Marty has a standard deck containing 52 cards. If Marty takes one card from the deck, what is the probability that he will selec
2 answers:
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Answer:
The measure of one angle is 81.3° and the other angle is 8.7°.
Step-by-step explanation:
We are given that two angles are complementary. One angle's measure is 3 more than 9 times the other angle.
Let the measure of one angle be 'x' and the measure of other angle be 'y'.
So, according to the question;
- <u>The first condition</u> states that two angles are complementary, this means that the sum of both angles must be equal to 90°, i.e;
x + y = 90°
x = 90° - y ---------------- [equation 1]
- The second condition states that One angle's measure is 3 more than 9 times the other angle, i.e;
x = 3 + 9y ------------ [equation 2]
Now, both the equations we get;
90 - y = 3 + 9y
9y + y = 90 - 3
10y = 87
= 8.7°
Now, putting the value of y in equation 1 we get;
x = 90° - y
x = 90° - 8.7° = 81.3°
Hence, the measure of one angle is 81.3° and the other angle is 8.7°.
Given:
Perimeter of a football field = 920 feet.
The width is 60 feet more than one-third of the length.
To find:
The dimensions of a football field.
Solution:
Let the length of the field be x.
Then, width =
We know that,
Subtract both sides by 120.
Multiply both sides by 3.
Divide both sides by 8.
Now,
Therefore, the length and width of the football field are 300 feet and 160 feet respectively.