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4 years ago

11

Blake is playing a racing game on his computer. The game tracks the locations of objects using x and y coordinates (see graph be

low). Suddenly, Blake spots a shortcut that would take him straight to the finish line. How much shorter is the shortcut than the normal course?

1 answer:

MissTica4 years ago

3 0

Answer:

Step-by-step explanation:

10738

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Proving trapezoid theorems Geometry

Artist 52 [7]

Answer:

ΔABD ≅ ΔACD by SAS, therefore;

$\overline {BD} \cong \overline {CA}$ by CPCTC

Step-by-step explanation:

The two column proof is presented as follows;

Statement ${}$ Reason

ABCD is a trapezoid ${}$ Given

$\overline {BA} \cong \overline {CD}$ ${}$ Given

$\overline {BC} \parallel \overline {AD}$ ${}$ Definition of a trapezoid

ABCD is an isosceles trapezoid ${}$ Left and right leg are equal

∠BAD ≅ ∠CDA ${}$ Base angle of an isosceles trapezoid are congruent

$\overline {AD} \cong \overline {AD}$ ${}$ Reflexive property

ΔABD ≅ ΔACD ${}$ By SAS rule of congruency

$\overline {BD} \cong \overline {CA}$ ${}$ CPCTC

CPCTC; Congruent Parts of Congruent Triangles are Congruent

SAS; Side Angle Side rule of congruency

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What is the equation of a line perpendicular to y=2.5x+5

Sauron [17]

Answer:

y = -0.4 + c

Step-by-step explanation:

y = mx + c (original form)

m ⊥ - 1/m

2.5 = 25/10

25/10 ⊥ -10/25

-10/25 = -0.4

y = -0.4x + c

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Check the picture below.

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