remember that when multiplying indices, you add the powers. When dividing indices, remember that you subtract the powers. When taking the power of a number which has already been raised to a power, you must multiply the values of these powers. Any value raised to the power of 0 is equal to 1.
<h3>Answers:</h3><h3>x = 1 or x = 16</h3>
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Work Shown:
Draw out a rectangle that is 32 units wide horizontally and 8 units tall vertically.
Then draw out another rectangle that is 4 meters wide horizontally and x meters tall vertically.
The horizontal and vertical sides pair up to form these fractions: 32/4 and 8/x
Set the fractions equal to one another. Solve for x
32/4 = 8/x
32x = 8*4 ... cross multiply
32x = 32
x = 32/32 ... divide both sides by 32
x = 1
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Somewhere else on your paper, draw the same 32 by 8 rectangle to make 32 the horizontal component
Next to this rectangle, draw a rectangle that has x as the horizontal part and 4 as the vertical. Note the swap here.
We now have this equation to solve for
32/x = 8/4
once again, note the swap
Let's solve for x
32/x = 8/4
32*4 = 8*x
128 = 8x
8x = 128
x = 128/8
x = 16
Answer:
D) ΔPNK ≅ ΔIKN by SAS
Step-by-step explanation:
The Side Angle Side (SAS) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
In this case, the congruent sides are IK with NP and NK with itself. And the included angle is ∠K in ΔIKN and ∠N in ΔPNK.
Answer:
Step-by-step explanation:
c
Answer:
32m tall
Step-by-step explanation:
10m=8m
40m=x
x=8*40/10
x=32 m
