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3 years ago

What are four consecutive odd integers with the sum of 232

1 answer:

7 0

Four consecutive odd integers, eh? Let x be the first of these odd integers. The next odd integer is thus x+2, and the next is x+4, and the last is x+6. The sum of all four of these is 232, so you have x+x+2+x+4+x+6=2324x+12=232

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In the diagram below secants PT & PU have been drawn from exterior point P such that the four arcs intercepted have the foll

fiasKO [112]

Answer:

x = 30°
RS = 30°, SR = TU = 120°, UR = 90°
∠P = 45°
∠UTS = 60°

Step-by-step explanation:

(a) If RS = x, then the sum of arcs around the circle is ...

x + 4x +4x +3x = 360°

12x = 360°

x = 30°

(b) Based on the given ratios, the arc measures are computed from x. For example, ST = TU = 4x = 4(30°) = 120°

RS = 30°
ST = 120°
TU = 120°
UR = 90°

(c) Angle P is half the difference of arcs TU and RS:

∠P = (TU -RS)/2 = (120° -30°)/2

∠P = 45°

(d) Inscribed angle UTS is half the measure of the arc it intercepts. Arc RU has the measure (30° +90°) = 120°, so the measure of UTS is ...

∠UTS = 120°/2 = 60°

4 0

2 years ago

A software designer is mapping the streets for a new racing game. all of the streets are depicted as either perpendicular or par

ElenaW [278]

The equation of the central street PQ is -1.5x - 3.5y = -31.5 option (b) is correct.

<h3>What is a straight line?</h3>

A straight line is a combination of endless points joined on both sides of the point.

We have a straight line:

$-7x+3y=-21.5$

Convert it to the general form given below:

$\rm y=mx+c$

$\rm 3y=-21.5+7x\\\\ \rm y = \frac{-21.5}{3}+\frac{7}{3}x$ or

$\rm y = \frac{7}{3}x-\frac{21.5}{3}$

$m = \frac{7}{3}$ (Slope of AB line)

For the slope(m') of the PQ line:

$\rm m'=-\frac{1}{m}$ ( because AB and PQ are perpendicular to each other)

$\rm m' = -\frac{3}{7}$

We know the:

$\rm (y-y')=m'(x-x')$

Where (x', y') = (7, 6), we get:

$\rm (y-6)=-\frac{3}{7} (x-7)$

$\rm 7(y-6)=-3 (x-7)\\\\\rm 7y-42= -3x+21\\\\\rm 7y= -3x+21+42\\\\\rm 3x+7y=63$

$\rm -1.5x-3.5y=-31.5$ (multiply by -1/2 on both sides)

Thus, the equation of the central street PQ is -1.5x - 3.5y = -31.5

Learn more about the straight line.

brainly.com/question/3493733

6 0

1 year ago

A metal strip is being installed around a workbench that is 6 feet long and 4 feet wide. If stripping cost 3 per foot find total

puteri [66]

Answer:

Your answer would be...

30 ft

Hope this helps. Sry if im wrong.

Step-by-step explanation:

3 x 10 = 30 feet

5 0

2 years ago

What is the domain of the quadratic parent function y=x2?

hichkok12 [17]

Answer:

$\Large \boxed{\mathrm{All \ real \ numbers}}$

Step-by-step explanation:

$y=x^2$

The domain are the set of all possible values for x.

There are no restrictions on the value of x.

The domain is all real numbers.

4 0

3 years ago

How do you solve this??

gulaghasi [49]

I can’t see the photo

6 0

2 years ago