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Dennis_Churaev [7]
3 years ago
7

Find the distance between point A (2, -4) and point C (14,1)

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
4 0
The answer is 13 I put it into the distance formula
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5a - 7 = 0.1a - 0.14
DIA [1.3K]

Answer: a=1.4

Step-by-step explanation:

move the 0.1a to the other and the 7 to the other side which will make the  7 positive and the 0.1a negative.

5a-0.1= 4.9a

-0.14+7=6.86

dive both sides by 4.9 and you get

a=1.4

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1 year ago
What is the probability of rolling an even number on a standard six sided number cube 25 times?
PIT_PIT [208]
The answer is 75/150
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How to do this question plz answer me step by step plzz plz ​
aliya0001 [1]

Answer:

112

Step-by-step explanation:

Define the variables:

x = number of French students sent by the school

Write the equation:

x / 21 = 1 / 3

Solve:

x = 7

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The other 3 schools also sent 28 students.  So the total number of students sent is:

4 × 28 = 112

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3 years ago
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A certain type of bacteria doubles every 7 hours. If you started with 36 bacteria, how many would you have after 28 hours?
Nimfa-mama [501]

I would have 144 because you just times 4 and 36

6 0
3 years ago
1) The two triangles are congruent. Find the missing side lengths and the missing angle measures.
gregori [183]

<u>Answers:</u>


Two <u>triangles are congruent</u> if they have the <u>same sides</u> and the <u>same size</u>.

In other words: they have the same shape and size, regardless of their position or orientation.



If we want to verify if two triangles are congruent, they must fulfill some conditions:


a) Two triangles are congruent if their three sides are respectively equal



b) Two triangles are congruent if two of their sides and the angle between them are respectively of equal length.



c) Two triangles are congruent if they have a congruent side and the angles with vertex at the ends of that side are also congruent.  


d) Two triangles are congruent if they have two sides respectively congruent and the angles opposite the greater of the sides are also congruent



<h2>According to these criteria, it is not necessary to verify the congruence of the three sides and three angles of each triangle </h2>

Now, knowing these criteria, let’s answer the questions:



1) Here both triangles are<u> congruent</u> and are <u>Right Triangles</u> (have a right angle or a 90\º angle), as well.



This means angle u=90\º and according to the <u>criterion b</u> listed above, the angle t=35\º and angle v=55\º.



This can be proven by the rule that states the sum of the three interior angles of a triangle is 180\º.



Then, according <u>criterion a</u>, w=10.4m and s=6m.



<u>This can be proven by the use of </u><u>two trigonometric functions,</u>  sine and cosine:


<h2>sin(35\º)=\frac{6m}{w}    (1) </h2>

w=\frac{6m}{sin(35\º)}=10.4m    




Where  6m is the <u>Opposite side</u> to the 35\º angle and w is the <u>hypotenuse</u>.




<h2>cos(55\º)=\frac{s}{10.4m}    (2) </h2>

s=cos(55\º)(10.4m)=5.9m≅6m   




Where  s is the <u>Adjacent side</u> to the 55\º angle and 10.4m is the <u>hypotenuse</u>.



<h2>Therefore, the answer is B: </h2>

s=6m, t=35\º, u=90\º, v=55\º, w=10.4m



2) According to the second figure shown, both triangles are congruent and fulfill the four criteria described above.

Therefore, the answer is:


<h2>CBA≅MPN</h2>

3) “Knowing that line segment AB is the same length as line segment CD is enough to prove that triangles ABD and BCD are congruent”



This statement is <u>True</u>, because <u>both triangles share the line segment BD</u>.

<h2>This means <u>they have two equal sides</u>, and according to <u>criterion b</u> they are congruent  </h2>




6 0
3 years ago
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