Step-by-step explanation:
11/12-?=2/3
11/12-2/3=?
11-8/12=?
3/12
=1/4
B. 31°, 43°, 106°
since all angles of a triangle add up to 180°, you combine all of the equations to equal 180 and solve for X. the equation you would get it 3x+1+11x-4+5x-7=180. this simplifies to 19x-10=180. then you solve for x, and it is 10. then, you plug 10 into all of the equations separately to find the angles. therefore, the answer is B
Answer:
The correct answer is 218 math textbooks and 259 sociology textbooks.
Step-by-step explanation:
To solve this problem, we can make a system of equations. Let the number of sociology textbooks sold be represented by the variable "s" and the number of math textbooks sold be represented by the variable "m". Using these variables, we can make two equations:
s + m = 477
m + 41 = s
There are many ways to solve this system of equations. One approach we can take is substituting the value for s given by the second equation into the first equation. This is modeled below.
s + m = 477
(m + 41) + m = 477
Combining like terms on the left side of the equation yields:
2m + 41 = 477
Subtracting 41 from both sides of the equation gives us:
2m = 436
Finally, dividing both sides of the equation by 2 gives us:
m = 218
To solve for the number of sociology textbooks, we can substitute into either of our original equations.
m + 41 = s
(218) + 41 = s
s = 259
Therefore, your answer is m = 218 and s = 259, or 218 math textbooks and 259 sociology textbooks were sold.
Hope this helps!
Answer:
A. Area of ABCD = 240 
B. 60 cm
C. 36 cm
D. 50 cm
Step-by-step explanation:
Given: AB = 24cm BC = 10cm and AE = 13cm.
A. Since a rectangle is a 2 dimensional figure, it has no volume but area.
So that,
the area of the rectangle ABCD = length x width
= 24 x 10
= 240
B. To calculate the circumference of the BCD triangle, apply the Pythagoras theorem to determine BD.
= 
+ 
= 
+ 
= 676
BD = 
= 26
BD = 26 cm
so that,
the circumference of BCD = 10 + 24 + 26
= 60 cm
C. To calculate the circumference of the BEC triangle,
AC = 26 cm, AE = 13 cm
CE = 26 - 13
= 13 cm
CE = 13 cm
The circumference of the BEC triangle = 13 + 13 + 10
= 36 cm
D. The circumference of the DEC triangle = 13 + 13 + 24
= 50 cm
