The square root of 144=12
169=13
the difference is 13-12=1
Answer:
Range = {5, 7, 9}
Step-by-step explanation:
<em>Range is the set of values that are the results of respective values of x when placed in the function f(x).</em>
f(3) = 2 × 3 - 1
f(3) = 6 - 1
f(3) = 5
f(4) = 2 × 4- 1
f(4) = 8 - 1
f(4) = 7
f(5) = 2× 5 - 1
f(5) = 10 - 1
f(5) = 9
Therefore, the range is the set of all these values :-
<u>Range = {5, 7, 9}</u>
Answer:
3
Step-by-step explanation:
Step-by-step explanation: In this problem, notice that we're only given one pair of congruent angles, the 90 angles, but remember that the sum of the measures of the angles of a triangle is 180°.
So we can determine that the measure of the missing angle
of our first triangle is 40° because 90 + 50 + 40 = 180.
Now we have two pairs of congruent angles,
the 40° angles, and the 90° angles.
Therefore, since two of the angles of one triangle are congruent to
two of the angles of the other triangle, we can say that yes, the
triangles are similar by the Angle-Angle Similarity Postulate (AA~).
9514 1404 393
Answer:
Step-by-step explanation:
Let 'a' and 'p' stand for the prices of apple and pumpkin pies, respectively. Then the two sales are described by ...
4a +5p = 86
8a +2p = 92
Subtract half the second equation from the first to eliminate the 'a' variable.
(4a +5p) -(1/2)(8a +2p) = (86) -(1/2)(92)
4p = 40 . . . . . simplify
p = 10 . . . . . . . divide by 4
Substitute into the first equation:
4a + 5(10) = 86
4a = 36 . . . . . subtract 50
a = 9 . . . . . . . divide by 4
One apple pie costs $9; one pumpkin pie costs $10.