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3 years ago

HELP ASAP are angles ABC and A’ B’ C’ congruent? Explain your reasoning

Mathematics

1 answer:

umka2103 [35]3 years ago

3 0

Yes because one is just flipped upside down

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1 is 25% of what number

lbvjy [14]

Answer:

25x4=100%

1x4=4

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3 years ago

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In each equation of the form ax + by = c, state a, b, and c.

Reika [66]

Answer:

Step-by-step explanation:

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4 years ago

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Rickey has been commissioned to paint a mural that is allowed to have an area of 50 square meters. To make the rectangle shape o

Leno4ka [110]

Answer:

12.808 meter is the length should Rickey use for the mural.

Step-by-step explanation:

Area of the mural = A = $50 m^2$

Length of the mural = l

Width of the mural = w

l = 5 + 2w

Area of the rectangle = l × w

$A=(5+2w)\times w$

$50 m^2=5w+2w^2$

$2w^2+5w-50=0$

Solving above equation with the help of Completing squares method:

$(\sqrt{2}w)^2+2\times \sqrt{2}w\times \frac{5}{2\sqrt{2}}+(\frac{5}{2\sqrt{2}})^2-50=(\frac{5}{2\sqrt{2}})^2$

$(a+b)^2=a^2+b^2+2ab$

$(\sqrt{2}w+\frac{5}{2\sqrt{2}})^2=(\frac{5}{2\sqrt{2}})^2+50$

$(\sqrt{2}w+\frac{5}{2\sqrt{2}})^2=\frac{25}{8}+50$

$(\sqrt{2}w+\frac{5}{2\sqrt{2}})^2=\frac{425}{8}$

$(\sqrt{2}w+\frac{5}{2\sqrt{2}})=\pm\sqrt{\frac{425}{8}}$

w = 3.904 m (accept)

w = -6.404 m (reject)

l = (5 + 2w)m = 5 + 2 × (3.904) m= 12.808 m

12.808 meter is the length should Rickey use for the mural.

3 0

3 years ago

Make a conjecture about the sum of the first 30 positive even numbers

Ilya [14]

A conjecture is a statement that you believe to be true, and that has be verified by your observations, not necessarily exhaustively. That is to say, your conjecture may not even be true, although you believe that it is.

If we denote by S the sum of the first 30 positive even numbers, we could make many conjectures, such as:
S is even
S is positive,
S=930
S is composite
.... etc.

5 0

3 years ago

A number is 6 times another number and their difference is 30. What are the numbers?

Alenkasestr [34]

Answer:

x=36

y=6

Step-by-step explanation:

Let the numbers be x and y

Condition 1

x=6y ----------(1)

Condition 2

x-y=30 ------------(2)

Putting 1 in 2

6y-y=30

5y=30

Dividing both sides by 5

y=6

Now

Putting y=6 in 1

We get

x=6(6)

x=36

8 0

4 years ago