<u>Given</u>:
The given triangle has three equal sides. Thus, the given triangle is an equilateral triangle.
The measure of one angle is (4x - 20)°
Since, it is an equilateral triangle, then all the three sides will be equal.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the triangle sum property.
Thus, we have;
Simplifying, we have;
Adding the like terms, we have;
Thus, the value of x is 20
The correct answer is B) $440,000.
Subtract the cost of goods from the revenue:
1,000,000 - 360,000 = 640,000
Now subtract the expenses:
640,000 - 200,000 = 440,000
Answer: First box 3¼, second box 3⅓, third box 3½ and fourth box 3¹/6
Step-by-step explanation: For the first expression,
12½ - 9¼
= 25/2 - 37/4 (use 4 as the LCM)
= (50 - 37)/4
=13/4
= 3¼
For the second expression
5¾ - 2 5/12
= 23/4 - 29/12 (use 12 as the LCM)
= (69 - 29)/12
= 40/12 (express 40/12 to 10/3 in it's simplest form)
= 10/3
= 3⅓
For the third expression
7 1/5 - 3 7/10
= 36/5 - 37/10 (use 10 as the LCM)
= (72 - 37)/10
= 35/10 (express 35/10 to 7/2 in it's simplest form)
= 7/2
= 3½
For the fourth expression
11⅔ - 8½
= 35/3 - 17/2
= (70 - 51)/6 (use 6 as the LCM)
= 19/6
= 3 1/6
-2z+4+7c+6y would probably be close
Answer:
x=70, y=40, z=70
Step-by-step explanation:
So whenever you have a straight line, the angle is going to be 180 degrees, and whenever you have multiple angles that make up one angle, the sum of the multiples angles is going to be the angle of the one angle.
So let's look at x. The 180 degree angle consists of 110 degrees and x, the sum of these two should add up to 180 degrees, you can set up an algebraic equation to solve for x, but you can also do some simple mental math to see that x=70, so that 110+70=180. You do the same thing for the other angles
For y, you simply need to know 140+y = 180 so y=40
For z there is two methods, you can use the fact that opposite angles are congruent, or you can use the fact that the sum of the interior angles of a triangle is 180 degrees. This means that x+y+z=180 and since we know that x=70 and y=40 then 70+40=z so 110+z=180 so z=70, which is also the same as the opposite angle, you could use either method although knowing that opposite angles are congruent is much more easier. It's called the vertical angles theorem.