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seraphim [82]
2 years ago
8

Proving trapezoid theorems Geometry

Mathematics
2 answers:
Artist 52 [7]2 years ago
8 0

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

Vilka [71]2 years ago
5 0

Answer:

Step-by-step explanation:

just did it

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Answer:

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Step-by-step explanation:

Let's define:

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  • m: amount of medium-range missiles produced
  • l: amount of long-range missiles produced

From the total production and the ratios we can write the following equations:

s + m + l = 3000

s/m = 3/3 = 1 = m/s

s/l = 3/4 or l/s = 4/3

Dividing the first equation by s, we get:

s/s + m/s + l/s = 3000/s

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s = 3000*3/10 = 900

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l =  4/3*900 = 1200

From the money that the countries plans to use and each missile cost, we can write the following equation:

200,000*s + 300,000*m + cost*l = 870,000,000

Replacing with previous result:

200,000*900 + 300,000*900 + cost*1200 = 870,000,000

cost = (870,000,000 - 200,000*900 - 300,000*900)/1200 = 350,000

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