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solong [7]
3 years ago
5

Mei draws three pairs of parallel lines that are each intersected by a third line. In each figure, she measures a pair of angles

.
What is a reasonable conjecture for Mei to make by recognizing a pattern and using inductive reasoning?


When a pair of parallel lines are intersected by a third line, the alternate interior angles are acute.

When a pair of parallel lines are intersected by a third line, all of the angles formed are obtuse.

When a pair of parallel lines are intersected by a third line, all of the angles formed are congruent.

When a pair of parallel lines are intersected by a third line, the alternate interior angles are congruent.
Mathematics
1 answer:
alisha [4.7K]3 years ago
6 0

Answer:

The correct answer is When a pair of parallel lines are intersected by a third line, the alternate interior angles are congruent.


Step-by-step explanation:

I just took the test.

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Find the surface area.
denpristay [2]

Step-by-step explanation:

a rectangular prism (like this brick) has the same basic structure as a cube (like a die) : it has 6 sides.

while a die has 6 equal sides, a rectangular prism has 3 pairs of equal sides :

top and bottom

left and right

front and back

all we have to do is calculate the areas of the 6 rectangles and add them up. that's it.

your remember, the area of a rectangle is

length × width

in our case we have

top and bottom : 2.5×11.5 × 2 = 28.75×2 = 57.5 in²

left and right : 2.5×5 × 2 = 12.5×2 = 25 in²

front and back : 11.5×5 × 2 = 57.5×2 = 115 in²

so, the total surface area of the whole block is

57.5 + 25 + 115 = 197.5 in²

5 0
2 years ago
John translated parallelogram ABCD using the rule (x,y)→(x+3, y−2). If angle A is 110° and angle B is 70°, what is the degree me
bearhunter [10]
Answer: 110 degrees

Angle measurements are preserved when translations happen. Shifting a figure will not change the angle. So because angle A = 110 degrees, this means angle A' = 110 degrees as well. 
8 0
3 years ago
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What is the answer? :D​
den301095 [7]

Answer:

6/9, 12/18 (just 6 then 12)

Step-by-step explanation:

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Area of sector is to
krok68 [10]

Answer:

circle area

Step-by-step explanation:

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6 0
3 years ago
Jennifer sold 57 pieces of art if she sold twice as many paintings as sculptures how many painting did she sell??
Westkost [7]

so we know she has sculptures and paintings, if she sold twice as many paintings as sculptures, that means that for every 2 paintings, she sold 1 sculpture, so the paintings and sculptures are on a 2:1 ratio.

we know she sold a total of 57, so we'll need to split 57 in a 2:1 ratio, we'll simply divide the whole amount of 57 by (2+1) and distribute accordingly.

\bf \cfrac{paintings}{sculptures}\qquad 2:1\qquad \cfrac{2}{1}\qquad \qquad \cfrac{2\cdot \frac{57}{2+1}}{1\cdot \frac{57}{2+1}}\implies \cfrac{2\cdot 19}{1\cdot 19}\implies \cfrac{\boxed{38}}{19}

3 0
3 years ago
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