Find the measure of angle BCD

Step-by-step explanation:

⇒12)It is an arithmetic sequence.

   d=2-1=3-2=4-3=1

    a(n) = a +(n-1)d

    a(n) = 1+(n-1)1

The next three terms:

a(6) = 1+(6-1)1=6

a(7) = 1+(7-1)1=7

a(8) = 1+(8-1)1=8

⇒13)It is an arithmetic sequence.

   d=0-3=-3-0=-6+3=-3

    a(n) = a +(n-1)d

    a(n) = 3+(n-1)-3

The next three terms:

a(5) = 3+(5-1)-3=-9

a(6) = 3+(6-1)-3=-12

a(7) = 3+(7-1)-3=-15

⇒14)It is not an arithmetic sequence.

⇒15) a(50) = 10 +(50-1)5

                  =255

I hope this helps

Answer:

18°

Step-by-step explanation:

let the angle be x , then its complement is 90 - x

we are told the angle is [tex]\frac{1}{4}[/tex] of its complement , then

x = [tex]\frac{1}{4}[/tex] (90 - x) ← multiply both sides by 4 to clear the fraction

4x = 90 - x ( add x to both sides )

5x = 90 ( divide both sides by 5 )

x = 18

then the angle is 18° and its complement is 90° - 18° = 72°

Answer:

The angles measure 18° and 72°.

Step-by-step explanation:

81 and 9 is not correct for this problem.

9 is not 1/4 of 81, so 9 and 81 cannot be the answer, although it is true that angles measuring 9° and 81° are complementary since 9 + 81 = 90.

You need to know what complementary angles are.

Definition:

Two angles are complementary if the sum of their measures is 90°.

Each angle is said to be the complement of the other angle.

You have two complementary angles, both of whose measures are unknown.

Call the smaller measure x and the larger measure y.

Since the angles are complementary, the sum of their measures is 90°.

x + y = 90

The measure of one angle is 1/4 the measure of the other angle.

If the smaller angle's measure is 1/4 of the larger angle's measure, then the larger angle's measure is 4 times the smaller angle's measure.

That means that y = 4x.

You have two equations and two unknowns:

x + y = 90

y = 4x

This is a system of equations. We will solve it using the substitution method.

Since y = 4x, where you see y in the first equation, substitute it with 4x

x + y = 90

x + 4x = 90

5x = 90

Divide both sides by 5.

x = 18   <---- smaller angle

y = 4x = 4(18) = 72   <----- larger angle

Answer: The angles measure 18° and 72°.

Check: Do the measures 18 and 72 add to 90?

18 + 72 = 90    Yes.

Is the measure of the smaller angle 1/4 the measure of the larger angle?

18/72 = 9/36 = 1/4    Yes.

18 and 72 is the correct answer.

Answer:

231.65

Step-by-step explanation:

☺️☺️☺️☺️☺️☺️☺️☺️

Answer:

231. 65 is the answer

hope this answer will help you

have a great time

Answer:

Step-by-step explanation:

1 cupcake=1.5 dollars

5 cupcakes=5×1.5

=7.5

1.5 dollars=1 cupcake

15 dollars=15/1.5

=10 cupcakes

Answer:

i think it is 69 thank you

Answer:

factor of 36

Step-by-step explanation:

Given the factor 6, then the area factor is

6² = 36

Answer:

x=-2

Step-by-step explanation:

just plug in random numbers until you get your answer, it works for me

Answer:

No, because each sample of 100 does not have the same chance of being selected.

Step-by-step explanation:

Simple random samples require that every possible sample of the population has an equal chance of being selected. Because of the fact that certain ages are being picked at certain amounts, not every possible sample has the same chance of being selected, so this is not an SRS.

Answer:

D.

Step-by-step explanation:

No, because each sample of 100 does not have the same chance of being selected.

Answer:

2/1

Step-by-step explanation:

Formula for slope is (y2 - y1)/ (x2 - x1)

In this case, it is (8 - 4)/ (5 - 3)

Which is evaluated to be 4/2

And simplified to 2/1.

Answer:

20,000

Step-by-step explanation:

It is right on plato/edmentum

You just take 75,000-50,000=25,000 and then since it is dividend paid you will subtract the 5,000 from 25,000 and then you will get 20,000.

So 20,000 is your answer. :)

Answer:

£1.44

Step-by-step explanation:

We need to find the number of days it was due first.

26 Nov to 12 Dec: 16 days

1 day --- 9p

16 days --- 16 × 9p = 144p

                              = £1.44

Answer:

y=65x+250

Step-by-step explanation:

Let y = 0

0 = 2x^2 + 7x + 3

Using the quadratic formula, we get x = -3 and x = -1/2.

Answer:

Answer and Work is in photo

Step-by-step explanation:

Answer:

choice A 2

Step-by-step explanation:

4(23)+2(22)−(18)(2)+38

2−3

=−42

good luck!

Answer:

12x³ +22x²+2x-8

Step-by-step explanation:

12x³ +22x²+2x-8

Answer:

$2.50

Step-by-step explanation:

1+2=3

1+5=6

2+5

Step-by-step explanation:

[tex] = 2 \frac{3}{7} - 5 \frac{6}{7} \\ [/tex]

[tex] = \frac{2 \times 7 + 3}{7} - \frac{5 \times 7 + 6}{7} \\ [/tex]

[tex] = \frac{17}{7} - \frac{41}{7} \\ [/tex]

[tex] = \frac{17 - 41}{7} \\ [/tex]

[tex] = \frac{ - 24}{ \: 7} \\ [/tex]

☘☘☘...

Answer:

$4 per apple.

Step-by-step explanation:

This is pretty simple, you can divide 28 divided by 7 or you can go through your 4 times table and figure out that 4 times 7 equals 28.

Answer:

There are 12 students per 1 teacher.

Step-by-step explanation:

To find the unit rate you divide 72/6

Answer:

Step-by-step explanation:

Equation of line k is   y = (-4/7)x + 1

point (-5,-10); m = -4/7

Line L is perpendicular to k so the perpendicular slope will be 7/4

Equation of line L is  (y - y1) = m(x-x1)

y+10 = (7/4) (x +5)

4y + 40 = 7x + 35

4y = 7x - 5

y = (7/4)x - (5/4)

Answer:10

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

-1/2

lolollolololololololololololo

Answer:

the freak

Step-by-step explanation:

Answer:

mean-76.3285

median-79

mode-95

Step-by-step explanation:

mean-

Answer:

They are similar by SSS similarity. TUV ~ QRS

Step-by-step explanation:

yes

Answer:

ΔTUV ~ ΔQRS

Step-by-step explanation:

The sides on the smaller triangle are 15, 25, and 30.

The sides of the larger triangle are 42, 70, and 84.

15*X = 42

X = 2.8

25 * 2.8 = 70

30 * 2.8 = 84

Since all sides of the larger triangle are 2.8 times the sides of the smaller triangle, the two triangles are similar.

Answer:

it is +.025

Step-by-step explanation:

Equations are steeper when their slope's positive value is higher (ignore negatives when determining how steep a slope is). The slope is the value in front of x. If there isn't a value in front of x, then it is assumed to be 1.