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3 years ago

Will give brainliest!

Mathematics

1 answer:

tatuchka [14]3 years ago

3 0

Answer:

Linear Pair Theorem

m∠2

∠3

definition of congruent angles

Step-by-step explanation:

1. ∠1 and ∠2 form a linear pair of angles, so ∠1 and ∠2 are supplementary by the Linear Pair Theorem.

2. Therefore, m∠1 + m∠2 = 180°, by the definition of supplementary angles.

3. It is given that ∠2 ≅ ∠3, so m∠2 = m∠3 by the definition of congruent angles.

4. By substitution, m ∠1 + m∠3 = 180°, so ∠1 and ∠3 are supplementary by the definition of supplementary angles.

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How do u find slant asymptote

Romashka-Z-Leto [24]

To find the slant <span>asymptote</span> you must divide the numerator by the denominator using either long division or synthetic division.

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3 years ago

Mario is constructing a square dart board. It will consist of a smaller square centered in a larger square. The smaller square m

Ivan

Answer:

6 inches.

Step-by-step explanation:

Let a represent side length of larger square.

We know that area of square is square of its side length, so area of the larger square will be $a^2$ .

The area of smaller square would be $4^2$ .

We will use proportions to solve our given problem.

$\frac{\text{Area of smaller square}}{\text{Area of larger square}}=\frac{4}{9}$

$\frac{4^2}{a^2}=\frac{4}{9}$

$\frac{16}{a^2}=\frac{4}{9}$

Cross multiply:

$4*a^2=16*9$

$\frac{4*a^2}{4}=\frac{16*9}{4}$

$a^2=36$

Take square root:

$a=\pm\sqrt{36}$

$a=\pm 6$

Since the length cannot be negative, therefore, the side length of larger square is 6 inches.

8 0

3 years ago

GUYS IM GIVING 30 POINTS TO WHOEVER ANSWERS THIS properlyyyyyyyyyyyyyyyyy I RLLY RLLY NEED HELPPP! ILL GIVE U BRAINLIEST TOOOOOO

lisabon 2012 [21]

For step one, it’s Graph A because it’s going through the origin
For step two, the rate of change is -3, you can find the answer by using the rise/run method by going down three and going right once.
For step 3, the dividing method doesn’t work because -1 divided by 2 isn’t 0.
For step four, go to the point (-2,-4) and from that point draw a line up three units. From there draw a line right two units, and you should stop at -1 on the 6-axis

I hope this helped!

4 0

3 years ago

The area of a rectangular garden is given by the quadratic function: LaTeX: A\left(x\right)=-6x^2+105x-294A ( x ) = − 6 x 2 + 10

damaskus [11]

Answer:

Step-by-step explanation:

Domain= All real numbers. To get this answer i just plug the x-values into the quadratic formula to get the y-output.

Maximum area=1323/8

Range= y<= 1323/8

3 0

3 years ago

1. The population of a city is 85,000 and is growing at a rate of 3% each year. Find how many people live in this city after 13

krek1111 [17]

Answer:

85000 x 0.03 = 2550 (per year)

2550 x 13 = 33150

85000 + 33150 = 118150

Step-by-step explanation:

Hope that helped! Have a nice day!

8 0

3 years ago

*Will give brainliest!*

Will give brainliest!