Please answer the 2 question.
Will be marked

Given:

In ΔJKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°.

To find:

The value of  ∠K to the nearest 10th of a degree.

Solution:

According to the Law of Sine:

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

We have, In ΔJKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°.

Using the Law of Sine, we get

[tex]\dfrac{j}{\sin J}=\dfrac{k}{\sin K}[/tex]

[tex]\dfrac{3.8}{\sin (63^\circ)}=\dfrac{4.1}{\sin K}[/tex]

[tex]3.8\sin K=4.1\sin (63^\circ)[/tex]

[tex]\sin K=\dfrac{4.1\sin (63^\circ)}{3.8}[/tex]

[tex]\sin K=0.961349[/tex]

[tex]K=\sin^{-1}(0.961349)[/tex]

[tex]K=74.0182[/tex]

[tex]K\approx 74.0[/tex]

Therefore, the measure of angle K is 74.0 degrees.

Answer:

2s + 5a > 1000

s + a < 500

Key:

s represents a sold student ticket

a represents a sold adult ticket

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that Michelle buys a car that costs $15,000 and that she makes a down payment of $5,000 and later pays $3000 in the next payment.

To get the equation that can be used to find the amount she still owes, C, of the car, we will have to deduct the amount that she has paid from the cost of the car. This will be:

C = 15000 - 5000 - 3000

C = 15000 - 8000

Therefore solving the equation further, the amount left to pay will be:

C = 15000 - 8000

C = 7000

Answer: it is a reflection across the x-axis sorry if I responded late

Answer:  the degree will go down 90 degrees

Step-by-step explanation: An obtuse triangle is one that has an angle greater than 90°. An acute triangle is defined as a triangle in which all of the angles are less than 90°.

Answer:

55.9548

Step-by-step explanation:

35.64 ÷ 2 = 17.82

17.82 × 3.14 = 55.9548

Answer: 111.97

Step-by-step explanation:

Circumference of a circle= 2πr

r= d/2

diameter= 35.64

Therefore circumference= 2*(3.14)*(35.64/2)

= 111.97

Answer: 4°F

Step-by-step explanation:

From the question, we are informed that temperature at 5:30 a.m was –4°F and that eight hours later, at 2:30 p.m, the temperature is the opposite of –4°F.

The temperature at 2:30 will be 4°F since the opposite of -4 is +4. Also since there's an interval of 8 hours, it's likely that the temperature increased by 1° for every hour. In 8 hours, it'll have increased by 8°, therefore the temperature will then be:

= -4 + 8

= 4°F

Answer:

-14/20

-21/30

Step-by-step explanation:

-7/10

-7x2=-14 and -10x2=-20

-14/20

-7/10

-7x3=-21 and -10x3= -30

-21/30

Answer:

(9x+3)

Step-by-step explanation:

Answer:

uiuiuiui86767

Step-by-step explanation:

your answer is e330408384

Answer:

The mean is 31

The mode is In this case there is no mode

The median is 32

The range is 29

Answer:

eight hundred seventy five thousand five hundred eighty four

Step-by-step explanation:

Answer:

3.9 pounds

Step-by-step explanation:

Box A=1.4 lbs

Box B=2.5 lbs

Answer= Box A + Box B = 1.4+2.5 lbs

1.4+2.5= 3.9 lbs

Answer:

The answer is below

Step-by-step explanation:

BE and CF are two equal altitudes of triangle ABC using RHS congruence rule prove that triangle ABC is isosceles.

Solution:

A triangle is a polygon with three sides and three angles. Types of triangles are right angled triangle, scalene triangle, equilateral triangle and isosceles triangle.

The RHS congruence rule states that if the hypotenuse and one leg of one triangle is equal to the hypotenuse and leg of another triangle; then the two triangles are equal. Two triangles are equal if they have three equal angles and three equal sides.

We have right angle triangles BEC and BFC

BE = CF (given)

CB = BC (both triangles have the same hypotenuse)

Hence ΔBEC = ΔBFC (RHS congruence rule)

Therefore; ∠BCE = ∠FBC (congruence theorem)

Since two angles of triangle ABC are equal (∠B = ∠C), therefore triangle ABC is an isosceles triangle and AB = AC

Answer:

1.) 169

2.) 63

3.) 50

4.) 221

5.) 6

6.) 501

7.)11

8.) 9

Step-by-step explanation:

sorry i dont have time for the explanation. :( i hope i helped you still

Answer:

(-3,-5)

Step-by-step explanation:

When rotating 180˚ degrees about the origin just switch the value of the number from positive to negative or negative to positive

Answer:

140/90

Step-by-step explanation:

:>

Answer: A. 50

Step-by-step explanation:

Answer:

140.74

Step-by-step explanation:

1.area of right triangle

1/2*b*h=1/2*20*18=180

2.area of semi circle

1/2*pi*r^2=1/2*pi*5^2=39.26

r= d/2

180-39.26=140.74

Answer:

brain

Step-by-step explanation:

brain to the fullest

Answer:

85 lol

Step-by-step explanation:

27+58=85

Answer:

(2,-1)

x=2

y=-1

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

yeyeyeye

Answer:

(2) 23x + 250

Step-by-step explanation:

We are given that

Company charges  for one-time set up=$250

Charge for each printed jersey=$23

x=Number of jerseys for team

We have to find the expression which represents the total cost of x number of jerseys for the team.

Total cost of x jerseys printing=[tex]23\times x[/tex]

Total cost of x jerseys printing[tex]=23x[/tex]

Therefore,

Total cost of x number of jerseys for the team=250+23x

Hence, option (2) is true.

(2) 23x + 250

Answer:Add  

9

to both sides of the equation.

x

=

y

+

9

x

+

y

=

6

Replace all occurrences of  

x

with  

y

+

9

in each equation.

Tap for more steps...

2

y

+

9

=

6

x

=

y

+

9

Solve for  

y

in the first equation.

Tap for more steps...

y

=

−

3

2

x

=

y

+

9

Replace all occurrences of  

y

with  

−

3

2

in each equation.

Tap for more steps...

x

=

15

2

y

=

−

3

2

The solution to the system is the complete set of ordered pairs that are valid solutions.

(

15

2

,

−

3

2

)

The result can be shown in multiple forms.

Point Form:

(

15

2

,

−

3

2

)

Equation Form:

x

=

15

2

,

y

=

−

3

2

image of graph

Step-by-step explanation:

Answer:

y=2x+12

Step-by-step explanation:

y-2=2(x-(-5))

y-2=2(x+5)

y-2=2x+10

y=2x+12

Answer:

1.8 meters

Step-by-step explanation:

7.2÷4= 1.8

Answer:

1.8 m

Step-by-step explanation:

let side be 'a'.

perimiter of a square = 4(a)

7.2 = 4(a)

7.2/4 = a

therefore, a = 1.8 m.

Answer:

x = 1

Step-by-step explanation:

by solving the equation we get ;

Step-by-step explanation:

x = 1

hope it helps

Be happy and make happy

5418-6= 5412

Hope this helps

Answer:

[tex]\frac{x}{x+2} - \frac{4}{x-2}=1\\or, \frac{x(x-2)}{(x+2)(x-2)} -\frac{4(x+2)}{(x+2)(x-2)}=1\\or, \frac{x^2-2x}{x^2-4} -\frac{(4x+8)}{x^2-4} =1\\or, \frac{x^2-2x-(4x+8)}{x^2-4} =1\\or, \frac{x^2-2x-4x-8}{x^2-4}=1\\or, {x^2-6x-8} =x^2-4\\or, -6x-8=-4\\or, 3x+4=2\\or, 3x = -2\\or, x =\frac{-2}{3}[/tex]