PLEASE HELP PLEASE!!!! AB←→||CD←→ . Find the measure of ∠BFG.

PLEASE HELP PLEASE!!!! AB||CD . Find The Measure Of BFG.

Answers

Answer 1

Answer:

BFG = 135

Step-by-step explanation:

The angles are alternate interior angles and alternate interior angles are equal when the lines are parallel

3x+15 = 5x-5

Subtract 3x from each side

3x+15-3x = 5x-5-3x

15 = 2x-5

Add 5 to each side

15+5 = 2x-5+5

20 = 2x

Divide by 2

20/2 = 2x/2

10 =x

We know that AFG + BFG = 180 since it forms a straight line

AFG + BFG = 180

3x+15 + BFG = 180

3(10) + 15  + BFG = 180

30+15 + BFG = 180

45 + BFG = 180

BFG = 180-45

BFG = 135

Answer 2

Answer:

<BFG = 135

Step-by-step explanation:

They are the same angle, so they will be equal to eachother.

3x + 15 = 5x - 5

-3x          -3x

----------------------

     15   = 2x - 5

     +5           +5

-----------------------

     20 = 2x

     -----   ----

       2      2

      10 = x

3(10) + 15

30 + 15

   45

180-45 = 135

The answer is 135.


Related Questions

Please hurry I will mark you brainliest

Answers

Answer: a = 115°

Reason Co interior angles add up to 180°

a + 65 = 180

a = 180 - 65

a = 115

Answered by Gauthmath must click thanks and mark brainliest

HELP THANKS SO MUCH BRAIN FOR CORRECT

Answers

Answer:

i think the answet is 0.625

Match the two numbers with their least common multiple (LCM).

Answers

Answer:

Step-by-step explanation:

6 and 4 : LCM is 12

6 and 8: LCM is 24

6 and 10 LCM is 30.

6&4: option C
6&8: optionA
6&10: option B

help me with this question: Find y

Answers

Answer:

y = 4

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle θ = 45

Hypothenus = 4√2

Adjacent = y =?

The value of y can be obtained by using cosine ratio as illustrated below:

Cos θ = Adjacent / Hypothenus

Cos 45 = y / 4√2

Cross multiply

y = 4√2 × Cos 45

Recall

Cos 45 = 1 / √2

Therefore,

y = 4√2 × 1/√2

y = 4

Reflect triangle ABC across the line x = 2. Then the reflect (image) A', B' and C' across the line x = -3.

Answers

Answer:

The first reflection makes the points (1,1), (-1,1) and (1,4) and the second reflection changes THOSE to (-7,1) (-5,1) and (-7,4).  Just connect the dots to make the triangle.

Let me know if anything did not make sense.  

Step-by-step explanation:

Reflect just means how far away is each point to the line of reflection?  then ake a new point the sae distance, but in the opposite direction.  You always want to use a line that makes a right angle to the line of reflection too, so since x=2 and x=-3 are verticallines you are going to use horizontal lines to measure where A, B and C are.

So the three points are A:(3,1), B:(5,1) and C:(3,4)

Now use a horizontal line to measure how far A, B and C are from x=2.

A is 1 spance to the right of x=2, so A' (what A turns into) is 1 space to the left.  so (3,1) becomes (1,1)  The y value does not change since you are only using the horizontal direction for reflection.  B changes fro (5,1) to (-1,1) and finally C changes from (3,4) to (1,4)

Now the second reflection is the exact same process, but witht he new points reflected across x = -3.  So the new points are (-7,1) (-5,1) and (-7,4).

Find the 27th term of the arithmetic sequence 15, 17.25, 19.5, 21.75,...

Answers

Answer:

The 27th term is 73.5.

Step-by-step explanation:

We want to find the 27th term of the arithmetic sequence:

15, 17.25, 19.5, 21.75, ...

We can write a direct formula. Recall that the direct formula for an arithmetic sequence is given by:

[tex]x_n=a+d(n-1)[/tex]

Where a is the initial term and d is the common difference.

From the sequence, we can see that our initial term a is 15.

To find the common difference, subtract a term and its previous term. Thus, the common difference will be:

[tex]d=17.25 - 15 = 2.25[/tex]

Thus, our direct formula is:

[tex]x_n=15+2.25(n-1)[/tex]

To find the 27th term, let n = 27. Substitute and evaluate:

[tex]\displaystyle \begin{aligned} x_{27} &=15+2.25((27)-1) \\ &= 15+2.25(26) \\&= 15+58.5 \\ &= 73.5\end{aligned}[/tex]

Thus, the 27th term is 73.5.

need some help with this​

Answers

Answer:

1/3

Step-by-step explanation:

Slope is rise over run

your rise is 1 (because you only go up one block each time)

your run is 3 ( because you go right three times)

so 1/3

How do you find the diameter of a quarter circle?

Answers

Answer:

um 1/4

Step-by-step explanation:

i really need help with this since it’s practice for my midterms

Answers

Answer:

It is D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Evaluate the fractions inside the absolute value

2 [tex]\frac{5}{6}[/tex] + [tex]\frac{7}{4}[/tex] ( change mixed number to improper fraction )

= [tex]\frac{17}{6}[/tex] + [tex]\frac{7}{4}[/tex] ( the LCM of 6 and 4 is 12 ) , then

= [tex]\frac{17(2)}{6(2)}[/tex] + [tex]\frac{7(3)}{4(3)}[/tex]

= [tex]\frac{34}{12}[/tex] + [tex]\frac{21}{12}[/tex] ( add the numerators, leaving the common denominator )

= [tex]\frac{55}{12}[/tex]

= 4 [tex]\frac{7}{12}[/tex] → D

A tax on which of these products or services would not be considered a sin
tax"?
O A. Alcohol
O B. Gambling
O C. Electronics
O D. Tobacco

Answers

Answer: electronics

Hope that helps

The option that is not considered a sin tax is option B, gambling.

What is a sin tax?

A sin tax is a tax that is applied to "harmful things" to society or individuals. An example of this is Tobacco.

From the given options, the harmful ones are alcohol, gambling, and tobacco. These 3 are considered harmful, so would be included under the sin taxes.

Then the option that is not considered a sin tax is option B, gambling.

If you want to learn more about taxes:

https://brainly.com/question/25783927

#SPJ5

i have 17 coins. N of them are nickels and the rest are dimes. write an expression in two different ways for the amount of money that i have

Answers

Answer:

Step-by-step explanation:

(N)0.05 + (17-N)0.1 = M; M = amount of money I have.

Or 1.7-0.05N = M.

An expression two different ways to  the amount of money is equals to

1. 5N + 10 (17 -N)  = Y cents

2. N + 2(17 - N) = Y nickels

What is amount?

" Amount is defined as the total of any given quantity."

According to the question,

Total number of coins = 17

Number of nickels coins = N

Number of dimes coin = 17 - N

'Y' express the amount of money

Represent amount of money in cents

1 dime = 10 cents

1 nickel = 5 cents

Expression to represents amount of money in cents,

5N + 10 (17 -N)  = Y cents

Expression to represents amount of money in nickels,

1 dime = 2 nickel

N + 2(17 - N) = Y nickels

Hence, an expression two different ways to  the amount of money is equals to

1. 5N + 10 (17 -N)  = Y cents

2. N + 2(17 - N) = Y nickels

Learn more about amount here

https://brainly.com/question/27337635

#SPJ3

What is the solution to the inequality x2 < 16 – 6x?
Question 7 options:

A)

x < –8 or x > 2

B)

x < –8 and x > 2

C)

–8 ≤ x ≤ 2

D)

–8 < x < 2

Answers

Answer:

D

Step-by-step explanation:

2x < 16 - 6x

Bring the variables to one side

2x < 16 - 6x

+6x       +6x

8x < 16

Divide both sides by the coefficient

8x/8 < 16?8

x < 2

Can some some help me with this one?

Answers

Answer: 7.5 x 10^3 is the answer.

Step-by-step explanation: First, 7.5 x 10^9 is 7500000000. Next, if you convert it to kilometers you would get 7500. And, 7.5 x 10^3 = 7500. Thus, that is the answer.

abc or d please help me!

Answers

A is the answer because the dot Is on point (10,3)

Answer:

A

Step-by-step explanation:

Cuz that’s the only graph that goes with the statement.

on this graph it’s saying the cost of 3 hair accessories is $10.

X = 3

Y = 10

REALICE LOS SIGUIENTES PROBLEMAS DE ECUACIÓN DE LA RECTA CORRECTAMENTe

1.- Encuentre la ecuación vectorial de la recta si tenemos A(4, -2) y el vector V=(2, 5) paralelo a la recta y que pasa por A


2.- Encuentre la ecuación general de una recta conociendo un punto P(-2 ; 4) y su pendiente m= - 5 y grafique la recta.

Answers

Answer:

1. La ecuación vectorial de la línea es [tex]\begin{bmatrix} & x & \\ & y & \end{bmatrix} =\begin{bmatrix} & 4 & \\ & -2 & \end{bmatrix} + t \times \begin{bmatrix} & 2 & \\ & 5 & \end{bmatrix}[/tex]

2. La ecuación de la recta es, y = -5·x - 6

Step-by-step explanation:

 1. El punto dado en la línea es A (4, -2), el vector paralelo a la línea es (2, 5)

Por tanto, la ecuación vectorial de la línea es;

[tex]\begin{bmatrix} & x & \\ & y & \end{bmatrix} =\begin{bmatrix} & 4 & \\ & -2 & \end{bmatrix} + t \times \begin{bmatrix} & 2 & \\ & 5 & \end{bmatrix}[/tex]

Donde;

t = Cualquier número

2. El punto por el que pasa la recta es P (-2; 4)

La pendiente de la recta, m = -5

Por lo tanto, la ecuación de la línea en forma de punto y pendiente se presenta de la siguiente manera;

y - 4 = (-5) · (x - (-2)) = -5 · x - 10

∴ y - 4 = -5 · x - 10 + 4 = -5 · x - 6

La ecuación de la recta es, y = -5·x - 6

Match the range of the function f(x) = x2 + 2x − 1 to its domain.
2 -2 3 -3
2 --
14 --
7 --
-1 --

Answers

Answer: (2,7) (-2,-9) (3,11) (-3,-13)

Step-by-step explanation:

(2)(2)+(2)(2)-1 = 7

(2) (-2)+(2)(-2)-1 = -9

(3)(2)+(2)(3)-1 = 11

(-3)(2)+(2)(-3)-1 = -13

Solve for x.
A) -9
C) -5
B) -11
D) 10

Answers

Answer:

here's the answer to your question

Answer: D. 10

Step-by-step explanation:

Concept:

Here, we need to know the triangle sum theorem.

The Triangle Sum Theorem states that the sum of the three interior angles in a triangle is always 180°.

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

According to the Triangle Sum Theorem:

∠1 + ∠2 + ∠3 = 180

Substitute the angle values

(60) + (50) + (7x) = 180

Combine like terms

110 + 7x = 180

SUbtract 110 on both sides

110 + 7x - 110 = 180 - 110

7x = 70

Divide 7 on both sides

7x / 7 = 70 / 7

x = 10

Hope this helps!! :)

Please let me know if you have any questions

A cage holds two litter of rats. One litter comprises one female and five males. The other litter comprises seven females and two males. A random selection of two rats is done. Find the probability that the two rats are from the same litter.​

Answers

Answer:

The probability that the two rats are from the first litter is 14.28%, and the probability that the two rats are from the second litter is 34.28%.

Step-by-step explanation:

Since a cage holds two litter of rats, and one litter comprises one female and five males, while the other litter comprises seven females and two males, and a random selection of two rats is done, to find the probability that the two rats are from the same litter the following calculation must be performed:

6/15 x 5/14 = 0.1428

9/15 x 8/14 = 0.3428

Therefore, the probability that the two rats are from the first litter is 14.28%, and the probability that the two rats are from the second litter is 34.28%.

1) With the help of given figure.

a) Write the names of minor and major arcs.

b) If mzAOQ = 70° then find m(arcAYQ) and

m(arcAXQ).​

Answers

[tex]\\ \Large\sf Minor\:Arc\longmapsto AOQ[/tex]

[tex]\\ \Large\sf Major\:arc\longmapsto AXQ[/tex]

Now

[tex]\\ \Large\sf\longmapsto m<AOQ=70°[/tex]

[tex]\\ \Large\sf\longmapsto m<AXQ=2m<AOQ[/tex]

[tex]\\ \Large\sf\longmapsto m<AXQ=2\times 70[/tex]

[tex]\\ \Large\sf\longmapsto m<AXQ=140°[/tex]

simplify 1+tan^2x÷1+tan^2x​

Answers

Answer:

uihuii

Step-by-step explanation:

The average age of a preschool class is 4.5 years old. If there is one 3-year-old, five 5-year-olds, and two other children both of the same age, what is the age, in years, of the other two children?

Answers

Answer:

3.1

Step-by-step explanation:

5 x5 =25

25+3=28

the other children are 4 years old

A box contains a yellow ball, an orange ball, a green ball, and a blue ball. Billy randomly selects 4 balls from the box (with replacement). What is the expected value for the number of distinct colored balls Billy will select?

Answers

Answer:

[tex]Expected = 0.09375[/tex]

Step-by-step explanation:

Given

[tex]Balls = 4[/tex]

[tex]n = 4[/tex] --- selection

Required

The expected distinct colored balls

The probability of selecting one of the 4 balls is:

[tex]P = \frac{1}{4}[/tex]

The probability of selecting different balls in each selection is:

[tex]Pr = (\frac{1}{4})^n[/tex]

Substitute 4 for n

[tex]Pr = (\frac{1}{4})^4[/tex]

[tex]Pr = \frac{1}{256}[/tex]

The number of arrangement of the 4 balls is:

[tex]Arrangement = 4![/tex]

So, we have:

[tex]Arrangement = 4*3*2*1[/tex]

[tex]Arrangement = 24[/tex]

The expected number of distinct color is:

[tex]Expected = Arrangement * Pr[/tex]

[tex]Expected = 24 * \frac{1}{256}[/tex]

[tex]Expected = \frac{3}{32}[/tex]

[tex]Expected = 0.09375[/tex]

PLEASE ANSWERRRR ULL BE SO COOL ILL MARK BRAINLEST!!!

Answers

The letter B is between -1 and -2, meaning that it is -1.5. Hope this helps

A student states that the reflection of triangle ABC across the y-axis is triangle A’B’C’. Determine if the student is correct or has made an error. <:)

Answers

Answer: The student is not correct

To reflect over the y axis, you use this rule

[tex](x,y) \to (-x,y)[/tex]

The x coordinate swaps in sign (from positive to negative, or vice versa) while the y coordinate stays the same.

So for a point like A(1,1), it should move to A ' (-1, 1) and not (-2,1) like the diagram shows.

B(3,1) should move to B ' (-3, 1)

C(1,4) should move to C ' (-1, 4)

It appears that the student applied a reflection over the y axis, and then they shifted the triangle 1 unit to the left.

What is the measure of

Answers

Answer:

try D

Step-by-step explanation:

What is the measure of m?

Answers

Answer:

12

Step-by-step explanation:

bc it is

Find the angle that has tangent,1.000.Give your answer correct to two significant figures​

Answers

Answer:

Step-by-step explanation:

Degrees   Radians   tangent

60°      π/3         √3

45°            π/4                     1

30°           π/6                 1/√3

0°            0                   0

helpppppppppppppppppppppppppppppppppppp

Answers

Answer:

5

Step-by-step explanation:

Given: i = 5¹

5¹ = 5

Therefore, the correct option is 5

Please help me ASAP I need it

Answers

Answer:

XYZ, SAS

Step-by-step explanation:

Because angle B corresponds with angle Y, side AB corresponds with side XY, and side BC corresponds with YZ, we see that side A corresponds with side X, side B corresponds with side Y, and side C corresponds with side Z.

This means that triangle ABC corresponds with triangle XYZ. Since we only know one angle and two sides, they are congruent due to the SAS postulate.

PLEASE HELP!!!!!!!
Which terms are like terms in the following expression? 3x + 3xy – 2x + 5y + 5x2
A. 3x and -2x
B. 3x, -2x and 5x2
C. 3x, 3xy, -2x and 5y
D. All terms are alike.

Answers

Answer:

C

Step-by-step explanation:

A the answer is A because they have the same ending
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