In the diagram shown, FJ bisects AD BL~=LC. The length of BL is 10 less than the length of AB. The length of AD is 220. What is the length of BD?

Answer:

Range of the function → (-∞, 1)∪(1, ∞)

Step-by-step explanation:

Two function has been given as,

f(x) = (x + 1)

and g(x) = [tex]\frac{1}{x}[/tex]

Then (fog)(x) = f[g(x)]

Now f[g(x)] = [tex]\frac{1}{x}+1[/tex]

As shown in the graph,

Domain of the graph is (-∞, 0) ∪ (0, ∞) [Since vertical asymptote of the function is x = 0, so x = 0 will not be included in the domain]

And the range is (-∞, 1) ∪ (1, ∞) [Since horizontal asymptote is y = 1, so y = 1 will not be included in the range]

Answer:  Insert a 6.  The number divisible by 12 is  1464    

Step-by-step explanation:  Start by dividing 12 into the first two digits.

I am using old-fashioned long division.

       1  2

12 ) 14 6

     -12

         26.           this is the remainder, The next digit has to be a number that when divided by 12 will leave a remainder, that when paired with 4, will be evenly divisible by 12.

6 is that number . When you "bring down" the 6, you will be dividing 26÷12.  a  2 goes into the quotient, and in the next step 24 is subtracted from 26; the remainder is 2.

Bring down the 4 and divide 12 into 24.  The result is 2 as the quotient.  2 ×12 =24 .  24- 24 is 0

1464 ÷ 12 = 122

Answer:

<ART

Step-by-step explanation:

A chord in a circle is a straight line segment whose endpoints both lie on the circle.

Some chords are TN, EI, AT, and FG (diameter, special type of chord).

EI and TN intersect at in angles <ART and <NRS (the top angles don't have a specific name for the point of intersection).

An angle formed by two chords is ∠TRI which is formed due to the intersection of chord TN and EI at point R.

A chord of a circle is a straight line segment whose endpoints both lie on a circular arc. If the chord passes through the center it is the diameter of the circle.

The chords in the circle are AT, TN, and EI.

Therefore, the angles that are formed due to the intersection of two chords are ∠ANT, ∠TRI, and ∠ERN.

Thus, An angle formed by two chords is ∠TRI which is formed due to the intersection of chord TN and EI at point R.

Learn more about Chord:

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Answer:

Step-by-step explanation:

Q = 7m + 3n,

R = 11 - 2m,

S = n + 5,

T = -m - 3n + 8.

Q + S - T = 7m + 3n + (n + 5) - (-m - 3n + 8)

Q + S - T = 7m + 3n + n + 5 + m + 3n - 8

Q + S - T = 8m + 7n - 3

Answer: domain is all real numbers and range is all real numbers greater than or equal to -2

Step-by-step explanation:

Answer:

36°.

Step-by-step explanation:

According to the question, m∠ABD is a straight angle. This means that it is a 180 degree angle.

m∠CBD and m∠ABC add up to make the straight angle, so the two measures add to be 180 degrees.

(8x + 16) + (6x - 60) = 180

8x + 6x + 16 - 60 = 180

14x - 44 = 180

14x = 224

x = 16

m∠ABC = 6x - 60

6 * 16 - 60 = 96 - 60 = 36

So, m∠ABC = 36°

Hope this helps!

Answer:

36 degrees

Step-by-step explanation:

8x + 16 + 6x - 60 = 180

14x = 224

x = 16

m<ABC = 6x-60

m<ABC = 96-60

m<ABC = 36

Answer:

Step-by-step explanation:

y=4x^2-7

vertex(0,-7)

Answer:HL

Step-by-step explanation:

By B. HL (hypotenuse and one of the leg) theorem we can conclude that DHF = EHG

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

We know the longest side of a right-angled triangle, known as the hypotenuse is always in opposition to the right angle.

According to the hypotenuse leg(HL) theorem, two right triangles are congruent if the hypotenuse and one leg of one right triangle coincide with the hypotenuse and leg side of the second right triangle.

In the given diagram DF ≅ EG and DH ≅ EH then according to HL congruency theorem DHF = EHG

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Answer:

The correct answer is

D) 66.35

The sine of the angle = the length of the opposite side. the length of the hypotenuse.

The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.

The tangent of the angle = the length of the opposite side. the length of the adjacent side.

So in shorthand notation:

sin = o/h   cos = a/h   tan = o/a

Often remembered by: soh cah toa

Answer:

C

Step-by-step explanation:

BC is the opposite of angle 54, adi is AC=39

tan54=opp/adj.

BC=AC(tan54)

BC=39(1.376)=53.6789 close to 53.68

Answer:

p = 3

Step-by-step explanation:

We have a right triangle with both legs equal, whose hypotenuse is 3 times the root of 2.

We know both legs are equal because we have identical opposite angles in this right rectangle.

If we apply the Pythagorean theorem, we obtain:

[tex]p^2+p^2=(3\sqrt{2})^2=9\cdot 2=18\\\\2p^2=18\\\\p^2=18/2=9\\\\p=\sqrt{9}\\\\p=3[/tex]

Answer:

27

Step-by-step explanation:

Since pink dots is the highest(30) and Purple is second highest so purple must be close to 30.

The requried, height of the purple bar on the relative frequency bar graph is 22, and the answer is (D) 22.

Statistics is the study of mathematics that deals with relations between comprehensive data.

Here,
Since the vertical axis of the bar graph is marked off in percentages, we can determine the height of each bar by multiplying its frequency by 2, since 50 students were surveyed (i.e., 100% of the sample size).

The frequency of the purple color pattern is 11, so its height on the bar graph is 11*2 = 22.

Therefore, the height of the purple bar on the relative frequency bar graph is 22, and the answer is (D) 22.

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Answer:

It is a reflection over the y-axis (D)

Step-by-step explanation:

Each corresponding point is equidistant from the y-axis and follows the rule (x,y) turns to (-x,y). For example the point (1,1) is mapped to (-1,1) and both points are 1 unit away from the y-axis so we know that one is the reflection of the other.

Answer:

reflection over y axis

Step-by-step explanation:

did it on usatestprep and made a 100

Answer:

Carlos graphed the perpendicular bisector of the segment that joins the two points. (a line)

Step-by-step explanation:

Carlos graphed the set of points that are equidistant from both point A and point B.

Carlos graphed the perpendicular bisector of the segment that joins the two points. (a line)

Answer:

(-5, 8)

Step-by-step explanation:

Step 1: Multiply 2nd equation by -1

x + y = 3

-y = -8

Step 2: Elimination

x = -5

Step 3: Find y

y = 8

Answer: #1  A=9    #2  Naomi started with 6 bushels

Step-by-step explanation:

4A-1 = 3A + 8   Subtract 3A from both sides  4A -3A -1 = 3A-3A + 8 to get

A -1 = 8    Add 1 to both sides   A -1 + 1  = 8 + 1 to get

A = 9 .   Check by substituting 9 in place of A

4(9) - 1 = 3(9) + 8   multiply: 4×9 = 36 . 3×9=27

36 -1  =  27 + 8     do the subtraction and addition

35 = 35 .True.  

Part 2:   The original number plus 5 equals 11

B + 5 =  11 .  . Subtract  5 from both sides

B +5 -5 = 11 -5

B = 6

Check: If she started with 6 bushels and added 5 bushels, she would have 11 bushels all together. True.

Answer:

18

Step-by-step explanation:

hello,

as this is a parallelogram we can write that BE = DE so

15x + 4 = 9x + 6

<=> 15x - 9x + 4 = 6

<=> 6x = 6 - 4 = 2

<=> x = 2/6 = 1/3

so BE = DE = 15/3+4=5+4=9

so BD = BE + DE = 9 + 9 = 18

the correct answer is 18

hope this helps

Answer:

Vertically opposite angles are equal

So

x = 75°

Vertically opposite angles are equal

So

5y = 135°

Divide both sides by 5

y = 27

Hope this helps you

Answer:

(B)72 fluid ounces

Step-by-step explanation:

To convert cups to fluid ounces, Sari wrote the equivalent ratios.

[tex]\dfrac{8 \text{ fluid ounces}}{1\text{ cup}} =\dfrac{\text{? fluid ounces}}{9\text{ cups}}[/tex]

Let the question mark be represented by x.

We then have:

[tex]\dfrac{8 \text{ fluid ounces}}{1\text{ cup}} =\dfrac{\text{x fluid ounces}}{9\text{ cups}}\\$Cross multiply\\x \times 1 = 8 \times 9\\x=72$ fluid ounces[/tex]

We conclude that there are 72 fluid ounces in 9 cups.

Answer:

B

Step-by-step explanation:

Answer:

The events are not independent

[tex]P(S) = 0.8[/tex]

[tex]P(Logo\ A) = 0.62[/tex]

Step-by-step explanation:

Given

--------------Logo A --- Logo B ---Total

Students ----- 67----------33--------100

Teachers ----- 11 ----- ----- 14 -----  25

Total ----- ------78-----------47--------125

Required

Determine if being a student and preferring logo A are independent events

Let P(S) represent probability of being a student

Let P(Logo A) represent probability of preferring logo A

Let P(S n Logo A) represent probability of  being a student and preferring logo A

To determine if they are independent, we have to calculate

P(S), P(Logo A) and P(S n Logo A)

P(S) = Total Students / Total Population

[tex]P(S) = 100/125 = 0.8[/tex]

P(Logo A) = Total that prefers Logo A / Total Population

[tex]P(Logo\ A) = 78/125 =0.624[/tex]

P(S n Logo A) = Number of students that prefer logo A /  Total Population

[tex]P(S\ n\ Logo\ A) = 67/125 = 0.536[/tex]

If the events are independent, then the following condition must be satisfied

[tex]P(S\ n\ Logo\ A) = P(S) * P(Logo\ A)[/tex]

Substitute the values of P(S), P(Logo A) and P(S n Logo A)

[tex]0.536 = 0.8 * 0.536[/tex]

[tex]0.536 \neq 0.4288[/tex]

Since they are not equal, then the events are not independent

[tex]P(S) = 0.8[/tex]

[tex]P(Logo\ A) = 0.62[/tex]

Answer: b

Step-by-step explanation: just took the quiz

Answer:

x = 31

Step-by-step explanation:

[tex]3x+43=4x+2(4+2)\\\\\rightarrow 2*4=8\\\rightarrow 2*2=4\\\\3x+43=4x+8+4\\\\3x+43=4x+12\\\\3x+43-43=4x+12-43\\\\3x=4x-31\\\\3x-4x=4x-31-4x\\\\-x=-31\\\\\frac{-x}{-1}=\frac{-31}{-1}\\\\\boxed{x=31}[/tex]

Answer:

x=31

Step-by-step explanation:

first we simlify to get the simplist equation. 3x + 43 = 4x + 12. then 4x - 3x equalls and 43 - 12 equals 31.    

Step-by-step explanation:

would you please attach the drawing?????

Answer:

Chord is 13

Step-by-step explanation:

Calculating the length of chords QS and TR:

QS = 9 + 4x = 9 + 4 = 13

TR = 12 + (x+2) = 12 + 3 = 15

Answer:

The 6th term is first integer value of n greater then 50 in the 2n^2 sequence.

Step-by-step explanation:

2n^2 sequence:

2,8,18,32,50,72

Answer:

36 = 6(6)

[tex]x^{2} -(6)^2[/tex]

(x+6)(x-6)

(x+6)(x-6)

Answer:

B

the relationship between independent variable A and Dependent variable C and the relationship between independent variable A and Dependent variable C can both be analysed, but they must analyzed using separate scatterplotd

Answer:

its B

Step-by-step explanation:

Answer:

Unlikely

Step-by-step explanation:

Certain= 100% chance of your event occuring.

Impossible = 0% chance of your event occuring.

Neither of these apply.

Likely= >50% = >4/8

Unlikely= <50% = <4/8

Unlikely

Answer:

2.1

Step-by-step explanation:

Length of the segment BC can be obtained by using cosine law.

cos A =(b^2 + c^2 - a^2) /2bc

cos 20° = (5^2 +6^2 - a^2) /(2*5*6)

0.9396926208 = (25 + 36 - a^2) /60

0.9396926208 * 60 = 61 - a^2

56.3815572 = 61 - a^2

a^2 = 61 - 56.3815572

a^2 = 4.6184428

a = 2.14905626

a = 2.1 units

Hence, lenght of BC = 2.1 units.

Answer:

The journal entry to record bad debt expense should be:

December 31, 2019, bad debt expense

Dr Bad debt expense 9,000

    Cr Allowance for doubtful accounts 9,000

Net account receivables = $350,000 - $9,000 = $341,000

The allowance for doubtful accounts is a contra asset account that decreases the balance of accounts receivable (balance sheet). Bad debt expense is included in the income expenses and decreases total sales.

Answer:

B. $36.25+$3.89x≤$58.50

Step-by-step explanation:

It has to be less than or equal to $58.50

Answer:

$36.25+$3.89x≤$58.50

Step-by-step explanation:

Let x be the number of folders with paper Jessica buys. If Jessica buys x folders for $3.89 each, then she pays $3.89x for all x folders.

She wants to buy one backpack for $36.25, so her total buying costs

$36.25 + $3.89x

Jessica saved a total of $58.50 to spend on school supplies, then her total buying cannot exceed this sum, so  the answer would be $58.50.

Answer:

4028.5

Step-by-step explanation:

V=4000+4.75 (6)

V= 4000+28.5

V=4028.5

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Answer: Hope this helps <3

Step-by-step explanation:

[tex]V=4000+4.75n\\\\Substitute\\V = 4000 + 4.75(6)\\\\Multiply\\\\V = 4000+28.5\\\\Add\\\\V = 4028.5[/tex]

Answer:

The discriminant equals to 0

Step-by-step explanation:

We have to remember our discriminant rules;

d > 0, we have 2 real roots

d = 0, we have 1 real root

d < 0, we have 2 complex roots