Two parallel lines, e and f, are crossed by two transversals. What is the measure of <15? m<15 = 77° m<15 = 83° m<15
= 93° m<15 = 97°
2 answers:
Answer:
The correct option is 4.
Step-by-step explanation:
Given information: and
.
If a transversal line intersects two parallel lines, then alternate exterior angles are same.
In the given figure line e and f are parallel to each other. The transversal line d intersects the parallel lines.
Since angle 10 and angle 15 are alternate exterior angles, therefore
Therefore measure of angle 15 is 97 degrees and option 4 is correct.
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Order (B) 5 × 6 of the matrix can be multiplied by matrix a to create matrix ab.
<h3>What is a matrix?</h3>- A matrix is a rectangular array or table of numbers, symbols, or expressions that are organized in rows and columns to represent a mathematical object or an attribute of such an object in mathematics.
- For instance, consider a matrix with two rows and three columns.
To find the order of matrix:
- We must first check the dimension of two matrices, say matrix A by matrix B, before we may multiply them.
- Multiplication is achievable if the number of columns in the first matrix, A, equals the number of rows in the second matrix.
- Dimension is assigned to the provided matrix: 6 × 5
- This means the given matrix contains six rows and five columns.
- As a result, the second matrix MUST have 5 rows in order for multiplication to be POSSIBLE.
- The only matrix with 5 rows among the above alternatives is the matrix with dimension (B) 5 × 6.
To prove:
- In other words, the inner products of the dimensions should be equal.
- That is; (a × b)(b × a) is possible but (a ×b)(c × b) is impossible.
- The dimensions of the matrix are given by, row × column.
Therefore, order (B) 5 × 6 of the matrix can be multiplied by matrix a to create matrix ab.
Know more about matrix here:
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