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3 years ago

Given: abcd is a rectangle. prove: abcd has congruent diagonals. identify the steps that complete the proof.

Mathematics

2 answers:

DedPeter [7]3 years ago

4 0

Parallel side theorem
SAS
CPCTC

yawa3891 [41]3 years ago

3 0

there are two proofs both are attached in figure

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What is the solution to the equation startfraction y over y minus 4 endfraction minus startfraction 4 over y 4 endfraction = sta

zmey [24]

The solution to the given equation is 4 and -4.

<h3>What is a fraction?</h3>

Fractions are the numerical values that are a part of the whole.

A whole can be an object or a group of objects.

The given equation is;

$\rm \dfrac{y}{y - 4}- \dfrac{4}{y + 4}= \dfrac{32}{y^2- 16}$

A fraction is used to represent the portion/part of the whole thing.

The solution of the fraction is determined in the following steps given below.

$\rm \dfrac{y}{y - 4}- \dfrac{4}{y + 4}= \dfrac{32}{y^2- 16}\\\\\rm \dfrac{y(y+4)-4(y-4)}{(y - 4)(y+4)}= \dfrac{32}{(y-4)(y+4)}\\\\y^2+4y-4y+16=32\\\\y^2=32-16\\\\y^2=16\\\\y=\pm 4$

Hence the solution to the given equation is 4 and -4.

Learn more about fractions here;

brainly.com/question/17431959

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1 year ago

Which division expression is equivalent to 4 1/3 ÷ -5/6

Rzqust [24]

$4\dfrac{1}{3}\div\left(-\dfrac{5}{6}\right)\qquad(*)\\\\\text{Convert the mixed number to the improper fraction:}\\\\4\dfrac{1}{3}=\dfrac{4\cdot3+1}{3}=\dfrac{12+1}{3}=\dfrac{13}{3}\\\\(*)=\dfrac{13}{3}\div\left(-\dfrac{5}{6}\right)\\\\\text{By dividing by a fraction, we multiply by its reciprocal.}\\\\=\dfrac{13}{3}\cdot\left(-\dfrac{6}{5}\right)\qquad\text{simplify}\\\\=\dfrac{13}{3\!\!\!\!\diagup_1}\cdot\left(-\dfrac{6\!\!\!\!\diagup^2}{5}\right)=-\dfrac{13\cdot2}{1\cdot5}=-\dfrac{26}{5}=-\dfrac{25+1}{5}=-5\dfrac{1}{5}$

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BlackZzzverrR [31]

Answer:

Step-by-step explanation:

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2 years ago

Which is The graph of f(x) = 5(2)^x

Snezhnost [94]

The graph reflecting the mathematical equation f(x) = 5*2^x is attached on this answer. Graph shows the exponential manner with the y-intercept is at y = 5. we can plot this graph by substituting points of x from a certain range (positive and negative) and get their corresponding y's

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A science fair poster is a rectangle 3 feet long and 2 feet wide. What is the area of the poster in square inches? Be sure to in

vredina [299]

Area = length · width
Area = 3ft · 2ft
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