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Nonamiya [84]
3 years ago
5

If the area of the parallelogram is 15 cm 2, what is the area of the green triangle?

Mathematics
2 answers:
Ilia_Sergeevich [38]3 years ago
7 0
I think it would be 7.5!
the picture doesn't have a lot of info but to the looks of it the parallelogram is split into two equal triangles so if the parallelogram is 15 and you divide that by two since there are two triangles that look like the same it would be 7.5!
n200080 [17]3 years ago
4 0
The triangle is half of the parallelogram, so that would be 7.5 cm 2
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What is the measure of z?
Ymorist [56]

Solving a system of linear equations, we conclude that the measure of side Z is 2√13

<h3>How to find the measure of side Z?</h3>

Remember the Pythagorean theorem. It says that the square of the hypotenuse is equal to the sum of the squares of the legs.

In the image, we can identify 3 right triangles, and with the Pythagorean theorem, we can write a system of 3 equations.

x^2 = y^2 + 4^2

z^2 = y^2 + 9^2

(4 + 9)^2 = z^2 + x^2

We want to solve that for z.

Now, the second equation can be rewritten to:

y^2 = z^2 - 9^2

Now let's replace the first equation into the third one, so we get:

(4 + 9)^2 = z^2 + (y^2 + 4^2)

Now we can replace y^2 by z^2 - 9^2

(4 + 9)^2 = z^2 + ((z^2 - 9^2) + 4^2)

Now we can solve this:

(13)^2 = z^2 + z^2 - 9^2 + 4^2

(13)^2 + 9^2 - 4^2 = 2*z^2

104/2 = z^2

52 = z^2

√52 = z

√(4*13) = z

√4*√13 = z

2√13 = z

We conclude that the measure of side Z is 2√13

If you want to learn more about systems of equations:

brainly.com/question/13729904

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8 0
1 year ago
An airplane is ascending at a constant rate of 15 feet per second what is the change in altitude during 10 minutes of flight
fenix001 [56]

Answer:

9000 ft

Step-by-step explanation:

Given: A airplane is ascending at a constant rate of 15 feet per second,

What we need to know: The change in altitude during 10 minutes of flight,

60 seconds = 1 minute

60 × 10

= 600 seconds

600 × 15

= 9000 ft

Therefore there was a 9000 ft change in altitude during the 10 minutes of the flight.

6 0
2 years ago
Could you help me with number 18
Travka [436]
The better bargain is the 4 quarts 

6 0
3 years ago
3. Which of the following objects does not have three dimensions?
aleksandrvk [35]
Line because a line is not 3-D
4 0
2 years ago
Kaylin buys a greeting card for $3.79. she then buys 4 postcards that all cost the same amount. the total cost is $5.11. how muc
Pie

Answer:

Step-by-step explanation:

Givens

Greeting Card = 3.79

Total Cost = 5.11

Post cards = x

Equation

Total Cost = Greeting Card + 4x

Solution

Substitute the gives into the equation

5.11 = 3.79 + 4x                       Subtract 3.79 from both sides

5.11 - 3.79 = 3.79 - 3.79 + 4x  Combine

1.32 = 4x                                  Divide by 4

1.32/4 = 4x/4

x = 33

Each post card costs 0.33 dollars

4 0
2 years ago
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