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Ad libitum [116K]
2 years ago
11

Pete asks Buzz to make a triangular truss with sides that are 5 feet, 6 feet, and 9 feet. Is this enough information for Buzz to

make a truss with the correct size and shape? Explain
Mathematics
1 answer:
Georgia [21]2 years ago
8 0

Answer: Yes.

Step-by-step explanation:

One of the criteria of congruence for triangles is SSS, this means that when we know that two triangles have all the same side lengths, the triangles are congruent. This would mean that all the triangles with the same side lengths are rotations or translations of the same triangle.

Then, when we know the measures of the 3 sides of a triangle, we have only one possible triangle to make, which would mean that Buzz has enough information to make a truss with the correct size and shape.

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Find the equation of the exponential function represented by the table below
Gennadij [26K]

Answer:

y = 3^(1 + x)

Step-by-step explanation:

Notice that each time x increases by 1, y increases by a factor of 3.

Thus, the required equation  has the form y = 3^x.

Check:  If x = 0, do we get 3?  No.  Therefore we must modify the exponent:

y = 3^(1 + x)

Check:  If x = 0, do we get 3?  3^(1 + 0) = 3 (correct)

If x = 2, do we get 27?  3(1 + 2) = 3^3 + 27 (correct)

4 0
2 years ago
Let f(x) = x^3 + 2x^2 + 3x + 1 and g(x)= 4x-5 Find f(x) x g(x)
Brums [2.3K]

▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪

Given :

f(x) =  {x}^{3}  + 2 {x}^{2}  + 3x + 1

g(x) = 4x - 5

let's solve for f(x) × g(x) :

( {x}^{3}  + 2x {}^{2}  + 3x + 1)(4x - 5)

4x {}^{4}  - 5 {x}^{3}  + 8 {x}^{3  }  - 10 {x}^{2}  + 12 {x}^{2}  - 15x + 4x - 5

4 {x}^{4}  + 3 {x}^{3}  + 2 {x}^{2}   - 11x - 5

therefore, correct choice is : D

8 0
2 years ago
Help with this question please number 8
almond37 [142]
The measure of BDA is 40 degrees
6 0
3 years ago
Round 0.977 to the nearest hundredth
UkoKoshka [18]
.98 since the hundredth place is higher than a five it is rounded up
5 0
3 years ago
Write an arithmetic expression that calculates the average of 18 and 46. you may already know that: the average of two numbers i
Masteriza [31]

In this question , we have to write an arithmetic expression that calculates the average of 18 and 46.

TO find the average, we have to add the numbers and divide by 2.

So here we have to add 18 and 46 and divide by 2, that is

d = \frac{18+46}{2} = \frac{64}{2}

And that's the required algebraic expression .

8 0
3 years ago
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