Corresponding sides in the triangles MOP and MNQ are
MO and MN,
OP and NQ,
PM and QM.
Ratios of the corresponding sides for similar triangles should be the same.
MQ/MP =MN/MO
MQ/(MQ+QP) = MN/(MN+NO)
5/(5+x) = 6/(6+18/5)
5*(6+18/5)=6(5+x)
30+18 = 30 +6x
18=6x
x=3 =QP
Answer:
Positive 3
Step-by-step explanation:
you have to add 4 and -9 first and you get -5 then you add that to positive 8 and get 3
Answer:
54.5 Sq. cm
Step-by-step explanation:
<em>area of a right angled triangle = 1/ 2 × base × height </em>
(here, the base is 8 and height is 6)
= 1/ 2 × 6 × 8
= 4 × 6
<u>= 24 Sq. cm</u>
<em>area of a circle</em> = 
r²
(r is the radius that is diameter/ 2, and the value of is 3. 14)
= 3. 14.× (5)²
= 3.14 × 25
<u>= 78.5 Sq. cm</u>
area of the shaded region = area of Circle - area of triangle
= 78.5 - 24
<h3>= 54.5 Sq. cm</h3>
that is option 3
Answer:
B. City P is above sea level and City R is below sea level
Step-by-step explanation:
A. City R is negative meaning it is below sea level however City Q is 0 meaning it is at sea level, so this statement is false.
C. Once again, City P is positive meaning it is above sea level but City Q is 0 meaning it is at sea level, so this statement is false.
D. Like before, City P is above sea level and City Q is at sea level not below, so this is, once again, false.
3(k-x)= -3x-9
3k - 3x = -3x - 9 ← equation without parentheses
3k - 3x + 3x = - 9
3k = -9
k = -9/3
k = -3 ← simplest form
