instructions: state what additional information is required in order to know that the triangle in the image below are congruent for the reason given.

Given: AAS

Answer:

512

Step-by-step explanation:

8^3 = 512

.................

Answer:

512

Step-by-step explanation:

Given

[tex]m^{n}[/tex] ( substitute m = 8, n = 3 into the expression

= 8³

= 8 × 8 × 8

= 64 × 8 = 512

Answer:

I believe the last answer is correct

Step-by-step explanation:

Both runners are gaining money

Answer:

-√(1 - 2x) + C

Step-by-step explanation:

1/√(1-2x)

We want to integrate it. Thus;

∫1/√(1 - 2x) dx

Let u = 1 - 2x

Thus;

du/dx = -2

Thus, dx = -½du

Thus,we now have;

-½∫1/√(u) du

By application of power rule, we will now have;

-½∫1/√(u) du = -√(u) + C

Plugging in the value of u, we will have;

-√(1 - 2x) + C

Answer:

20

Step-by-step explanation:

Let the angle at the left corner is A, so the angle at the rIght corner should be (180-90-A) = (90-A).

In the left triangle:

tanA = 8√5/16 = √(5)/2

Thus,

cotA = 1/tanA = 2/√5

In the right triangle:

tan(90-A) = 8√5/x

cotA = 8√5/x [tan(90-x) = cotx]

2/√5 = 8√5/x

x = 20

[tex](f\circ g)(x)=f(g(x))=4(x^2-5)+1=4x^2-19[/tex]

[tex](f\circ g)(4)=4\cdot4^2-19=64-19=\boxed{45}[/tex]

Hope this helps.

Answer:

She's "Hot"!

Step-by-step explanation:

Answer:

Step-by-step explanation:

5×6= 30

150+30

= 180

Answer:

a

Step-by-step explanation:

x/150=6/5

x=6/5×150=6×30=180 inches.

Answer:

the horizontal are called x-axis, while the vertical are called y-axis

Answer:

y = x + 4

Step-by-step explanation:

y = mx + b

y = 1x + b

5 = 1 + b

b = 4

y = x + 4

Answer:

the answer is going to be 1/3

Answer:

34

Step-by-step explanation:

Answer:

im pretty sure its (D)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Commission for  amount  Rs. 5,00,00 = [tex]\frac{2}{100}*500000[/tex]

                                                               = 2* 5000

                                                               = Rs. 10,000

total commission = Rs. 32,000

Remaining commission = 32500 - 10000

                                      = Rs. 22500

Let remaining amount of the restaurant = Rs. x

Commission on Rs. x = 22500

3% of x = 22500

[tex]\frac{3}{100}*x=22500\\\\x=22500*\frac{100}{3}\\\\x = 7500*100[/tex]

x = Rs. 750000

Price of the restaurant = 750000 + 500000

                                     =Rs . 1250000

Answer:

the answer is true

Step-by-step explanation:

the ratio is less than 1

Answer:

the correct answer is C....I hope

Given:

The number of ribbons it can sell each week, x, is related to the price p per ribbon by the equation:

[tex]x=1000-100p[/tex]

To find:

The selling price if the company wants the weekly revenue to be $1,600.

Solution:

We know that the revenue is the product of quantity and price.

[tex]R=xp[/tex]

[tex]R=(1000-100p)p[/tex]

[tex]R=1000p-100p^2[/tex]

We need to find the value of p when the value of R is $1600.

[tex]1600=1000p-100p^2[/tex]

[tex]1600-1000p+100p^2=0[/tex]

[tex]100(16-10p+p^2)=0[/tex]

Divide both sides by 100.

[tex]p^2-10p+16=0[/tex]

Splitting the middle term, we get

[tex]p^2-8p-2p+16=0[/tex]

[tex]p(p-8)-2(p-8)=0[/tex]

[tex](p-8)(p-2)=0[/tex]

Using zero product property, we get

[tex]p-8=0[/tex] or [tex]p-2=0[/tex]

[tex]p=8[/tex] or [tex]p=2[/tex]

Therefore, the smaller value of p is $2 and the larger value of p is $8.

Answer:

69??

Step-by-step explanation:

.

Answer: It would still be 69.

Step-by-step explanation: When you add the both of the 69's together you would get 138 but when you subtract 69 you end up with 69 so therefore it's still 69.

Answer:

x= 4, 3

The choose (d)

Step-by-step explanation:

x²+12=7x

x²-7x+12=0

(x-3)(x-4)=0

x=3

or x=4

Answer:

D

Step-by-step explanation:

on edge

Answer:

A. 25%

Step-by-step explanation:

50% = 1/2

1/2 of 1/2 = 1/2 * 1/2=

1/4 = 25%

Answer:

100%-50%=50% so the answer is B

Answer:

[tex]\$6[/tex]

Step-by-step explanation:

Given

See comment for complete question

Required

The difference in the cost of 600 text messages plan

Representing the given data as; Cost to Number of text messages, we have:

[tex]Dial\ Up = \$5 : 100[/tex]

and

[tex]Ring\ Ring= \$8 : 200[/tex]

Multiply the dial-up by 6 to get the cost of 600

[tex]Dial\ Up = \$5 *6 : 100 * 6[/tex]

[tex]Dial\ Up = \$30 : 600[/tex]

So, the cost of 600 text messages is $30 --- for dial-up

Multiply the Ring Ring by 3 to get the cost of 600

[tex]Ring\ Ring= \$8 *3: 200*3[/tex]

[tex]Ring\ Ring= \$24: 600[/tex]

So, the cost of 600 text messages is $24 --- for Ring Ring

The difference (d) is:

[tex]d = \$30 - \$24[/tex]

[tex]d = \$6[/tex]

Answer:

[tex]2 + (t + 6) < 12[/tex]

[tex]2 + t + 6 < 12[/tex]

[tex]t + 8 < 12[/tex]

[tex]t < 12 - 8[/tex]

[tex]t < 8[/tex]

Answer:

40 units

Step-by-step explanation:

9x-5=7x+7

9x-7x=7+5

2x=12

x=6

6x+4

6(6)+4

36+4

40

Respuesta:

$ 9666. 67

Explicación paso a paso:

Costo de TV = $ 76,000

Número de cuotas = 3

Monto ya pagado = $ 47000

Amontof cada cuota fija = Cantidad que queda por pagar / 3

Cantidad que queda por pagar = Costo de TV - Cantidad ya pagada

Cantidad que queda por pagar = $ (76000 - 47000) = $ 29000

Monto de cada cuota fija = $ 29000/3 = $ 9666. 67

Answer:

Step-by-step explanation:

The total number of students,

→ 100 students

No. of students were absent & failed,

→ 7 + 10

→ 17 students

No. of students totally passed,

→ 100 - 17

→ 83 students

No. of students passed in Science,

→ 80 students

No. of students passed in Mathematics,

→ 71 students

Then add both science and math,

→ 80 + 71

→ 151 students

No. of students passed in both subjects,

→ 151 - 83

→ 68 students

Therefore, the number of students who passed in both subjects are 68 students.

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{Variables by itself with no number with it is understood as an invisible}\\\large\textsf{1}[/tex]

[tex]\huge\textsf{c + c - 7c}[/tex]

[tex]\huge\textsf{= 1c + 1c - 7c}[/tex]

[tex]\huge\text{COMBINE the LIKE TERMS}[/tex]

[tex]\large\textsf{= (1c + 1c - 7c)}[/tex]

[tex]\large\textsf{1c + 1c = \bf 2c}[/tex]

[tex]\large\textsf{= 2c - 7c}[/tex]

[tex]\large\textsf{= \bf -5c}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: \underline{Option C. \bf -5c}}}}\huge\checkmarl[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

Answer:

commutative property of addition.

a sequence of additions can be done in any order and the total remains the same.

Step-by-step explanation:

so, we can actually do

27 + 3 + 15 + 5

and now it is easy to combine 27+3 to 30 and 15+5 to 20, and to make the final calculation of 30 + 20 = 50 in our minds.

Step-by-step explanation:

rs 80000+rs 20000=100000

rs 125000-rs 100000=25000

rs 25000÷rs 125000=0.2

0.2 × 100= 20%

Answer: 20%

Answer:

20%

Step-by-step explanation:

Use arthmetic, comes out as 0.2 = 20%