Answer: 130
In order to solve for <4, you need to know that supplementary angles add up to 180°.
<3 = 50
180 - 50
130
**For future questions**
1. The sum of the interior angles of a triangle is 180°
2. Alternate interior angles are congruent
3. The exterior angle of a triangle is the sum of the nonadjacent interior angles
See attachment below.
Answer:
20 dollars for 12 pounds.
Step-by-step explanation:
This is a critically important question to know the answer to. It is used almost every day by good shoppers.
The trick is to get everything down to 1 pound.
$2.00
$2.00 per pound. The question is the answer.
$4.25
$4.25 / 2 pounds = $2.13 rounded.
$9.50
$9.50 / 5 = $1.90
$20
$20/12 = $1.67 rounded
Answer:
y = -x - 2
Step-by-step explanation:
Note that the given line, y=-x+3, has a slope of -1. Any new line parallel to this one must also have that slope, -1:
y=-x+3 becomes 3 = -(-5) + C, where C is the y-intercept:
3 = 5 + C, or C = -2
Thus, the desired equation of this new line is y = -x - 2
Let's call:
f = price of 1 cup of dried fruit
a = price of 1 cup of almonds
In order to build the linear system, you need to consider that the total price of a bag is given by the sum of the price of cups times the number of cups in each bag, therefore:
Solve for a in first equation:
a = (6 - 3f) / 4
Then substitute in the second equation:
41/2 f + 6 · (6 - 3f) / <span>4 = 9
41/2 f + 9 - 9/2 f = 9
16 f = 0
f = 0
Now, substitute this value in the formula found for a:
</span>a = (6 - 3·0) / <span>4
= 3/2 = 1.5
Hence, the cups of dried fruit are free and 1 cup of almond costs 1.5$</span>
Hello :
gcf :<span>The "Greatest Common Factor" is the largest of the common factors (of two or more numbers)</span>
<span> 190 and 210 :
</span>190= 2×5×19
210 = 2×5×7×3
gcf(190,210) = 5
