Length of bar= 6 units
Width of bar= 13 units
Formula for area of rectangular chocolate bar:
A= L x W
Put values
A= 6 x 13
A=78 square units
So he will break the bar into 78-1=77 times
Answer: 77 times
The red arrows mean the lines are parallel. Since all angles are equal, the larger triangle is similar to the smaller one. Then corresponding sides have the same ratio
(4x -2)/9 = (3x+2)/12
x(4/9 -3/12) = (2/12) +(2/9)
x = (7/18)/(7/36) = 2 . . . . . . . . . corresponding to the 3rd selection
Answer:
a) 5.83 cm
b) 34.45°
Step-by-step explanation:
a) From Pythagoras theorem of right triangles, given right triangle ABC:
AB² + BC² = AC²
Therefore:
AC² = 5² + 3²
AC² = 25 + 9 = 34
AC = √34
AC = 5.83 cm
b) From triangle ACD, AC = 5.83 cm, AD = 4 cm and ∠A = 90°.
From Pythagoras theorem of right triangles, given right triangle ACD:
AD² + AC² = DC²
Therefore:
DC² = 5.83² + 4²
DC² = 34 + 16 = 50
DC = √50
DC = 7.07 cm
Let ∠ACD be x. Therefore using sine rule:
Answer:
2 and 2
Step-by-step explanation:
Parallel sides of rectangles are congruent, and because the other side of both rectangles is 2, the sides of the triangle are 2 because they share the side with the rectangle.
1st number: 0
2nd number: 17
Answer
Step-by-step explanation:
3x+2y=34 x is the first number, y is the second.
1/2x+2y=34 multiply each number by two to get rid of the integer by the variable x.
x+4y=68 solve for x.
x=68-4y add this into the first equation to solve for variable y.
3(68-4y)+2y=34 solve for y.
204-10y=34
-10y= -170
y=17
now to solve for x
x= 68-4(17)
x= 0
