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ASHA 777 [7]
2 years ago
15

Two angles are complementary. One angle measures 60 degrees. What is the measure of the other angle?

Mathematics
2 answers:
topjm [15]2 years ago
7 0

Answer: A

Step-by-step explanation:

Complementary angles sum up to 90 degrees. Thus, we can write that:

90=angle1+angle2

90-angle1=angle2

90-60=angle2

angle2=30

Citrus2011 [14]2 years ago
5 0

Answer:

30

Step-by-step explanation:

Complementary angles add to 90

x+60 = 90

x+60-60 = 90-60

x = 30

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Please help :).......
deff fn [24]

Option B:

The expression equivalent to |a| ≤ 5 is a ≥ -5 and a ≤ 5.

Solution:

Given expression: |a| \leq 5

To find the equivalent expression for the given expression.

Apply absolute value rule:

<em>If |x| ≤ m  then -m ≤ x ≤ m.</em>

|a| \leq 5

⇒ -5 ≤ a ≤ 5

⇒ -5 ≤ a and a ≤ 5

Switch the sides, we get

⇒ a ≥ -5 and a ≤ 5

The expression equivalent to |a| ≤ 5 is a ≥ -5 and a ≤ 5.

Option B is the correct answer.

7 0
3 years ago
From 1st principle find the derivative of log (ax+b)
OLga [1]

Answer:

Step-by-step explanation:

The parent function here is y = log x, where 10 is the base.

The derivative of y = log x is dy/dx = (ln x) / ln 10.

The derivative of y = log (ax+b) is found in that manner, but additional steps are necessary:  differentiate the argument ax + b:

The derivative with respect to 10 of log (ax + b) is:

dy/dx = [ 1 / (ax + b) ] / [ ln 10 ] *a, where a is the derivative of (ax + b).

Alternatively, we could express the answer as

dy/dx = [ a / (ax + b) ] / [ ln 10 ]

5 0
3 years ago
The ages of three children in a family can be expressed as consecutive integers. The square of the age of the youngest child is
tensa zangetsu [6.8K]

Answer: 10, 11, & 12

<u>Step-by-step explanation:</u>

Let x represent the age of the youngest child.  

Their ages are consecutive so,

Youngest: x

Middle: x + 1

Oldest: x + 2

The age of the Youngest squared (x²) equals 8 times the Oldest [8(x + 2)] plus 4.

x² = 8(x + 2) + 4

x² = 8x + 16 + 4

x² = 8x + 20

x² - 8x - 20 = 0

(x - 10)(x + 2) = 0

x - 10 = 0     or      x + 2 = 0

  x = 10       or          x = -2

Since age cannot be negative, x = -2 is not valid

So, the Youngest (x) is 10

the Middle (x + 1) is 11

and the Oldest (x + 2) is 12

4 0
3 years ago
Since there are 6.6 laps in a mile, how many laps will you have to make to run 5 miles?
mezya [45]

Answer:

33 laps

Step-by-step explanation:

we know that

There are 6.6 laps in a mile

so

using proportion

Find how many laps will you have to make to run 5 miles

so

Let

x ----> the number of laps

\frac{6.6}{1}\frac{laps}{mile}=\frac{x}{5}\frac{laps}{mile} \\ \\x=6.6*5\\ \\ x=33\ laps

4 0
3 years ago
An animal shelter takes in an average of 5 animals per day. The shelter must keep its total occupancy below 300. Currently, the
Akimi4 [234]

Answer:

B. x<27

Step-by-step explanation:

300-165=135

135/5=27

8 0
3 years ago
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