If matrix a has dimensions 2 x 4 and matrix b has dimensions 1 x 4, can these matrices be multiplied?
yes or no

No, This matrices cannot be multiplied.

Step-by-step explanation:

If Matrix A has dimensions 2 x 4 and Matrix B has dimensions 1 x 4.

Dimension of matrix A = 2 x 4

Dimension of matrix B = 1 x 4

Multiplication rule.

Two matrices can only be multiplied when row number of one matrix equal to column number of other matrix.

In this case only 4 is common but both of them are column numbers. So these matrices cannot be multiplied.

No, This matrices cannot be multiplied.

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

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