All categories

2 years ago

If the measure of an acute angle is represented by x, then the measure of its complement

Mathematics

1 answer:

Luba_88 [7]2 years ago

8 0

Answer:

always true

Step-by-step explanation:

complement equals that angle plus another one adds to 90. If you know that it's less than 90 degrees, then you subtract it from 90 to get the other angle which is the complement. Hope this helps!

You might be interested in

Write a polynomial function in standard form with zeros at −3, −1, and 1.

Annette [7]

Answer:

$f(x) = {x}^{3} + 3 {x}^{2} - x -3$

Step-by-step explanation:

The given polynomial has zeros at:

x=−3, x=−1, and x=1.

This means that:

x+3, x+1, and x-1 are all factors of this polynomial.

The factored form of this polynomial is :

$f(x) = (x + 3)(x + 1)(x - 1)$

We expand the last two factors using difference of two squares.

$f(x) = (x + 3)( {x}^{2} - 1)$

$f(x) = x ( {x}^{2} - 1) + 3( {x}^{2} - 1)$

$f(x) = {x}^{3} - x+ 3 {x}^{2} -3$

$f(x) = {x}^{3} + 3 {x}^{2} - x -3$

This is the standard form because it is now in decreasing powers of x.

8 0

3 years ago

On the right side, give a reason to justify each step made on the left

cestrela7 [59]

Given that: step 1

$3x+12=8x-18$

step 2: subtract 3x both side

$\begin{gathered} 3x+12-3x=8x-3x-18 \\ 12=5x-18 \end{gathered}$

Step 3: Add 18 both side:

$\begin{gathered} 12+18=5x-18+18 \\ 30=5x \end{gathered}$

Step 4: divide both side by 5

$\begin{gathered} \frac{30}{5}=\frac{5x}{5} \\ 6=x \end{gathered}$

Step:6 The value of x is:

x=6

8 0

1 year ago

involving the election of officers on a committee. Assume that the committee consists of 14 members including Tasha. The same th

Yanka [14]

Answer:

There are 364 ways of filling the offices.

Step-by-step explanation:

In this case, the order of filling of the offices does not matter, so, we can figure out the different ways of filling the offices by using the combination formula:

$C^{n} _{r}=\frac{n!}{(n-r)!r!}$

where n=14 (number of members)

r=3 number of offices

n!=n·(n-1)·(n-2)·...·3·2·1

$C^{14} _{3}=\frac{14!}{(14-3)!3!}=\frac{14*13*12*11*10*9*8*7*6*5*4*3*2*1}{(11*10*9*8*7*6*5*4*3*2*1)*(3*2*1)}=\frac{14*13*12}{3*2*1} =364$

5 0

3 years ago

You need a 50% solution. On hand, you have a 200 mL of a 35% alcohol mixture. You also have 70% alcohol mixture. How much of the

CaHeK987 [17]

Answer:

150 mL

Step-by-step explanation:

We need a mixture that is at 50%, now we have 200 mL at 35% and another mixture that is at 70%, that is, we must calculate how much of this mixture is added, by the following equation

200 * 35% + x * 70% = 50% (x + 200)

70 + 0.7 * x = 0.5 * x + 100

0.7 * x - 0.5 * x = 100 - 70

0.2 * x = 30

x = 30 / 0.2

x = 150

150 mL must be added so that the mixture is 50%.

6 0

3 years ago

Please help!! Im bad at this

GuDViN [60]

Answer:

Step-by-step explanation:

This is proportional because the number of calories burned is directly proportional to the amount of time spent on the treadmill

3 0

3 years ago