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inn [45]
3 years ago
7

Proving the Converse of the Parallelogram Side Theorem

Mathematics
1 answer:
butalik [34]3 years ago
7 0

Answer:

statement

the sum of two adjacent angle of a triangle is 180° . prove that sides are parallel.

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Jayden wants to lay sod on his front yard and on half of his back yard. His front yard has a length of 60 feet and a width of 70
Vlada [557]
Try this:
1) area of f-yard is 60*70=4200 feet²;
2) area of b-yard is 10*30=300 feet², according to condition '<span>on half of his back yard' this area should be 0.5*300=150 feet</span>².
3) total: 4200+150=4350 feet².
6 0
3 years ago
Read 2 more answers
Can someone help me pls
qaws [65]

Answer:Example1: 2 and 2 1/2

The mark that is closest to the right end of the glue stick is for 2 1/2 inches.

Answer on last part is 2 1/2 inches

Example 2: 1 2/4 and 1 3/4

The mark that is closest to the right end of the paper clip is for 1 3/4

Answer on last part is 1 3/4

Step-by-step explanation: the ruler is split into halves and fourths between the whole numbers the longer lines are halves shorter are fourths.

5 0
3 years ago
acceleration is a(t) = 3t and velocity is v(t) = 1 at t = 1, what is the displacement from t = 2 to t = 4
lidiya [134]

Answer:

thanks for any information you are very important the answers to your questions are answered me about human

Step-by-step explanation:

you can make the direction of economics class is study about the answers the question

5 0
2 years ago
4. The reflecting dish of a parabolic microphone has a cross-section in the shape of a parabola. The microphone itself is placed
elixir [45]
Assume the parabola is placed on a graph where the x-axis is the top of the dish.
The vertex is then at (0,-30)  The x-intercepts or zeros are at (-30,0) and (30,0)

The equation of such parabola would be:
y = a(x+30)(x-30)
Plug in vertex to find value of 'a'
-30 = a(0+30)(0-30) \\  \\ a = \frac{-30}{(-30)(30)} = \frac{1}{30}

Now find the focus given that p = \frac{1}{4a}
p = \frac{1}{4(1/30)} = \frac{30}{4} = 7.5

Answer: the microphone should be placed 7.5 inches from vertex.
8 0
3 years ago
Alden has 5 siblings. His sister is 5 years older than he is and 3 times as old as his second sister. Alden's brother is 4 years
salantis [7]

Answer:Alden is 13 years old

Step-by-step explanation

Let x represent Alden's age.

Let y represent the age of his sister.

Let z represent the age of his second sister.

His sister is 5 years older than he is and 3 times as old as his second sister. This means that

y = x + 5

y = 3z

Alden's brother is 4 years younger than his second sister. It means that his brother's age is

z - 4

His brother is 2. It means that

z - 4 = 2

z = 2 + 4 = 6

y = 3z

y = 3 × 6 = 18

Substituting y = 18 into y = x + 5, it becomes

18 = x + 5

x = 18 - 5 = 13

8 0
3 years ago
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