Answer:
-10w-20
Step-by-step explanation:
Distribute inside parenthesis,
5x 2w
5x-4
<h3>
Answer: 3.6</h3>
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Explanation:
We use the cosine ratio here. Make sure your calculator is in degree mode.
cos(angle) = adjacent/hypotenuse
cos(69) = x/10
10*cos(69) = x
x = 10*cos(69)
x = 3.583679495453 which is approximate
x = 3.6
Answer:
Margin on dog food toys is more than margin on bags of dog food.
Step-by-step explanation:
Given information:
Sale of bags of dog food = 4000 per week
Margin on bags of dog food = 30%
Total margin on bags of dog food is

Sale of dog food toys = 3000 per week
Margin on dog food toys = 45%
Total margin on dog food toys is

Since 1350 > 1200, therefore margin on dog food toys is more than margin on bags of dog food.
Answer:
see explanation
Step-by-step explanation:
Given
- 
Before subtracting the fractions, we require them to have common denominator.
Multiply the numerator/denominator of the second fraction by - 1
×
= 
We now have
-
← common denominators
=
+ 
= 
= 
Answer:
a) Angles that are congruent are complementary to the same angle
Step-by-step explanation:
Considering the figure attached:
Two angles are complementary if their sum is 90°
given that :
∠KJM = ∠KLM = 90° --- (1)
∠KJC ≅ ∠MLC
⇒ ∠KJC = ∠MLC ---- (2)
∠KJM = ∠KJC + ∠CJM
so by (1) above eq becomes
∠KJC + ∠CJM = 90° --- (3)
Similarly for ∠KLM
∠KLM = ∠KLC + ∠MLC
∠KLC + ∠MLC = 90° ---- (4)
Substitute (2) in (4)
∠KLC + ∠KJC = 90°
Which proves that ∠KLC and ∠KJC are complementary angles
So,
Angles that are congruent are complementary to the same angle