Albert's house, Billy's house and the candy store form a triangle as shown below. If Albert's house is 3 miles from the candy store, what is the range of values for the distance between Albert's house and Billy's house?

Answer:

ΔABC≅ΔDEC by AAS

Step-by-step explanation:

You can use the AAS method of congruency.

Since you already have <BAC and <EDC congruent to eachother, and sides BC and EC congruent to each other, you only need that one remaining angle in between. <ACB can be proven congruent to <DCE by the Vertical Angles Theorem, and that gives you the AAS you need to prove that these two triangles are congruent

Hope this helped.

Answer:

90°

Step-by-step explanation:

There is no work. We know the right angle in the triangle and  the x are supplementary. Meaning, they add up to 180 degrees.  Therefore, 180-90 = 90. Think of it as a full triangle. If the 40 at the top was not half, but a full triangle, the 40 at the top would become 80. The 50 in the bottom left would mean there would be a 50 in the bottom right when you mirror the triangle. Therefore, you also need x to be 90 to make it a right triangle.

Answer:

x = 88

Step-by-step explanation:

The opposite angles of a cyclic quadrilateral are supplementary, then

x = 180 - 92 = 88

Answer:

7

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

I think it's 4/10 which is 0.4

Step-by-step explanation:

Answer:

I think the answer is 0.4 or 4/10 as well as the other guy

Step-by-step explanation:

Answer:

Given function:

We can rewrite it as:

Zeros are:

As leading coefficient is negative the function is decreasing.

As the function is of degree 3, it is odd.

Considering the above two factors we can define the shape of the graph:

See the graph and zero's reflected.

Analyze the function:

[tex]f(x) = \\ ( - x + 2)(x + 1)(x + 2)[/tex]

Write properties of function:

Solution:

x-intercept/zero

[tex] {x}^{1} = - 2 \\ {x}^{2} = - 1 \\ {x}^{3} = 2[/tex]

y-intercept:

[tex]y = 4[/tex]

domain:

[tex]( - \infty \: . \: + \infty )[/tex]

type of function:

[tex]cubic \: function[/tex]

standard form:

[tex]f(x) = - {x}^{3} - {x}^{2} + 4x + 4[/tex]

factorized form:

[tex]f(x) = - ( - (x + 1)( x + 2) ( - 2x + 2))[/tex]

even/odd:

[tex]neither[/tex]

bounce/cross x-axis:

[tex]x = - 2 \: . \: cross \: . \: x = - 1 \: . \: cross \: . \: x = 2 \: . \: cross[/tex]

increasing interval:

[tex]{ - \frac{1}{3} - \frac{ \sqrt{13} }{3} - \frac{1}{3} + \frac{ \sqrt{13} }{3} }[/tex]

decreasing interval:

[tex]( - \infty - \frac{1}{3} - \frac{ \sqrt{13} }{3} )( - \frac{1}{3} + \frac{ \sqrt{13} }{3} \infty )[/tex]

number of possibles real zero:

[tex]3[/tex]

number of possible turning points:

[tex]2[/tex]

order/degree:

[tex]3[/tex]

leading term:

[tex] - {x}^{3} [/tex]

leading coefficient:

[tex] - 1[/tex]

constant terms:

[tex] - 1[/tex]

end behavior:

[tex]as \: x + \infty \: f(x) - \infty \\ as \: x - \infty f(x) \infty [/tex]

Answer:

if I had to guess I whould say i

Answer:

-2

Step-by-step explanation:

Answer:

25

ggggggggggggggggggg

Answer: 25

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

18 inches is 1 1/2 ft

so 1/2 since it is half a yard

The equations representing the lines that are perpendicular to line m are:

B. y = -2/3x +4

E. y+1=-4/6(x+5)

Lines that are perpendicular to each other have slopes that are negative reciprocal of each other.

For example, if a line has a slope of 2, the slope of a line that is perpendicular to it would be, -1/2 (negative reciprocal of 2).

Determine the slope of the given line whose equation is, y + 2 = 3/2(x + 4). Rewrite the equation in slope-intercept form [y = mx + b]:

y + 2 = 3/2x + 6

y = 3/2x + 6 - 2

y = 3/2x + 4

The slope is therefore 3/2.

Negative reciprocal of 3/2 is -2/3.

Examine each of the equations given and see which equation has a slope of -2/3.

A. y = -3/2x +4, the slope is -3/2.

B.  y = -2/3x + 4, the slope is -2/3. (perpendicular)

C.  y = 2/3x +4, the slope is 2/3.

D. y = 3/2x +4, the slope is 3/2.

E. y+1=-4/6(x+5), rewrite in slope-intercept form

y+1=-4/6x + 20/6

y + 1 = -2/3x + 10/3

The slope is -2/3. (perpendicular)

F. y+ 1 = 3/2(x + 5), the slope is 3/2.

Therefore, the equations representing the lines that are perpendicular to line m are:

B. y = -2/3x +4

E. y+1=-4/6(x+5)

Learn more about equations of perpendicular lines on:

https://brainly.com/question/7098341

Answer:

0.0057

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

[tex]1)\ 40 - 17 = 23\ (number\ of\ females)[/tex]

[tex]2)\ 23 - 15 = 8\ (number\ of\ non-black\ female\ rabbits)[/tex]

[tex]3)\ P = \frac{8}{40} * 100 = \frac{1}{5} * 100 = 20[/tex]

Answer: [tex]-\dfrac{2\sqrt{14}}{9}[/tex]

Step-by-step explanation:

Given

[tex]\cos a=\dfrac{5}{9}[/tex]

[tex]a[/tex] lies in the fourth quadrant

So, sine must be negative in the fourth quadrant

Using identity [tex]\sin ^2 x+\cos^2 x=1[/tex] to find sine value

[tex]\Rightarrow \sin^2 a=1-\dfrac{5^2}{9^2}[/tex]

[tex]\\\\\Rightarrow \sin^2 a=1-\dfrac{25}{81}\\\\\\\Rightarrow \sin^2 a=\dfrac{56}{81}\\\\\\\Rightarrow \sin a=-\sqrt{\dfrac{56}{81}}\\\\\\\Rightarrow \sin a=-\dfrac{2\sqrt{14}}{9}[/tex]

Answer:

Tn = 3n + 1

Step-by-step explanation:

The given sequence 2,5,8,11,14 is an arithmetic sequence

The nth term of an arithmetic sequence is expressed as;

Tn = a + (n-1)d

a is the first term

d is the common difference

n is the number of terms

Given

a = 2

d = 5-2 = 8-5 = 3

Substitute into the formula

Tn = 2 + (n-1) * 3

Tn = 2 + 3n - 3

Tn = 3n + 1

This gives the term rule for the sequence  

Answer:

-54+28x

Step-by-step explanation:

-6(7-6x)+2(-6-4x)

-42+36x+2(-6-4x)

-42+36x-12-8x

-54+36x-8x

-54+28x

If this helps please mark as brainliest

Answer:

What you are looking at is a scalene triangle!

Step-by-step explanation:

By definition scalene triangles are triangles where each side is a different length... hope this one helps you!

Answer:

C

Step-by-step explanation:

Because all its corners are below 90 degrees

Answer:

71.08 is the closest

Step-by-step explanation:

71.8 is .7 away

71.08 is .02 away

71.82 is .72 away

72 is .9 away

Brainliest?

Answer:

c=2

Step-by-step explanation:

8-4=4

4÷2=2

c=2

brainliest plz?

Answer:

A.

Step-by-step explanation:

(x-5)^2 +(y+ 2)^2= 9 radius

Rest of the questions...

1. A. (x-5)^2 +(y+ 2)^2= 9 radius

2. C. (x-3)^2+(y+5)^2= 64

3. A. Center =(-8,-9) radius 3

4. The equation of a circle is (x-7)^2 + y^2=225

5. A circle with center (-2,6) passes through the point (-2,10).

6. A circle with center (1,2) passes through the point (0,6).

7. Write the equation of the circle shown here.

8. C. (x-4)^2 + (y-3)^2

9. C. x^2+Y^2 = 15,81,600

10. Part B which of the following is the length of a 1 degree arc on the equator, to the nearest mile.

Answer:

0.52 (rounded)

Step-by-step explanation:

working out in image

Answer: 63

Step-by-step explanation:

14.5x1.5=21.75

15x2.75=41.25

21.75+41.25=63

Answer:

The price of T-shirts before the sale = 42 euros

The price of scarves before the sale = -77/2 euros

Step-by-step explanation:

The cost of the items Zina buys from the store initially are;

Two scarves and three T-shirts for 49 euros

The reduction in the price of scarves a week later during sales = 1.5 euros

The reduction in the price of T-shirts a week later during sales = 2 euros

The items Zina bought for 40 euros at the reduced price of the sales opportunity are;

Four scarves and five T-shirts for 40 euros

Let 'x' represent the initial price of a scarf and let 'y' represent the initial price of a T-shirt, we  have;

2·x + 3·y = 49...(1)

4·(x - 1.5) + 5·(y - 2) = 40...(2)

Expanding equation (2) gives;

4·x - 6 + 5·y - 10 = 40

4·x + 5·y = 40 + 6 + 10 = 56

∴ 4·x + 5·y = 56...(3)

By multiplying equation (1) by 2 and subtracting the result from equation (3), we get;

4·x + 5·y - 2 × (2·x + 3·y) = 56 - 2 × 49 = -63

-y = -42

y = 42

The price of T-shirts before the sale = 42 euros

x = (49 - 3 × 42)/2 = -77/2

x = -77/2

The price of scarves before the sale = -77/2 euros

(However, if the had bought the 4 scarves and 5 T-shirts during sales at 70 euros, we get;

The price of T-shirts before the sale = 12 euros

The price of scarves before the sale = 6.5 euros.

The allowable total price for the reduced 4 scarves and 5 T-shirts is between 66 and about 82 for both initial prices to be +ve)

Answer:

2/7

Step-by-step explanation:

Answer:

5/12

Step-by-step explanation:

All the beans are equally likely to be chosen, so the bottom (denominator) of the fraction is 12 (there are 12 beans in the box).

The numerator is 5 because that's the number of red beans in the box.

Answer:

3,266.53

Step-by-step explanation:

i looked it up :)

Answer:

AC = 11.4

Step-by-step explanation:

6/sin 23 = AC/sin 132

6 sin 132/sin 23 = AC

AC = 11.4

Answer:

f(5)=11

Step-by-step explanation:

f(x)=4x-9

f(5)=4(5)-9

f(5)=20-9

f(5)=11

Answer:

f(5) = 11

Step-by-step explanation:

F(x) = 4x - 9 for f(5)

x gets replaced with 5

f(5) = 4(5) - 9

f(5) = 20 - 9

f(5) = 11