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3 years ago

1. Write a paragraph proof for the following conjecture.

Mathematics

2 answers:

Scorpion4ik [409]3 years ago

8 0

PQS would be set equal to SQR
PQS equals 45 degrees and QS bisects PQR
so therefore 45+45 would have to equal 90, since half of 90 is 45

Molodets [167]3 years ago

8 0

QS bisects ∠PQR(given), m∠PQS is 45°(given), ∠PQS ≈ ∠SQR (definition of an angle bisector), m∠SQR is 45° (definition of congruent angles), ∠PQS+∠SQR=90° (addition property) 45°+45°=90° (substitution property), PQR=90°, ∠PQR is a right angle (definition of a right angle), ΔPQR is a right triangle (definition of a right triangle).

This may not be 100% what you're looking for but you can use it as a guideline. :)

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mrs. lbare wrote three decimals on the bored follwed by the two blank spaces. Complete the sequence of numbers

andrew11 [14]

The rest of the sequence might be 10.5, 12.45, 14.10

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3 years ago

13) The side length of the following cube is 8 cm. what is the length of the diagonal through its center?

Scorpion4ik [409]

Answer: $\sqrt{3}$ x 8 = 13.8564064606

Step-by-step explanation: The main diagonal of any cube can be found by multiplying the length of one side by the square root of 3 ( $\sqrt{3}$ ). Therefore, square root 3 ( $\sqrt{3}$ ) is multiplied by the length (8 in our case) of either 6 faces of the cube.

Hope it helped!

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3 years ago

Read 2 more answers

The graph of a line passes through the points (0, -2) and (6.0). What is

9966 [12]

Answer:

$y=\frac{1}{3}x-2$

Step-by-step explanation:

The equation of a line is given in the form $y=mx+b$

Where

m is the slope with formula $m=\frac{y_2-y_1}{x_2-x_1}$

and

b is the y-intercept [y axis cutting point of line]

Given the two points (0, -2) and (6,0),

x_1 = 0

y_1 = -2

x_2 = 6

y_2 = 0

Now, we find m using formula:

$m=\frac{0+2}{6-0}=\frac{1}{3}$

Now we have

$y=\frac{1}{3}x+b$

Finding b, we plug in any (x,y) point. Lets put (6,0) and find b:

$y=\frac{1}{3}x+b\\0=\frac{1}{3}(6)+b\\0=2+b\\b=-2$

Thus,

equation of line = $y=\frac{1}{3}x-2$

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3 years ago

Your principal surprises you by buying your class a turtle. He brings the turtle to your class along with a sheet from the pet s

Nitella [24]

The height of the tank must be at least 1 foot, or 12 inches. We know the floor area (which is length x width) must be at least 400 inches. Therefore these minimum dimensions already tell us that the minimum volume is 400 x 12 = 4800 cubic inches. Since we have a maximum of 5000 cubic inches, the volume must be within the range of 4800 - 5000 cubic inches.

We can set the height at exactly 1 ft (or 12 inches). Then we can select length and width that multiply to 400 square inches, for example, L = 40 inches and W = 10 in. This gives us a tank of dimensions 40 x 10 x 12 = 4800 cubic inches, which fits all the criteria.

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3 years ago

4. Gina deposits $5,692 in a savings account paying 2.73% interest. To the

slava [35]

Answer:

B) 7867

Step-by-step explanation:

I = Prt

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3 years ago