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Helen [10]
3 years ago
11

PLEASE HELP!!!!! WORTH 50 POINTS! PLEASE ANSWER ALL QUESTIONS (6,7,8,9)

Mathematics
1 answer:
iogann1982 [59]3 years ago
7 0

Answer:

6. Additional information is required on the two triangles

7. The pair of triangles are similar by SAS similarity postulate

8. Yes, by triangle proportionality theorem

9. DE = 9

Step-by-step explanation:

When two or more triangles are similar, the ratio of the corresponding sides of both triangles is constant

6. From the given figure, more information is required on the two triangles

However, whereby the side with length 10 is parallel to the corresponding side on the other triangle, then the alternate angles formed by the transversal to the two parallel lines are equal and the two triangles are similar by Angle Angle, AA, similarity postulate

7. From the given triangles, the ratio of the corresponding sides relative to the given included angles are;

18/45 and 10/25

18/45 = 2/5

10/25 = 2/5

Therefore, given that two pair of corresponding sides have the same included angle and that the two included corresponding sides of the of the two triangles are proportional, then the two triangles are similar by the Side Angle Side SAS similarity postulate

8. By triangle proportionality theorem, we have;

If \overline{MN} ║ \overline{KL}, then we have;

3/6 = 4/8 = 2

∴  \overline{MN} ║ \overline{KL}

9. By triangle proportionality theorem, where \overline{BE} ║ \overline{CD}, we have;

12/20 = DE/15

∴ DE = 15 × 12/20 = 9

DE = 9

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0/1
pychu [463]

Answer:

68.8 sq. inches.

Step-by-step explanation:

The triangular surfaces have sides 2 in by 3 in by 4 in.

So, half perimeter, s = \frac{2 + 3 + 4}{2} = 4.5

So, the area of the triangular face is \sqrt{s(s - 4)(s - 2)(s - 3)} = \sqrt{4.5 \times 0.5 \times 2.5 \times 1.5} = 2.9 sq. inches.

Now, the total surface area of the right triangular prism will be (2.9 × 2) + 7(2 + 3 + 4) = 68.8 sq. inches. (Answer)

4 0
2 years ago
when a car speed is 24 km/hr a journey takes 80 minutes what must the speed be for the same journey to take 60 minutes?
Mariana [72]

Answer:

32 km/ hr

Step-by-step explanation:

Given that :

Speed of car = 24km/ hr

Time taken =. 80 minutes = 80 / 60 = 1.33333 hours

The distance traveled :

Speed * time

24 km/hr * 1.333333 = 32 km

Speed required to complete 32 km. Journey in 60 minutes = 1 hour

Speed = distance / time

Speed = 32 km / 1 hour

Speed = 32 km/ hr

5 0
3 years ago
Find the length of side x in simplest radical form with a rational denominator.
olga_2 [115]

Answer:

10

Step-by-step explanation:

\sin 30\degree = \frac{5}{x}\\\\ \frac{1}{2}= \frac{5}{x}\\\\x = 5\times 2\\\\x = 10 \\

6 0
2 years ago
Read 2 more answers
How do I calculate the volume of this prism?
Tom [10]
You just multiply them
4 0
3 years ago
Pls help me with this, I have no brain
melisa1 [442]

wait wait wait I feel like I did this before but I don't at the same time-

I have no brain too so yeah sorry- :((

8 0
2 years ago
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