Find the 66th term of the arithmetic sequence 25, 10, -5, ...

Answer:

D)  x ≥ -2

Step-by-step explanation:

Answer: Choice D. [tex]\angle A \cong \angle E[/tex]

Explanation: Since AB is parallel to ED, this means the alternate interior angles A and E are congruent as marked below.

Angle A is congruent to angle E by alternate interior angle theorem. Therefore, option D is the correct answer.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

Given that, triangle CAB is similar to triangle CED and AB is parallel to ED.

From the given figure, AB=7 miles, DC=16 ft, EC=12 ft and DE=21 ft.

Here, in figure,

∠A ≅ ∠E  (Alternate interior angles)

∠B ≅ ∠D  (Alternate interior angles)

∠ACB ≅ ∠DCE  (Vertically opposite angles are congruent)

Therefore, option D is the correct answer.

To learn more about the similar triangles visit:

https://brainly.com/question/25882965.

#SPJ7

Answer:

56

Step-by-step explanation:

Answer:

56 hours

Step-by-step explanation:

I divided 384 dollars by 3w hours and then was Sue made 12 an hour. Then I tried mukyiplong different times until I discovered 12×56=672. So, 56 hours

Answer:a small sample size

Step-by-step explanation:

From the information given in the question, we are informed that Sandra developed a program that was designed to increase reading comprehension scores in 6th graders and she then randomly selects three students and has them participate in her program.

After comparing the mean score from the students who completed her program to three students who did not participate in the program, she finds no significant difference between their mean scores, it should be noted that the reason for this will be because the sample size is small.

If a large sample size was used, this could have been different as thsi could result in a significant difference between their mean scores.

7/5 thats the answer lol

Answer:

1/25

Step-by-step explanation:

1 m = 100 cm

4m x 100 = 400 cm

If it is 16 cm long, then the scale factor is 16/400, which simplifies to 1/25.

Answer:

V = 7234.56 km^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

V = 4/3 (3.14) (12)^3

V = 7234.56 km^3

Answer:

7234, 56 km³

Step-by-step explanation:

π×R³×4/3=3.14×1728×4/3=7234, 56 km³

Step-by-step explanation:

first blank: 0 seconds

second blank: 9.8 seconds

third blank: 5 seconds

fourth blank: 120 meters

Answer:

Step-by-step explanation:

draw a parallel line to x at a distance of 23 cutting the quadrilateral in two points.

A right angle is formrd at the bottom.

Hypotenuse=59

one side=45-23=22

x= other side=√(59²-22²)=√(59-22)(59+22)=√((37)(81))=9√(37)≈54.74

Answer:

Step-by-step explanation:

B) data summary its in the words it sums up the answers to all the data you've collected over timew

Answer:

A. Yes

Step-by-step explanation:

it is always yes because no os negative

Answer

a

Step-by-step explanation:

it does represent a function

Step-by-step explanation:

Yes. A translations preserve it's. length, shape,size and orientation. WHY?

Answer:

Answer:

the polygon name is decagon

Step-by-step explanation:

sum exterior angles is 360

10 sides

360÷10=36

Answer:

decagon

Step-by-step explanation:

[tex] \frac{360 \degree }{size \: \: of \: \: \: \: the \: \: exterior \: \: angle} = number \: \: of \: \: sides \\ \\ \frac{360}{36} = 10 \: \: sides \\ [/tex]

Name of the polygon which has 10 sides is decagon

Answer:

147 is one such number and least number. This discussion on What is the least number which when divided by 8, 12 and 16 leaves 3 as the remainder in each case, butwhen divided by 7 leaves no remainder?

Answer:

17.708333% increase

Step-by-step explanation:

To find the percent increase take the new price and subtract the old price

5650-4800

850

Divide by the old price

850/4800

0.177083333

Change to percent form

17.708333% increase

Answer:

f(x) = -(x+2)(x-1)

Step-by-step explanation:

We know the zeros are at 1 and -2

f(x) = a *(x-b1)(x-b2)  where b1 and b2 are the zeros and a is a constant

f(x) =a(x-1)(x- -2)

f(x) =a(x-1)(x+2)

We know that a must be negative since the parabola opens down so

The only choice is choice D where a = -1

f(x) = -(x+2)(x-1)

Answer:

40600

Step-by-step explanation:

(4 * 10^4) + (6 * 10^2) =

= 4 * 10000 + 6 * 100

= 40000 + 600

= 40600

Answer:

4.06 x 10^4

Step-by-step explanation:

Answer:

The given polynomial is,

2x³+5x²-8x-10=0

all possible roots of a polynomial,

ax³+b²+c x +d=0 ← all possible factors of ration (d/a)

Therefore, eq (1), all possible factors are the factors of ratio (-10/2)

which are, B) { ± 1, 1/2, ± 2, ± 5/2, ±5, ± 10}

OAmalOHopeO

Answer:

8 : 27

Step-by-step explanation:

Given the ratio of sides of 2 similar objects = a : b , then

ratio of volumes = a³ : b³

Here ratio of sides = 56 : 84 = 2 : 3 , then

ratio of volumes = 2³ : 3³ = 8 : 27

Step-by-step explanation:

AC = 20

AB = 18

BC² = 20²+ 18² -2•20•18•cos(52°)

BC² = 280.72

BC = √280.72

BC ≈ 16.75

Angle C:

18² = 20² + 16.75² -2•20•16.75•cos(C)

324 = 400 + 280.72 -670•cos(C)

cos(C) = -356.72/-670

cos(C) ≈ 0.53

acos(0.53) = C

C = 57.8°

Angle B:

180-52-57.8 = 70.2°

Answer:

Step-by-step explanation:

Given,

[tex] \frac{7}{3} = \frac{x}{49} [/tex]

[tex] = > x = \frac{7}{3} \times 49[/tex]

[tex] = > x = \frac{343}{3} (ans)[/tex]

Answer:

343/3 or 114 1/3

Step-by-step explanation:

7/3 = x/49

Using cross products

3x = 7*49

3x =343

Divide by 3

3x/3 = 343/3

x =343/3

x =114 1/3

Answer:

3.465 %

Step-by-step explanation:

10000 = 5000 [tex]e^{20r}[/tex]

2= [tex]e^{20r}[/tex]

ln(2) = 20r ln(e)

r = ln(2)/20

r = 0.03465

Answer:

≈ 13.9

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = K(9, 2) and (x₂, y₂ ) = L(- 3, 9)

d = [tex]\sqrt{(-3-9)^2+(9-2)^2}[/tex]

   = [tex]\sqrt{(-12)^2+7^2}[/tex]

   = [tex]\sqrt{144+49}[/tex]

   = [tex]\sqrt{193}[/tex]

   ≈ 13.9 ( to the nearest tenth )

Answer:

x=5

Step-by-step explanation:

x is the length of the line segment from the center to the boderline of circle. So x=5

Answer:

-1

Step-by-step explanation:

im pretty sure its right

sry if it not good luck!!

Answer:

99

Step-by-step explanation:

4x³-2x²+3x​

4×3³-2×3²+3×3

4(27)-2(9)+9

108-18+9

99

99

=(4)(27)−2(32)+(3)(3)

=108−2(32)+(3)(3)

=108−(2)(9)+(3)(3)

=108−18+(3)(3)

=90+(3)(3)

=90+9

=99

Answer:

√122

Step-by-step explanation:

To find the distance/length between two points

Use this formula: [tex]\sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

[tex]\sqrt{(1 - 2)^2 + (3 + 8)^2}[/tex]

[tex]\sqrt{(-1)^2 + (11)^2}[/tex]

[tex]\sqrt{1 + 121}[/tex]

[tex]\sqrt{122}[/tex]