If DEF ~= PQR, which congruences are true by CPCTC? Select all that apply.

Mathematics

1 answer:

tatyana61 [14]3 years ago

6 0

Answer:

A, C, E, F

Step-by-step explanation:

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kirill [66]

Step-by-step explanation:

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3 years ago

The opposite sides of a parallelogram have measures (2x+10) cin and (x+15)

xz_007 [3.2K]

Answer:

The measure of the sides is 20 cm.

Step-by-step explanation:

Opposite side of a parallelogram:

Opposite sides of a parallelogram are congruent, that is, they have the same measure.

Measures (2x+10) cm and (x+15) cm:

This means that:

$2x + 10 = x + 15$

$2x - x = 15 - 10$

$x = 5$

2x + 10 = 2*5 + 10 = 10 + 10 = 20

The measure of the sides is 20 cm.

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3 years ago

What is the equation of the line that is perpendicular to y= -3x + 1 and passes through (2,3)?

Aleonysh [2.5K]

Answer:

$\large\boxed{y=\dfrac{1}{3}x+2\dfrac{1}{3}}$

Step-by-step explanation:

$\text{Let}\ k:y=_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\============================\\\\\text{We have}\ y=-3x+1\to m_1=-3.\\\\\text{Therefore}\ m_2=-\dfrac{1}{-3}=\dfrac{1}{3}.\\\\\text{The equation of the searched line:}\ y=\dfrac{1}{3}x+b.\\\\\text{The line passes through }(2,\ 3).$

$\text{Put the coordinates of the point to the equation.}\ x=2,\ y=3:\\\\3=\dfrac{1}{3}(2)+b\\\\3=\dfrac{2}{3}+b\qquad\text{subtract}\ \dfrac{2}{3}\ \text{from both sides}\\\\b=2\dfrac{1}{3}$