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Veronika [31]
3 years ago
7

HELP ME DO A STATEMENT REASON FOR THIS PLEASE

Mathematics
1 answer:
Natali [406]3 years ago
3 0

Answer:

Lines are parallel if the sum of external angles of same side is 180°.

Step-by-step explanation:

Let one of the external angle is α°.

and other external angle is β° which is equal to α°/11. (∵ Given on is 11 times smaller than the other.)

Also β° = 1/6 of the right angle = (1/6)×90° = 15°.

β° = α°/11 , ⇒ α° = 11×β° = 11×15° = 165°.

α°+β° = 165° + 15° = 180°.

Here, sum of the two external angles = 180° ⇔ the given lines are parallel.

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What are the critical points for the inequality 2x+5/x-2≥x-1/x-2?
Pachacha [2.7K]
1) When the denominator equals zero that is a critical point

=> x - 2 = 0 => x = 2.

So x = 2 is a critical point

2) Simplify the numerator to find an expresion of the king p(x) ≥ 0 or p(x) ≤ 0. Where p(x) equals zero you have other(s) critical point(s)

Multiply both terms:

[2x + 5] / [ x - 2] = [x - 1] / [x - 2]

for x ≠ 2 => 2x + 5 = x - 1

=> 2x - x = - 1 - 5

=> x = - 6

Then, the two critical points are x = 2 and x = - 6.

Answer: option B.
3 0
3 years ago
Read 2 more answers
A rectangular prism has a base of 144 square inches and a height of six inches then the volume is?​
a_sh-v [17]

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ To find the volume of a rectangular prism, the formula is base * height:

Base:144

Height:6

Multiply:

144*6=864

Final answer:

864 cubic inches

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➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

TROLLER

8 0
3 years ago
(05.02 MC) A system of equations is shown below: 4x = −3y + 17 3x − 4y = −6 What is the solution to this system of equations? (−
aliina [53]
4x=-3y+17 becomes 4x+3y=17

4x+3y=17
3x-4y=-6

alrighty

elimination

muliply first equation by 4 and 2nd by 3 and add them
16x+12y=68
9x-12y=-18
add them

25x+0y=50
25x=50
idivide both sides by 25
x=2

sub back

3x-4y=-6
3(2)-4y=-6
6-4y=-6
-4y=-12
y=3

(x,y)
(2,3)
5 0
3 years ago
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Which of the following is equivalent to <br><br> 5t−2r=25
lidiya [134]

Answer:

Solving for t : t=5+2r/5

Solving for r : r=-25/2+5t/2

Step-by-step explanation: Move all of your terms that don't contain r to the right side and solve. Move all terms that don't contain t to the right side and solve.

Hope this helps you out! ☺ I just solved it and I don't have any choices to go off of and so I just solved it. Sorry if it's wrong. ☺

3 0
3 years ago
Factor completely 2x2 9x 4. (2x 2)(x 2) (2x 1)(x 4) (2x 4)(x 1) (2x 2)(x 4).
lozanna [386]

Factors of the given expression are (x+4), (2x+1)

Given expression is

2x^2 + 9x+4

<h3>What is a factor?</h3>

A factor is a number that divides another number completely.

Let us split the middle term as:

2x^2 + 8x + x+4\\\\2x(x+4)+1(x+4)\\\\(x+4) (2x+1)

Therefore, factors of the given expression are (x+4), (2x+1)

To get more about factors visit:

brainly.com/question/9781037

5 0
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