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2 years ago

Triangle RST has angles measuring 38° and 75°.Triangle R'S'T' has angles measuring 67° and 38°.

1 answer:

7 0

The third angle of triangle RST is 180-38-75 = 67
which is one of the given angle of the second triangle. 
So both triangles have the same angles and the sides are proportional. 
The two triangles are similar, therefore one is a dilation of the other.

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An item is regularly priced at $85. Tom bought it at a discount of 15% off the regular price

skelet666 [1.2K]

Answer:

$72.25

Step-by-step explanation:

85 x (1-.15) = answer

85 x .85 = 72.25

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2 years ago

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If a = 4 and b = 2, what is the value of the following expression?

Nadya [2.5K]

Answer:

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Step-by-step explanation:

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Use a matrix equation to solve the system of linear equations. left brace Start 2 By 1 Matrix 1st Row 1st Column 2nd Row 1st Col

natali 33 [55]

Answer:

$\left[\begin{array}{ccc}3&-1&\\-1&1/2\\\end{array}\right]$

Step-by-step explanation:

The matrix system for the linear equations: x + 2y = 8, 2x + 6y = 9

$\left[\begin{array}{ccc}1&2&\\2&6\\\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}8\\9\end{array}\right]$

To get the coefficient of x and y, the inverse of the first matrix (let the first matrix be A) must be known.

$A^{-1}$ = (1 / determinant of A) x Adjoint of A

the determinant of A = (1 x 6) - (2 x 2) = 6 - 4 = 2

Adjoint of A = $\left[\begin{array}{ccc}6&-2&\\-2&1\\\end{array}\right]$

$A^{-1}$ = $\frac{1}{2} \left[\begin{array}{ccc}6&-2\\-2&1\end{array}\right]$ = $\left[\begin{array}{ccc}3&-1&\\-1&1/2\\\end{array}\right]$

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2 years ago