Function or not a function?

Given:

An angle measures 170° less than the measure of its supplementary angle.

To find:

The measure of each angle.

Solution:

Let x be the measure of supplementary angle.

Then, the measure of the angle is (x-170°).

Sum of supplementary angles is 180 degrees. So,

[tex]x+(x-170^\circ)=180^\circ[/tex]

[tex]2x-170^\circ=180^\circ[/tex]

[tex]2x=180^\circ+170^\circ[/tex]

[tex]2x=350^\circ[/tex]

Divide both sides by 2.

[tex]x=\dfrac{350^\circ}{2}[/tex]

[tex]x=175^\circ[/tex]

Now, the measure of the angle is

[tex]175^\circ-170^\circ=5^\circ[/tex]

Therefore, the measure of angle is 5° and the measure of its supplementary angle is 175°.

Answer:

175 , 5

Step-by-step explanation:

Answer:

d = 7.2

Step-by-step explanation:

We can cross multiply the equation to get:

6 * 30 = 25 * d

(* is multiplication sign by the way)

180 = 25d

Divide both sides by 25 to get:

d = 7.2

Answer:

29 pages

Step-by-step explanation:

Answer:

First, converting R percent to r a decimal

Solving our equation:

The initial deposit amount is $4,250.00.

Given that,

Based on the above information, the calculation is as follows:

We know that

[tex]SI =P\times R\times T\\\\SI = P\times 2.7\% \times 22\\\\SI = 0.594P[/tex]

Now

Investment worth = P  + SI

= P + 0.594P

= 1.594P  

So,  

1.594P  = 6774.50

P  = $4,250  

Therefore we can conclude that the initial deposit amount is $4,250.00.

Learn more: brainly.com/question/13324776

Answer:

117

Step-by-step explanation:

180-101 = 79

180-(79+38)

180-117

63

180-63=117

Answer:i believe it’s A

Step-by-step explanation:

4,5,3 are almost the same and almost the same rotation just letters are different

Answer:

8 remainder 4

Answer + Explanation:

First, find what the sum of the interior angles must be. You can use the formula 180(n - 2) where n is the number of sides to find this.

n = 5, so 180( 5 - 2) = 180 * 3 = 540 degrees.

Then, you can add up all the interior angles of the pentagon and it will add to 540. This means that:

2x + x + 2x + 90 + 90 = 540

5x + 180 = 540

5x = 360

x = 72

Then you can go through and find the measure of each angle:

S = 90 degrees (given)

T = 2x = 2 * 72 = 144 degrees

U = x = 72 degrees

V = 2x = 72 * 2 = 144 degrees

W = 90 degrees (given)

Answer:

the answer is 1:30pm/am

Answer:

42

Step-by-step explanation:

Answer:

x = 104 degrees

y = 76 degrees

z = 104 degrees

quadrilateral have to add up all of their interior angles to 360 degrees.

x and c are  opposite interior angles.  after finding that you have to add those 2 together (208) and subtract that from 360. You should get 152. However andgle B (angle y) and angle D are also opposite interiors so you divide 152 by 2 and get 76 degrees.

Also a straight line is 180 degrees so you subtract the degrees of D by 100 to get angle z.

Answer:

m∡x = 104°

m∡y = 76°

m∡z = 104°

Step-by-step explanation:

m∡A ≅ m∡C

m∡B ≅ m∡D

to find m∡B:  2(104) + 2y = 360

                       208 + 2y = 360

                       2y = 152

                        y = 76

m∡z:  180° - 76° = 104°

Answer:

20.25 per cup because 81÷4= 20.25 then

1) read the label=81 per 4-cups

2) 20.25x4=82 calories

Step-by-step explanation:

hope this helps :D

Answer:

y=(0.1)x and y=2(1/4)x represent exponential decay

the rest all are an equation used for exponential growth

Answer:

Step-by-step explanation:

Answer:

a students test score is likely to increase about 20 pointsfor each hour spent studying

Step-by-step explanation:

I hope this helps have a great day

Answer:

437/471

Step-by-step explanation:

would consider downloading photomath

Answer:

[tex]The~vertex~of~parabola~f(x) = a(x-h)^2+k~is~(h,k).\\Given~equation~of~parabola~is:\\f(x) = 3(x+2)^2-1\\So,~ h =-2 ~and~k=-1\\Therefore,~(-2,-1)~is~the~vertex~of~parabola.[/tex]

Answer:

530.93

Step-by-step explanation:

Answer:

a= 530.93 or the closest number to it...

Step-by-step explanation:

your welcome

Answer:

31) 11

32) 14

33) 30.6

34) 16.5

Step-by-step explanation:

31) GW is half the length of UW and UW is equal to 22. So, 22/2 = 11

32) VY is half the length of VX and VY is equal to 7. So, 7 x 2 = 14

33) VR is half the length of VX and VR is equal to 15.3. So, 15.3 x 2 = 30.6

34) UH is half the length of FH and FH is equal to 33. So, 33/2 = 16.5

Answer:

y=-3x-1

Step-by-step explanation:

Slope-intercept format:

y = mx+b

m = slope

b = y-intercept

Now we plug it in to get the equation:

y=-3x-1

I hope this helped!

Sincerely,

Rekifromsk8theinfinity

:D

Answer: 39°

Step-by-step explanation:

This is a right triangle, meaning one of the angles is a 90° angle. Angle CBA in this case is the 90° angle. In order to figure out the measure of ABD, you subtract the measure of CBA by the measure of CBD, which is 51°.

90 - 51 = 39

Thus, the measure of ABD is 39°

Answer:

3 miles per hour

Step-by-step explanation:

Speed is defined as the distance covered per unit time, which can be expressed mathematically as follows;

Speed = Distance/Time

The given parameters are;

The length of the circular running track = 1/8 mile

The time it takes Elena to complete a lap = 1/24 hour

Therefore, we have;

Elena's running speed = The distance Elena completes/(The time it takes Elena to complete the given distance)

∴ Elena's running speed = The 1/8 mile track/(1/24 hour)

[tex]Elena's \ running \ speed =\dfrac{\dfrac{1}{8} \ mile }{\dfrac{1}{24} \ hour } = \left (\dfrac{1 }{8} \times \dfrac{24}{1 } \right ) \ \dfrac{mile}{hour} = \dfrac{24}{8} \ \dfrac{mile}{hour} =3 \ mile/hour[/tex]

Elena's running speed = 3 mile per hour.

Step-by-step explanation:

this is your answer to the question that you asked

Answer:

I think its OB but I'm not sure

Step-by-step explanation:

Answer:

its height.=44cm

area of right angled triangle=66cm²

1/2 b×h=66

3×h=66×2

h=66×2/3=22×2=44cm

Answer:

The value of the lesser integer is [tex]28[/tex]

Step-by-step explanation:

Let two consecutive positive integers be [tex]x,x+1[/tex].

Product of two consecutive positive integers = [tex]x(x+1)=x^2+x[/tex]

Also, product of two consecutive positive integers is 812

So,

[tex]x^2+x=812\\x^2+x-812=0\\x^2+29x-28x-812=0\\x(x+29)-28(x+29)=0\\(x-28)(x+29)=0\\x=28,-29[/tex]

As [tex]x[/tex] is a positive integer,

[tex]x=-29[/tex] is rejected.

So,

[tex]x=28\\x+1=28+1=29[/tex]

Two positive integers are [tex]28,29[/tex]

The value of the lesser integer is [tex]28[/tex]

Answer:

B

Step-by-step explanation:

Answer:

1)16(x+y) is not equal to 4x+12y, it is equal to 16x+16y

2)2x^2-y+5+3 is not equal

3)3x & 3y

4)15x+15

5)commutative