Answer:
11 inches by 11 inches
Step-by-step explanation:
The dimensions of the original photo were 11 inches by 11 inches.
We are informed that the area of the reduced photo is 64 square inches and that In the equation (x – 3)^2 = 64, x represents the side measure of the original photo.
In order to solve for x, we shall first take square roots on both sides of the equation;
The square root of (x – 3)^2 is simply (x - 3).
The square root of 64 is ±8 but we ignore -8 since the dimensions of any figure must be positive.
Therefore, we have the following equation;
x - 3 = 8
x = 8 + 3
x = 11
6y-8<10
6y<18 add 8 to both sides
y<3 divide both sides by 6
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°
Normally you would divide something like this by the cuts made. So if there were cuts of 2 inches on a 10 inch rope, then you should divide 10 by 2. It's the same with this:
Multiply by the reciprocal when you are dividing fractions.
