Answer:
(x, y) = (2, 9)
Step-by-step explanation:
For the triangles to be congruent, the hypotenuses must be the same length:
y = x + 7
and the marked leg must be the same length in each triangle:
y -3 = 4x -2
These are two equations in two unknowns (a "system" of equations) that can be solved in any of the usual ways. Since the first equation gives an expression for y, it is convenient to substitute that into the second equation:
(x +7) -3 = 4x -2
x +4 = 4x -2 . . . . . . collect terms
x +6 = 4x . . . . . . . . .add 2
6 = 3x . . . . . . . . . . . subtract x
2 = x . . . . . . . . . . . . divide by 3
y = 2 + 7 = 9 . . . . . .substitute for x in the first equation
The values you're looking for are x = 2, y = 9.
The area of a pyramid is the sum of area of the base and the area of slant triangles.
The area of the base is 1.5 × 1.5 = 2.25 cm²
The slant height of each triangle, s is 3 cm
The area of the triangles = 1/2 × 1.5 × 3 × 4
= 9 cm²
Therefore, the area of the pyramid
=9 +2.25
= 11.25 cm²
Answer:
18 weeks
Step-by-step explanation:
80+15x=350
15x=270
x=270/15
x=18
Answer:
-4, 4
Step-by-step explanation:
it seems the most reasonable answer since the dot is not super close to the 6, 6 and it isnt close enough to be 1, 5 or 5, 1 so the answer must be -4, 4
Answer:
Step-by-step explanation:
The sum of the interior angles of an n gon is found by using the following formula.
(n-2)*180 = sum of the interior angles.
(n - 2) * 180 = 3960 Divide by 180
(n - 2) 180/180 = 3960/180 Show the division
n - 2 = 22 Add 2 to both sides.
n -2+2=22+2 Combine
n = 24
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To find the size of each angle, use
(n - 2)*180/n
(24 - 2)*180/24
22 * 180/24
3960/24 = 165
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another way
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You already know there are 24 sides. You are given the sum of the interior angles as 3960
All you really need to do is 3960/24 = 165
