1. 2x+3<-3 = x<-3
You get this by subtracting 3 from both sides, which gives you -6. Then divide 2 from both sides.
2. -3x<-6 = x>2
You divide -3 from both sides. You must switch the sign because any time you multiply or divide a negative integer from both sides of an inequality the sign is switched.
3. -5x<5 = x>1
See number 2
4. 5-2x<11 = x>-3
Subtract 5 from both sides to get -2x<6. Then, divide both sides by -2 and switch the sign.
5. x+2<5 = x<3
Subtract 2 from both sides
6. 2-3x<5 = x>-1
Subtract 2 from both sides to get -3x<3. Then, divide -3 from both sides and switch the sign.
Answer:
A. Orthocenter
Step-by-step explanation:
In the given triangle, ΔWKS, the drawing shown the construction of a perpendicular line to the side KS that pass through the vertex <em>W </em>of ΔWKS. Therefore, the completed construction gives an altitude of the triangle ΔWKS
Repeating the same procedure from the vertex <em>S</em> to construct the perpendicular line (altitude) to the side WK, and from the vertex <em>K</em> the perpendicular line (altitude) to the side WS gives the three altitudes of the triangle
The point of intersection (the point of concurrency) of the three altitudes is the <em>orthocenter </em>of the triangle and the drawing would therefore be a step in finding the <em>orthocenter </em>of a triangle.
Answer:
a) 150 plates
b) 30 plates
c) 180 plates
Step-by-step explanation:
Given that:
She bought twelve (12) packages of plates for the party in which each package contains 15 plates.
Out of the 12 packages;
10packages are small plates & 2 packages are large plates.
a) The number of small plates she bought = 10 × 15 = 150 plates
b) The number of large plates she bought = 2 × 15 = 30 plates
c) The total number of plates she bought all together is:
= number of small plates bought + = number of large plates bought
= (150 +30) plates
The total number of plates she bought all together = 180 plates
It’s something that’s for sure good luck!