<u>Answer:</u>
The correct answer option is 'not congruent'.
<u>Step-by-step explanation:</u>
We are given two right angled triangles and we to to determine if their congruence can be proved by any postulate.
Two right angled triangles are said to be congruent if the hypotenuse and one leg of a right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle.
While here, the hypotenuse of each of the triangles are not equal and neither their corresponding legs.
Therefore, these triangles are not congruent.
Answer:
4 * 10^6
Step-by-step explanation:
3,796,742 is about 4,000,000
4 * 10^? = 4,000,000
4 to 4,000,000 is an extra 6 zeroes
? = 6
4 * 10^6
9514 1404 393
Answer:
a factor of 2 is shown, but 4 was factored out
Step-by-step explanation:
The difference of squares is factored as ...
a² -b² = (a +b)(a -b)
Then the given difference of squares factors as ...
144x² -100 = (12x)² -10² = (12x +10)(12x -10)
Each of these factors has a factor of 2 that can be factored out:
= (2(6x +5))(2(6x -5))
= (2·2)(6x +5)(6x -5)
= 4(6x +5)(6x -5)
The first factor should be 4, not 2.
To determine the cost of each item, we need to set up equations. From the problem statement, we have three unknowns so we need three equations. We set up equations as follows:
let x cost of small pizzas
y cost of soda
z cost of salad
two small pizzas, a liter of soda, and a salad cost $14
2x + y + z = 14
one small pizza, a liter of soda, and three salads cost $15
x + y + 3z = 15
three small pizzas, a liter of soda, and two salads cost $22
3x + y + 2z = 22
Solving for x, y and z, we will have:
x = $ 5
y = $ 1
z = $ 3
