Log 2x + log 12 = 3log 2x = 3 - log 12log 2x = 3 - 1.08log 2x = 1.922x = 10^1.922x = 83.33x = 83.33/2x = 41.67
The solution of the set of equation is
x=6.217
y=0.132
<u>Step-by-step explanation:</u>
given the set of equations
0.7x-y=4.22(1)
5-0.8x=0.2y
-0.8x-0.2y=-5 (2)
multiply (1) and(2) by 10
7x-10y=42.2(3)
-8x-2y=-50(4)
solve (3) and (4) using elimination method

⇒-40x-10y=-250(5)
(5)-(3)
-47x=-292.2
x=6.217
substituting value of x in 3
we get y=0.132
You started off very well. You identified the given and the pair of congruent sides.
Statement Reason
3. m<POM = m<NMO Alternate Interior Angles
4. m<NOM = m<PMO Alternate Interior Angles
5. ΔPMO ≅ ΔNOM ASA
6. MP ≅ NO CPCTC
Reasoning for statement 3: This is because MN ║PO and MO acts as a transversal.
Reasoning for statement 4: This is because MP ║NO and MO acts as a transversal.
The answer is 246 units²
<span>Surface area= 2(lw + lh + wh)</span>
Answer:

Step-by-step explanation:
It's the right triangle. The formula of an area of a right triangle:

We have:

Use tangent:



Substitute:
<em>convert the decimal to the fraction</em>
<em>cross multiply</em>
<em>divide both sides by 14281</em>


Calculate the area:
