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Mariulka [41]
3 years ago
9

4. FGH - MNP. Solve for x.

Mathematics
1 answer:
Dahasolnce [82]3 years ago
6 0

Answer:

x = 6

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are in proportion, that is

\frac{MN}{FG} = \frac{NP}{GH} , substitute values

\frac{x}{12} = \frac{10}{20} = \frac{1}{2} ( cross- multiply )

2x = 12 ( divide both sides by 2 )

x = 6

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Which equation can be represented using the number line?
kvasek [131]

Answer:

the first one : 3/4 ÷ 1/8 = 6

Step-by-step explanation:

remember, dividing something by a fraction is the same as multiplying by the upside-down fraction.

like here

3/4 ÷ 1/8 = 3/4 × 8/1 = 3×8 / 4×1 = 24/4 = 6

you can see that confirmed in the graph, where every 1/4 contains 2/8. so, 1/8 fits 6 times into 3/4.

the other answer options are simply not true

1/8 ÷ 3/4 = 6

1/8 × 4/3 = 4/24 = 1/6 <> 6

6 ÷ 3/4 = 1/8

6/1 × 4/3 = 24/3 = 8 <> 1/8

6 ÷ 1/8 = 3/4

6/1 × 8/1 = 48 <> 3/4

8 0
2 years ago
Guys help me please ,how to solve it? i need a solution
Ludmilka [50]

Answer:

well, x = 5

Step-by-step explanation:

here,

EB Is parallel to DC , so

Angle AEB = Angle ADE

( because they are corresponding angle pair )

Angle ABE = Angle ACD

( because they are corresponding angle pair )

triangle ADC Is similar to triangle AEB

(By AA similarity criteria )

hence AE / ED = AB / BC ( by CPCT )

so 24/10 = 12/x

=》 24/12= 10/x

=》 x = 5

okay i hope u got it

8 0
2 years ago
The population of a town is 15,000. If the population is growing by 5% per year, how long will it take for the population to rea
nikdorinn [45]

by 10 years it'll be 24439 but by 11 it'll be 25661 so it's technically 11 years

6 0
3 years ago
Please help me, im so confused it's "Anthony owns a $133,000 brick home in Area B. How much will it cost him to insure the home
ExtremeBDS [4]
Hi The answer is wood frame
8 0
3 years ago
Cole ride his bike for 45 miles at a rate if 15 miles per hour. How long did it take him to ride in 40 miles? PLEASE HELP
tatiyna
15x=45
45/15 =3
X=3
45 miles in 3 hours

How long did it take for 40 miles?

15x=40
40/15 = 2.6666667

15 x 2= 30
15 x 2.5 = 37.5
15 x 2.6 = 39
15 x 2.7 = 40.5
1 hour equals 60 mins

Answer:
It took Cole about 2 hours and 6 mins to ride 40 miles.
5 0
3 years ago
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