The value of the given variable x in the missing angles is; x = 12°
<h3>How to find alternate Angles?</h3>
Alternate angles are defined as the angles that occur on opposite sides of the transversal line and as such have the same size. There are two different types of alternate angles namely alternate interior angles as well as alternate exterior angles.
Now, from the question, we can see that ∠4 and ∠6 suit the definition of alternate angles and as such we can say that they are both congruent.
Since ∠4 = (8x + 4)° and ∠6 = (6x + 28)°, then we can say that;
(8x + 4)° = (6x + 28)°
Rearranging this gives us;
8x - 6x = 28 - 4
2x = 24
x = 24/2
x = 12°
Read more about Alternate Angles at; brainly.com/question/24839702
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You want to find integers between the values of -1 and 4.
This includes 1, 2, 3, and -1.
<h3>
Answer:</h3>
8
<h2><u>
STEPS:</u></h2>
=57 times 4/57 times 2
=57/1 times 4/57 times 2
=4/2 times 2 (cancel common factor:57)
=4/1 times 2 (convert element to fraction 2= 2/1)
=4/1 times 2/1
Multiply the numbers (4 times 2)
=8/1 times 1 (Multiply the numbers 1 times 1)
Apply the fraction rule: a/1 =9
=8
Let's use the point-slope formula...
<em>y-y1=m(x-x1)
</em>
<em>m is the slope.
</em>
<em>y--9=7(x--2)
</em>
<em>Subtracting a negative number is the same as adding a positive number...
</em>
<em>y+9=7(x+2)
</em>
<em>y+9=7x+14
</em>
<em>Let's subtract 9 from both sides...
</em>
<em>-9+y+9=7x+14-9
</em>
<em>y=7x+5
</em>
<em>The formula is now in the format of...
</em>
<em>y=mx+b
</em>
<em>This is known as slope-intercept.
</em>
<em>m is the slope.
</em>
<em>b is the y-intercept, the value of y when x=0.
</em>
<em>Standard formula is...
</em>
<em>Ax+By=C
</em>
<em>Neither A nor B equal zero.
</em>
<em>A is greater than zero.
</em>
<em>y=7x+5
</em>
<em>Let's move 7x to the left side of the equation. It becomes negative.
</em>
<em>-7x+y=5
</em>
<em>Let's multiply both sides by -1 to render A greater than zero.
</em>
<em>-1(-7x+y)=(5)(-1)
</em>
<u>7x-y=-5
</u>
<u>This is the equation in standard form.</u>
