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navik [9.2K]
3 years ago
15

A proof of the Alternate Interior Angles Theorem, using parallel lines a and b with transversal m, is shown below.

Mathematics
2 answers:
mart [117]3 years ago
7 0

Answer:

reflexive property

that is

slava [35]3 years ago
6 0

Answer: Reflexive Property

Step-by-step explanation:

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Write an equation for an ellipse centered at the origin, which has foci at (0,\pm\sqrt{63})(0,± 63 ​ )left parenthesis, 0, comma
steposvetlana [31]

Answer:

\frac{x^{2} }{4312 } + \frac{y^{2} }{8281 }

Step-by-step explanation:

Since the foci are at(0,±c) = (0,±63) and vertices (0,±a) = (0,±91), the major axis is the y- axis. So, we have the equation in the form (with center at the origin) \frac{x^{2} }{b^{2} } + \frac{y^{2} }{a^{2} }.

We find the co-vertices b from b = ±√(a² - c²) where a = 91 and c = 63

b = ±√(a² - c²)

= ±√(91² - 63²)

= ±√(8281 - 3969)

= ±√4312

= ±14√22

So the equation is

\frac{x^{2} }{(14\sqrt{22}) ^{2} } + \frac{y^{2} }{91^{2} } = \frac{x^{2} }{4312 } + \frac{y^{2} }{8281 }

8 0
4 years ago
04.01)Which unit rate is the lowest price per ounce? Choice A: 15 ounces of chocolate chips for $2.49 Choice B: 20 ounces of cho
riadik2000 [5.3K]
The unit rates are equal to one another.
6 0
3 years ago
Read 2 more answers
Guided Practice
elena-s [515]

Answer:

see below

Step-by-step explanation:

The experimental probability of heads is

P( heads) = 28/50 = 14/25

The theoretical probability is

P (heads) =1/2

Getting a common denominator for the experimental

25/50

comparing the experimental and the theoretical

28/50 > 25/50

experimental > theoretical

4 0
4 years ago
Kindly Only Answer if you know how to do this problem:
steposvetlana [31]
Its representedf by 2 polygons(triangles)
first one :
24-20=4
11-6=5
second:
24-14=10
11-7=4
B. frind area of 2 small trianges
a=(base x height )/2
first=4x5/2=10ft   square
second=10x 4/2=20ft square
add them=10+20=30
rectangle24x 11=264
264-30=234
7 0
3 years ago
Solve the equation 2(9x-6)=6(3x-2)+2
weqwewe [10]

Answer:

There are no solutions.

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2(9x−6)=6(3x−2)+2

(2)(9x)+(2)(−6)=(6)(3x)+(6)(−2)+2(Distribute)

18x+−12=18x+−12+2

18x−12=(18x)+(−12+2)(Combine Like Terms)

18x−12=18x+−10

18x−12=18x−10

Step 2: Subtract 18x from both sides.

18x−12−18x=18x−10−18x

−12=−10

Step 3: Add 12 to both sides.

−12+12=−10+12

0=2

4 0
3 years ago
Read 2 more answers
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