Split up the interval [0, 2] into 4 subintervals, so that
![[0,2]=\left[0,\dfrac12\right]\cup\left[\dfrac12,1\right]\cup\left[1,\dfrac32\right]\cup\left[\dfrac32,2\right]](https://tex.z-dn.net/?f=%5B0%2C2%5D%3D%5Cleft%5B0%2C%5Cdfrac12%5Cright%5D%5Ccup%5Cleft%5B%5Cdfrac12%2C1%5Cright%5D%5Ccup%5Cleft%5B1%2C%5Cdfrac32%5Cright%5D%5Ccup%5Cleft%5B%5Cdfrac32%2C2%5Cright%5D)
Each subinterval has width
. The area of the trapezoid constructed on each subinterval is
, i.e. the average of the values of
at both endpoints of the subinterval times 1/2 over each subinterval
.
So,


Answer:
77
Step-by-step explanation:
Let us recall parallelogram properties, which states that opposite angles of parallelogram are congruent.
We can see from graph that side US is parallel to TR and measure of angle U equals to measure of angle R, therefore, quadrilateral drawn in our given graph is a parallelogram.
Since we know that opposite sides of parallelogram are congruent. In our parallelogram UT=SR and US=TR.
In our triangle STU and triangle TSR side TS=TS by reflexive property of congruence.
Therefore, our triangles are congruent by SSS congruence.
Answer: C
Step-by-step explanation:
Answer:
ghs 20,000
Step-by-step explanation:
If Boadu and ansah formed a company and agreed that their annual profit will be shared in the ratio of 4:5 respectively, the total ratio will be 4 + 5 = 9
Let Boadu share be x
Let ansah share be y
If at the end of the year ansah received ghs5,000 more than Boadu, then;
y = 5000 + x
Boadu share = 4/9 * (x+y)
x+y is the total amount shared
x = 4/9 * (x+y)
Substitute y = 5000 + x
9x = 4(x+y)
9x = 4x + 4y
9x - 4x = 4y
5x = 4y
5x = 4(5000+x)
5x = 20,000 + 4x
5x-4x = 20,000
x = 20,000
Hence Boadu share is ghs 20,000