Answer:
Let Hassan score be X
Then Dionnie score will be X + 4
: the sum of Hassan and Dionnie is 180
X + ( X + 4 ) = 180
X + X + 4 = 180
COLLECTING LIKE TERMS
2X = 180 – 4
2X = 176
DIVIDING EACH TERM BY 2
2X/2 = 176/2
X = 88
: Hassan scored 88 and Dionnie score 92
Step-by-step explanation:
D=√(0.9²+2.5²)=2.65
The distance between two points is 2.65
D. y=-3/10x+1/2
Step-by-step explanation:
Using rise/run you can count the units the line moves from one point to another, from the left point to the right point the line travels down 3 and over 10 so you get -3 as your rise (it is negative because the line is traveling downwards) and 10 as your run, so your slop is -3/10. By looking at the graph you can see that your y-intercept is 1/2. SO when plugged into y=mx+b with m as -3/10 and b as 1/2 you get the equation y=-3/10x+1/2, or letter D.
Answer:
Perimeter of the quadrilateral PQRS is 25 units
Step-by-step explanation:
From the figure attached,
PQ is a tangent to the given circle so m∠PQR = 90°
Now we apply Pythagoras theorem in the ΔPQR,
PR² = PQ² + QR²
(PT + TR)²= PQ² + 5²
(4 + 5)² = PQ² + 25
81 = PQ² + 25
PQ = √(81 - 25)
= √56
≈ 7.5 units
PQ ≅ PS ≅ 7.5 units
[Since measures of tangents drawn from a point to a circle are always equal]
Perimeter of PQRS = PQ + QR + RS + PS
= 7.5 + 5 + 5 + 7.5
= 25 units
Therefore, perimeter of the quadrilateral PQRS is 25 units.