1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
skelet666 [1.2K]
4 years ago
15

Prove theorems about triangles

Mathematics
1 answer:
Aleks04 [339]4 years ago
3 0
  • Answer & step-by-step explanation:

<em>a) impossible</em>

<em>b)  the sum of the angles in a triangle is 180°</em>

<em>63° + 59° + 57° = 179°</em>

You might be interested in
Please explain with working!!! Find the set of values of x that satisfy the inequality 9x^2-15x&lt;6
Oksi-84 [34.3K]

Answer:

-1/3

Step-by-step explanation:

When solving a quadratic inequality, first solve it normally like you would for a normal quadratic equation. We have:

9x^2-15x

Ignore the less than sign and replace it with an equal sign and solve the quadratic for its zeros:

9x^2-15x=6

Subtract 6 from both sides:

9x^2-15x-6=0

Divide everything by 3:

3x^2-5x-2=0

Factor. Find two numbers that equal (3)(-2)=-6 that add up to -5.

-6 and 1 works. Thus:

3x^2-6x+x-2=0\\3x(x-2)+1(x-2)=0\\(3x+1)(x-2)=0

Find the x using the Zero Product Property:

3x+1=0 \text{ or }x-2=0\\x=-1/3\text{ or }x=2

Now, we need to replace the equal signs with symbols again. To do so, we need to test which symbol to place. Let's do the first zero first.

So, the first zero is:

x=-1/3

Assume that the correct symbol is >. Thus,

x>-1/3

Now, pick any number that is greater than -1/3. I'll pick 0 since it's the easiest. Now, plug 0 back into the very original inequality. If it works, then the sign is correct, if it doesn't, then simply use the opposite one. Therefore:

9x^2-15x

0 is indeed less than six, so our first correct solution is:

x>-1/3

For the second one, do the same thing. We have:

x=2

Assume that the correct symbol is <. Thus:

x

Again, pick any number less than 2. I'm going to use 0. Plug 0 back into the original equation

9x^2-15x

Again, this is correct. Therefore, x<2 is also the correct inequality.

So together, we have:

x>-1/3 \text{ and } x

Together, we can write them as:

-1/3

(Note that we don't need to worry about the "or equal to" part since the original inequality didn't have it.)

6 0
3 years ago
Helppp! idk why its needs to be 20 charactes so i wrote this
marin [14]
This should be 1.35, sorry if it’s wrong
6 0
3 years ago
Read 2 more answers
Which graph represents the function f (x) = StartFraction 2 x minus 1 Over x minus 1 EndFraction?
Lubov Fominskaja [6]

The correct description of the graph:

<em>"One curve opens up and to the right in quadrant 1, and the other curve down and to the left in </em><em>quadrants </em><em>2, 1, and 4."</em>

<h3>Which graph is the graph of the given functions?</h3>

Here we have the function:

f(x) = \frac{2x - 1}{x - 1}

The graph of this function can be seen below:

Then we can see that a curve opens up on quadrant 1, and down on quadrants 2 and 3 (it pass throw quadrant 1 for a little bit).

Then the correct option is:

<em>"One curve opens up and to the right in </em><em>quadrant </em><em>1, and the other curve down and to the left in </em><em>quadrants </em><em>2, 1, and 4."</em>

<em />

If you want to learn more about rational functions:

brainly.com/question/1851758

#SPJ1

6 0
2 years ago
Read 2 more answers
xialoli was estimating the difference between two positive numbers x and y (where x&gt;y). First she rounded x up by a small amo
AleksandrR [38]

Remark

This is an excellent question. Estimation is a powerful skill to have. People should always shop using estimates. Try it to see what happens.

x = 11.7 which rounds up to which we will call x1 and that is 12

y = 6.03 which round down to 6 which we will call y1 and that is 6

Now x - y = 5.67

If you do the rounded subtraction x1 - y1 = 12 - 6 = 6

The estimate is not zero. D is not correct.

There is enough information E is not the answer.

B is wrong, her estimate is larger than x - y

C is wrong the two subtractions are not equal.

A is correct and always will be no matter what numbers are chosen

A <<<< Answer

5 0
3 years ago
Write an integer for the situation below: Greg has a debt of $55
Aleks [24]

Answer:

-55

Step-by-step explanation:

A debt is a negative value

-55

5 0
3 years ago
Read 2 more answers
Other questions:
  • Juanita is on vacation and needs a taxi ride
    11·1 answer
  • the total weight of 6 pieces of butter and a bag of sugar is 3.8 Ib. if the weight of the bag of sugar is 1.4 Ib, what is the we
    10·2 answers
  •  why is 0.5%  not equal to 1/2?
    15·2 answers
  • Help me with this question
    12·1 answer
  • Marcus tossed a fair coin 4 times. What is the probability that all 4 tosses showed heads?<br> 00
    7·1 answer
  • Ms. Strauss fills gum and trinket machines in front of grocery stores. In the trinket machine, there tattoos and stickers. If Mr
    9·1 answer
  • Sam has 33 DVDs all together, the ratio is 2:8:1, there are 3 types.
    7·1 answer
  • Someone tell me what (GJ) is l<br> please!!
    13·1 answer
  • PLEASE HURRY VERY IMPORTANT
    11·1 answer
  • 1 months salary 1000 rupees. How many salary in 1 day.​
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!