Answer:
The smaller number is 4
Step-by-step explanation:
Larger number = x
Smaller number = y
Write 2 equations
y + 6 = x
2x = 5y
Substitute x in the first equation to the second equation
2(y + 6) = 5y
Multiply 2(y + 6)
2y + 12 = 5y
Subtract 2y from both sides of the equation
12 = 3y
Divide both sides of the equation by 3
y = 4
x = y + 6 = 4 + 6 = 10
The smaller number is 4
Hope this helps :)
Answer:
Step-by-step explanation:
Yes
Theorem 8.3: If two angles are complementary to the same angle, then these two angles are congruent.
∠A and ∠B are complementary, and ∠C and ∠B are complementary.
Given: ∠A and ∠B are complementary, and ∠C and ∠B are complementary.
Prove: ∠A ~= ∠C.
Statements Reasons
1. ∠A and ∠B are complementary, and ∠C and ∠B are complementary. Given
2. m∠A + m∠B = 90º , m∠C + m∠B = 90º Definition of complementary
3. m∠A = 90 º - m∠B, m∠C = 90º - m∠B Subtraction property of equality
4. m∠A = m∠C Substitution (step 3)
5. ∠A ~= ∠C Definition of ~=
Answer: a) 1.1962
after sig figs it’s 1.2
b) 0.4321
after sig figs it’s 0.43
Step-by-step explanation:
Answer:
11-C
Step-by-step explanation:
Cause 11-C
equels the same amount as the one on the top of 11-C
Answer:
A. at (8,7) the maximum value is 98
Step-by-step explanation:
First draw the region, that is bounded by all
inequalities. This is the triangle with vertices
(6,1), (2,5) and (8,7).
Now you can see where the line f(x,y)=7x+6y
intersect this region. The maximum value will be
at endpoints of this region:
• at (6,1), f(6,1)=7-6+6-1=42+6=48;
·
at (2,5), f(2,5)=7·2+6.5=14+30=44;
• at (8,7), f(8,7)=7.8+6-7=56+42=98.
Thus, the maximum value of the function is 98 at
the point (8,7).
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