AJ is the bisector of ∠HJI. Determine the value of x. ANSWERS: A) 50 B) 10 C) 8 D) 25

Answer:

Rs 60

Step-by-step explanation:

[tex]5x \times (1+25\%)+5x \times (1-16\frac{2}{3}\%)=625[/tex]

[tex]5x(1+0.25)+5x(1-1/6)=625[/tex]

[tex]5x(1.25)+5x(5/6)=625[/tex]

[tex]10.416667x=625[/tex]

[tex]\frac{10.416667x}{10.416667}=\frac{625}{10.416667}[/tex]

[tex]x=59.99999...[/tex]

[tex]x=60[/tex]

Answer:

oki

Step-by-step explanation:

what do you need help with? :)

Answer:

B. [tex](a-4)(a-7)[/tex]

Step-by-step explanation:

a*a makes it a^2

-4*-7=28

-4a+-7a=-11a

Answer: K = 6

Step-by-step explanation:

If you find the inverse of the inverse function, it will return back to initial function.

The inverse of r^-1 (x) will give r(x).

To find the inverse of r^-1(x), let it be equal to y. Interchange y and x for each other and make y the subject of formula. That is,

Y = 2x^2 - 14

Interchange y for x

X = 2y^2 - 14

2y^2 = x + 14

Y^2 = x/2 + 14/2

Square both side

Y = sqrt ( x/2 + 7 )

It is only when K = 6, that will can get the value above.

Answer:

[tex]\mathrm {7.1 \: inches}[/tex]

Step-by-step explanation:

Circumference of a circle is [tex]\pi d[/tex]

The diameter is [tex]2.25[/tex] inches as shown in the readings of the scale.

[tex]2.25\pi[/tex]

[tex]\approx 7.06858347058[/tex]

Answer:

D. The equations do not have the same solution because the second eqlition can never be obtained when multiplying the first

equation by any value

Step-by-step explanation:

-21=14 Equ(1)

6.1=-42 Equ(2)

Multiplying the first equation by -3 will give

-63= -42

Which is not equivalent to the second equation

Multiplying the first equation by 3, we have

-63=42

Not equivalent to the second equation

Multiplying both sides of the first equation by -4, we have

84=56

Not equivalent to the second equation

D. The equations do not have the same solution because the second eqlition can never be obtained when multiplying the first

equation by any value

Answer:

24 scoops

Step-by-step explanation:

Each scoop is 1/4 and each bird feeder needs 1 1/2. 6 scoops of 1/4 make one bird feeder and for 4 bird feeders you would need 24 scoops.

Answer: If you want to make more cookies then what is called for in this situation then you would need 6 cups of milk.

Step-by-step explanation: You have 2 cups of milk and 3 cups of flour of course. In order to make a complete batch you need 2 cups of milk and 3 cups of flour. In order to make a second batch you need the same things as you did for the first batch. Therefore two batches of cookies requires 4 cups of milk and 6 cups of flour. In this situation you want to make 3 batches of cookies. The required items are 6 cups of milk and 9 cups of flour.

Answer:

C = 2mr =

r=

m=

Step-by-step explanation:

Not sure if it's correct.

Answer:

The discount is $3.75.

Step-by-step explanation:

You can cross-multiply and divide: the original price can be multiplied by the percent off and then divide it by 100.

12.5×30=375

375÷100=3.75 which is the amount of the discount.

Answer:

[tex]b[/tex] ≈ [tex]12.0[/tex]

Step-by-step explanation:

Using the Pythagorean theorem: [tex]a^2+b^2=c^2[/tex] where a and b are the legs and c is the hypotenuse.

[tex]12^2+b^2=17^2\\144+b^2=289\\[/tex]

Subtract 144 from both sides

[tex]b^2=145\\[/tex]

Square root both sides

[tex]b=\sqrt{145}[/tex]

[tex]b[/tex] ≈ [tex]12.0[/tex]

Answer:

Step-by-step explanation:

[tex]12^{2} + b^{2} = 17^{2} \\144 + b^{2} = 289\\b^{2} =289-144\\b^{2} =145\\b=\sqrt{145} \\b = 12.04\\b = 12[/tex]

Hope it helps tell me if its right

Answer: The answer is the second one/b.

Answer:

D. 22/1=x/3

Step-by-step explanation:

Well what you multiply by the top you must do the bottom and opposite way also goes, sometimes so to get three as shown in (x/3) you must use the 1 from (22/1) times something to equal 3. In this it would be 1*3=3 so I multiplied three to the bottom and what I do the the bottom I haft to do to the top so 22*3=x and x is equal to 66 witch makes (D. 22/1=x/3) the correct option. If you want or need to check a good way to is to use a calculator to multiply 22*3 just as a small check up.

Answer:

The lines that make this up are y = 5, x = 4 and y = x so the answer is y ≤ 5, x ≥ 4 and y ≥ x.

Answer:

D 6 seconds

Step-by-step explanation:

Hope this helps!!! Please amrk as Brainlyest

Answer:

n(m%)

Step-by-step explanation:

By Translate the following into an expression: m% of n. Thus, the expression is 0.01mn.

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

We have to Translate the following into an expression:

m% of n

m x 1/100 x n = 0.01mn

Thus, the expression is 0.01mn.

Learn more about simplification;

https://brainly.com/question/17579585

#SPJ2

Answer:

Trust me it’s I disagree

Step-by-step explanation:

So you have to use the Pythagorean Theorum which is [tex]a^2+b^2=c^2[/tex] and in this case a is 70 and b is 40.

So if we plug those numbers in we have to square a and b and add them which is 6,500 and to find c we have to find the square root of 6500 which is about 80 so lines PR and QR are different

Answer:

It's I disagree

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The area of a circle is equal to:

[tex]\pi \times {r}^{2} [/tex]

r = 1/2 the diameter

1/2 of 14 is 7

7 squared is 49

The area is 49π

Answer:

Option C.

Step-by-step explanation:

It is given that James earns $1000 weekly base pay as a sales-person.

We know that, we have 4 weeks in a month. So, monthly salary of james is

Monthly income [tex]=\$1000\times 4=\$4,000[/tex]

It is said that he sold $20,000 worth of merchandise last month and he gets a 10% commission on everything he sells.

Commission [tex]=\$20,000\times \dfrac{10}{100}=\$2,000[/tex]

Total amount = Monthly income + Commission

          [tex]=\$4,000+\$2,000[/tex]  

          [tex]=\$6,000[/tex]  

Therefore, the correct option is C.

Answer:

27 Oz of 25% alcohol

Step-by-step explanation:

--percent ---------------- quantity

Alcohol I 30 ---------------- 18 Oz

alcohol II 25 ---------------- x Oz

Mixture 27 ---------------- 18 + x Oz

30*18+25x=27(18+x)

540+25x =486+27 x

25x-27x =486+540

-2x=-54

/ -2

x = 27

27 Oz of 25% alcohol

Answer:

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

Enlarging it in the ratio 2:3 means dividing it by 2 and multiplying it by 3.

Lest's pretend the original size was 100 in. 100/2x3=150

So in this case we enlarged it by 50 in. which is 50% of 100.

So, the enlargement as a percentage is 50%

Answer:

50% more

3-2=1

1/2=0.5

0.5=50%

You can also double check by adding half of two and checking if it is 3

2 x 0.5 = 1

2 + 1 = 3

50% increase

Hope this helps

Step-by-step explanation:

Answer and Step-by-step explanation:

Answer:

The coordinates of C are (5 , 2)

The slope of CD is 3

The coordinates of D are (6 , 5) and (4 , -1)

Step-by-step explanation:

* Now lets study the problem

- The ends points of line AB are A = 2 , 3) and B = (8 , 1)

- CD is the perpendicular bisector of AB, and C lies on AB

- That means:

# C is the mid-point of AB

# The slope of AB × the slope of CD = -1 (one of them is a multiplicative

 inverse and additive inverse of the other)

-Ex: the slope of one is a/b, then the slope of the other is -b/a

* The mid-point between two points (x1 , y1) and (x2 , y2) is:

 [(x1 + x2)/2 , (y1 + y2)/2]

∵ C is the mid-point of AB

∴ C = [(2 + 8)/2 , (3 + 1)/2] = [10/2 , 4/2] = (5 , 2)

* The coordinates of C are (5 , 2)

- The slope of a line passing through points (x1 , y1) and (x2 , y2) is:

the slope = (y2 - y1)/(x2 - x1)

∴ The slope of AB = (1 - 3)/(8 -2) = -2/6 = -1/3

∵ CD ⊥ AB

∴ The slope of CD × the slope of AB = -1

∴ The slope of CD = 3

* The slope of CD is 3

- The length of a line passing through points (x1 , y1) and (x2 , y2) is:

the length = √[(x2 - x1)² + (y2 - y1)²]

∵ The length of CD = √10

∵ Point D is (x , y)

∴ (x - 5)² + (y - 2)² = (√10)²

∴ (x - 5)² + (y - 2)² = 10 ⇒ (1)

∵ The slope of CD is (y - 2)/(x - 5) = 3 ⇒ by using cross multiply

∴ (y - 2) = 3(x - 5) ⇒ (2)

- Substitute (2) in (1)

∴ (x - 5)² + [3(x - 5)]² = 10 ⇒ simplify

* [3(x - 5)]² = (3)²(x - 5)² = 9(x - 5)²

∴ (x - 5)² + 9(x - 5)² = 10 ⇒ add the like terms

∴ 10(x - 5)² = 10 ⇒ ÷ 10 both sides

∴ (x - 5)² = 1 ⇒ take √ for both sides

∴ x - 5 = ± 1

∴ x - 5 = 1 ⇒ add 5 to both sides

∴ x = 6

* OR

∴ x - 5 = -1 ⇒ add 5 to both sides

∴ x = 4

- Substitute the values of x in (2)

∴ y - 2 = 3(6 - 5)

∴ y - 2 = 3 ⇒ add 2

∴ y = 5

* OR

∴ y - 2 = 3(4 - 5)

∴ y - 2 = -3 ⇒ add 2

∴ y = -1

* The coordinates of D are (6 , 5) and (4 , -1)

Answer:

[tex]x[/tex] = - [tex]\frac{2y}{3}[/tex] + 2

Step-by-step explanation:

Solve for [tex]x[/tex] by simplifying both sides of the equation , isolating the variable.

Hope this helped you, Also please let me know if anything is unclear or wrong!

Answer:

Step-by-step explanation:

Answer:

4.

Step-by-step explanation:

Answer:

A. - 3.

B. - 1.

C. - 5.

D. - 4.

E. - 2.

Step-by-step explanation:

A. Definition refers to a statement that exactly defines the object, thing or everything.

B. Postulate or axiom is a statement that is accepted as true in order to initiate an argument.

C. Common notion is the statement that helps to understand the common sense about the subject.

D. Theorem is a statement that shows proof on the basis of previously making statements.

E. Corollary is a statement that act as a small proof that has already been proven.

Hence, the correct matches are:

A. - 3.

B. - 1.

C. - 5.

D. - 4.

E. - 2.

Answer:

Step-by-step explanation:

So if y=308x then we have to use the substitution method.

y=308x

y=122x+2338

so y=308x=122x+2338

308x-122x=186x

186x=2338

do the division and thats your answer. which is what y equals

Answer:

1/3=0.33333333333...

Nearest thousandths would be:

Answer

0.333

Step-by-step explanation:

you would divide 1 by 3