Answer:
10 units
Step-by-step explanation:
Given data
P = (3, 1) and Q = (-3, -7)
x1=3
y1=1
x2= -3
y2= -7
The expression for the distance between two coordinate is
d=√((x_2-x_1)²+(y_2-y_1)²)
Substitute
d=√((-3-3)²+(-7-1)²)
d=√((-6)²+(-8)²)
d=√36+64
d=√100
d=10 units
Hence the distance is 10 units
Once you combine like terms you are left with 18k +3.
Use the formula that states that the sum of the angles of an n-sided polygon is given by
S=(n−2)180
0
........(1)
Since we are given that the two angles are right angles and each of the remaining angles is 144
0
, therefore, the sum is:
S=90
0
+90
0
+(n−2)144
0
.........(2)
Therefore setting (2) equal to (1) we get
(n−2)180
0
=90
0
+90
0
+(n−2)144
0
⇒(n−2)180
0
−(n−2)144
0
=180
0
⇒(n−2)(180
0
−144
0
)=180
0
⇒(n−2)(36
0
)=180
0
⇒n−2=
36
180
⇒n−2=5
⇒n=5+2=7
Hence, the polygon has 7 sides.
Answer:
6 hrs
Step-by-step explanation:
4:5
2.4 : 3.2
2.4+3.2=6 hrs
Answer:
The correct answer is option D. 48
Step-by-step explanation:
From the figure we can see that, some right angled triangles.
<u>To find the measure of LP</u>
Consider the right angled triangle LPT,
LT is the hypotenuse, LP = 50 units (given)
PT = QT = RT = 14 units
From figure we get,
LP² + PT² = LT²²
LP² = LT² - PT²
= 50² - 14²
= 2500 - 196
= 2304
LP =√2304
= 48
The correct answer is option D. 48
