Eastern time is 1 hour ahead of Central time, so 12:30pm Central time would be 1:30pm Eastern time.
Now the travel time is from 1:30pm to 3:00 pm Eastern time.
This is 1 hour 30 minutes.
Answer:
r = 4
Step-by-step explanation:
If we clearly observe a point and the slope of the line are given.
Point=(5, -6) slope= -5
We know that the equation of the line having slope m and passing through point () is
Now the equation of the line is
Now given that (3,r) lies on this line
r = 4
9
24
69
144
Answer:
69
Step-by-step explanation:
there will be 69 total parking spaces if there are 30 in the front row
Answer:
69
Step-by-step explanation:
Answer:
LETTER ANSWERR IS A.
Step-by-step explanation:
Using the Pythagorean Theorem, we find that x = 10.
To find the value of x, we can use the Pythagorean Theorem. The Pythagorean Theorem states that in any right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.
In this case, the hypotenuse is x, and the legs are 6 and 8. Therefore, we can write the Pythagorean Theorem as follows:
x^2 = 6^2 + 8^2
x^2 = 36 + 64
x^2 = 100
x = sqrt(100)
Therefore, the value of x is 10.
Here is a more detailed explanation of the Pythagorean Theorem:
The Pythagorean Theorem is a mathematical formula that describes the relationship between the three sides of a right triangle. It states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In other words, if a right triangle has sides of length a, b, and c, where c is the hypotenuse (the longest side), then the following equation holds:
c^2 = a^2 + b^2
This equation can be used to find the length of any side of a right triangle, given the lengths of the other two sides.
For example, if we know the lengths of the legs of a right triangle, we can use the Pythagorean Theorem to find the length of the hypotenuse. Or, if we know the length of the hypotenuse and one of the legs, we can use the Pythagorean Theorem to find the length of the other leg.
The Pythagorean Theorem is one of the most important theorems in mathematics, and it has many applications in geometry, trigonometry, and physics. It is also used in many real-world applications, such as surveying, construction, and navigation.
For such more questions on Pythagorean
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m∠A=3x+105 ; m∠B=−6x−39 Given
m∠A+m∠B=90° Definition of complementary angles
3x+105−6x−39=90 Substitution Property of Equality
−3x+105−39=90 Simplify.
−3x+66=90 Simplify.
−3x=24
x=−8
m∠B=−6(−8)−39
m∠B=48−39 Simplify.
m∠B=9°
Answer:
Statement: -3x=90-66
Reason: By subtraction property of equality..
Statement: -3x=24
Reason: By simplification.
Statement: x=
Reason: By division property of equality.
Statement:
Reason: By substitution property of equality.
Statement:
Reason: By simplification.
Step-by-step explanation:
Given and
are complementary angles.
To prove that
Proof:
1.Statement: are complementary angles .
Reason: Given .
2.Statement: ;
Reason: Given .
3. Statement:
Reason: By definition of complementary angles.
4.Statement:
Reason: By substitution property of equality.
5. Statement:
Reason: By simplification.
6. Statement:
Reason: By simplification.
7. Statement:
Reason: By subtraction property of equality .
8.Statement:
Reason: By simplification.
9.Statement:
Reason : By division property of equality.
10. Statement: x=-8
Reason: By simplification.
11. Statement:
Reason : By substitution property of equality.
12. Statement:
Reason: By simplification.
13. Statement:
Reason : By simplification.
Hence,
Hence proved.
Given: and
are complementary angles.
and
.
To prove:
Proof:
Statement 1: and
are complementary angles.
Reason 1: Given
Statement 2: and
.
Reason 2: Given
Statement 3:
Reason 3: Definition of complementary angles.
Statement 4:
Reason 4: Substitution property of equality
Statement 5:
Reason 5: Simplification
Statement 6:
Reason 6: Simplification
Statement 7:
Reason 7: Simplification
Statement 8:
Reason 8: Multiplication property of equality
Statement 9:
Reason 9: Substituting the value of 'x'
Statement 10:
Reason 10: Simplification