Answer:
Not congruent; not congruent; congruent; congruent; not congruent; not congruent
Explanation:
In order to be congruent, the side lengths of both triangles must be equal.
The base of triangle ABC is 2 units. The base of triangle MNP is also 2 units. The height of triangle ABC is 3 units; but the base of triangle MNP is not 3 units, it is 4. The triangles are not congruent.
Similarly, both ABC and EFG have a base of 2 units. However, the height of ABC is 3 while the height of EFG is 4; the triangles are not congruent.
The bases of ABC and STU are both 2 units, and the height of each is 3 units. The triangles are congruent.
The base of EFG is 2, as is the base of MNP. Both triangles also have a height of 4; the triangles are congruent.
The base of EFG is 2 units, as is the base of STU. However, the height of EFG is 4 while the height of STU is 3; the triangles are not congruent.
The base of STU is 2 units, as is the base of MNP. However, the height of STU is 3 while the height of MNP is 4; the triangles are not congruent.
Answer:
0.0538% (3 sf)
Step-by-step explanation:
annual = 1 yr = 12 months = 52 weeks
2.8% / 52 = 0.053846153
7.154 is your answer to 0.98 times 7.3
Answer: {x,y}={-1,2}
step-by-step explanation:
// Solve equation [2] for the variable x
[2] 2x = 5y - 12
[2] x = 5y/2 - 6
// Plug this in for variable x in equation [1]
[1] 2•(5y/2-6) + 3y = 4
[1] 8y = 16
// Solve equation [1] for the variable y
[1] 8y = 16
[1] y = 2
// By now we know this much :
x = 5y/2-6
y = 2
// Use the y value to solve for x
x = (5/2)(2)-6 = -1
Solution :
{x,y} = {-1,2}
If the unknown side is a leg, the hypotenuse must be 26 (the longest of the other two sides). Then the Pythagorean theorem tells you
... 26² = 24² + y²
... y = √(26² -24²) = √100 = 10
The appropriate choice is
... 10
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You may recognize that this triangle is double the often-used Pythagorean triple (5, 12, 13).