Answer:
A) 0
Step-by-step explanation:
When x is divided by 11, we have a quotient of y and a remainder of 3
x/11 = y + 3
x = 11y + 3 ........(1)
When x is divided by 19, we have a remainder of 3 also
x/19 = p + 3 (p = quotient)
x = 19p + 3 ..........(2)
Equate (1) and (2)
x = 11y + 3 = 19p + 3
11y + 3 = 19p + 3
11y = 19p + 3 -3
11y = 19p
Divide both sides by 11
11y/11 = 19p/11
y = 19p/11
y and p are integers. 19 is a prime number. P/11 is also an integer
y = 19(integer)
This implies that y is a multiple of 19. When divided by 19, there is no remainder. The remainder is 0
Given:
Measure of exterior angle = 164°
The measure of opposite interior angles are x° and 53°.
To find:
The value of x.
Solution:
According to the Exterior Angle Theorem, in a triangle the measure of an exterior angles is always equal to the sum of measures of two opposite interior angles.
Using Exterior Angle Theorem, we get
Therefore, the value of x is 111.
Hi!
<h3>Let's do the first step (add 2x). </h3>
5 + 3x + 2x = -2x + 2x + 9
<em>5 + 5x = 9</em>
<h3>Our goal is to isolate x on one side, so the next step would be to subtract 5 (or add -5).</h3>
5 + -5 + 5x = 9 + -5
<u><em>5x = 4</em></u>
<h2>The answer is B. add -5</h2><h3><em>And if you want to finish solving, you would divide by 5 on both sides.</em></h3>
5x/5 = 4/5
x = 0.8
Hope this helps! :)
-Peredhel
