Answer:
c = 96°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
c is an exterior angle, thus
c = 50° + 46° = 96°
Answer:
1. 52° + x° + 67° = 180°
2. x° + 22° = 90°
Step-by-step explanation:
1. In the first figure,
Since the angles given are supplementary angles i.e. their sum is 180°
So, we get,
52° + x° + 67° = 180°
i.e. x° = 180° - 119°
i.e. x° = 61°
Thus, the expression to find the value of x is 52° + x° + 67° = 180°.
2. In the second figure,
Since the angles given are complementary angles i.e. their sum is 90°
This gives us,
x° + 22° = 90°
i.e. x° = 90° - 22°
i.e. x° = 68°
Hence, the expression to find the value of x is x° + 22° = 90°
Answer:
Length = 45.37 in
Width = 30.56 in
Step-by-step explanation:
Let the width of the picture be 'w' inches.
Given:
Perimeter of the picture is, 
Length is 15.75 inches shorter than twice the width. So, length is:
Now, we know that the perimeter of a rectangular shape is given as the sum of all of its side. So, the picture is also of rectangular shape and hence the perimeter is given as:
Plug in the values of 'l' and 'P' and solve for 'w'. This gives,
Therefore, the width of the rectangular picture is 30.56 inches.
Length of the picture is, 
So, length of the picture is 45.37 inches and width is 30.56 inches.
Answer:
x =6
Step-by-step explanation:
17x + 8 + 66 + 74 +110 = 360
17x + 258 =360
17x = 360 -258
17x =102
x =6
Answer:
Step-by-step explanation:
- a. -9+2, in this case, it is -7 because you take the bigger number and subtract it by the lower number. If the bigger number is negative your answer will be negative, if the bigger number is positive it will be positive it is just really a basic subtraction problem just add the sign.
- b. In multiplication +++=+ ++-=- and a -+-=+ do your problem without thinking about the signs and then add the signs with the formula I showed you.
Hope this helps :)!
