Given:
(a+10) and (a+20) are supplementary
To find:
Each angle
Steps:
if 2 angles are supplementary that means they add up to 180°
(a + 10) + (a + 20) = 180
a + 10 + a + 20 = 180
2a + 30 = 180
2a = 180 - 30
2a = 150
a = 150/2
a = 75°
Now let's find value of each angle,
a + 10 = 75 + 10
= 85°
a + 20 = 75 + 20
= 95°
Therefore, the value of each angle is 85° and 95° respectively
Happy to help :)
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Footballs : basketballs = 2.5 : 1
(x 2)
footballs : basketballs = 5 : 2
⇒ basketballs : footballs = 2 : 5
Answer: <span>The ratio of basketballs to footballs is 5 : 2.</span>
If 68 is a prime number, then the only factors it has are 1 and 68.
If it has any other factors besides 1 and 68, then it's NOT prime.
Right away, without any higher math, you can look at just the last digit
in 68 . The last digit is '8'. That tells you that '68' is an even number,
and THAT tells you that '2' must be one of its factors. So '68' is not a
prime number.
The factors of 68 are 1, 2, 4, 17, 34, and 68 .
68 has four more factors besides 1 and 68, so it's not a prime number.
Answer:
- domain: (-4, ∞)
- range: [-4, ∞)
Step-by-step explanation:
The domain is the horizontal extent of the function. This function is defined for all values of x greater than (but not including) -4. Its domain is (-4, ∞).
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The range is the vertical extent of the function. This function gives output values of any number greater than or equal to -4. Its range is [-4, ∞).
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Interval notation uses square brackets when the value is included in the interval. It uses round brackets (parentheses) when the end value is not included in the interval. ∞ is not a number, so that end always gets a round bracket.