Proving Triangles Congruent.

Answer:

-7/40

Step-by-step explanation:

5/8 - 4/5

~Find common denominators

25/40 - 32/40

~Subtract

-7/40

Best of Luck!

Answer:

-90=[tex]x[/tex]([tex]x[/tex]-18)

-90=[tex]x^{2}[/tex]-18[tex]x[/tex]

[tex]0=x^{2}-18x+90[/tex]

[tex]x=9+3i or 9-3i[/tex]

Step-by-step explanation:

you need to use quadratic formula and you will find square root a negative ( -9 ), which is an imaginary no.

square root (-9) = 3i

Answer:

54 students.

Step-by-step explanation:

If you have 600 and 9% the nearest rounding point is %10. %10 of 600 is 60, and 1% of 60 is 6, so 60-6=54.

Given:

Rate of sales tax = 7%

Marked price of an item = $19.94

To find:

The final cost of the item once tax is included.

Solution:

We have,

Rate of sales tax = 7%

Marked price of an item = $19.94

[tex]\text{Sales tax}=\dfrac{7}{100}\times 19.94[/tex]

[tex]\text{Sales tax}=1.3958[/tex]

Now, final cost of the item once tax is included is

[tex]\text{Final cost}=\text{Marked price}+\text{Sales tax}[/tex]

[tex]\text{Final cost}=19.94+1.3958[/tex]

[tex]\text{Final cost}=21.3358[/tex]

Therefore, the final cost of the item once tax is included is $21.3358.

Step-by-step explanation:

xy = k, where k is a real constant.

When x = 2, y = 60.

=> (2)(60) = k, k = 120.

Hence when y = 24, x(24) = (120), x = 5.

Answer:

Option B is correct .

Step-by-step explanation:

According to Question , both the graph have same shape . If we look at the the first graph it cuts x - axis at (0 , 2) and ( 0 , -2) . Hence x = 2 and -2 are the zeroes of the equation .

And ,the given function is ,

[tex]\implies f(x) = 4 - x^2 \\\\\implies f(x) = 4-x^2=0 \\\\\implies 2^2-x^2=0\\\\\implies (2-x)(2+x) = 0 \\\\\boxed{\red{\bf \implies x = 2 , (-2) }}[/tex]

• Hence ,we can can see that x = 2 and (-2) are the zeroes of graph.

This implies that if we know the zeroes , we can frame the Equation.

On looking at second parabola , it's clear that cuts x - axis at ( 1, 0 ) and (-1,0). So , 1 and -1 are the zeroes of the quadratic equation . Let the function be g(x) . Here , a and ß are the zeroes.

[tex] \begin{lgathered}\implies g(x) = (x-\alpha)(x-\beta) \\\\\implies g(x) = (1+x)(1-x) \\\\\boxed{\pink{\bf \implies g(x) = 1 - x^2}}\end{lgathered} [/tex]

Hence option B is correct .

Answer:

Step-by-step explanation:

Given

We now that

Substitute tan y with x:

Replace x with tan y:

Answer is:

Answer:

See convergence analysis below

Step-by-step explanation:

For the expansion of 1/(1-t) in powers of t, we can recall that an infinite  Geometric series with first term "1" and common ratio "t", in the case that the absolute value of "t" is smaller than 1, can be represented by:

[tex]\Sigma\limits^\infty_0\, t^n=\frac{1}{1-t} \\[/tex]

The condition for such, is that the absolute value of "t" is smaller than "1", which gives us the radius of convergence for this series "1" and the interval of convergence:  - 1 < t < 1

Recall as well that using the geometric sequence  [tex]1 + t + t^2 + t^3 +...[/tex]

The ratio test becomes [tex]\frac{a_{n+1}}{a_n} = t[/tex]

which is the SAME as the common ratio for the geometric sequence, and which in order to converge to the value [tex]\frac{1}{1-t}[/tex]   requires that the absolute valu of the common ration be smaller than "1" rendering the same radius of convergence as discussed above.

Answer:

(x + 1 ≤ 1) ∩ (x + 1 ≥ 1) (the second option)

Step-by-step explanation:

there are no elements that are contained in all of the intervals thus making the second expression have no solution

Answer:

x=6

Step-by-step explanation:

-5(x - 2) = -20

first multiple 5 by x and -2

-5x 10 = -20

subtract 10 from 10 and -20

-5x=-30

then divide 5

x=6

Answer:

n^2 +24n +144

Step-by-step explanation:

(-12-n)^2

(-12-n)(-12-n)

144+12n+12n+n^2

n^2 +24n +144

i think... :)

Given:

Length of a cube is 2 cm

To Find:

Surface area of the cube

Solution:

A cube consists of 6 faces.

The area of each face = side x side

So, the total surface area of a cube = 6 x

side x side

Let a be the length of the given cube

: Surface area of a cube = 6a square

a = 2 cm (Given)

Surface area of cube = 6 x 22 =(6 x 4) = 24 cm square.

Hence, the surface area of the given

cube is 24cm square.

Hope it helps!

Answer:

27.5

Step-by-step explanation:

Answer: I got 27.5

Step-by-step explanation:

This is a fraction equal to

220 miles ÷ 8 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 8

220 miles ÷ 8

8 hours ÷ 8

=

27.5 miles

1 hour

=

27.5 miles

hour

= 27.5 miles per hour

Answer:

<1=55°

Step-by-step explanation:

180-125=55

Answer:

2 solutions

Step-by-step explanation:

Given the expression

2m/2m+3 - 2m/2m-3 = 1

Find the LCM of the expression at the left hand side:

2m(2m-3)-2m(2m+3)/(2m+3)(2m-3) = 1

open the bracket

4m²-6m-4m²-6m/(4m²-9) = 1

Cross multiply

4m²-6m-4m²-6m = 4m²  - 9

-12m = 4m²  - 9

4m²  - 9+12m = 0

4m² +12m-9 = 0

Since the resulting equation is a quadratic equation, it will have 2 solutions since the degree of the equation is 2

Answer:

3.2

Step-by-step explanation:

12.8/4 which makes the answer 3.2

Answer:

1600-400pi

Step-by-step explanation:

There are 2 semicircles making it a full circle. We are doing (40*40)-the area of the circle. We do 20*20 since that it is the radius and get 400. We then multiply it by pi. We get 400pi. Now we find the area of the square. This is 40*40 which gives us 1600. 1600-400pi is our answer

Answer:

7/8

Step-by-step explanation:

.25x3.5=.875

Answer: 7/8 I hope this helps

Step-by-step explanation:

3 1/2

1 3/4

7/8

Answer:

5(44 x 10^x)^

Step-by-step explanation:

Multiply 88 x 5 = 44

5(44 x 10^x)^

Answer:

Y:4     X:540

Step-by-step explanation:

Answer: first divide so you make it one and then you multiply hope that helps

Step-by-step explanation: then you can add them to get by one then multiply

303.02

Three hundred three=303

Two hundredths= .02

= 303.02

Answer:

The value of the correlation coefficient would not change.

Step-by-step explanation:

If the relationship between distance of trips and fares in dollars gives a correlation coefficient value of 0.950. This can be interpreted to mean that the relationship between both variables is strong and positive such that an increase in distance leads to corresponding increase in fares of the trip and vice versa. Thus, interchanging the axis upon which the variables are plotted would still tied the same correlation Coefficient value as the correlation coefficient does not depend on the axis upon which the variables are plotted.

Step-by-step explanation:

If its change it will not be right

Answer:

D

it is D D D D D D D D D D D D D D D D D D D

Answer:

15 X w(how many weeks) + 30 = 90 or 15 X 4 + 30 = 90

Step-by-step explanation:

so he needs $90 he has $30 and he gets 15 a week so we are going to say a week will be w so however many weeks (4) so you will need to multiply it by 15 and it will be 60 then you add 30 and you get 90.

Answer:

20

Step-by-step explanation:

20*3/3 = 20

The number of yards in 1 foot is 3 thus 20 packages can be wrapped.

To convert any unit into another is called a unit conversion.

In order to convert units, we need to care about their dimensions their dimension should not be changed.

As per the given,

Length of ribbon = 20 yards

Each package required = 3 feet

Since 1 yard = 3 feet so,

Each package required = 1 yard

The number of packages that can be wrapped = 20/1 = 20

Hence" The number of yards in 1 foot is 3 thus 20 packages can be wrapped".

To learn more about unit conversion,

brainly.com/question/11543684

#SPJ2

Answer:

the person above me is right it is A or  one

Step-by-step explanation: