All categories

3 years ago

Given the two triangles shown, find the value of x

Mathematics

1 answer:

Volgvan3 years ago

5 0

Answer: x = 150/6 = 25

Step-by-step explanation:

Here is the information shown in the diagram: in triangle ABC, Angle A = 68, Angle C = 38, AB = 6, and BC = 10. In triangle DEF, Angle D = 38, Angle E = 74, EF = 15, and DE = x.)

The value of x is (Choose...4, 11, 12, 19, 20, 25).

To solve this, we notice that the sum of the angle measures mentioned is 68 + 38 + 74 = 180. Thus Triangles ABC and FED are similar by AA Similarity. It remains only to set up the proportion:

DE/CB = EF/BA

x/10 = 15/6

x = 150/6 = 25

You might be interested in

EXTRA POINTS! volume of spheres.

BartSMP [9]

Answer:

V≈33.51

although I don't have an explanation, sorry, if you look up "how to find the volume of a sphere" on google, it will give you the answer

3 0

3 years ago

What is ten times ten

Snezhnost [94]

10x10=100 that the answer

8 0

3 years ago

Read 2 more answers

Your subtotal at the store was $72.29. You have a 40% off coupon. If the sales tax rate is 9.5%, what is the total price for you

ale4655 [162]

$47.50

Step-by-step explanation:

Before tax proce is $72.29

sales tax is 9.5%= $6.87

$72.29+$6.87=$79.16

40% off of $79.16=$47.50

8 0

3 years ago

You spend 30 minutes reading emails. You then spend 3 hours watching television. write the ratio of the amount of time spent rea

oksano4ka [1.4K]

Ten minutes to 1 hour

8 0

3 years ago

Which expressions are completely factored? Select each correct answer. 30a6−24a2=3a2(10a4−8) 16a5−20a3=4a3(4a2−5) 12a3+8a=4(3a3+

irinina [24]

When factoring an expression, we need to identify the Greatest Common Factor of the expression (GCF). By definition, GCF is the product of prime factors involved with its Lowest Exponent.

We need to divide each term by the GCF to get the expression inside the parenthesis.

$30a^6-24a^2\\ GCF\; is \; 6a^2\\ \\ 30a^6-24a^2=6a^2(\frac{3a^6}{6a^2} -\frac{24a^2}{6a^2} )=6a^2(5a^4-4)\\ ---------------------\\ \\ 16a^5-20a^3\\ GCF \; is \; 4a^3\\ \\ 16a^5-20a^3=4a^3(\frac{16a^5}{4a^3} -\frac{20a^3}{4a^3})=4a^3(4a^2-5) \\ ---------------------\\ \\ 12a^3+8a\\ GCF \; is \; 4a\\ \\ 12a^3+8a=4a(\frac{12a^3}{4a}+\frac{8a}{4a})=4a(3a^2+2)\\ ---------------------\\ 24a^4+18\\GCF \; is \; 6\\\\24a^4+18=6(\frac{24a^4}{6} +\frac{18}{6})=6(4a^4+3) \\ ---------------------$

Conclusion:

From above we can conclude that the below expressions are factored completely

$16a^5-20a^3=4a^3(4a^2-5)\\ \\ 24a^4+18=6(4a^4+3)$

6 0

2 years ago

Read 2 more answers