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Ad libitum [116K]
3 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]3 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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Which of the following ratlos is not equivalent to 6:10?
Len [333]

Answer:

24/45 or 9/15

Step-by-step explanation:

none of these is equivalent to 6:10

7 0
3 years ago
A truck driver can travel 560 miles on 28 gallons of gas. How far can he travel on 35 gallons of gas?
Shtirlitz [24]
560 / 28 = 20....so the driver travels 20 miles per gallon

on 35 gallons......35 * 20 = 700 miles <==

or u can also do it this way...

560/28 = x / 35....560 miles to 28 gal = x miles to 35 gal
cross multiply because this is a proportion
(28)(x) = (560)(35)
28x = 19600
x = 19600/28
x = 700 miles <==

so u can either do it by finding the unit rate or by making a proportion. either way will result in the same answer.
8 0
3 years ago
Timothy and his brothers are selling lemonade and cookies to raise funds for a camping trip. Paul bought two cups of lemonade an
sasho [114]

Answer:

im try ing to think

Step-by-step explanation:

3 0
3 years ago
Find an equation of the line that has the given slope and contains the given point. m=7/3 (1,6)
iris [78.8K]

The point-slope form:

y-y_1=m(x-x_1)

We have the point (1, 6) and the slope m = 7/3. Substitute:

y-6=\dfrac{7}{3}(x-1)      <em>use distributive property</em>

y-6=\dfrac{7}{3}x-\dfrac{7}{3}          <em>add 6 to both sides</em>

y=\dfrac{7}{3}x+\dfrac{11}{3}        <em>multiply both sides by 3</em>

3y=7x+11           <em>subtract 7x from both sides</em>

-7x+3y=11         <em>change the signs</em>

7x-3y=-11

Answer:

point-slope form: y-6=\dfrac{7}{3}(x-1)

slope-intercept form: y=\dfrac{7}{3}x+\dfrac{11}{3}

standard form: 7x-3y=-11

5 0
3 years ago
Which sequence shows the numbers in order from least to greatest? A. -2/3 , 1/5 , -3/4 B. 1/5 , -2/3 , -3/4 C. -3/4 , -2/3 , 1/5
Rom4ik [11]

Answer:

C. -3/4, -2/3, 1/5

Step-by-step explanation:

Just from observation, you can tell the 1/5 will be the greatest because all the other fractions are negative. Then, I converted them to decimal form to make it easier.

-2/3 = -0.6666666 (the 6 goes on forever)

-3/4 = -0.75

1/5= 0.20

Then, you put them in order.

-3/4 would be the least .

Followed by, -2/3

Finally, 1/5

7 0
3 years ago
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