Which statement describes why AABC and ADEF are congruent by SAS?

(a) For some given x, A(x) gives the signed area under f(t) on the interval [a, x]. Since f(t) is simple to integrate, and with a = 2, you can compute it exactly:

A(x) = ∫₂ˣ f(t) dt

A(x) = ∫₂ˣ (3t + 2) dt

A(x) = (3/2 t ² + 2t ) |₂ˣ

A(x) = 3/2 x ² + 2x - 10

which is parabolic and easy to graph.

(b) Differentiating A(x) is also easy if you use the "closed" form above:

A'(x) = (3/2 x ² + 2x - 10)'

A'(x) = 3x + 2

and this function tells you how the area under f(t) changes as you adjust the size of the integration interval.

You can get the same result using the fundamental theorem of calculus:

A'(x) = d/dx ∫₂ˣ f(t) dt = f(x) = 3x + 2

Answer:

car is decelerating

Step-by-step explanation:

Answer:

The rate of change in the value of the watch is modeled by 0.93.

The rate of change represents a decrease in value.  

The rate represents a 7% change per year.

Step-by-step explanation:

The rate of change in the value of the watch is modeled by 0.93.

The rate of change represents a decrease in value.  

The rate represents a 7% change per year.

The following information should be considered:

learn more: https://brainly.com/question/834969?referrer=searchResults

Answer:

1

Step-by-step explanation:

1 divided by anything is that number. So with that information 1 divided by on would be 1.

Answer:

A = 2x^2 + 11x + 15

B = 3x^2 - x - 2

A-B = -x^2 +12x +17

Answer:

[tex]x = \frac{1}{5}y + 2[/tex]     or       [tex]x = \frac{y+10}{5}[/tex]     (Not sure which one is preferred in your case)

Step-by-step explanation:

Key skills needed: Evaluating expressions

1) We are given: [tex]y = 5x-10[/tex]

2) To solve for the x variable, we want to leave the term with "x" by itself.

This means we add 10 to both sides

--> [tex]y + 10 = 5x[/tex] (Since -10 and +10 cancel out to make 0 or nothing)

3) Then we divide by 5 on both sides to get "x" completely by itself.

-----> [tex]\frac{y+10}{5} = x[/tex]

4) You can keep it as is so --> [tex]x = \frac{y + 10}{5}[/tex]

or you can divide "y" by 5 and "10" by 5 and get --> [tex]x = \frac{1}{5} y + 2[/tex]

(I am not sure which form is preferred one is preferred as the teacher matters)

Hope you understood and have a nice day!!

Your monthly allowance and your friend's monthly allowance is $50 and $40 respectively.

From the given tape diagram, the ratio of your monthly allowance to your friend's monthly allowance is 5:4.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Here, 5+4=9

Now, your monthly allowance = 5/9 × 90

= 50

So, your friend's monthly allowance = 90-50 = 40

Therefore, your monthly allowance and your friend's monthly allowance is $50 and $40 respectively.

To learn more about the ratio visit:

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#SPJ2

Answer:

52/4 = 13

13 X 13 = 169 cm squared

Answer:

15

Step-by-step explanation:

The calculation is:

endamount - startamount divided by number of days.

(237-27) / 14 = 15

Answer:

237 - 27 = 210 (she already had 27 to start, so subtract that from the total)

210 ÷ 14 = 15 (divide by 14 because there are 14 days in two weeks)

so she bought 15 stickers each day

Answer:

The answer is B

Step-by-step explanation:

Answer is B

Answer:

The answer is B

Step-by-step explanation:

BBBBBBBBBBBBBBBBBBBBBBBBBB IS THE ANSWER

Answer:

3)  [tex]f^{-1}(x)=\frac{4x+3}{5}[/tex]

Answer: 11/24

Step-by-step explanation:

whenever u see this — (

it means the opposite of. so the opposite of -5/8 is +5/8.

-1/6 + 5/8 = 11/24

Answer:

h

Step-by-step explanation:

h

Answer:

Slope = 3

Step-by-step explanation:

For a proportional relationship, the slope of the line is simply y/x.

So using any given pair of values from the table, say (1, 3), the slope is:

y/x = 3/1

Slope = 3

Answer:

5

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

When you put the i out in place for x you multiply so

4x9=36

7x9=63

2x9=18

9x9=81

This equation has infinite solutions, any real number makes it true.

Answer:

0.07 ; 0.65 ; 0.00064339296875 ; 3.02 * 10^-12

Step-by-step explanation:

Given :

Number of monkeys, n1 = 10

Probability of fall, off ; p(m) = 35% = 0.35

Number of kangaroos, n2 = 5

Probability of fall, off : p(k) = 20% = 0.2

1.) A monkey and kangaroo falls off;

p(m) * p(k) = 0.35 * 0.2 = 0.07

2.) probability that monkey will not fall off;

1 - p(m) = 1 - 0.35 = 0.65

3.) probability that a monkey falls off every one of seven nights :

P(m) = 0.35 ; for 7 nights ;

0.35 *0.35 * 0.35 * 0.35 * 0.35 * 0.35 * 0.35 = 0.35^7 = 0.00064339296875

4.)

P(x ≥ 1) = p(1) + p(2) +... + p(10)

Using binomial probability calculator :

n = 7*10 = 70 ; p = 0.35

P(x ≥ 1) = 70C1 * 0.35^1 * 0.65^69 = 3.02 * 10^-12

Answer: y  ≥  − 2

Step-by-step explanation : hope it helps :)

Answer:

[tex]y = -\frac{1}{4}x + c[/tex] --- Slope intercept

[tex]y - y_1 = -\frac{1}{4}(x - x_1)[/tex] --- Point slope

Step-by-step explanation:

Given

Perpendicular to [tex]y = 4x[/tex]

Required

Determine its equation

The general form of an equation is:

[tex]y = mx + c[/tex]

Where

[tex]m = slope[/tex]

By comparison:

[tex]m = 4[/tex]

Next, we calculate the slope of L.

Because L is perpendicular to [tex]y = 4x[/tex], the relationship between their slopes is:

[tex]m_2 = -\frac{1}{m}[/tex]

Substitute 4 for m

[tex]m_2 = -\frac{1}{4}[/tex]

The equation of L in slope intercept form is: [tex]y = mx + c[/tex]

Substitute -1/4 for m

[tex]y = -\frac{1}{4}x + c[/tex]

In point slope form, we have:

[tex]y - y_1 = m(x - x_1)[/tex]

Substitute -1/4 for m

[tex]y - y_1 = -\frac{1}{4}(x - x_1)[/tex]

Answer:

y-4=-1/4(x-1)

y=-1/4x+17/4

Step-by-step explanation:

Answer:

the scale factor is 1/2 you are right and that is credible as the larger cd is 20 and smaller bc 10 which make out that it is half of the other Quad and the marking on the edge makes clear us that it is equal whatever the drawing is.

Step-by-step explanation:

BC=2CD

10x=20

x=10/20

x=1/2

if u want to find the other angle then it is 2 times of the smaller quad that will be:

AG=FE

15=2(15)=30

AB=ED

9=2(9)=18

GC=FC

13=2(13)=26

Answer:

D. The actual price is 12.5% higher than the expected price.

Step-by-step explanation:

hope i helped :)

Answer:d

Step-by-step explanation:

Answer:

3

+

3

−

6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since MO bisect angle LMN, the angles formed are congruent:

Substitute values and solve for x:

Find the value of ∠LMN:

Correct option is D

Here,

MO is bisect of the [tex]\angle{LMN}[/tex],

SO,

[tex]\angle{LMO}[/tex]=~[tex]\angle{NMO}[/tex]

According to the question,

[tex]\bold{ 13x-31=x+53 }[/tex]

[tex]\bold{ 13x-x=53+31 }[/tex]

[tex]\bold{12x=84 }[/tex]

[tex]\bold{x=\dfrac{84}{12} }[/tex]

[tex]\bold{x=7 }[/tex]

Now we find the value of [tex]\angle{LMN }[/tex]

so,

[tex]\angle{LMO}=2×\angle{NMO }[/tex]

[tex]\bold{ 2×(13×7-37) }[/tex]

[tex]\bold{2×(91-31) }[/tex]

[tex]\bold{2×60 }[/tex]

[tex]\bold{120° }[/tex]

Step-by-step explanation:

50x=41*100

50x=4100

x=4100/50

x=82%