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Aleonysh [2.5K]
3 years ago
11

Two similar figures have sides in the ratio of 2:3. If a side of the smaller triangle has a length of 7, what is the length of t

he corresponding side of the other triangle? a.4 2/3 b.10 1/2 c.14 d.21
Mathematics
1 answer:
Vitek1552 [10]3 years ago
5 0
2:3=7:x\\\\\dfrac{7}{x}=\dfrac{2}{3}\ \ \ \ |cross\ multiply\\\\2x=7\cdot3\\\\2x=21\ \ \ |:2\\\\\boxed{x=10\dfrac{1}{2}}
Answer: b. 10 1/2

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Graph by using the slope and the y intercept.
Mashutka [201]

1. a) equation of the line :

  • y =  \dfrac{2}{5}x   - 7

y - intercept = -7

so, it will pass through point (0, -7)

and if we plug the value of x as 5, we get

  • y =  (\dfrac{2}{5}  \times 5) - 7

  • y = 2 - 7

  • =  - 5

so, it will pass through point (5, -5) too

now, just plot the points (0 , -7) and (5 , -5) and join them.

2. b) equation of line is :

  • y =  - 3x + 5

here, y - intercept = 5

so the line passes through point (0 , 5)

now, Plugging the value of x = 1 we get :

  • y =(  - 3 \times 1) + 5

  • y =  - 3 + 5

  • y = 2

so, the given line passes through point (1 , 2)

plotting the points, we can get our required line.

6 0
3 years ago
Please help ASAP please and thank you have a great and blessed day!
goldenfox [79]
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3 0
3 years ago
Read 2 more answers
Three students attempt to define what it means for lines lll and mmm to be perpendicular.
Vanyuwa [196]

Please find diagram attached

Answer and explanation:

Perpendicular lines are lines that meet at 90 degrees/ right angle.

The question seems to be incomplete but I will explain what perpendicular lines are in the context of lines lll and mmm, with some assumptions about the lines.

Assume that line III is 30mm long and line mmm is 25mm long, we say that line III is perpendicular to line mmm if line III meets line mmm at 90 degrees as we see in the diagram attached.

7 0
3 years ago
The balance of an investment account is $308 more than the balance 4 years ago. The current balance of the account is $4708. Wha
kifflom [539]

Answer:

$4,400

Step-by-step explanation:

Key: B stands for balance.

b+308=4708

b=4,708-308

b=$4,400

8 0
3 years ago
F(v)=6+v^2 how do I solve
Nostrana [21]

Step-by-step explanation:

Well, this is a function. In order to solve this, you need a v value. Once you get a v value, you can plug into into 6+v^2 and wala- you get your answer.

Example, lets say

v is 3

then

F(3) = 6 + 3^2

f(3) = 6 + 9

f(3) =15

Hope this helped

6 0
3 years ago
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