JIG is clockwise around the figure, as is DEF, so there is no reflection involved. The midpoint between any two corresponding vertices is (1, 4), so that is the center of rotation. Figure DEF is "upside down" from JIG, so rotation is 180°.
The 1st selection is appropriate.
Answer:
You add the numerators so 5 + 5 is 10. So its 10/9. We only added the numerators because the denominators were the same. So then 10/9 simplified by minusing 9 from ten because ten is the denominator the answer is:
1 1/9
Step-by-step explanation:
Answer:
Step-by-step explanation:
Charging by the quarter mile is for purpose of making that particular taxi service seem cheaper than the others when they post a per mile charge. If this taxi company is charging .50 per 1/4 mile, they are charging $2 per mile. So we will base our equation on the per mile charge, not the per quarter-mile charge. If x is the number of mile driven (our uknown), and we have a flat fee of $2.50 regardless of how many miles we are driven, the cost function in terms of miles is
C(x) = 2x + 2.50
If we are driven 5 miles, then
C(5) = 2(5) + 2.50 so
C(5) = 10 + 2.50 and
C(5) = $12.50
It would cost $12.50 to be driven 5 miles
Answer:
<em>The second figure ( rectangle ) has a longer length of it's diagonal comparative to the first figure ( square )</em>
Step-by-step explanation:
We can't confirm the length of these diagonals based on the appearance of the figure, so let us apply Pythagorean Theorem;
This diagonal divides each figure ( square + rectangle ) into two congruent, right angle triangles ⇒ from which we may apply Pythagorean Theorem, where the diagonal acts as the hypotenuse;
5^2 + 5^2 = x^2 ⇒ x is the length of the diagonal,
25 + 25 = x^2,
x^2 = 50,
x = √50
Now the same procedure can be applied to this other quadrilateral;
3^2 + 7^2 = x^2 ⇒ x is the length of the diagonal,
9 + 49 = x^2,
x^2 = 58,
x = √58
<em>Therefore the second figure ( rectangle ) has a longer length of it's diagonal comparative to the first figure ( square )</em>
1. Nintendo
2. A. True
3. A. Oscilloscope
