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DanielleElmas [232]
3 years ago
7

The diagram shows two parallel lines and a transversal. If the measure of 3 is 50, what is the measure of 5?

Mathematics
2 answers:
VLD [36.1K]3 years ago
8 0
The measure of 5 would be 130 because consecutive angles are supplementary.
Rina8888 [55]3 years ago
5 0

Answer:

Option D is correct

the measure of angle 5 is 130 degree

Step-by-step explanation:

Consecutive interior angles states that when two lparallel lines are cut by transversal, then the pair of angles on one side and inside these two parallel lines and also they add up to 180 degree.

The diagram shows that the two parallel lines and  a transversal.

As per the statement:

If the measure of 3 is 50.

⇒m\angle 3 = 50

By definition of consecutive interior angles :

m\angle 3 and m\angle 5 are consecutive interior angles;

then;

m \angle 3+ m\angle 5 =180^{\circ}

Substitute the given values we have;

50+ m\angle 5 =180^{\circ}

Subtract 50 degree from both sides we have;

m \angle 5 = 130^{\circ}

Therefore, the measure of angle 5 is 130 degree

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when 5 is added to a certain number, and also taken from that number, the product of the result is 75. Find the number
goldfiish [28.3K]
I got corrected by mreijepatmat, and this is what they said: "Let x be this number so (x+5)(x-5) =75 ===> x^2 -25 = 75 ===> x^2 =100 & x = 10."

I hope this answer helped you! If you have any further questions or concerns, feel free to ask! :)

6 0
4 years ago
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Ronnie's soup pot holds 1/2gallon of soup.
stiks02 [169]

Answer:

0.167

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7 0
3 years ago
System A
Sonbull [250]

1.  System B from System A by replacing one equation with itself where the same quantity is added to both sides

2. Yes, both system A and system B are equivalent and therefore has the same solution

<h3>How to prove the statements</h3>

System A

x − 4y= 1

5x + 6y= −5

System B

x = 1+4y

5x + 6y= −5

1. System B can be gotten from system A by

from the first equation of A

x − 4y= 1

Make 'x' subject of formula

x = 1 + 4y

This makes it equal to tat of system B

Thus, replacing one equation with itself where the same quantity is added to both sides

2. System A

x = 1 + 4y

5x + 6y= −5

System B

x = 1 + 4y

5x + 6y= −5

From the above equations, we can see that both system A and system B are equivalent and therefore has the same solution.

Learn more about linear equations here:

brainly.com/question/4074386

#SPJ1

4 0
2 years ago
If a set of six numbers that include both rational and irrational numbers is graphed on a number line, what is the fewest number
zzz [600]

If there are no duplications among the six numbers, then they sit at
<em>six different points</em> on the number line.

Irrational numbers are on the same number line as rational ones.
The only difference is that if somebody comes along, points at one of them,
and asks you to tell him its EXACT location on the line, you can answer him
with digits and a fraction bar if it's a rational one, but not if it's an irrational one.

For example:

Here are some rational numbers. You can describe any of these EXACTLY
with digits and/or a fraction bar:

--                    2
--                 1/2
--         (any whole number) divided by (any other whole number)
                             (this is the definition of a rational number)
--                 19
--         (any number you can write with digits) raised to
                                   (any positive whole-number power)
--               387
--                  4.0001
--       (zero or any integer) plus (zero or any repeating decimal)
--                13.14159 26535 89792
--        (any whole number) + (any decimal that ends, no matter how long it is)
             (this doesn't mean that a never-ending decimal isn't rational; it only
               means that a decimal that ends IS rational.
               Having an end is <em><u>enough</u></em> to guarantee that a decimal is rational,
               but it's not <em><u>necessary</u></em> in order for the decimal to be rational.
               There are a huge number of decimals that are rational but never end.
               Like the decimal forms of  1/3,  1/6,  1/7,  1/9,  1/11, etc.)
-->    the negative of anything on this list    

Here are some irrational numbers.  Using only digits, fraction bar, and
decimal point, you can describe any of these <em><u>as close</u></em> as anybody wants
to know it, but you can never write EXACTLY what it is:

--               pi
--             square root of √2
--             any multiple of √2 
--             any fraction of √2
--               e
--             almost any logarithm

8 0
4 years ago
Please help solve the equation​
cluponka [151]

Answer:

No Solution

Step-by-step explanation:

There are not any values of x that can make this equation true

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