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Whitepunk [10]
2 years ago
6

traversal T intersects line K and J as shown. Which of the following relationships make J parellel to K

Mathematics
1 answer:
Eva8 [605]2 years ago
6 0
Given that transversal T intersect line K and J, the statement that make J parallel to K is:
A] ∠3 and ∠4 are supplementary.

reason being, interior angles of a straight line are supplementary angles. That is they add up to a total of 180°.
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Gerry wants to construct a triangle with segments that
alexira [117]

Answer:

See Explanation

Step-by-step explanation:

Sample Response: No, the triangle is not possible. The triangle inequality rule states the sum of any two sides must be greater than the third side. 6 + 4 is 10, which is less than 11.

5 0
2 years ago
The figure shows a cylinder of diameter 12cm and height = 15cm. A hole in the shape of cone is bored into one of its end. If the
Lisa [10]

Answer:

\bold{495\pi} \approx \bold{1555.088 cm^3}

Step-by-step explanation:

There was no figure but the question is clear

Volume of a cylinder is given by the formula \bold{\pi r^2h}\\

where r is radius of base of cylinder, h is the height

Volume of a cone is given by \bold{\frac{1}{3} \pi r^2 h}

where r is the radius of base of cone, h is the height

The radius of the cylinder = \frac{1}{2}(diameter) = \frac{1}{2}(12) = 6cm

Height of cylinder = 15cm

Volume of cylinder V_{cyl} = \pi (6)^2  15 = \pi (36)15 = \bold{540\pi}

Radius of cone = \frac{1}{2} (radius of cylinder) = \frac{1}{2}(6) = 3 cm

Height of cone same as height of cylinder = 15cm

Volume of cone, V_{cone} = \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (3)^2 15 =  \frac{1}{3}(9)15\pi = \bold{45\pi}\\


Difference is the volume of the remaining solid

V_{cyl} - V_{cone} = 540\pi - 45\pi = \bold{495\pi} \approx \bold{1555.088 cm^3}



5 0
1 year ago
Maggie says that if the expression was 12÷3to the second power, you would divide before simplifying 3 to the second power. Is sh
mezya [45]

Answer:

Maggie is incorrect.

Step-by-step explanation:

PEMDAS tells us the order of operations and the steps of solving a mathematical statement. It states that exponents must be performed before multiplication or division.

P - Parentheses

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

Therefore, to solve 12÷3² correctly, 3² needs to be simplified to 9 <em>before</em> dividing.

I hope this helps!

4 0
3 years ago
Write an equation of the line passing through the points (3,8) and (-2,-22)
uranmaximum [27]

Answer:

y=6x+8 or y=6x-22

Step-by-step explanation:

use the equation y=mx+b

m is the slope and b is the y-intercept

to find the slope use the equation m = y2-y1 over x2-x1

-22 - 8 / -2 - 3 = -30 / -5 = 6

6 is your slope and for the y-intercept you can choose whichever y-intercept to put into the equation.

HOPE THIS HELPS!!

8 0
3 years ago
Change this Mixed number into a improper fractions: 3 and 6/8
WITCHER [35]

Answer:

30/8

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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