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3 years ago

How do you solve for x when you have this problem below please explain !!

Mathematics

1 answer:

Rzqust [24]3 years ago

3 0

Answer:

The value of x is 16

Step-by-step explanation:

We can clearly see in the diagram that a transversal is intersecting two parallel lines.

When a transversal intersects two parallel lines, eight angles are formed.

The angles which are in the same position on same side of each line intersected by the transversal, are called corresponding angles.

<u>Corresponding angles are congruent.</u>

So,

Angle 6x+4° and 100° will be congruent or equal

$6x+4 = 100\\6x =100-4\\6x = 96\\\frac{6x}{6} = \frac{96}{6}\\x = 16$

Hence,

The value of x is 16

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PQR is a right-angled triangle. PQ = 16 cm. PR = 8 cm. Calculate the length of

vlada-n [284]

SOLUTION:

PQR is a right-angle triangle.

Therefore, to solve this problem, we will use Pythagoras theorem which is only applicable to right-angle triangles.

Pythagoras theorem is as displayed below:

a^2 + b^2 = c^2

Where c = hypotenuse of right-angle triangle

Where a and b = other two sides of right-angle triangle

Now we will simply substitute the values from the problem into Pythagoras theorem in order to obtain the length of QR.

c = PQ = 16cm

a = PR = 8cm

b = QR = ?

a^2 + b^2 = c^2

( 8 )^2 + b^2 = ( 16 )^2

64 + b^2 = 256

b^2 = 256 - 64

b^2 = 192

b = square root of ( 192 )

b = 13.8564...

b = 13.86 ( to 2 decimal places )

FINAL ANSWER:

Therefore, the length of QR is 13.86 centimetres to 2 decimal places.

Hope this helps! :)
Have a lovely day! <3

8 0

2 years ago

Find the value of x:<br> I WILL AWARD BRAINLIEST, ANSWER QUICK PLEASE

Murrr4er [49]

Answer:

draw line through X which is parallel to other two lines

by alternative angles, X = 50 + 70 = 120°

6 0

1 year ago

Quick! [0, infty) open or closed interval?

Arturiano [62]

Infinite intervals are closed if they contain a finite endpoint, and open otherwise. The entire real line is an infinite interval that is both open and closed

5 0

2 years ago

Solve the system of equations below by graphing both equations with a

Marat540 [252]

Graph using slope and the y intercept

So y=x+5
You would plot the y intercept (0,5) and then go up 1 and to the right 1

The next graph plot y intercept (0,-1) and then go down 2 and to the right 1

And should look like the image

And your solution should be (-2,3) which is option c

4 0

3 years ago

The values of x and y are proportional. Determine the constant of proportionality(k)

Studentka2010 [4]

<h3>The constant of proportionality is k = 5</h3>

For direct proportion equations, you divide the y value over its corresponding x value to get the value of k.

For example, the point (x,y) = (2,10) is on the diagonal line. So k = y/x = 10/2 = 5.

Another example: the point (x,y) = (6, 30) is also on the same diagonal line, so k = y/x = 30/6 = 5 is the same result as before.

You can use any point on the diagonal line as long as it is not (0,0). This is because division by zero is not allowed.

side note: the direct proportion equation y = k*x becomes y = 5*x which is the graph of that diagonal line. The slope is m = 5, the y intercept is b = 0. All direct proportion graphs go through the origin as shown in the diagram.

3 0

3 years ago

How do you solve for x when you have this problem below please explain !!​

How do you solve for x when you have this problem below please explain !!