Perimeter (P)= 2Length (L) +2Width (W)
P=2L + 2W
P=(2y)+(3y-5)
P=5y-5
A. 5y-5
Answer:
Perimeter=42cm
Step-by-step explanation:
It is given that AC is the angle bisector of the trapezoid ABCD which divides the trapezoid into two similar triangles that are △ABC and △ACD.
Now, it is also given that AB=9cm and CD=12cm.
Since, it is a trapezoid, then AB will be parallel to CD, thus
∠BAC=∠DCA (Alternate angles)
Also, it is given that ∠DAC=∠BAC
⇒∠DAC=∠DCA
Also, ∠ACD=∠ACB( Angle bisector)
Therefore, If the angles are equal, then the corresponding sides will also be equal. Hence, △ABC and △ACD are isosceles triangle, therefore
AB=BC=9cm and CD=AD=12cm
Now, the perimeter of trapezoid is the sum of all the four sides of the trapezoid, therefore
Perimeter=AB+AD+CD+BC
Perimeter=9+9+12+12
Perimeter=42cm
Answer:
230°
Step-by-step explanation:
1. A quadrilateral is a 4-sided shape that consists of 2 triangles.
2. The interior angles in a triangle equal 180°: a quadrilateral has interior angles of 360°.
3. x° + 25° + 45° + 60° = 360°
4. x° + 130° = 360°
5. x° = 230°
Let's start out with what we do know:
We have a 5.2L pitcher and 0.4L glasses and we want to know how many glasses we can fill with the 5.2L pitcher of water.
To answer that, we need to divide 5.2L by 0.4L in order to get the number of glasses (the number of 0.4L glasses that can go into a 5.2L pitcher)
So our equation will look like this:
where n = number of glasses
so by doing that division we get:
Notice that the L's cancel out leaving us with a plain number.
So a 5.2L pitcher of water can fill up
13 glasses!