Answer:
c = 74
d = 122
a = 58
b = 48
Step-by-step explanation:
C: a triangle always equals to 180, so 48 + 58 - 180 = 74
D: Angels next to each other on a line always equal to 180, so 180 - 58 = 122
A: Alternating interior angles of a parallel line equal to each other, so it would also be 58
B: A line is 180, so C + A - 180 = B, 74 + 58 - 180 = 48
<h3>
Answer: See the attached image below</h3>
It shows your screenshot, but I've filled in the blanks with the answers.
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Explanation:
Positive integers represent yards that the team gains. On the opposite side, negative integers represent yards the team loses.
For example, if a team gains 3 yards, then we write that as +3 or simply 3. If a team loses 5 yards, then we write -5. Adding 3 to -5 gets us 3+(-5) = -2 showing the overall result is a loss of 2 yards at the end of the second down.
As another example, if a team gains 7 yards on first down, but then loses those 7 yards on second down, then they gained overall 7+(-7) = 0 yards overall. They haven't gone anywhere at the end of the second down.
We could do things the other way around like this. Suppose the team loses 8 yards on first down, but has better luck on second down to gain 8 yards. They get back to the original line of scrimmage (back to the starting point) and we can say -8+8 = 0. The team hasn't gone anywhere, but it could be worse and they could be dealing with a loss of yardage.
It might help to set up a vertical number line to help try to visualize negative numbers. Each gain means you go upward. Each loss means you go downward. In a sense, it's like a skyscraper and each integer represents floors of the building. Negative integers are basement floors. Zero is the ground level.
Answer:
Rhada can make 48 ornaments if she uses all of the clay.
Step-by-step explanation:
The complete question is:
Rhada has a 6-pound bag of day . Her craft project requires 6 ounces of clay for each batch of 3 ornaments. If she uses all of the clay, how many ornaments can Rhada make?
Solution:
The amount of clay Rhada has, <em>X</em> = 6-pound.
Convert the weight of clay bag into ounces as follows:
1 pound = 16 ounces
6 pound = 16 × 6
= 96 ounces.
So, Rhada has 96 ounces of clay.
It is provided that her craft project requires 6 ounces of clay for each batch of ornaments.
Compute the number of batches that can be made by 96 ounces of clay as follows:
Number of batches = Total weight of clay ÷ Amount required for each batch

Thus, Rhada can make 16 batches of ornaments.
Now, it is also provided that each batch has 3 ornaments.
Compute the number of ornaments in 16 batches as follows:
Number of ornaments = Number of batches × No. of ornament in 1 batch

Thus, Rhada can make 48 ornaments if she uses all of the clay.
Answer: 
Step-by-step explanation:
Let w denotes a seven letter word which Sal will need to make to break the record.
Since you get 50 points for each seven-letter and 100 points for playing the game.
Then the total points earned by you by making w seven letters words will be:

Since, Sal wants to break that record, and needs 18,000 points or more to do so.
Then , the required inequality will be :

1. 60,30,90 right triangle. y will be hypotenuse/2, x will be
hypotenuse*sqrt(3)/2. So x = 16*sqrt(3)/2 = 8*sqrt(3), approximately 13.85640646
y = 16/2 = 8
2. 45,45,90 right triangle (2 legs are equal length and you have a right angle).
X and Y will be the same length and that will be hypotenuse * sqrt(2)/2. So
x = y = 8*sqrt(2) * sqrt(2)/2 = 8*2/2 = 8
3. Just a right triangle with both legs of known length. Use the Pythagorean theorem
x = sqrt(12^2 + 5^2) = sqrt(144 + 25) = sqrt(169) = 13
4. Another right triangle with 1 leg and the hypotenuse known. Pythagorean theorem again.
y = sqrt(1000^2 - 600^2) = sqrt(1000000 - 360000) = sqrt(640000) = 800 5. A 45,45,90 right triangle. One leg known. The other leg will have the same length as the known leg and the hypotenuse can be discovered with the Pythagorean theorem. x = 6. y = sqrt(6^2 + 6^2) = sqrt(36+36) = sqrt(72) = sqrt(2 * 36) = 6*sqrt(2), approximately 8.485281374
6. Another 45,45,90 triangle with the hypotenuse known. Both unknown legs will have the same length. And Pythagorean theorem will be helpful.
x = y.
12^2 = x^2 + y^2
12^2 = x^2 + x^2
12^2 = 2x^2
144 = 2x^2
72 = x^2
sqrt(72) = x
6*sqrt(2) = x
x is approximately 8.485281374
7. A 30,60,90 right triangle with the short leg known. The hypotenuse will be twice the length of the short leg and the remaining leg can be determined using the Pythagorean theorem.
y = 11*2 = 22.
x = sqrt(22^2 - 11^2) = sqrt(484 - 121) = sqrt(363) = sqrt(121 * 3) = 11*sqrt(3). Approximately 19.05255888
8. A 30,60,90 right triangle with long leg known. Can either have fact that in that triangle, the legs have the ratio of 1:sqrt(3):2, or you can use the Pythagorean theorem. In this case, I'll use the 1:2 ratio between the unknown leg and the hypotenuse along with the Pythagorean theorem.
x = 2y
y^2 = x^2 - (22.5*sqrt(3))^2
y^2 = (2y)^2 - (22.5*sqrt(3))^2
y^2 = 4y^2 - 1518.75
-3y^2 = - 1518.75
y^2 = 506.25 = 2025/4
y = sqrt(2025/4) = sqrt(2025)/sqrt(4) = 45/2
Therefore:
y = 22.5
x = 2*y = 2*22.5 = 45
9. Just a generic right triangle with 2 known legs. Use the Pythagorean theorem.
x = sqrt(16^2 + 30^2) = sqrt(256 + 900) = sqrt(1156) = 34
10. Another right triangle, another use of the Pythagorean theorem.
x = sqrt(50^2 - 14^2) = sqrt(2500 - 196) = sqrt(2304) = 48