What is the equation of the line?

Answer:

[tex]80[/tex]° and [tex]10[/tex]°

Step-by-step explanation:

Complementary angles are a pair of angles whose measures have a sum of [tex]90[/tex]°. Therefore, if we let the measure of the bigger angle be [tex]x[/tex], then the measure of the smaller angle will be [tex]x-70[/tex] because we are given that the difference of the measures of the two angles is [tex]70[/tex]°. We can write the following equation to solve for [tex]x[/tex]:

[tex]x+x-70=90[/tex]

Solving for [tex]x[/tex], we get:

[tex]x+x-70=90[/tex]

[tex]2x-70=90[/tex] (Simplify LHS)

[tex]2x-70+70=90+70[/tex] (Add [tex]70[/tex] to both sides of the equation to isolate [tex]x[/tex])

[tex]2x=160[/tex] (Simplify)

[tex]\frac{2x}{2}=\frac{160}{2}[/tex] (Divide both sides of the equation by [tex]2[/tex] to get rid of [tex]x[/tex]'s coefficient)

[tex]x=80[/tex] (Simplify)

Therefore, the measure of one angle is [tex]80[/tex]° and the measure of the other angle is [tex]x-70=80-70=10[/tex]°. Hope this helps!

We know, sum of complementary angles = 90°

Let, one of the angle = x°

∴ Another angle = (90 - x)°

As per condition,

(x°) - (90 - x)° = 70°

⇒ x° - 90° + x° = 70°

⇒ 2x° = 70° + 90° = 160°

⇒ x° = 80°.

So, angles are:-

Answer:

The answer is 75

Step-by-step explanation:

Sorry if am wrong.

Answer:

550

Step-by-step explanation:

12% of 550 is 66

Answer:

35

Step-by-step explanation:

Answer:

The amount of weight he has lost in 3 months is 1.215 stone or 1 stone 3 pounds

Step-by-step explanation:

From the above question, we are to calculate the amount of weight he has lost in three months

1 stone = 14 pounds

Let's convert all the weight lost to stone

At the start of the diet keirin weighted 14 stone 13 pounds

14 pounds = 1 stone

13 pounds = x

Cross Multiply

14x = 13

x = 13/14

x = 0.9285714286 stone

Approximately = 0.929 stone

Hence:

14 stone 13 pounds = 14 + 0.929 = 14.929 stone

Three months later he weighted 13 stone 10 pounds

14 pounds = 1 stone

10pounds = x

Cross Multiply

14x = 10

x = 10/14

x = 0.7142857143 stone

Approximately = 0.714 stone

Hence:

13 stone 10 pounds = 13 + 0.714 = 13.714 stone

The amount of weight he has lost is calculated as:

14.929 stone - 13.714 stone = 1.215 stone or 1 stone 3 pounds

Answer:

[tex]-\frac{45}{16}[/tex]

Step-by-step explanation:

[tex]g(x)=\frac{x^{2} -7x+1}{4}[/tex]

Take the derivate of g:

[tex]g'(x)=\frac{x-7}{4}[/tex]

Find x that:

g'(x)=0

[tex]\frac{2x-7}{4}=0\\x=\frac{7}{2}[/tex]

This x give the least possible value that are g(7/2):

[tex]g(\frac{7}{2}) =-\frac{45}{16}[/tex]

Answer:

18.58

Step-by-step explanation:

Answer:

18.5

Step-by-step explanation:

just took the test

Answer:

Call the sister's height x. The boy is twice as tall, so that's 2x. The father is 30 cm taller than the boy, so his height is 2x + 30. The combined height is 3.8m, which is 380cm. Now you can write an equation

x + 2x + 2x + 30 = 380

collect like terms

5x = 350

x = 70

the sister is 70cm tall, the boy is 2*70 = 140 cm, and the father is 140 + 30 = 170cm

Check that the heights add up to 3.8m: 70 + 140 + 170 = 380 cm = 3.8m. Correct

Step-by-step explanation:

hope it helps

Answer:  [tex]\dfrac{39}{89}[/tex]

Step-by-step explanation:

Given: In triangle WXY,

∠Y = 90°, XW = 89 units, WY = 80 units and YX = 39 units.

According to trigonometry ,

Cosine of A [tex]=\dfrac{\text{side adjacent to A}}{\text{hypotenuse}}[/tex]

From the figure below,

[tex]\text{cosine of } \angle X=\dfrac{YX}{WX}\\\\=\dfrac{39}{89}[/tex]

Hence, required ratio = [tex]\dfrac{39}{89}[/tex]

Answer:

i believe the fist one is a and second is b

Step-by-step explanation:

lol hope it helped u

Given:

Francis earns a weekly salary of $475 plus a 5.5% commission on sales at a girt shop.

To find:

How much would he earn in a week if he sold $700 in goods?

Solution:

We have,

Fixed weekly salary = $475

Commission percentage = 5.5% on sales.

Total sales of goods = $700

Total commission = 5.5% of 700

                             [tex]=\dfrac{5.5}{100}\times 700[/tex]

                             [tex]=5.5\times 7[/tex]

                             [tex]=38.5[/tex]

Now,

Total weekly salary = Fixed weekly salary + Commission

                                 [tex]=475+38.5[/tex]

                                 [tex]=513.5[/tex]

Therefore, the total weekly salary is $513.5.

Answer:

2 5/6

Step-by-step explanation:

Answer:

the answer is 568/15 if you need help on to computer just look up advanced calculator and its called Desmos Scientific calculator

Step-by-step explanation:

Answer:

P = $10,000

Step-by-step explanation:

The equation modeling a company's profit is P = 4x - 10000.

Substitute x for 5,000.

P = 4(5,000) - 10,000

P = 20,000 - 10,000

P = 10,000

The company's profit will be $10,000 if 5,000 floats are sold.

Answer:

-5/6

Step-by-step explanation:

Using the slope formula we can easily find the slope

m=(y2-y1)/(x2-x1)

m=(-1-4)/(10-4)

m=-5/6

=(x+y) [(x+y) +3]

=(x+y) (x+y+3)

(x + y) (x + y+3) is the factorized form of (x + y)² + 3(x + y)​

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The given equation is  (x + y)² + 3(x + y)​

We know that (a + b)²=a²+b²+2ab

Similarly (x + y)²=x²+y²+2xy

Substitute this in above equation

x²+y²+2xy+3(x + y)​

x²+y²+2xy+3x+3y

Factorising it we get

(x + y) (x + y+3)

Hence,  (x + y) (x + y+3) is the factorized form of (x + y)² + 3(x + y)​

To learn more on Quadratic equation click:

https://brainly.com/question/17177510

#SPJ2

Answer:

The correct graph is the first graph on the top left corner amongst the options

Step-by-step explanation:

The graph that shows that Cindy reads about 3/4 of the time while riding the car is given by the following relation;

Let 't' represent the time Cindy spend riding the car

Therefore, we are given that

The time Cindy spend reading = 3/4·t

Therefore, when Cindy rides the car for t = 4 hours, the time Cindy spend reading = 3/4·t = 3/4 × 4 = 3 hours

The coordinates of the point on the graph will therefore, be (4, 3)

Therefore, when the y-coordinate of the graph )the time Cindy spends reading) = 3, the x-coordinate of the graph (the time Cindy spends driving) = 4

Please find, the correct graph attached here, created with Microsoft Excel which is equivalent to the first graph on the top left corner amongst the options

Answer:

so can it be your age

Step-by-step explanation:

12 mybe

Answer:

[tex]y= 90+15x[/tex]

Step-by-step explanation:

A babysitter gets paid $60 for 4 hours of work. Write an equation to represent how many hours a babysitter would work for $90

Step one:

Given data

A babysitter gets paid $60 for 4 hours of work

let us find the pay per hour

pay per hour will be= 60/4

pay per hour will be= $15

let the number of hours be x and the money earned be y

the expression is

[tex]y= 90+15x[/tex]

Answer:

x=4.0625 cm

Step-by-step explanation:

The Pythagorean theorem states that the square of the hypotenuse of a right triangle equals the sum of the squares of the two legs.

Not knowing which is the hypotenuse, lets assume that (x+5)cm is the hypotenuse:

(x+5)^2= 9^2+(x-3)^2

(x^2+10x+25)=81+(x^2-6x+9)

x^2+10x+25=81+x^2-6x+9

16x=65

x=4.0625

Checking:

(4.0625+5)^2=9^2+(4.0625-3)^2

82.1289=82.1289

Answer:

x = (3.95 and -5.95)

Step-by-step explanation:

Given:

Hypotenuse = 9 cm

Perpendicular = (x+5) cm

Base = (x-3) cm

Find:

Value of x

Computation:

Using Pythagoras theorem

Hypotenuse² = Perpendicular² + Base²

9² = (x+5)² + (x-3)²

81 = x² + 25 + 10x + x² + 9 - 6x

2x² + 4x - 47 = 0

Quadratic Formula

x = [-b±√b²-4ac] / 2a

x = [-4±√16+376] / 2(2)

x = (3.95 and -5.95)

Answer:

B. 63

Step-by-step explanation:

Answer:

e2 = 112 + 92 − 2(11)(9)cos(140°)

Answer:

A

Step-by-step explanation:

2020 Edge

Answer:

[(6x5)÷2]x10x5x2=750

Answer:

x < 2.4

Step-by-step explanation:

subtract 3.8 from each side to get x by itself. that leaves you with x < 2.4

Answer:

4th one

Step-by-step explanation:

just do it. i know im right

Answer:

-9

Step-by-step explanation:

i think it's  -10

that's confusing

Answer:

1/4

Step-by-step explanation:

K.C.F( keep, change, flip) hope this helps

Answer:

????????????????hmmmmm.....

Answer:

13

Step-by-step explanation:

cos(x)=adjacent/ hypotenuse

cos(x)=80/82

x=cos-1(80/82)

x=12.7

cloest to 13

Answer:

43

Step-by-step explanation:

Answer:

Total amount of fuel =200,000 litres

Amount of fuel used = 130,000 litres

Percentage of the fuel capacity used:

[tex] \frac{130000}{200000} \times 100 = \frac{13}{20} \times 100 = 65\% \\ [/tex]

65% of the fuel is used on this flight.