Answer:
- ∠B and ∠F
- ∠F and ∠E . . . already listed in the problem statement, so may not be considered an "other pair"
Step-by-step explanation:
∠C and ∠F are vertical angles, so are congruent. Then any angle complementary to one of those will also be complementary to the other.
Likewise, ∠B and ∠E are vertical angles and congruent. Any angle complementary to one of them will also be complementary to the other. Here, ∠E and ∠F are listed as complementary, so we know ∠B and ∠F will be also.
Answer:
The value of square root of 578
√578 = 24.0416
which is near about equal to 24
Also, the square of 24 is equal to 576.
Thus, Navigator is correct because both values are approximately equivalent.
<em>If the values are much less or more than the 576 then Navigator mist give the more precise answer.</em>
Answer:
B. (3, -2)
Step-by-step explanation:
The solution of the system of the equations given, can be determined using the graph. The coordinate of the point where the two lines of both equations intersect is the solution.
Both lines intersect at x = 3, when y = -2.
Therefore, the solution would be (3, -2).
By using a change of units, we can see that the rate in dollars per liter is:
R = $0.0027 per liter.
<h3>
How to convert the rate?</h3>
Here we have a rate in dollars per cubic foot, and we want to rewrite this in dollars per liter. So we just need to apply a change of units.
The original rate is in dollars per square foot, and it is given by:
R = $1.30 for 16.7ft^3
We know that the relation between cubic feet and liters is:
1ft^3 = 28.32 L
Then, if we apply a change of units, we can rewrite the volume as:
16.7ft^3 = 16.7*(28.32) L = 472.9 L
Then the rate is $1.30 per 472.9 L, taking the quotient we get:
R = ($1.30/472.9 L) = $0.0027 per liter.
If you want to learn more about changes of units:
brainly.com/question/9032119
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Answer:
(32/5, -48/5)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Terms/Coefficients
- Coordinates (x, y)
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
-4x + 16 = y
2x - 32 = 2y
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 2x - 32 = 2(-4x + 16)
- Distribute 2: 2x - 32 = -8x + 32
- [Addition Property of Equality] Add 8x on both sides: 10x - 32 = 32
- [Addition Property of Equality] Add 32 on both sides: 10x = 64
- [Division Property of Equality] Divide 10 on both sides: x = 32/5
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: -4x + 16 = y
- Substitute in <em>x</em>: -4(32/5) + 16 = y
- Multiply: -128/5 + 16 = y
- Add: -48/5 = y
- Rewrite/Rearrange: y = -48/5