Are the two triangles congruent?

Choose 1 answer:


(Choice A)

A-Yes

B-No

C-There is not enough information to say.

Answer: For this equation, the value of x is - 2/3.

Step-by-step explanation:

1. Resolving the equation 2/3-4x+7/2=-9x+5/6

-4x + 9x = 5/6 - 2/3 - 7/2 (Putting the all the x values on the left)

5x = (5/6 - 4/6 -21/6)

5x = -20/6

x = - 20/6 /5 (Dividing by 5 at both sides)

x = -20/6 * 1/5

x = -4/6 = - 2/3 (Simplifying)

2. Proof of replacing x by -2/3

2/3 - 4 (-2/3) + 7/2 = -9 (-2/3) + 5/6

2/3 + 8/3 + 7/2 = 18/3 + 5/6

10/3 + 7/2 = 6 + 5/6

20 + 21 = 36 + 5 (Multiplying by 6 at both sides)

41 = 41

It means the value of -2/3 for x is correct

Answer:

[tex]x=-\frac{41}{60}[/tex]

Step-by-step explanation:

[tex]Grou. similar.terms:\\\frac{3}{4} -4x+\frac{7}{2} = -9x+\frac{5}{6} \\Find LCM (Lest Common Multiplier) and adjsut:\\[/tex]

[tex]-4x+\frac{3+14}{4} =-9x+\frac{5}{6} \\\\Subtract\\-4x+\frac{17}{4} - \frac{17}{4} =-9x+\frac{5}{6} - \frac{17}{4}\\After simplifying add\\-4x + 9x =-9x- \frac{41}{12} + 9x\\Simplify\\5x = - \frac{41}{12}\\Divide\\\frac{5x}{5} = \frac{-\frac{41}{12}}{5} \\Simplify.one.last.time\\x=-\frac{41}{60}[/tex]

Don't forget the - in front of the answer

Answer:

9a + 3b + 6c

Step-by-step explanation:

4a-6b+9c + 5a+9b-3c

4a + (-6b) + 9c + 5a + 9b + (-3c)

(4a + 5a) + (-6b+9b) + (9c-3c)

9a + 3b + 6c

Answer:

the person below is correct I believe

Step-by-step explanation:

hope this helped have a good rest of your night :)❤

Answer:

C

Step-by-step explanation:

because i said

11+x=48

x=48-11

x= 37

[tex] 😘 \: 😉 \: 😈 \; 😫 \: 😤 \: 😡 \: 😘[/tex]

Answer:

  C.  x-intercepts (1, 0) and (3, 0); y-intercept -3; vertex (2, 1)

Step-by-step explanation:

You are given y = -x² +4x -3.

For quadratic y = ax² +bx +c,  the sum of the x-intercepts is -b/a, and their product is c/a. Here, that means the sum of the x-intercepts must be -4/(-1) = 4. That eliminates choice A.

The y-intercept is the constant (c), so is -3. That eliminates choice D.

The x-coordinate of the vertex is -b/(2a), which is half the sum of the x-intercepts. Here, that is 4/2 = 2. That eliminates choice B.

The only remaining answer choice is the correct one: choice C.

Answer: where is the picture?

Answer:

63

Step-by-step explanation:

Answer:

  94.1 °F

Step-by-step explanation:

The formula is ...

  F = 9/5C +32

Using 34.5 for C, we get ...

  F = 9/5(34.5) +32 = 62.1 +32 = 94.1

34.5 °C = 94.1 °F

1 4/9 ÷ 2/3 = 13/9 x 3/2 = 13/6

ok done. Thank to me :>

Answer:

67 math, 142 history

Step-by-step explanation:

lets say the number of math textbooks was x and the number of history textbooks is y. we have x+y=209 and x=y-75. we can plug the second equation into the first to get y-75+y=209. simplfy to get 2y=284 so y=142. since x=y-75, x=67

Answer:f(x)=1.5-x + 8

Step-by-step explanation:

Answer:

7839 ...........

The amount gotten after $1689 invested for 4 years at 3% compounded annually is $1901

The amount of money gained after an investment is compounded is given by:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

Where P is principal, A is the final amount, r is the rate, n is the number of times compounded per period and t is the time

Given that P = $1689, t = 4, r = 3% = 0.03, n = 1, hence:

[tex]A=P(1+\frac{r}{n} )^{nt}\\\\A=1689(1+\frac{0.03}{1} )^{4*1}\\\\A=\$1901[/tex]

The amount gotten after $1689 invested for 4 years at 3% compounded annually is $1901

Find out more at: https://brainly.com/question/14295570

Garnetta will have 3,200 shares worth $ 34,125 each.

Given that Garnetta owned 2400 shares of Metropolitan Corporation at a price of $ 45.50, and the stock split 4-for-3, to determine how Garnetta was financially affected by the split the following calculation must be performed:

Therefore, Garnetta will have 3,200 shares worth $ 34,125 each.

Learn more in https://brainly.com/question/13981349

Finding the value of x,

→ 2x + 3 - 3 = - 6

→ x + (3 - 3) = - 6/2

→ [ x = -3 ]

Thus, the value of x is -3.

Answer:

AC ≈ 50.5

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan29° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{28}{x}[/tex] ( multiply both sides by x )

x × tan29° = 28 ( divide both sides by tan29° )

x = [tex]\frac{28}{tan29}[/tex] ≈ 50.5 ( to the nearest tenth )

Answer:

50.5

Step-by-step explanation:

In the right triangle, focus on angle A.  The side marked 28 is the opposite side, and the side marked  x  is the adjacent side.  The trigonometric ratio that uses those two side is the tangent ratio.

tangent = (opposite) / (adjacent)

[tex]\tan{29^\circ}=\frac{28}{x}[/tex]

Multiply both sides by  x.

[tex]x\cdot \tan{29^\circ}=28[/tex]

Divide by tan 29 degrees.

[tex]x=\frac{28}{\tan{29^\circ}}[/tex]

Use a calculator (in degree mode!) to approximate  x.

[tex]x \approx 50.5[/tex]

Answer:

the ancwer is 1536

Step-by-step explanation:

i used a coculater

Answer:

each item would be $10. hope this helps.

Step-by-step explanation:

    [] 3, 7, 11, 15, 19, 23

4 is being added

    [] 4, 8, 16, 32, 64, 128

They are being multipled by 2

    [] 9, 16, 25, 36, 49, 64

It is increasing the addition by 2s, first one is adding 7, then 9, then 11, etc

    [] 256, 64, 16, 4, 1, 1/4

It is being divided by 4

    [] 50, 45, 34, 26, ____, _____

I am currently unsure on this one, if I figure it out I will edit my answer to reflect that!

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

La expresion que podemos utilizar para encontrar el valor de los lados del cuadrado :

R = [tex]\sqrt{x^{2}+16x+64}[/tex]

Answer:

x² + y² = 17

Step-by-step explanation:

The standard  equation of a circle is :

(x -h)² + ( y -k) ²= r², where (h, k) are the a coordinate of the center of the circle and r is the radius of the circle

If the end point of diameter has the coordinates (-4,-1) and  (4,1)​ then the center is at the origin so we have (h= 0, k= 0)

The radius is half of the diameter so is the distance form (0,0) to (4, 1).

We can use Pythagorean Theorem to find r²

r ² = 4²+1² =  17

(x -h)² + ( y -k) ²= r², substitute what we found out

(x -0)² + ( y -0) ²= 17

x² + y² = 17

This is the equation of the circle given characteristics end point of diameter (-4,-1) , (4,1)​

The principal amount if the interest rate is 3.5% a year is equal to $3000.

Given the following data:

Conversion:

12 months = 1 year

21 months = 1.75 year

To calculate the principal amount if the interest rate is 3.5% a year:

Mathematically, simple interest is given by the formula:

[tex]S.I = \frac{PRT}{100}[/tex]

Where:

Making P the subject of formula, we have:

[tex]P = \frac{100S.I}{RT}[/tex]

Substituting the given parameters into the formula, we have;

[tex]P = \frac{100 \times 183.75}{3.5 \times 1.75}\\\\P = \frac{18375}{6.125}[/tex]

Principal amount, P = $3000

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Answer:

18:28

Step-by-step explanation:

Answer:

5:13

Step-by-step explanation:

The total number of students = 5+8 = 13

Step-by-step explanation:

LCD of 4/x²t and x/t²

= LCM(x²t , t²)

= x²t²

Answer:

Step-by-step explanation:

30,000 /10,000= 3 months