Answer:
D
Step-by-step explanation:
Answer:
The shortest side of the triangle is 3 inches.
Step-by-step explanation:
Given:
The ratio of the measure of the sides of the triangle is 1/6: 1/3: 1/4.
The perimeter = 13.5 inches.
Now, to find the shortest side.
<em>Let the one side be 
</em>
<em>And the second side be 
.</em>
<em>And the third side be 
.</em>
According to question:
⇒
Adding all the variables by taking common denominator we get:
⇒
<em>Multiplying both sides by 12 we get</em>:
⇒
<em>Dividing both sides by 9 we get</em>:
⇒
Thus, <em>the sides of the triangle are</em>:
<u>1/6×18=3 inches.</u>
<u>1/3×18=6 inches.</u>
<u>1/4×18=9/2=4.5 inches</u>.
Therefore, the shortest side of the triangle is 3 inches.
Answer:
x = 23°
Step-by-step explanation:
The two marked angles are "vertical" angles, so are congruent. That means they have the same measure, so ...
60° = 2x° + 14°
30° = x° +7° . . . . . . . divide by 2
23° = x° . . . . . . . . . . subtract 7°
_____
<em>Comment on the solution process</em>
The equation is what is called a "two-step linear equation." That is because it can be solved in two steps. Here, the steps we used were to divide by 2, then subtract 7. More conventionally, the two steps would be to subtract 14, thus isolating the variable term on one side of the equal sign, then divide by the coefficient of x (which would be 2), so as to get x by itself.
We have divided by the coefficient of x first, because all numbers in the equation are divisible by 2, and because that allows us to work with smaller numbers--specifically, the single-digit number 7, rather than the double-digit number 14. This makes the subtraction easier, IMO.
M is equal to 8 hope this helps
