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Kobotan [32]
2 years ago
12

The ratio of the number of text messages sent by Diego to the number of text messages sent by his sister is 3 to 4. Diego sent 1

8 text messages. How many more text messages did his sister send?​
Mathematics
1 answer:
ipn [44]2 years ago
7 0

Answer:

His sister sent 6 more messages than Diego.

Step-by-step explanation:

Ratio of Diego's messages to his sister's messages = 3 : 4

Text messages sent by Diego = 18

Text messages sent by his sister = x

Ratio = 18 : x

It is a proportional relationship,

3 : 4 :: 18 : x

Product of extremes = Product of means

3x = 18*4

3x = 72

\frac{3x}{3}=\frac{72}{3}\\x=24

Difference = 24 - 18 = 6

Therefore,

His sister sent 6 more messages than Diego.

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Digiron [165]

9514 1404 393

Answer:

  AC ≈ 7.3

Step-by-step explanation:

Corresponding sides of similar triangles are proportional.

  AC/BC = DF/EF

  AC/18 = 15/37 . . . . fill in the given values

  AC = 18(15/37) . . .  multiply by 18

  AC ≈ 7.3

4 0
3 years ago
Use the equation 2,401 = 76 – 2x. What power of 7 is 2,401?
zaharov [31]
Comment
I'm going to take a guess at this and say what you meant is  2401 = 7^(6 - 2x)

Step One
Find out the power of 7 that will equal 2401. 
You could do it like this.
7^y = 2401 and just guess at some values.

y      7^y
1      7
2      49
3      7 * 7 * 7 = 343
4      7 * 7 * 7 * 7 = 2401  So the answer is 4

7^4 = 2401

Step 2 
Equate the powers.
2401 = 7^(6 - 2x)
7^4 = 7^ (6 - 2x)
4 = 6 - 2x  Subtract 6 from both sides.
4 - 6 = - 2x 
-2 = - 2x divide by - 2
-2/-2 = x
x = 1 <<<<<<<<<<<<<answer

7 0
3 years ago
Read 2 more answers
Which triangles are similar by the angle-angle criterion for similarity of triangles ?
Alex Ar [27]

Answer:

Option D is correct.

\triangle ADE \sim \triangle ABC

Step-by-step explanation:

In triangle ADE and triangle ABC

From the figure:

\angle ADE = \angle ABE  [Angle]             [Given]

\angle DAE = \angle BAC  [Angle]

AA(Angle-Angle) similarity criterion states that in two triangles if two pairs of corresponding angles are equal, then these triangle Similar.

By AA similarity:

⇒\triangle ADE \sim \triangle ABC

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jarptica [38.1K]

he would have painted two feet per minute.

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MrMuchimi

Answer:

a gas in a rigid container has a pressure of 632 torrs and a temperature of 45 celsius. The pressure has increased to 842 torrs. What is the new temperature of the gas

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