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sesenic [268]
3 years ago
12

The triangles below are similar find the value of x

Mathematics
2 answers:
avanturin [10]3 years ago
7 0
Its 12 because you do 10.5/21=x/24
masya89 [10]3 years ago
6 0

Answer:

x=12\ units

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of their corresponding sides is equal

so

In this problem

\frac{x}{24}=\frac{10.5}{21}

x=24\frac{10.5}{21}

x=12\ units

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#5. What is the length of segment DC ?
DanielleElmas [232]

Answer:

6 units

Step-by-step explanation:

because since AC is 24 units long, and BC is half of AC, then that would be 12 units, and since DC is half of BC, then that would be six units.

6 0
3 years ago
starting at home, nadia traveled uphill to the grocery store for 30 minutes at just 4 mph. she then traveled back home along the
ankoles [38]
Distance from home to store = 4 * 0.5 = 2 miles.
Time taken to return home = (2/12) * 60 =10 minutes.
Total distance traveled = 2 * 2 = 4 miles.
Total time taken = 30 + 10 = 40 minutes.
Average speed for entire trip = total distance / total time in hours.
Average\ speed=\frac{4}{\frac{40}{60}}=\frac{4\times60}{60}=6\ mph
3 0
3 years ago
Read 2 more answers
Help me write this two numbers in words<br> 1,328,800,16<br> 15,802
Zigmanuir [339]

one hundred thirty two million, eight hundred eighty thousand and sixteen

(Your commas are in the incorrect spot)

fifteen thousand, eight hundred and two

7 0
3 years ago
In , QR = 4, RS = 15, and . In , VT = 8, TU = 32, and . Are the polygons similar? If they are, write a similarity statement and
iris [78.8K]
No because the scale factors are different. You can see that QR compared to VT the scale factor is 2, but in RS and TU it's different, so they are not similar.
5 0
3 years ago
A land owner is planning to build a fenced-in, rectangular patio behind his garage, using his garage as one of the "walls." He
Vitek1552 [10]

Answer:

Maximum area = 800 square feet.

Step-by-step explanation:

In the figure attached,

Rectangle is showing width = x ft and the side towards garage is not to be fenced.

Length of the fence has been given as 80 ft.

Therefore, length of the fence = Sum of all three sides of the rectangle to be fenced

80 = x + x + y

80 = 2x + y

y = (80 - 2x)

Now area of the rectangle A = xy

Or function that represents the area of the rectangle is,

A(x) = x(80 - 2x)

A(x) = 80x - 2x²

To find the maximum area we will take the derivative of the function with respect to x and equate it to zero.

A'(x)=\frac{d}{dx}(80x-2x^{2})

             = 80 - 4x

A'(x) = 80 - 4x = 0

4x = 80

x = \frac{80}{4}

x = 20

Therefore, for x = 20 ft area of the rectangular patio will be maximum.

A(20) = 80×(20) - 2×(20)²

         = 1600 - 800

         = 800 square feet

Maximum area of the patio is 800 square feet.

7 0
3 years ago
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