Let us recall parallelogram properties, which states that opposite angles of parallelogram are congruent.
We can see from graph that side US is parallel to TR and measure of angle U equals to measure of angle R, therefore, quadrilateral drawn in our given graph is a parallelogram.
Since we know that opposite sides of parallelogram are congruent. In our parallelogram UT=SR and US=TR.
In our triangle STU and triangle TSR side TS=TS by reflexive property of congruence.
Therefore, our triangles are congruent by SSS congruence.
Answer:
<u>x = 1.07</u>
Step-by-step explanation:
13 ( 6x - 9) = -33
78x - 117 = -33 ( opening brackets and multiplying )
78x = 84 ( - 117 taken to the other side makes it positive)
x = 84 / 78
x = <u>1.07</u>
So theres 4 hours and 60min equals 1 hour, so multiply 4 by 60 to get 240, so theres 240 minutes of time on the mp3. So 1/6 of that total time (240min) was on jazz, so what you do is divide 240 by 6 to get 40, so every 1/6 is 40min. So you could say he spend 40min listening to jazz, or you could say he spent 2/3 of an hour listening to jazz
Answer: The Smith family price for the meal is $36.39
Step-by-step explanation:
The Smith family went out to dinner. • The price of the meal was $29.85.
The sales tax was 6% of the price of the meal.
LEts find sales tax amount
sales tax amount = price of meal * sales tax 6%(0.06)
= 29.85 * 0.06 = 1.791
sales tax amount = 1.791
Price of the mean with sales tax = 29.85 + 1.791= 31.641
The tip was 15% of the meal and the sales tax
now we find out tip amount for 31.641
15 % is 15/ 100 = 0.15
Tip amount = 31.641 * 0.15 = 4.74615
Now we add the top amount with 31.641
31.641+ 4.74615=36.38715
the Smith family price for the meal = $36.39
