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Phantasy [73]
3 years ago
10

Two boys earn money mowing lawns. Jacob mowed 12 lawns this week. He mowed 3 times as many lawns as Kevin mowed. In which equati

on does the box represent the number of lawns Kevin mowed?
Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
3 0

Answer:

Kevin mowed 4 lawns

Step-by-step explanation:

Let the number of lawns Kevin mowed be x.

12 = 3x

x = 4

Topic: Algebraic equations

If you would like to venture further into mathematics, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

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3 years ago
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erastova [34]

Let us prove that angle 1 is complementary to angle 3 step by step.

1. We have been given that angle 1 is complementary to angle 2.

2. Since we know that complementary angles add up to 90 degrees, therefore, by the definition of complementary m\angle 1+ m\angle 2=90^{o}.

3. We have been also given that line segment  BD bisects \angle ADC.                

4. By the definition of bisect \angle 2 \cong \angle 3.

5. Angles are congruent if their measures, in degrees, are equal, therefore, by angle congruence postulate  m\angle 2=m\angle 3.        

6. m\angle 1+ m\angle 2=90^{o}

Upon substituting m\angle 2=m\angle 3 in above equation we will get,

m\angle 1+ m\angle 3=90^{o}  

Therefore, by substitution property of equality m\angle 1+ m\angle 3=90^{o} .

Hence, proven that angle 1 is complementary to angle 3.

4 0
4 years ago
Factor the expression completely.<br> 15x2 - 40x-15
nadya68 [22]

Answer:

630

Step-by-step explanation:

15×2=30

40×(-15)=-600

30-(-600)=630

8 0
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Answer:

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Step-by-step explanation:

ap/2

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