We will prove first that PRQ≡PSQ
We need 3 attributes from the each triangle:
QS=QR
PR=PS
PQ=PQ
from PRQ≡PSQ => angles RPQ and SPQ are equal
Let if be O=RS∩PQ
We will prove that triangles RPO≡SPO
We need 3 attributes from the each triangle:
RP=PS
PO=PO
angles RPQ and SPQ are equal
results that angles RPO and SPO are equal(Let's note them with x)
We also know that (as angles) POS≡ROS and POR≡SOQ as opposite angles
We now have than 4x=360 wich means x=90. And we proved the desired result.
You just need to put this explanation into the table. (most if the 3 attributes for each triangle)
The next number in the given series is going to be 565.
2, 3, 8, 27, 112, ?
2 * 1 + 1 = 3
3 * 2 + 2 = 8
8 * 3 + 3 = 27
27 * 4 + 4 = 112
112 * 5 + 5 = 565.
Good luck :)
Answer:
Mathematical is a term which means "Relating to mathematics."
<em>Sentence for better understanding</em><em> </em><em>-</em><em> </em>Physics is totally mathematical.
<h3>Hope it helps! : ) </h3>
Answer:
a) The amount of edging needed = 7.54 meters
b) Cost to edge the garden = $32.80
Step-by-step explanation:
a)
the amount of edging needed is basically the circumference (perimeter) of the circle. It has the formula:

Where
C is the circumference
r is the radius
Given, diameter = 2.4, radius is HALF of it, so
r = 2.4/2 = 1.2
Now, finding circumference:

The amount of edging needed = 7.54 meters
b)
$4.35 is needed to edge 1 meter, since we need 7.54 meters, we find the total cost by multiplying 4.35 with 7.54, so we have:
4.35*7.54 = $32.80
Cost to edge the garden = $32.80
Y=5x
Explanation:
You would take two points and use the slope formula
Y2-y1/x2-x1
So I took the points (0,0) and (1,5)
5-0/1-0
5/1
5= the slope
So now we know y=5x+b and since it shows us on the graph where the line crosses the y axis we know the y intercept will be zero because it crosses at 0. When the y-intercept is 0 we don’t even need to list it.