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3 years ago

6

State the postulate or theorem that allows you to conclude that a II b. (This is geometry)

1 answer:

scZoUnD [109]3 years ago

7 0

Converse Perpendicular Transversal Theorem.
If two lines are perpendicular to the same line, then the lines are parallel.

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The temperature of a city is recorded at midnight on the last days of four consecutive months

Serhud [2]

Answer:

26 degrees Celcius

Step-by-step explanation:

The minimum temperature is -11

The maximum temperature is 15

to get from -11 to 0: add 11

to get from 0 to 15: add 15

11+15 = 26

6 0

3 years ago

A survey asked a group of students to choose their favorite type of sport from the choices of soccer, softball, basketball, and

jolli1 [7]

The answer would be 12 students. 8+4+6+3=21.
84 divided by 21 would = 4.
3 students times 4 = 12 students

3 0

3 years ago

The 2nd term of an exponential sequence is 9 while the 4th term is 81.find the common ratio,the first term and the sum of the fi

Thepotemich [5.8K]

Answer:

second term: 9

4th term:81

$(3rd \: term)^{2} = 9 \times 81$

=729

$\sqrt{729} = 27$

3rd term=27

${9}^{2} = a1x27 \\ 81 = 27a1$

a1=3 the first term

$81 = 3 \times {q}^{3}$

${q}^{3} = 27$

q=3

$s = 3x \frac{1 - {3}^{5} }{1 - 3} = 364.5$

5 0

3 years ago

A right-angled triangle has shorter side lengths exactly c^2-b^2 and 2bc units respectively, where b and c are positive real num

yKpoI14uk [10]

Answer: hypotenuse = $c^{2} + b^{2}$

Step-by-step explanation: Pythagorean theorem states that square of hypotenuse (h) equals the sum of squares of each side ( $s_{1},s_{2}$ ) of the right triangle, .i.e.:

$h^{2} = s_{1}^{2} + s_{2}^{2}$

In this question:

$s_{1}$ = $c^{2}-b^{2}$

$s_{2} =$ 2bc

Substituing and taking square root to find hypotenuse:

$h=\sqrt{(c^{2}-b^{2})^{2}+(2bc)^{2}}$

Calculating:

$h=\sqrt{c^{4}+b^{4}-2b^{2}c^{2}+(4b^{2}c^{2})}$

$h=\sqrt{c^{4}+b^{4}+2b^{2}c^{2}}$

$c^{4}+b^{4}+2b^{2}c^{2}$ = $(c^{2}+b^{2})^{2}$ , then:

$h=\sqrt{(c^{2}+b^{2})^{2}}$

$h=(c^{2}+b^{2})$

Hypotenuse for the right-angled triangle is $h=(c^{2}+b^{2})$ units

3 0

3 years ago

A catalog has a scale drawing of a floating dock. The dock is a regular octagon attached to a rectangular walkway. The scale dra

gtnhenbr [62]

Answer: 5 feet.

Step-by-step explanation:

Remember that the lenghts of the sides of a regular octagon are equal.

You can observe in the figure that the lenght of a side of the regular octagon is 1.25 inches.

Let be "s" the actual length of a side of the regular octagon.

Knowing that the scale drawing has a scale of 1 inch 4 feet, you can find the actual lenght of a side of this regular octagon with:

$s=\frac{(1.25in)(4ft)}{(1in)}\\\\s=5ft$

Therefore, the actual length of a side of the octagon is 5 feet.

6 0

3 years ago