Answer:
7) 7<x<17
8 2.1<x<4.1
9) 0<x<54
10) 7.9<x<35.9
Step-by-step explanation:
you solve by finding the smallest side lengrh which will be the longer length- the shorter, as if the triangle were extremely tiny and all the sides were touching but the third would only be able to be as short as the difference, then for the maximum length as if the triangle were stretches out as much as possible, you add together the lengths because that's the furthest the third could stretch out, remember they will always be less then or greater then, never equal too as well, they can't reach that length other wise it would just be a line
Answer:
$28.05
Step-by-step explanation:
Since the sale price is 18% off, this means we pay 100-18 = 82% of the original price. 82% = 82/100 = 0.82; using x as the original price, we can set up the equation
0.82x = 23
Divide both sides by 0.82:
0.82x/0.82 = 23/0.82
x = 28.05
Answer:
<em>The larger angle formed at the intersection of the bike trail and 360th street is</em><em> 132°</em>
Step-by-step explanation:
From the diagram, street 350 and street 360 are parallel. The bike trail it the transversal to the parallel streets.
We know that, Alternate interior angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal. And when the two lines being crossed are parallel lines the alternate interior angles are equal.
So 
Angle 2 and angle 3 are supplementary angles, so

As
, so the larger angle formed at the intersection of the bike trail and 360th street is 132°.
Answer:
8 and 9
Step-by-step explanation:
8 x 9 = 72
The two consecutive positive integers whose product is 72 are 8 and 9