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3 years ago

Which conclusion of the following statement must always be true?

Mathematics

1 answer:

erica [24]3 years ago

4 0

Answer:

4th answer

Step-by-step explanation:

angle 1 is congruent to angle 2, they stay the same..... as are corresponding angles that also appear when parallel lines are cut by a transversal .

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The floor of Cara's living room is 10 feet by 14 feet. What is the area, in square feet, of the largest circular rug that can fi

Rus_ich [418]

Answer:

$78.5\ ft^{2}$

Step-by-step explanation:

we know that

If the floor of Cara's living room is 10 feet by 14 feet

then

the diameter of the larger circular rug that can fit in Cara's living room is equal to 10 feet

Find the area of the circular rug

The area of the circle is equal to

$A=\pi r^{2}$

we have

$r=10/2=5\ ft$ ----> the radius is half the diameter

$\pi=3.14$

substitute the values

$A=(3.14)(5)^{2}=78.5\ ft^{2}$

3 0

3 years ago

(-3.2) to the power of 0

stellarik [79]

Answer:

Step-by-step explanation:

5 0

3 years ago

35%Daisy is cooking pasta. The recipe says she needs 480 grams of pasta for 4 people. How many kilograms will she need for 14

pav-90 [236]

4 people = 480 grams of pasta

1 person = 480 ÷ 4 = 120 grams of pasta

14 people = 120 x 14 = 1680 grams of pasta

1680g = 1680 ÷ 1000 = 1.68 kg

Answer: 1.68 kg of pasta

4 0

3 years ago

The average distance from Venus to the Sun is 108,200,000 kilometers. Which of the following is the number expressed in scie

NISA [10]

Option C

ANSWER:

The scientific notation of 108200000 is $1.082 \times 10^{8}$ So the correct option is c.

SOLUTION:

Given,the average distance from Venus to the Sun is 108,200,000 kilometers.

We need to find the above given distance in the scientific notation.

Scientific notation is nothing but writing the large numbers as product of ten power something so that we can reduce space required to write that number.

Now, 108200000 can be written in scientific notation as:

= 10820000 x 10

$=1082000 \times 10^{2}$

$=108200 \times 10^{3}$

$=10820 \times 10^{4}$

$=1082 \times 10^{5}$

$=108.2 \times 10^{6}$

$=10.82 \times 10^{7}$

$=1.082 \times 10^{8}$

Hence the scientific notation of 108200000 is $1.082 \times 10^{8}$ So the correct option is c.

4 0

3 years ago

WhAt is x if y is n2+x?

Elden [556K]

$y= n^{2} +x \\ x=y-n^{2}$

7 0

3 years ago