9514 1404 393
Answer:
15 in, 36 in, 39 in
Step-by-step explanation:
The Pythagorean theorem tells us that for short side x, the relation is ...
(2x +9)² = (2x +6)² +x²
4x² +36x +81 = 4x² +24x +36 +x²
x² -12x -45 = 0 . . . . . subtract the left-side expression
(x -15)(x +3) = 0 . . . . factor
x = 15 . . . . . . . . . . . the positive value of x that makes a factor zero
The side lengths of the triangle are 15 inches, 36 inches, and 39 inches.
X = -4
As g(x) is replaced by g(-4)
plug in -4 for x inside the equation.
g(-4) = (-4) - 1g(-4) = -5
Plug in -4 for x in f(x)f(-4) = 4(-4) - 4f(-4) = -16 - 4f(-4) = -20
Now solve for f(x) over g(x)
remember, f(x) = -20, and g(x) = -5
-20/-5 = 4
4 should be your answer
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Answer:
<h2>
</h2>
Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about</h3>
- area of triangles
- area of rectangle
- PEMDAS
<h3>tips and formulas:</h3>
- rectangle opposite sides are equal
- area of rectangle:l×w
- area of triangle:½×h×b
<h3>let's solve:</h3>
the area of the rectangle is
4×7 in²
28 in²
the area of above triangle is
½×6×7 in²
3×7 in²
21 in²
the area of left side triangle is
½×5×4 in²
2×5 in²
10 in²
therefore,
the area of the polygon is
28+21+10 in²
<h3>59 in²</h3>
ANSWER
EXPLANATION
Since line l is parallel to line m,
because the two angles are vertically opposite angles.
because the two angles are corresponding angles.
because the two angles are alternate exterior angles.