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3 years ago

Use two 2-Column proofs to show that either diagonal of a rectangle will create two congruent triangles?

Mathematics

1 answer:

tangare [24]3 years ago

6 0

<span>Given: Rectangle ABCD
Prove: ∆ABD≅∆CBD
Solution:

<span> Statement Reason
</span>
ABCD is a parallelogram Rectangles are parallelograms since the definition of a parallelogram is a quadrilateral with two pairs of parallel sides.

Segment AD = Segment BC The opposite sides of a parallelogram are Segment AB = Segment CD congruent. This is a theorem about the parallelograms.

</span>∆ABD≅∆CBD SSS postulate: three sides of ΔABD is equal to the three sides of ∆CBD<span>

</span><span>Given: Rectangle ABCD
Prove: ∆ABC≅∆ADC
</span>Solution:

<span> Statement Reason
</span>
Angle A and Angle C Definition of a rectangle: A quadrilateral
are right angles with four right angles.

Angle A = Angle C Since both are right angles, they are congruent

Segment AB = Segment DC The opposite sides of a parallelogram are Segment AD = Segment BC congruent. This is a theorem about the parallelograms.

∆ABC≅∆ADC SAS postulate: two sides and included angle of ΔABC is congruent to the two sides and included angle of ∆CBD

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Answer:

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3 years ago

The table shows the value of an account x years after the account was opened. Based on the exponential regression model, which i

lana66690 [7]

Answer:

Correct choice is B

Step-by-step explanation:

The exponential regression model can be written as exponential function

$y=a\cdot b^x.$

Then

$5,000=a\cdot b^0=a,\\ \\5,510=a\cdot b^2\Rightarrow 5,510=5,000\cdot b^2,\\ \\b^2=\dfrac{5,510}{5,000}=\dfrac{551}{500}\Rightarrow b\approx 1.05.$

Thus,

$y=5,000\cdot (1.05)^x.$

When $x=12,$ you get

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3 years ago

Read 2 more answers

Technician A says when there is a delay or slip as the transmission shifts into any forward gear, a slipping rear clutch is indi

blagie [28]

Answer:

Technician B

Step-by-step explanation:

It is very important that any car is taking for a test drive and a road test is carried out to check for any sort of problem with the transmission of the car or any leakages that may be found in the hydraulic circuits.

Technician B is very correct because when the hydraulic circuits is leaking, the front or forward clutch tends to slip thereby causing the shift for all forward gears to be delayed

Also,the sticking of the spool into the body of the valve can also cause the problem to occur as well.

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3 years ago

PLEASE HELP!!! TRIG, Theres a picture!!

BartSMP [9]

Answer:

<h2>The answer is option C</h2>

Step-by-step explanation:

$3( { \tan }^{2} \theta - { \sec }^{2} \theta)$

Using trigonometric identities

That's

$1 + { \tan }^{2} \theta = { \sec }^{2} \theta$

Rewrite the expression

That's

$3({ \tan }^{2} \theta - (1 + { \tan }^{2} \theta)) \\$

Simplify

We have

$3({ \tan }^{2} \theta - 1 - { \tan }^{2} \theta) \\ 3({ \tan }^{2} \theta - { \tan }^{2} \theta - 1)$

So we have

3( - 1)

We have the final answer as

Hope this helps you

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3 years ago

Solve for d.<br><br> Help is appreciated thank u!!

crimeas [40]

Answer:

d = 16.88

Step-by-step explanation:

Start by simplifying both sides of the equation then isolate the variable

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3 years ago