Step-by-step explanation:
<y+60+58=180 (angle sum property)
<y+118=180
<y=180-118=62
<ACB+<ACD=180(degree of a line )
58+x=180
x=122
(btw u cant get a 100 points by answering one question)
The value of x is 8 from the diagram given.
<h3>How do you calculate the sides of similar triangles?</h3>
The corresponding sides of a similar triangle are said to be in proportion if and only if the corresponding angle are also equal.
To calculate the side of line x (|x|), we have to determine the ratios of the corresponding sides as:
x = 120/15
x = 8
Therefore, we can conclude that the value of x is 8.
Learn more about calculating similar triangles here:
brainly.com/question/11899908
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Answer:
3x = 3 + 2y -------------> 3x - 2y = 3 {subtracted 2y from each side of top equation}
(-4/3)x + y = -2/3 ------> -4x + 3y = -2 {multiplied bottom equation by 3}
3x - 2y = 3 ------> 12x - 8y = 12 {multiplied top equation by 4}
-4x + 3y = -2-----> -12x + 9y = -6 {multiplied bottom equation by 3}
12x - 8y = 12
-12x + 9y = -6
--------------
y = 6 {added the two equations}
3x = 3 + 2y {original top equation}
3x = 3 + 2(6) {substituted 6, in for y, into top equation}
3x = 3 + 12 {multiplied}
3x = 15 {added}
x = 5 {divided each side by 3}
x = 5 and y = 6
Step-by-step explanation:
