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4 years ago

When two lines intersect to form two angles, what conjecture can you make about the pairs of angles that are next to each other?

Mathematics

1 answer:

gayaneshka [121]4 years ago

7 0

The pair of angles are adjacent angles and supplementary and their measure =180

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Which of the following is equal to tan(A)?

Scrat [10]

Answer: cot B

Step-by-step explanation: if i am right mark me as brainliest

8 0

3 years ago

A town has a population of 12000 and grows at 5% every year. What will be the population after 12 years, to the nearest whole nu

Marizza181 [45]

Answer:

21,550

Step-by-step explanation:

An increase of 5% means the population is multiplied by 100% +5% = 1.05. This occurs each year for 12 years, so the multiplier is ...

1.05¹² ≈ 1.7958563

When the initial population is multiplied by this factor, it becomes ...

12,000×1.7958563 ≈ 21,550

5 0

3 years ago

Max has 5.50. He has eight more quarters than he does nickels. He had four times as many dimes as he has nickels. How many quart

Oliga [24]

Answer:

<h2>There are 13 quarters, 5 nickels and 20 dimes.</h2>

Step-by-step explanation:

Givens

Max has $5.50.
He has eight more quarters than he does nickels.
He had four times as many dimes as he has nickels.

From these statements, we can deduce algebraical expressions to solve the problem. Let's call $q$ quarters, $n$ nickels and $d$ dimes.

$q=n+8$ (8 more quarters than nickels)

$d=4n$ (he has four times as many dimes as he has nickels).

$0.25q+0.05n+0.10d=5.50$ (Max has a total of $5.50, one quartes is $0.25, one nickel is $0.05 and one dime is $0.10).

Let's replace the first two expressions into the third equation

$0.25(n+8)+0.05n+0.10(4n)=5.50\\0.25n+2+0.05n+0.40n=5.50\\0.70n=5.50-2\\n=\frac{3.50}{0.70}\\ n=5$

There are 5 nickels.

Now, we use this value to find the number of quarters

$q=5+8=13$

There are 13 quarters.

Also, $d=4(5)=20$

There are 20 dimes.

Therefore, there are 13 quarters, 5 nickels and 20 dimes.

3 0

3 years ago

Plz answer this and explain how

Dahasolnce [82]

Answer:

Option H, π/3 and 2π/3

Step-by-step explanation:

sin x = sqrt(3) / 2

<em>It happens at 60 degrees and 120 degrees. In radians, it is π/3 and 2π/3</em>

<em />

Answer: Option H, π/3 and 2π/3

8 0

3 years ago

tyra has 12 2/3 cups of sugar. if r is the amount of sugar needed for one batch of cookies, the expression 12 2/3 ÷ r can be use

olga nikolaevna [1]

ANSWER

She can make 19 batches of oatmeal.

EXPLANATION

First we can change the mixed number into an improper fraction:

$12\frac{2}{3}=12+\frac{2}{3}=\frac{12\cdot3}{3}+\frac{2}{3}=\frac{36}{3}+\frac{2}{3}=\frac{38}{3}$

In this problem, r = 2/3. The division is:

$12\frac{2}{3}\div r=\frac{38}{3}\div\frac{2}{3}$

Using the KFC rule:

$\frac{38}{3}\div\frac{2}{3}=\frac{38}{3}\times\frac{3}{2}$

Solving we can see that the denominator of the first fraction can be simpliied with the numerator of the second fraction:

$\frac{38}{3}\times\frac{3}{2}=\frac{38}{1}\times\frac{1}{2}=\frac{38}{2}=19$

Tyra can make 19 batches of oatmeal with 12 2/3 cups of sugar.

6 0

1 year ago