Answer:
x = 2
Step-by-step explanation:
Given that:
Your score = 5
We have to find scores of opposite team let it be x
According to given conditions:
Opponents score: (1/2)x+ 4 = 5
By simplifying:
subtract 4 from both sides:
(1/2)x + 4 -4 = 5-4
(1/2)x = 1
Multiply both sides by 2 we get
2*(1/2)x = 1*2
x = 2
Proof:
(1/2)x+ 4 = 5
Put x= 2
(1/2)*2 +4 =5
1 +4 =5
5=5
Hence proved
I hope it will help you!
Answer:
Step-by-step explanation:
There are 3 possible triangles to find there within what appears to be one triangle. And since they are all part of the same largest triangle, they are also all similar. Just because 2 shapes may be triangles, so NOT mean they are automatically similar. Remember that!
The largest triangle is ΔABC
The triangle on the "left" is ΔADB, and
The triangle on the "right" is ΔCDB
Answer:
B
Step-by-step explanation:
Football has the highest number of votes in the chart.
Answer:
340 units2
Step-by-step explanation:
draw perpendicular line from upper left corner of trapezoid to cut bottom line(=9) into two part having length 3 and 6. Now a triangle and rectangle are formed.
The triangle has base=3, angle 60 degrees and angle of 90 degrees.
Finding third angle:
180-60-90= 30
finding other two sides of triangle by using law of sines:
a/sinA=b/sinB
3/sin30=b/sin60
b=3sin60/sin30
b=3(0.866)/0.5
b=5.2
b is the perpendicular line we drew
a/sinA=b/sinB
3/sin30=c/sin90
c=3sin90/sin30
c=3(1)/0.5
c=6
c is the hypotenuse of the triangle
Now Finding the perimeter of base:
The perimeter of the base=sum of the lengths of sides.
p=6+9+6+5.2
=26.2
area of trapezoid:
A= (a+b)h/2
= (6+9)(5.2)/2
=39
total surface area of prism:
TSA= ph + 2A
where h is height of prism = 10
TSA= 26.2(10) + 2(39)
=340
Hence total surface area of the given prism is 340 units square!
Answer:
(-4, 6) , (4, -2). I think
