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Andreas93 [3]
3 years ago
9

Name the postulate or theorem you can use to prove the triangles congruent.

Mathematics
1 answer:
Maru [420]3 years ago
3 0

Answer:

You can use the ASA Postulate to prove the Angle-Angle-Side Congruence Theorem. A flow proof is shown below. If two angles and a nonincluded side of one triangle are congruent to two angles and the corresponding nonincluded side of another triangle, then the triangles are congruent.

Step-by-step explanation:

Hope it helps! Correct me if I am wrong!

I'm sure about my answer!

If you dont mind can you please mark me as brainlest?

Its ok if you don't want to!

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This season, Lisa's lacrosse team has won 2/3 of their home games (games played at Lisa's school), but just 2/5 of their away ga
denis23 [38]
The team has played 24 home games.
Let h be the number of home games and a be the number of away games.  The total number of games is 49; this gives ush+a=49
They won 2/3 of the home games and 2/5 of the away games; there were 26 games won.  This gives us2/3h + 2/5a = 26
In the first equation we isolate h by subtracting a from both sides:h+a-a=49-ah=49-a
Substitute this into the second equation:2/3(49-a)+2/5a = 26
Using the distributive property, we have2/3*49 - 2/3*a + 2/5a = 2698/3 - 2/3a + 2/5a = 26
Finding a common denominator to combine like terms, we have98/3 - 10/15a + 6/15a = 2698/3 - 4/15a = 26
We want to convert the whole number to thirds as well; 26 = 26*3/3 = 78/3:98/3 - 4/15a = 78/3
Subtracting 98/3 from both sides:98/3 - 4/15a - 98/3 = 78/3 - 98/3-4/15a = -20/3
Divide both sides by -4/15:a = -20/3 ÷ -4/15a = -20/3 × - 15/4 = 300/12 = 25
There were 25 away games.
This means there were 49-25 = 24 home games.
5 0
3 years ago
Araine borrows $400 on a 4-year loan. She is charged 5% simple interest per year. How much interest is she charged for 4 years?
DiKsa [7]

Answer:

Interest Charged = $80

Total payback = $480

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Present Value (PV) = $400

Time period (n) = 4 years

Interest rate (r) = 5%

So, we can calculate the future value(FV), by using following formula,

FV = PV ( 1 + n × r)

By putting the value, we get

FV = $400 ( 1 + 4 × 0.05)

= $480

Hence total amount she has to pay back = $480.

Interest charged = FV - PV

= $480 - $400

=$80

5 0
3 years ago
In a city with a population of 1 million, 500 people have been diagnosed with cancer, whereas the rest of the people do not have
Leni [432]

Class distribution is considered to be normal using normal approximation to binomial.

A frequency distribution is a table that shows classes or intervals of data with a count of the number in each class.

Given :

In a city with a population of 1 million

i.e Population size (N) = 1 million = 1000000

From which 500 people have been diagnosed with cancer

Let X : No. of people  have been diagnosed with cancer

X = 500

Population proportion (p) :

p = XNp =5001000000p = 0.0005

So , the proportion of people who do not have cancer (q)=1-p

                                                                                               =1-0.0005

                                                                                               =0.9995

Here the distribution of X is Binomial

Such that :

i. No. of trials are fixed

ii. Probability of success is constant (p=0.0005)

iii. Possible outcomes are two (having cancer or not)

Here we can use normal approximation to Binomial

Because N is very large

So  class distribution is considered to be normal using normal approximation to binomial.

To learn more, visit:

brainly.com/question/9325204

#SPJ4

5 0
2 years ago
In a right triangle, the hypotenuse has endpoints P(–3, 2) and Q(1, –3).
allsm [11]
52, i am so sorry this is probably incorrect
4 0
3 years ago
Read 2 more answers
Find the 14th term of the geometric sequence 5,-10,20
tamaranim1 [39]

In this specific case, the <em>initial term</em> (a) is 5 and the <em>common ratio</em> (r) is -2

Henceforth, after determining what a and r are, we use the formula for the <em>nth term</em>. Which is:

a_n = a \times r^{n-1}

Therefore, the 14th term is :

\implies 5 \times  { (- 2)}^{14 - 1}  \\\implies 5 \times  {( - 2)}^{13}  \\ =\boxed { -40,960}

Hope it helps!

7 0
2 years ago
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