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spayn [35]
3 years ago
12

How do I solve this problem?

Mathematics
1 answer:
MakcuM [25]3 years ago
4 0
Remember mᵃ.mᵇ = mᵃ⁺ᵇ (m and m should be the SAME)

And m⁻ᵃ = 1/mᵃ

Hence

(a⁴.b⁻²).a³ = b⁴/a⁵

a⁴⁺³.b⁻² = b⁴/a⁵

a⁷./b² =  b⁴/a⁵

Cross multiplication:

a⁷.a⁵ = b⁴.b²
a⁷⁺⁵ = b²⁺⁴
a¹² = b⁶



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8 0
3 years ago
One angle of a triangle has a measure of 36°. The measure of the third angle is 28° less than 3 times the measure of the second
Alex_Xolod [135]

Answer:

  1. Define your variable and write your equation:  36 + b + (3b-28) = 180°.
  2. measure of the second angle: 43°.
  3. measure of the third angle: 101°

Step-by-step explanation:

a = 36

c = 3b - 28

a + b + c = 180°

a = measure of the first angle

b = measure of the second angle

c = measure of the third angle

then:

1)  36 + b + (3b-28) = 180   ⇒ )Define your variable. Write your equation and solve)

b + 3b + 36 - 28 = 180

4b + 8 = 180

4b = 180 - 8

4b = 172

b = 172/4

2)   b = 43°        ⇒   measure of the second angle

c = 3b - 28

c = 3*43 - 28

c = 129 - 28

3) c = 101°      ⇒   measure of the third angle

Check:

36° + 43° + 101° = 180°

8 0
3 years ago
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garri49 [273]

Answer:

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Step-by-step explanation:

Let the normal price be p.  The "25%-off" sale price is then 0.75p, and this 0.75p equals 45 pounds.  Dividing both sides by 0.75 results in p = 60 pounds.

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Vlada [557]
3. C
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hope this helps:)
3 0
3 years ago
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