Answer:
x=1.25
Step-by-step explanation:
Let us replace the number with the variable "x". You will then get this equation:
8x-2=8
Move the -2 to 8 and you would get the equation:
8x=8+2
Simplify:
8x=10
Simplify:
x=10/8
You would then get the answer "x=1.25"
I hope this helps :)
Use compatible numbers to find two estimates that the quotient is between. For example:
1,624 divided by 3
<span> 1500 / 3 = 500 </span>
<span>1800 / 3 = 600</span>
9514 1404 393
Answer:
True; about 120° CCW rotation about Q
Step-by-step explanation:
Triangle A'B'C' appears to be congruent to triangle ABC and about the same distance from point Q. The angle of rotation from ABC to A'B'C' appears to be about 120° counterclockwise when measured using a geometry program.
Triangle A'B'C' is the image of triangle ABC under rotation about 120° CCW about point Q.
_____
<em>Additional comment</em>
If choices of rotation angle are ±135° or ±165°, the best choice would be ...
135°
To answer this item, we make use of the equation derive from the Pythagorean theorem for right triangles which states that the square of the hypotenuse (the longest side) is equal to the sum of the squares of the two shorter sides. If we let x be the measure of both the shorter sides (we call this as legs), we have,
(14 in)² = (x²) + (x²)
Simplifying the equation,
196 in² = 2x²
Divide both sides of the equation by 2,
98 in² = x²
To get the value of x, we get the square root of both sides of the equation,
x = sqrt (98) = 7√2 inches
Hence, the measure of each leg of the right triangle is 7√2 inches or approximately 9.9 inches.
