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antiseptic1488 [7]
3 years ago
10

Triangle DEF is similar to triangle ABC, and the length of EF is 5cm. What are the lengths of sides DE is 6cm and DF is 8cm cent

imeters?
Mathematics
1 answer:
ra1l [238]3 years ago
6 0

Answer:

Step-by-step explanation:

Given that,

∆DEF is similar to ∆ABC

∆DEF ≈ ∆ABC

Then, using similar triangle properties

DE / AB = DF /AC = EF / BC

Given that,

EF = 5cm, DE = 6cm and DF = 8cm

6 / AB = 8 / AC = 5 / BC

We need one more data, to solve this problem, so the question is not complete, but let assume AC is 16cm

Then, we can find AB and BC

So, taking each part of the equation

6 / AB = 8 / AC

Since we assumed AC = 16cm

6 / AB = 8 / 16 = ½

6×2 = AB

AB = 12cm

Taking the other parts of the equation

8 / AC = 6 / BC

8 / 16 = 5 / BC

½ = 5 / BC

Bc = 2 × 5

BC = 10cm.

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The slope of the line y=2/3x+5/9 is M=
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Answer: 7

Step-by-step explanation:

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2 years ago
Katoni bought 2 1/2 dozen pencils . There are 12 pencils in a dozen. How many pencils did Katoni buy?
sergeinik [125]
Half of a dozen is 6. And 12+12 is 24 and 24+6 is 30. So Katoni bought 30 pencils.
5 0
2 years ago
Please help! Will give branliest for correct answer ! <br> God Bless uu!!
mafiozo [28]

Answer:

Solution given:.

area of traingle EFG=1/2b×h=1/2×7×6=21cm²

area of rectangle ABCD=l×b=(20+9)×7=203cm²

area of rectangle BHIJ=l×b=9×11=99cm²

Total area =21+203+99=323<u>cm²</u><u> </u><u>is</u><u> </u><u>a</u><u> </u><u>required</u><u> </u><u>answer</u>

8 0
3 years ago
Read 2 more answers
A family has two cars. The first car has a fuel efficuency of 15 miles per gallon of gas and the second has a fuel efficiency of
SVEN [57.7K]

Answer:

x= 35 gallons consumed by 1st car

and y= 40  gallons consumed by 2nd car

Step-by-step explanation:

Fuel efficiency of 1st car = 15 miles per gallon

Fuel efficiency of 2nd car = 35 miles per gallon

Let x= gallons consumed by 1st car

and y= gallons consumed by 2nd car

Total gallons consumed by both cars = 75

so, we can write

x + y = 75

Miles covered by both cars = 1925 miles

and we know, Fuel efficiency of 1st car = 15 miles per gallon

Fuel efficiency of 2nd car = 35 miles per gallon

we can write the equation as

15 x + 35 y = 1925

where x and y are gallons consumed by 1st and 2nd car.

We have two equation now,

x + y = 75                   (1)

15 x + 35 y = 1925     (2)

Multiplying eq(1) with 15 and subtracting eq (1) and 2

15 x + 15 y = 1125

15 x + 35 y = 1925

-       -            -

_______________

0 - 20 y = -800

y= -800 / -20

y = 40

Putting value of y in equation 1

x + y = 75

x + 40 = 75

x= 75 - 40

x = 35

x= 35 gallons consumed by 1st car

and y= 40  gallons consumed by 2nd car

4 0
3 years ago
PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE Please help please
umka21 [38]
The correct answer is:  "(-1, -2)" .
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Note:  By examining the point of intersection of the lines of the 2 graphs show in the "image attached", we can see that the point of intersection is at:  "(-1, 2");  that is:  "x = -1, y = 2" .
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3 0
3 years ago
Read 2 more answers
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