Select the correct answer. Which inequality represents all the solutions of -2(3x+6) = 4(x +7)
1 answer:
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Answer:
The cost of one canteen is $7.5
Step-by-step explanation:
We are given the following in the question:
Each brother purchase a new par of boots and two canteens.
Cost of one hiking boots = $34.00
Total cost of hiking boots =
Let x dollars be the cost of one canteen.
Number of canteens bought by both brother = 4
Total bill = $98.00
Thus, we can write the equation:
Solving the equation, we get,
Thus, the cost of one canteen is $7.5
The drawing shows that angles BAD and CAD are congruent, which means that the line segment AD bisects the angle BAC. By the angle bisector theorem,
But AB and AC are also shown to be congruent, so the right hand side reduces to 1, and we have , which means CD and BD are also congruent.
AD is congruent to itself and happens to be a part of two triangles, ABD and ACD.
So by the side-side-side postulate, the triangles ABD and ACD are congruent, which means corresponding parts (sides and angles) are congruent to each other. And because triangles ABD and ACD are congruent, the "total" triangle ABC is isosceles, and AD must be perpendicular to BC. This last observation means that .
In any triangle, the interior angles must sum to 180 degrees, so we have