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2 years ago

I REALLY REALLY NEED HELP!!!!!! THIS IS DUE IN 5 MIN!!!

Mathematics

2 answers:

ra1l [238]2 years ago

6 0

We have proven that ΔACO ≅ ΔBDO using the SAS (Side-angle-side) theorem

<h3>Congruent triangles </h3>

From the question, we are to prove that ΔACO ≅ ΔBDO

From one of the congruent triangles theorem, we have that

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

This is the SAS (Side-angle-side) theorem.

From the given information,

AB and CD intersect at point O

Thus, AO = BO

Also,

∠ACO ≅ ∠BDO

In the diagram, we can as well observe that CO ≅ DO

Thus, we can conclude that AC ≅ BD

Since sides AC, CO and the included angle ACO are congruent to sides BD, DO and the included angle BDO, we can conclude that ΔACO ≅ ΔBDO using the SAS theorem.

Hence, we have proven that ΔACO ≅ ΔBDO

Learn more on Congruent triangles here: brainly.com/question/2938476

#SPJ1

quester [9]2 years ago

5 0

Answer:

Step-by-step explanation:

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Cloud [144]

Answer:

Predicted population of Mexico City in year 2010 = 38386000

Step-by-step explanation:

Formula to be used for the population of Mexico,

P = 20.899 $e^{0.032t}$

Where t = Duration after year 1991

P = Final population

Number of years between 2010 and 1991 = 19 years

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= 20.899 × (1.8368)

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3 years ago

I need help on this question

vaieri [72.5K]

I'm guessing it is 10? or 7?

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3 years ago

A set of middle school student heights are normally distributed with a mean of 150 centimeters and a standard deviation of 20 ce

julsineya [31]

Answer:

The proportion of students whose height are lower than Darnell's height is 71.57%

Step-by-step explanation:

The complete question is:

A set of middle school student heights are normally distributed with a mean of 150 centimeters and a standard deviation of 20 centimeters. Darnel is a middle school student with a height of 161.4cm.

What proportion of proportion of students height are lower than Darnell's height.

Answer:

We first calculate the z-score corresponding to Darnell's height using:

$Z=\frac{X-\mu}{\sigma}$