on to the original number to get his new monthly pay:
1600 + 36 = £1636
3) Work out his yearly pay by:
a) finding the amount of months he worked:
46 / 4 = 11.5 months
b) Divide 11.5 into 2 bits and add them on:
1636 x 11 = 17997
1636 x 0.5 = 818
17997 + 818 = £18814
4) To get his pay per week:
18814 / 46 = £409
5) Finally, to get his pay per hour:
409 / 35 = 11.68671...
= £ 11.69
