Angle a​ and​ ​angle b​ ​are complementary angles. The measure of ∠a is 42°.

Which equation represents this situation with x representing the measure of ∠b ?




A) 90+42=x

B) 42+x=90

C) 42−x=90

D) 90+x=42

Answer:

what do you need to do plz give the question

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

3r = 36

3r/3 = 36/3

r = 12

Answer:

[tex]r = 12[/tex]

Step-by-step explanation:

[tex]3r = 36 \\ \frac{3r}{3} = \frac{36}{3} \\ r = 12[/tex]

Answer:

the second option 2/5 and (3, -2)

Step-by-step explanation:

first for the slope you do rise over run. Meaning you find a point on the graph intersects "cleanly" as in (-2,-4) then find another point on the graph where the line intersects (3,-2). to find the slope you do the change in Y over the Change in X so what that means is that tou would take one Y value and subtract it from the otherY value (from the two points you just found) so in this example (-4)-(-2) which equals -2. then you do the same process for the X values (make sure to start with the same point) so (-2)-(3) which equals -5. then you divide (or leave as a fraction in this case) -2/-5 which simplifies to 2/5. so The slope is 2/5.

Answer:

3/8

Step-by-step explanation:

The total race is equal to 1.  Rewriting this as 8/8.  We subtract the part of the race that as already been run from the total and that is the part that remains

8/8 - 5/8 = 3/8

3/8 remains

Answer:

This is true

Step-by-step explanation:

Take for example 10=5x, you would divide both sides by 5 without changing anything to the equation.

In a case like 5=0x, you can't divide both sides by 0, so the solution is undefined.

Answer:  4:5

Step-by-step explanation:

oranges=4

apples=5

4 oranges to 5 apples

Answer:

5 apples to 4 oranges

Step-by-step explanation:

ratios are easy

Answer:

11 weeks

Step-by-step explanation:

She bought the watch for $149

And paid $50 immediately.

She has $149-$50 left, which gives $99

If she pays $9 each week,

In two weeks, she would be paid $9+$9=$18

In three weeks $9+$9+$9=$27 then it will take her 99/9 weeks to pay off the watch

99/9

It will take her $11 to pay off the watch

Answer:

a is equal to 22 because 11 times 2 is 22

Answer:

A is 22

Step-by-step explanation:

1/2 = 0.5

0.5×22=11

Answer:

no she can not.

Step-by-step explanation:

$37.95 x .0825% = 3.13

$37.95 + $3.13 = $41.08

She will go over her budget

Answer:

One solution: x=2.4, y=0.2

Step-by-step explanation:

x-2y=2

y=-2x+5​

x-2(-2x+5)=2

x+4x-10=2

5x=2+10=12

x=12:5=2.4

y=-2x+5=-2*2.4+5=-4.8+5=0.2

Answer:

263000000000000 72000000000 103000000 11000 89

Step-by-step explanation: hope this helps its converted to a number!

please mark brianliest!

Answer:u=1/16

Step-by-step explanation:

u is inversely proportional to v^2

u=k× 1/v^2

u=k/v^2

When U=4/9 when v=3

4/9=k×1/3^2

4/9=k×1/9

4/9=k/9

Cross multiply

4×9=k×9

36=9k

Divide both sides by 9

36/9=9k/9

4=k

When v= 8, u=?

u=k/v^2

Recall k=4

u=4/8^2

u=4/64

u=1/16

Step-by-step explanation:

Given one is an isosceles trapezoid. Hence its non-parallel sides are equal.

In order to find the Perimeter of trapezoid, we need to find the length of non-parallel sides

Length of non-parallel sides can be obtained using Pythagoras theorem as given below:

[tex]Length \: of \: non-parallel \: sides \\ = \sqrt{ {(diff. \: of \: bases)}^{2} + ({height)}^{2} } \\ = \sqrt{ {(39 - 27)}^{2} + {(12)}^{2} } \\ = \sqrt{ {12}^{2} + {12}^{2} } \\ = \sqrt{2 \times {12}^{2} } \\ = 12 \sqrt{2} \\ = 12 \times 1.414 \\ = 16.968 \\ = 16.97 \: ft \\ \\ perimeter \: of \: trapezoid \\= 39 + 27 + 2 \times 16.97 \\ = 66 + 33.94 \\ = 99.94 \: ft[/tex]

Answer:

34.25

Step-by-step explanation:

Answer:

34.25

Step-by-step explanation:

Divided -102.75 by -3

Answer:

7/10 can't be simplified, 2/10->1/5

Step-by-step explanation:

7/10 cannot be simplified as 7 and 10 don't have any common factors other than 1

2/10 can be simplified by a factor of 2 to get 1/5

Answer:

Simplest form of 7/10=7/10

Simplest form of 2/10=1/5

Step-by-step explanation:

7/10 is 7/10 because it cannot be simply none has the same factors.

Answer: The difference in their ages is 13.

Step-by-step explanation: We shall start by assigning letters to represent the age of each one of them, that is the unknown variables. So, we shall call Rodney’s age r, and his sister’s age we shall call t. If the sum of Rodney and his sister’s age is 31, then we can write this as an expression,

r + t = 31

Also three times Rodney’s age can be written as 3 times r, or simply put, 3r. So five years less than three times Rodney’s age is equal to 3r - 5. Hence his sister’s age is equal to 3r - 5, or simply put,

t = 3r - 5

What we now have is a pair of simultaneous equations

r + t = 31 ————(1)

t = 3r - 5 ————(2)

We shall use the substitution method here. From equation (2), t = 3r - 5. So we shall substitute for the value of t into equation (1).

r + t = 31 now becomes

r + 3r - 5 = 31

4r - 5 = 31

Add 5 to both sides of the equation

4r -5 + 5 = 31 + 5

4r = 36

Divide both sides of the equation by 4

r = 9.

That means Rodney’s age is 9.

If from equation (1) r + t = 31, we can now insert the value of r in order to find t.

r + t = 31

9 + t = 31

Subtract 9 from both sides of the equation

t = 22.

That means his sister’s age is 22 while Rodney’s age is 9.

Therefore the difference in age between Rodney and his sister is

22 - 9 which equals 13.

Answer:

20

Step-by-step explanation:

Answer:

Step-by-step explanation:

Generally equation of a line is given as

y=mx+c

Then given the point (x, y)=(0,2)

Therefore x=0 and y=2

y=mx+c

2=m×0+c

2=0+c

Then, c=2

Then intercept is 2

Also given the point (x, y)=(3,4)

x=3 and y=4 and c=2

y=mx+c

4=m×3+2

4=3m+2

4-2=3m

2=3m

Then, m=2/3

Then, the slope of the graph is 2/3

y=mx+c

Now, m=2/3 and c=2

The general equation of the line becomes

y=2/3x+2

Multiply through by 3

3y=2x+6

Then this is the equation of the line

Answer:

Step-by-step explanation:

The LCD here is 10.

Multiplying numerator and denominator of (4*10^2) by 10 results in:

40*10^3

-------------

     10

and rewriting (2x10^-1) with positive exponent in the denominator results in:

   2

---------

    10

So, before simplification, this difference comes out to be:

40000 - 2        39998            19999

----------------- = ---------------- or ------------

        10                   10                   5

Answer:

A = 18b

Step-by-step explanation:

A = kb

6 = k(⅓)

k = 6×3

k = 18

A = 18b

Answer:

a = 18b

Step-by-step explanation:

Given that a varies directly as b then the equation relating them is

a = kb ← k is the constant of variation

To find k use the condition that a = 6 when b = [tex]\frac{1}{3}[/tex] , thus

k = [tex]\frac{a}{b}[/tex] = [tex]\frac{6}{\frac{1}{3} }[/tex] = 18

a = 18b ← equation of variation

Answer:

yes

Step-by-step explanation:

Answer:

yes it is because a in statistical question, you need to collect data. A non statistical question is where you don't need any data to find out the answer.

I hope this helped!!!

Answer:

5 and - 1

Step-by-step explanation:

2x^2-8x-10=0

a=2,b=-8,c=-10

x1=(-b+sqrt(b^2-4ac))/2a

x1 =(-(-8)+sqrt ((-8)^2-4*2*(-10))/2*2

x1=(8+sqrt (64+80))/4

x1 =(8+sqrt (144))/4

x1=(8+12)/4

x1=20/4

x1 =5

x2=(-b-sqrt(b ^2-4ac)) /2 *a

x2=(8-12)/4

x2=-4/4

x2=-1

Answer: Line s = 17 units

Step-by-step explanation: Please refer to the attached diagram.

The triangle ACD is drawn and labeled such that line BD extends from point D and forms a right angle at point D. A careful observation shows that we now have two right angled triangles. One is DAB and the other is DCB. The unknown side ‘s’ lies on triangle DAB, hence we shall use the available dimensions in DAB. Line AD or a, is the hypotenuse (side facing the right angle). We can now apply the Pythagoras theorem since we have been given the other two sides.

The theorem states that,

AD^2 = DB^2 + AB^2

AD^2 = 15^2 + 8^2

AD^2 = 225 + 64

AD^2 = 289

Add the square root sign to both sides of the equation

AD =17.

Therefore, s measures 17 units

The line BD drawn perpendicular to side AC forms two right triangles with

the side s being of the hypotenuse side.

Reasons:

The given parameters are presented ;

The given triangle = ΔACD

The points on the line BD are; Point B on side AC and point D

Line BD forms a right angle

Line AD = s

Length AB = 8

Length BC = 5

Line BD = 15

According to Pythagorean theorem, we have;

[tex]\overline{AD}[/tex]² = [tex]\overline{BD}[/tex]² + [tex]\overline{AB}[/tex]²

Which gives;

[tex]\overline{AD}[/tex]² = 15² + 8² = 289

[tex]\overline{AD}[/tex] = √289 = 17

Therefore;

[tex]\overline{AD}[/tex] = s = 17

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After accounting for exemptions, Melissa's tax is calculated by multiplying her taxable income by the state income tax rate. Due to missing information regarding the value of exemptions, we've assumed Melissa's entire gross pay is taxable. Therefore, she pays $1,560 per year in state income tax.

Based on the information presented in your question, we're to determine state income tax withholdings for an individual named Melissa Sartini. First, we need to subtract any allowable exemptions from Melissa's annual gross pay. In this question, the figures for the married exemptions are not provided so we'll have to assume that Melissa's taxable income is still $52,000.

To calculate the tax, we simply multiply her taxable income by the state income tax rate. The state income tax rate is given as 3%, so we convert 3% to a decimal (0.03) and multiply by $52,000. This gives us:

$52,000 * 0.03 = $1,560

Therefore Melissa has $1,560 withheld each year for state income tax.

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Answer:

x = 1 and x = -4

Step-by-step explanation:

Step 1:  Factor and find the roots

x^2 + 3x - 4 = 0

(x - 1)(x + 4)

x - 1 + 1 = 0 + 1 and x + 4 - 4 = 0 - 4

x = 1 and x = -4

Answer:  x = 1 and x = -4

Graph Below:

Answer:

6m is the answer

Step-by-step explanation:  We have rounded numbers down and the correct answer is 6.25 =60%  in the illustration it measures 70% =6m rounded up from 5.6

If we refer to reduction r to find meters and input m in the equation to find percent at 6m shown. We can re-arrange at point 6(6m)100 = 36   (6m)100=36/6 =6m 1/100 = 0.6.   or 0.6/6 =1 To find ?r we can show 0.6  as 6r = 0.6 x 100  6r=10   6/10= 4r reduction etc..   60%  to work this out. Based on isolated data of only 6ft being shown and compare the relation with that 0-30%. and 0-40% in change of data with 6= 30% decrease = r  = 6.25 as 6ft is r4 within reduction to 1dp. =3.2 which could be 3.2x 100=+30 etc rearrange and 3.2 x100 =32 +30 is 6.2 

The requried depth at which the intensity will be 60% is 9 meters.

The function which is in format f(x) =aˣ where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

Here,
Let the y be the intensity at distance x below the surface,
Now, exponential function representing the scenario is given as,
y = abˣ

Where,
a = 100%,
b = constant of variability.

Now,
for x = 0, y = 100%,
a = 100% - - - - (1)

And x = 6, y = 70%,
70 = ab⁶ - - - (2)

Dividing equation 1 by 2,
Gives b = 0.9423

Now,
y = 100(0.9423)ˣ

Put y = 60
60 =  100(0.9423)ˣ
x = 8.69
x≈ 9 meters

Thus, the requried depth at which the intensity will be 60% is 9 meters.

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Answer:

12 math problems and 12 pages.

Step-by-step explanation:

Reading=1.5x

Soling math=3x

1.5x+3x=4.5 minutes. Add like terms together.

4.5x=54 minutes. Divide both sides by 4.5 to get x.  So x=12 minutes.

1.5x=18 minutes. 3x=36 minutes

If 1 problem took him 3 minutes,what about 36 minutes??

Now divide 36 by 3. The answer is 12 problems.

If 1 page took 1.5 minutes, what about 18 minutes?? So divide 18 by 1.5 and you will get 12 pages .

Colton solved 9 math problems and read 18 pages.

Since Colton has math and reading homework tonight, and he can solve each math problem in 3 minutes and he can read each page in 1.5 minutes, and the number of pages Colton read is twice the number of math problems he solved, and it took him 54 minutes to complete all of his homework, to determine the number of math problems Colton solved and the number of pages he read, the following calculation must be performed:

Therefore, Colton solved 9 math problems and read 18 pages.

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Area of the parallelogram = 96 yd²

Solution:

The formula to calculate area of the parallelogram = Base × Height

Base of the parallelogram = 8 yd

Height of the parallelogram = 12 yd

To find the area of the parallelogram:

Area of the parallelogram = Base × Height

                                           = 8 yd × 12 yd

                                           = 96 yd²

Area of the parallelogram = 96 yd²