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3 years ago

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When two parallel lines are cut by a transversal, argles A and B are alternate Interior angles that each measure 105°. What is t

he measure of
each of the other alternate interior angles

1 answer:

USPshnik [31]3 years ago

8 0

Answer:

The angle for the other interior angel is 75°, all you have to do is subtract 180, from the 105

Step-by-step explanation:

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The coordinates for the vertices of a right triangle are (1, 4), (6, 4), and (6,1). What is the length of the longer leg? A) 3 B

Semmy [17]

Let
A------> <span>(1, 4)
B------> (6, 4)
C-----> (6,1)

we know that
In </span><span>a right triangle there are two legs and one hypotenuse
</span><span>
step 1
find the distance AB
d=</span>√[(y2-y1)²+(x2-x1)²]------> d=√[(4-4)²+(6-1)²]-----> d=√25----> 5
AB=5 units

step 2
find the distance BC
d=√[(y2-y1)²+(x2-x1)²]------> d=√[(1-4)²+(6-6)²]-----> d=√9----> 3
BC=3 units

step 3
find the distance AC
d=√[(y2-y1)²+(x2-x1)²]------> d=√[(1-4)²+(6-1)²]-----> d=√34----> 5.83
AC=5.83 units

therefore
the two legs are
AB=5 units
BC=3 units
the hypotenuse is
AC=5.83 units

the answer is
<span>the length of the longer leg is AB=5 units
</span>
see the attached figure

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4 years ago

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A paper cup shaped like a cone has a diameter of 6 centimeters and a slant height of 7.5 centimeters. About how much paper is ne

liq [111]

Answer:

22.5 cm^2

Step-by-step explanation:

Amount of paper is going to be measured in area, so we want the surface area of the cone. Since it is a cub it doesn't have a base, so we don't need to count it.

Area of the cone without the base, or what is called the lateral area is pi*r*s where r is the radius and s is the slant height. and of course radius is d/2 where d is the diameter. so let's plug it in. We know diameter is 6 and slant height is 7.5

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SA = pi * d/2 * s

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SA = 22.5 cm^2

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The only non-linear equation from your choices is the area of a circle as it is:

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dA/dr=2πr

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This is in contrast to any linear equation which is of the form:

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A local hamburger shop sold a combined total of 578 hamburgers and cheeseburgers on Tuesday. There were 72 fewer cheeseburgers s

andreev551 [17]

Let h be hamburgers and c be cheeseburgers.
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Finally, we go back to the other equation and solve for h.
$c + 72 = h$
$253 + 72 = h$
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8.617, since that is already a decimal.

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