Triangle DEF is shown below. Which of the following equations could be used to find the value of x?

Answer:

Factoring w2-16w+19

The first term is, w2 its coefficient is 1 .

The middle term is, -16w its coefficient is -16 .

The last term, "the constant", is +19

Step-1 : Multiply the coefficient of the first term by the constant 1 • 19 = 19

Step-2 : Find two factors of 19 whose sum equals the coefficient of the middle term, which is -16 .

-19 + -1 = -20

-1 + -19 = -20

1 + 19 = 20

19 + 1 = 20

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

w2 - 16w + 19 = 0

hope it helps

Step-by-step explanation:

Let find the other trig function first, just sin s and sin c.

Use pythagoren identity to find sin a.

[tex]1 - \cos {}^{2} (s) = \sin {}^{2} (s) [/tex]

cos s=3/5 so cos^2(s)=9/25

[tex]1 - \frac{9}{25} = \sin {}^{2} (s) [/tex]

[tex] \frac{16}{25} = \sin {}^{2} (s) [/tex]

[tex] \frac{4}{5} = \sin(s) [/tex]

Since this is in the first quadrant, it is positve.

Let do the the same thing for sin t.

[tex]1 - \frac{169}{289} = \sin {}^{2} ( {}^{} t) [/tex]

[tex] \frac{120}{289} = \sin {}^{2} (t) [/tex]

[tex] \frac{2 \sqrt{30} }{17} = \sin(t) [/tex]

Now, we can compute

a.

[tex] \sin(s + t) = \sin(s) \cos(t) + \cos(s) \sin(t) [/tex]

[tex] \frac{4}{5} \times \frac{13}{17} + \frac{3}{5} \times ( \frac{2 \sqrt{30} }{17} )[/tex]

[tex] \frac{52}{85} + \frac{6 \sqrt{30} }{85} [/tex]

[tex] \sin(s + t) = \frac{52 + 6 \sqrt{30} }{85} [/tex]

b

[tex] \tan(s + t) = \frac{ \tan(s) + \tan(t) }{1 - \tan(s) \tan(t) } [/tex]

Tan s is 4/3

Tan t is 2 times root of 30/ 13

So we have

[tex] \frac{ \frac{4}{3} + \frac{2 \sqrt{30} }{13} }{1 - \frac{8 \sqrt{30} }{39} } [/tex]

[tex] \tan(s + t) = \frac{52 + 6 \sqrt{30} }{39 - 8 \sqrt{30} } [/tex]

c. They are all in 1st quadrant

Answer: 33

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

Area of a triangle = [tex]\frac{bh}{2} \\[/tex] (base × height ÷ 2)

A = 6 · 11
       2

A = 66
      2

A = 33

Answer:

B step by step is the answer

Answer:

[tex] \: [/tex]

Step-by-step explanation:

Parallelogram is a quadrilateral whose both pairs of opposite sides are parallel and equal and opposite angles are also equal.

[tex] \: [/tex]

So,

[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf { \angle P = \angle R}}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ \pmb{ \sf { 6x - 10 = 2x + 50}}}} \: \: \\ \\[/tex]

Subtracting 2x from both sides we get :

[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf { 6x - 10 - 2x = 2x + 50 - 2x}}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ \pmb{ \sf { 4x - 10 = 50 }}}} \: \: \\ \\[/tex]

Adding 10 to both sides we get :

[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf { 4x - 10 + 10 = 50 + 10 }}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ \pmb{ \sf { 4x = 60 }}}} \: \: \\ \\[/tex]

Dividing 4 from both sides we get :

[tex]{ \longrightarrow \qquad{ \pmb{ \sf { \frac{4x}{4} = \frac{60}{4} }}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ \pmb{ \frak { x = 15 }}}} \: \: \\ \\[/tex]

Therefore,

Answer:

Step-by-step explanation:

Step-by-step explanation:

the height from the 90° angle (which is y here) in a right-angled triangle is the square root of the Sergent lengths of the Hypotenuse.

y = sqrt(3×9) = 3×sqrt(3)

and x we get via Pythagoras :

x² = y² + 9² = 27 + 81 = 108

x = sqrt(108) = sqrt(36×3) = 6×sqrt(3)

so, A is correct.

Answer:

a) inscribed angle LNP

b) minor arc: LP

c) semicircle: LN

The model that can be used to determine the total amount of prize money based on the value of the first place prize is as follows;

Total amount of price money = 5x - 500

The prices are given to the best 5 acts. The first place wins the most money and each place after that wins $50 less than the previous place. The pattern follows a sequence.

Sequence  is a list of things (usually numbers) that are in order. Therefore,

let

the first price = x

The common difference of the sequence would be - 50.

To create a model that can be used to determine the total amount of prize money based on the value of the first place prize can be done as follows;

Therefore,

Total amount of price money = x + x - 50 + x - 100 + x - 150 +  x - 200

Total amount of price money = 5x - 500

learn more on model here: https://brainly.com/question/2400667

Answer:

7/8

Step-by-step explanation:

Answer:

bbbbbbbbbbbb

...........

.........

Answer:

The integers are closed under addition, multiplication and subtraction, but NOT under division

Step-by-step explanation:

9 ÷ 2 = 4½

Answer:

40

Step-by-step explanation:

since they are Similar

m∠E = m∠A =40°

Answer: 3/4

Step-by-step explanation:

The probability that you will land on either red or blue is equal to the sum of the probability that you will land on red and the probability you will land on blue.

The probability you will land on red is 1/2 and the probability that you will land on red is 1/4 by the image.

Therefore, the probability you will land on either is 1/4 + 1/2 = 3/4

Answ1/6

Step-by-step explanation:

1/3 divided by 2

we can change the division sign into multiplication by flipping it and this will also inverse 2

so now we will have

1/3 x 1/2

=1/6

Answer:

27 penguins and 43 bears

i hope thats right lol

Step-by-step explanation:

Answer:

Step-by-step explanation:

8) 1:2 _<__ 3:6

9) 3:5 _>__ 2:4

10) 6:7 _>__ 4:8

11) 5:1 _<__ 7:9

12) 4:6 _<__ 7:6

13) 1:8 __<_ 4:11

14) 5:2 __<_ 10:4

15) 4:3 _> 2:4

16) 7:2 _<__10:3

The point always points towards the smallest number.

Answer:

60

Step-by-step explanation:

since 15 apples makes 3 pies you divided 15 by 3 and get 5. 5 apples for one pie so that would be 5 x 12 = 60

Answer:

Since with 15 apples we are able to make 3 pies, this means that in each pie there are 5 apples (15apples divided by 3 pies = 5 apples.)

If there are 12 pies we simply have to multiply 12x5 which equals 60, this means that if we needed to make 12 pies we would need 60 apples.

15apples:3pies   =   60apples:12pies

Answer:

r<−0.9

Step-by-step explanation:

Let's solve your inequality step-by-step.

r+0.2<−0.7

Step 1: Subtract 0.2 from both sides.

r+0.2−0.2<−0.7−0.2

r<−0.9

Answer:

[tex]\displaystyle 7 = x[/tex]

Step-by-step explanation:

These are alternate interiour angles, and the theorem states that they are congruent, so set both expressions equivalent to each other:

[tex]\displaystyle 10x - 5 = 8x + 9 \Rightarrow \frac{-14}{-2} = \frac{-2x}{-2} \\ \\ \boxed{7 = x}[/tex]

I am joyous to assist you at any time.

Answer:

Step-by-step explanation:

x + y = 16

.75x + .65y = 11

75x + 65y = 1100

-75x - 75y = -1200

-10y = -100

y= 10 organes

x + 10 = 16

x = 6 apples

x= 6 apples

y = 10 oranges

Answer:

1

Step-by-step explanation:

1/4 × 12 hours, since 12 × 1/12 = 1

Answer:

school x = 12

school y = 4

Step-by-step explanation:

School X has eight more points than School Y.

School X has three times as many points as School Y .

Writing these statements in terms of equation 

x = y + 8  

 x = 3 y

Substituting the value of x in y, we get

3 y = y + 8

Taking variable on left side of equation

3 y – y = 8 (subtract y from both sides)

2 y= 8 (divid 2 from both sides)

y = 4

then plug in y to the first equation

x= y + 8

x= 4 + 8

x= 12

Answer:

i think its 54054

Step-by-step explanation:

Rhombus or square.

Hope it helps!

Answer:

yes

Step-by-step

Answer:

If the 7 x 2 is in parenthesis then you would do the 7 x 2 first then do 14 by the power of 3. If there is no parenthesis and the power of 3 is hovering next to the 2 then you would do 2 to the power of 3 and then multiply that by 7.

Step-by-step explanation:

PEMDAS. Whatever is in parenthesis gets solved first, then exponents and so on and so forth.