Find m∠ABC = 7x - 4 and m∠BDC = 9x - 1 and and m∠ABC = 107°, find x, m∠ABC and m∠BDC.

Answer:

y = 90

Step-by-step explanation:

If y varies jointly as x and z, then;

y = kxz

If y = 18 when x = 2 and z = 3

18 = k(2)(3)

18 = 6k

k = 18/6

k = 3

To get y when x = 5 and z = 6

y = kxz

y = 3(5)(6)

y = 15*6

y = 90

Hence the value of y is 90

Answer:

(-2, 3)

Step-by-step explanation:

4x + 5y = 7

3x - 2y = -12

Let's solve this by elimination. We want to eliminate one variable at a time. This means we need to multiply the equations to create a common multiple to cancel out a variable.

Let's work with y.

5y and -2y: For these values to cancel out, we need to multiply each term to create a common multiple.

2(4x + 5y = 7)

5(3x - 2y = -12)

Multiply.

8x + 10y = 14

15x - 10y = -60

Eliminate.

23x = -46

Divide both sides by 23.

x = -2

Now that we know x, let's plug it back into one of equations to find y.

4x + 5y = 7

4(-2) + 5y = 7

Multiply.

-8 + 5y = 7

Add.

5y = 15

Divide.

y = 3

Now we know x and y; let's plug both back into the equation we have not checked yet.

3x - 2y = -12

3(-2) - 2(3) = -12

Multiply.

-6 - 6 = -12

Subtract.

-12 = -12

Your solution is correct.

(-2, 3)

Hope this helps!

Answer:

x < 0

Step-by-step explanation:

If you were to graph the function, you would get a parabola that opens down with the vertex at (0, 0).  So, the graph is increasing from -∞ to 0.

Answer:

21.79 idrk good luck sbnsjsnsjsnsjznsnz xnddn

Answer:

V = A3 i believe im not at explaining stuff ;^;

Answer:

Step-by-step explanation:

1) slope = m = 3

(4 , 2) ;  x₁ = 4 ; y₁ = 2

y - y₁ = m(x  - x₁)

y - 2 = 3(x - 4)

y - 2 = 3x - 4*3

y - 2 = 3x - 12

y  = 3x - 12 + 2

y = 3x - 10     {Slope -intercept form: y = mx + b}

3) (-4 , -2) , (4 , 0)

We have to find the slope

[tex]Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\= \frac{0-[-2]}{4-[-4]}\\\\=\frac{0+2}{4+4}\\\\=\frac{2}{8}\\\\=\frac{1}{4}\\[/tex]

m = 1/4  ; (4 , 0)

y - y₁ = m(x  - x₁)

[tex]y - 0 = \frac{1}{2}(x - 4)\\\\y =\frac{1}{2}x - 4 *\frac{1}{2}\\\\y =\frac{1}{2}x - 2[/tex]

Answer:

X follows binomial distribution with n=4, p=0.6, q= 0.4. To make the system function adequately, at least 2 components should work well.

Step-by-step explanation:

Hope this helps

Answer:

0.9728

Step-by-step explanation:

We have 2 options for the system to fail - no components work, or only one works.

The probability that no components work is:

[tex]0.2^4 = 0.0016[/tex]

The probability that one SPECIFIC component works and the others failed is:

[tex]0.2^3 \cdot 0.8 = 0.0064[/tex]

And because there's 4 components, the chance that EXACTLY ONE works but the others don't is:

[tex]4 \cdot 0.0064 = 0.0256[/tex]

So we sum the probabilities:

[tex]P_{failure} = 0.0016 + 0.0256 = 0.0272\\P_{works} = 1 - P_{failure} = 0.9728[/tex]

Answer:

Letter A

Step-by-step explanation:

He is the ticket clerk so it makes sense people would ask about the ticket prices.

the answer is 8.25 or 8 1/4

you can get this by dividing 22 by 8 to see the price for one can. this gives you 2.75

now you want to know how much 3 cans would cost. we know one can costs 2.75, so we multiply that by 3.

this would give you 8.25 which is your answer

if this was useful please mark brainliest! （>∀<）

Answer:

3 cans of fruit cocktail would cost $8.25

Step-by-step explanation:

[tex] \frac{22}{8} = 2.75[/tex]

2.75*3=8.25

Answer:

First triangle x=9

Second triangle x=20

Step-by-step explanation:

Using Pythagorean theorem

40^2+x=41^2

1600+x^2=1681

-1600        -1600

x^2=81

To find x we do the opposite of powers and find the squared

x=9

Second triangle

21^2+x^2=29^2

441+x^2=841

-441        -441

x^2=400

x=20

Answer:

What do you need to know?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

4 3/8

Step-by-step explanation:

1. We can use the formula

Area = L (length) x W (width)

2. The area is unknown so we can substitute it for a

  The length and width are both known, so we can plug them in.

a= 2 1/2 x 1 3/4

3. Solve by multiplying

a=4 3/8

Area of the rectangle is [tex]4\frac{3}{8}[/tex] meter square

Area is the quantity that expresses the extent of a region on the plane or on a curved surface

Rectangle is a quadrilateral with four right angles

Area of the rectangle = Length × Width

Length of the rectangle = [tex]2\frac{1}{2} =\frac{5}{2}[/tex]

Width of the rectangle = [tex]1\frac{3}{4}=\frac{7}{4}[/tex]

Area of the rectangle = [tex](\frac{5}{2}).(\frac{7}{4})=\frac{35}{8}=4\frac{3}{8}[/tex] meter square

Hence, the area of the rectangle is [tex]4\frac{3}{8}[/tex] meter square

Learn more about Area and rectangle here

https://brainly.com/question/9655204

#SPJ2

Answer:

pretty sure it's B!

Step-by-step explanation:

B the distribution is approximately symmetrical

Answer:

1/10 gallon

Step-by-step explanation:

2/5 left of 1/4 gallon

2/5 x 1/4 = 2/20 = 1/10 gallon

Answer:

14.75

Step-by-step explanation:

12.50*0.18 = 2.25

12.50 + 2.25 = 14.75

Answer:

D

Step-by-step explanation:

1/2 * 3/4 equals 0.375 which is less than .5

.5= 1/2

so therefore,  im right i guess.

Answer:

XuY = { 3,5,6,9,10,12,15}

Answer: (2) {(6,0), (5,0),(4,0)}

It is a function, where each value is associated with exactly one output.

Step-by-step explanation:

A relation is said to be a function if the first components of the ordered pairs are associated with exactly one value of the second components of the ordered pair.

(1) {(0,4), (2,4),(2,5)}

here 2 is associated with 2 different values of second component.

Thus it is not a function.

(2) {(6,0), (5,0),(4,0)}

It is a function, where each value is associated with exactly one output.

(3)  {(4,1),(6,2), (6,3), (5,0)}

It is not a function as 6 is associated with 2 different values of second component.

(4) {(0,4),(1,4), (0,5),(1,5)}​

It is not a function as 0 and 1 are associated with 2 different values of second component.

Answer:

[tex]9\,\sin(60^\circ)[/tex], which is equal to [tex]\displaystyle \frac{9\sqrt{3}}{2}[/tex].

Step-by-step explanation:

An angle of [tex]45^\circ[/tex] corresponds to an isosceles right triangle: the length of the two legs (adjacent and opposite) would be equal. Accordingly:

[tex]\displaystyle \tan(45^\circ) = \frac{\text{Opposite Leg}}{\text{Adjacent Leg}} = 1[/tex].

Let [tex]A[/tex] denote the measure of an angle. Double-angle identity for sine:

[tex]2\, \sin(A) \cdot \cos(A) = \sin(2\, A)[/tex].

By this identity:

[tex]\begin{aligned}& (2\, \cos(30^\circ)) \cdot (3\, \sin(30^\circ)) \\ &= 3\, (2\, \cos(30^\circ) \cdot \sin(30^\circ)) \\ &= 3\, \sin(2 \times 30^\circ) \\ &= 3\, \sin(60^\circ)\end{aligned}[/tex].

([tex]A = 30^\circ[/tex] in this instance.)

Hence:

[tex]\begin{aligned}&(3\, \tan(45^\circ)) \cdot (4\, \sin(60^\circ)) - (2\, \cos(30^\circ)) \cdot (3\, \sin(30^\circ)) \\ &= 12\, \sin(60^\circ) - 3\, \sin(60^\circ) \\ &= 9\, \sin(60^\circ)\end{aligned}[/tex].

[tex]\displaystyle \sin(60^\circ) = \frac{\sqrt{3}}{2}[/tex]. Therefore, [tex]\displaystyle 9\, \sin(60^\circ) = \frac{9 \sqrt{3}}{2}[/tex].

Answer:

72 sets

Step-by-step explanation:

(Easy way)

593 -161=432 spoons needed

432/6 =72 sets

(Harder way)

6= 1

432 =x

432 = 6x

x=72

Answer:

Inequality: 6x + 161 ≥ 593

Answer: x ≥ 72

Step-by-step explanation:

Have a good day :)

Answer:

See below

Step-by-step explanation:

we are given two functions

[tex] \displaystyle \begin{cases}f(x) = - x + 5 \\ g(x) = {x}^{2} - 3x + 2\end{cases}[/tex]

where f(x) is a linear function and g(x) is a quadratic function

we want to figure out the solutions of the function

let's graph f(x):

the Black-table is attached

let's graph g(x):

the picture is attached

hence, the graph should be

the graph is attached

so we need solution(s) which satisfy(ies) the both functions

in this case the solution (s) the x coordinate(s) where both functions intercept we get from the graph that both functions intercept at (-1,6) and (3,2)

hence,

x={-1,3}

Answer:

Option 3:  81 pi cu. in

Step-by-step explanation:

Answer:

f (x) = (x - 2)² + 3

Step-by-step explanation:

Adding 2 to the constant k would shift the entire equation upwards by 2.

Answer:

its a and d

Step-by-step explanation: