Answer:
290m 1148 44 c dXsxcdfvb ehtwefgb fetths
Given that there is no any option to choose I am going to help you according to the concepts of
Congruent Triangles. Two triangles are congruent if and only if:
1. They have:exactly the same three sides
2. exactly the same three angles.
<span>There are five ways to find if two triangles are congruent but in this problem we will use only two.
First Answer:<u>ASA criterion:</u> </span><em>A</em><span><em>ngle, side, angle</em>. This means that we have two triangles where we know two angles and the included side are equal.</span>
So:
If ∠BAC = ∠DEF and

<em>Then ΔABC and ΔEFD are congruent by ASA criterion.</em>
Second answer:<u>SAS criterion:</u> <em>S</em><span><em>ide, angle, side</em>. This means that we have two triangles where we know two sides and the included angle are equal.
</span>

<em>Then ΔABC and ΔEFD are congruent by SAS criterion.</em>
Answer:
John and Pam are paid $8.5 for each hour worked. John's share of the money is $29.75.
Step-by-step explanation:
Let x = the hourly salary. John worked for 3.5 hrs, and Pam for two. We can represent this using the equation:
3.5x + 2x = 46.75, where the coefficients equals the amount of hours.
Let's solve for x!
5.5x=46.75
x = 46.75/5.5 = 17/2 = 8.5
John and Pam are paid 8.5 dollars per each hour worked.
To figure out John's share of the money, we will multiply the wage by the hours he worked.
8.5 x 3.5 = 29.75
Answer: 6x
Work Shown:
For each step, the logs are all base b. This is to save time and hassle of writing tricky notation of having to write the smaller subscript 'b' multiple times. The first rule to use is that log(x^y) = y*log(x) for any base of a logarithm. The second rule is that
meaning that the log base of itself is 1
log(b^(6x)) = 6x*log(b) .... pull down exponent using the first rule above
log(b^(6x)) = 6x*1 .... use the second rule mentioned
log(b^(6x)) = 6x