The unit value if the 6 is the ones place
Answer:
See explanation
Step-by-step explanation:
Consider triangles PTS and QTR. In these triangles,
- given;
- given;
- as vertical angles when lines PR and SQ intersect.
Thus, 
by AAS postulate.
Congruent triangles have congruent corresponding sides, so
Consider segments PR and QS:
![PR=PT+TR\ [\text{Segment addition postulate}]\\ \\QS=QT+TS\ [\text{Segment addition postulate}]\\ \\PT=QT\ [\text{Proven}]\\ \\ST=RT\ [\text{Given}]](https://tex.z-dn.net/?f=PR%3DPT%2BTR%5C%20%5B%5Ctext%7BSegment%20addition%20postulate%7D%5D%5C%5C%20%5C%5CQS%3DQT%2BTS%5C%20%5B%5Ctext%7BSegment%20addition%20postulate%7D%5D%5C%5C%20%5C%5CPT%3DQT%5C%20%5B%5Ctext%7BProven%7D%5D%5C%5C%20%5C%5CST%3DRT%5C%20%5B%5Ctext%7BGiven%7D%5D)
So,
![PR=SQ\ [\text{Substitution property}]](https://tex.z-dn.net/?f=PR%3DSQ%5C%20%5B%5Ctext%7BSubstitution%20property%7D%5D)
Answer:
<em>Tiffany pays a total price of $9.81 for the basket of watermelons</em>
Step-by-step explanation:
<u>Percentages</u>
To increase a certain amount by a given percentage, we can first calculate the increasing amount and then add it to the original amount.
If the price of the basket of watermelons was $9 before tax, and the sales tax is 9%, we first calculate the tax amount to pay:
$9 * 9 / 100 = $0.81
Now we add it to $9 to get the total price paid by Tiffany:
Total price = $9 + $0.81 = $9.81
Tiffany pays a total price of $9.81 for the basket of watermelons
Answer:
x=5 x=3
Step-by-step explanation:
x^2 – 8x + 15
What two numbers multiply to 15 and add to -8
-5*-3 = 15
-5 +-3 = -8
(x-5) (x-3) =0
Using the zero product property
x-5 =0 x-3 =0
x=5 x=3
Answer:
Step-by-step explanation:
To find y=mx+b we need to identify two points. I picked (20,45) and (50,65)
From these two points we can find the slope, m.
m=(y2-y1)/(x2-x1)
m=(65-45)/(50-20)
m=20/30=2/3 so now our line is
y=2x/3+b, we can solve for b using either point, I’ll use (20,45)
45=2(20)/3+b
45=40/3+b
b=45-40/3
b=(135-40)/3
b=95/3 so the line is
y=(2x+95)/3
