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julia-pushkina [17]

3 years ago

9

To solve a problem, we often _________ the given information into algebraic expressions and equations.

1 answer:

bulgar [2K]3 years ago

4 0

$\frac{-b\pm\sqrt{b^2-4ac}}{4a}$

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One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times sm

sergey [27]

One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle. Then the lines are parallel

<h3><u>Solution:</u></h3>

Given that, One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle.

We have to prove that the lines are parallel.

If they are parallel, sum of the described angles should be equal to 180 as they are same side exterior angles.

Now, the 1st angle will be 1/6 of right angle is given as:

$\begin{array}{l}{\rightarrow 1^{\text {st }} \text { angle }=\frac{1}{6} \times 90} \\\\ {\rightarrow 1^{\text {st }} \text { angle }=15 \text { degrees }}\end{array}$

And now, 15 degrees is 11 times smaller than the other

Then other angle = 11 times of 15 degrees

$\text {Other angle }=11 \times 15=165 \text { degrees }$

Now, sum of angles = 15 + 165 = 180 degrees.

As we expected their sum is 180 degrees. So the lines are parallel.

Hence, the given lines are parallel

5 0

3 years ago

5 < 2a(üssü -1) + 3 < 9 eşitsizliğini sağlayan a sayısı aşağıdakilerden hangisi olabilir?

Andru [333]

Answer:

d

Step-by-step explanation:

I believe it is d if I'm not wrong

6 0

3 years ago

Question 4 This question has two parts. First, answer Part A. Then, answer Part B. Part A Fill in the blank question. COLLEGE LI

Annette [7]

The equation that models the number of students who live in apartments will be 6n + 15

<h3>How to illustrate the equation?</h3>

Total number of students T = 17n + 23

Students who live in dorm rooms on campus D = 11n + 8.

Therefore, the students who live in apartments will be:

= 17n + 23 - (11n + 8)

= 6n + 15

In order to predict the number of students who will live on campus in 2020, we will need the students that do not share dorm rooms.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

7 0

2 years ago

OPEN ENDED QUESTION

posledela

Answer: I hope this helps :)

Substitution: 45+15(6-1)

Simplify: 120

Step-by-step explanation:

Calculate within parenthases (6-1) =5 =45+15(5)

Multiply left to right 15(5)=75 =45+75

Add leftg to right 45+75=120

Answer = 120

4 0

3 years ago

Rewrite in simplest rational exponent form x^1/2*X^1/4

jasenka [17]

Answer:

$\sqrt[4]{x^3}$

Step-by-step explanation:

First, let's examine our original statement.

$x^{\frac{1}{2} }\cdot x^{\frac{1}{4}}$

Using exponent rules, we know that if we have $x^a \cdot x^b$ , then simplified, the answer will be equivalent to $x^{a+b}$ .

So we can simplify this by adding the exponents $\frac{1}{2}$ and $\frac{1}{4}$ .

Converting $\frac{1}{2}$ into fourths gets us $\frac{2}{4}$ .

$\frac{2}{4} + \frac{1}{4} = \frac{3}{4}$ .

So we now have $x^{\frac{3}{4}}$ .

When we have a number to a fraction power, it's the same thing as taking the denominator root of the base to the numerator power.

Basically, this becomes

$\sqrt[4]{x^3}$ . (The numerator is what we raise x to the power of, the denominator is the root we take of that).

Hope this helped!

4 0

3 years ago

Read 2 more answers