Approximately 13 children ride the bus 45 x 30 = 13.5
Answer:
m∠1 = 68°
m∠2 = 68°
m∠3 = 112°
m∠4 = 112°
m∠5 = 68°
m∠6 = 68°
m∠7 = 112°
Step-by-step explanation:
<u>Vertical Angle Theorem</u>
When two straight lines intersect, the opposite vertical angles are congruent.
<u>Corresponding Angles Postulate</u>
When a straight line intersects two parallel straight lines, the resulting corresponding angles are congruent.
<u>Angles on a Straight Line</u>
Angles on a straight line sum to 180°.
Applying the Vertical Angle Theorem and the Corresponding Angles Postulate:
⇒ m∠3 = m∠4 = m∠7 = 112°
To find the measure of angle 2, apply the Angles on a Straight Line theorem:
⇒ m∠2 = 180° - 112° = 68°
Applying the Vertical Angle Theorem and the Corresponding Angles Postulate:
⇒ m∠2 = m∠1 = m∠5 = m∠6 = 68°
17 is the total inches
17/2 is 8.5 multiplied by 3 is 25.5 miles which convert to 26
so the answer is C!
hope I helped!
Answer:
The value of AB is and it's not possible to multiply BA.
Step-by-step explanation:
Consider the provided matrices.
,
Two matrices can be multiplied if and only if first matrix has an order m × n and second matrix has an order n × v.
Multiply AB
Matrix A has order 2 × 2 and matrix B has order 2 × 1. So according to rule we can multiply both the matrix as shown:
Hence, the value of AB is
Now calculate the value of BA as shown:
Multiply BA
Matrix B has order 2 × 1 and matrix A has order 2 × 2. So according to rule we cannot multiply both the matrix.
We can multiply two matrix if first matrix has an order m × n and second matrix has an order n × v.
That means number of column of first matrix should be equal to the number of rows of second matrix.
Hence, it's not possible to multiply BA.
Answer: 11.636 = 12 tickets to a whole figure
Step-by-step explanation:
Let the number of adult tickets be x and y represent children tickets.
From the question;
x + y = 28 ....... equation (i)
(7.25*x) + (y*4.50) = 158
7.25x + 4.50y = 158 ........ equation (ii)
From equation (i);
x + y = 28
y = 28 - x ...... equation (iii)
Put equation (iii) into equation (ii)
7.25x + 4.50(28 - x) = 158
7.25x + 126 - 4.50x = 158
Collect like terms and subtract
2.75x = 32
x = 11.636 approximately 12 to a round number.
Put x = 11.636 into equation (i)
11.636 + y = 28
y = 28 - 11.636
y = 16.364 approximately 16 to a whole number