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AlexFokin [52]
3 years ago
14

What is the value of x? Enter your answer in the box.

Mathematics
2 answers:
Delicious77 [7]3 years ago
8 0

Answer: 24

15/5=x/8

Step-by-step explanation:

The triangles are similar and the right hand triangle is 3 times larger than the other.


Similar because two angles are equal so the third is also. One angle is marked as equal, and one is formed by intersecting lines and so is equal to the corresponding angle.

Ugo [173]3 years ago
7 0

Answer:

The value of x is 24.

Step-by-step explanation:

In triangle ABC and EDC,

\angle A=\angle E                (Given)

\angle ACB=\angle ECD                (vertically opposite angles)

By AA property of similarity,

\triangle ABC\sim \triangle EDC

The corresponding sides of similar triangles are proportional.

\frac{AB}{BC}=\frac{ED}{DC}

\frac{5}{8}=\frac{15}{x}

5x=15\times 8

Divide both sides by 5.

x=3\times 8

x=24

Therefore the value of x is 24.

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Kara can make 15 bows with 5 yards of ribbon. How much ribbon is needed for each bow?
Svetlanka [38]

Answer:

1/3 yard or 1 foot

Step-by-step explanation:

Divide 5 by 15 then express as a fraction

5÷15=0.33333

= 1/3 yard

3 0
3 years ago
How much should you invest at 5% simple interest in order to have a balance of 1,200 in two and a half years
BARSIC [14]

Answer:

We should invest 9600 .

Step-by-step explanation:

Interest received in Two and a half year = 1,200

So, Interest that should be received in a year = 1200×\frac{2}{5}

                                                                            = 480

Interest rate = 5%.

Let we had invested  amount X.

Thus 5 % of X we will get in a year as interest

Which is \frac{5}{100}×X = \frac{X}{20}.

It is also equal to 480 as calculated above,

So. X = 480×20 = 9600.

Thus,

We should invest 9600 .

5 0
4 years ago
PLS HELP 30 POINTS AND BRAINLIEST!!! Which statement correctly names the congruent triangles and justifies the reason for congru
kherson [118]

Answer:

ΔABC ≅ ΔEFD by HL

Step-by-step explanation:

The two triangles given, ∆ABC and ∆EFD, are right triangles.

BC in, ∆ABC, is the hypotenuse and has a length of 5 units, which corresponds to hypotenuse, DF, of ∆EFD. DF also has a length of 5 units.

Therefore, BC ≅ DF.

AC in ∆ABC, corresponds to DE in ∆EFD. Both have the same length.

Therefore, AC ≅ DE.

Since we the hypotenuse of both ∆s and 1 of their corresponding legs are equal, we can conclude that both triangles are congruent based on the Hypotenuse-leg congruency statement, which says that if two right triangles have the same hypotenuse length and a corresponding leg that is equal, both triangles are said to be congruent.

Therefore, ΔABC ≅ ΔEFD by HL

3 0
3 years ago
What is the equation of the line shown
g100num [7]

Answer:

the answer is y = x-5

8 0
3 years ago
A tap fills an eighty litre tank in 5 minutes. What is the rate of flow of water with respect to
Zolol [24]

Answer:

0.27 lt/s

Step-by-step explanation:

80 liters in 5 minutes

5 minutes are 300 seconds (5x60)

We know how many seconds we need to fill up the tank (300 seconds for 80 liters). Now we need to know how many liters we can fill up in 1 second, as the question requires "liters per second".

80 lt / 300 sec

X lt / 1 sec

80 x 1

----------    = X

300

X = 0.2666666...

X = 0.27 lt / s

3 0
3 years ago
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