Which angle pairs are supplementary? Check all that apply. ∠1 and ∠2 ∠4 and ∠3 ∠4 and ∠5 ∠7 and ∠5 ∠3 and ∠6.

Answer:

Also BC = 12

B......6......D......6......C

Now, AC = 2.

A can be either left of C or right of C

If A is left of C , AB = 12-2 = 10 (Correct)

If A is right of C AB = 12 +2 = 14 (Incorrect)

So the points placing is as below

B......6......D....4....A..2..C

Length of segment AD = 4

════════ ∘◦❁◦∘ ════════

════════════════════

a = 13

U2 = 6

U3 = -1

U4 = -8

════════════════════

d = ..?

════════════════════

#since it gives a lot of number, i will just pick one of the nth term, ill choose U2

Un = a + (n-1)d

U2 = 13 + (2-1)d

6 = 13 + d

6 - 13 = d

d = -7

════════════════════

• The formula of arithmetic sequence

n = nth term

a = first term

d = common difference

════════════════════

Answer:

m = 5 n = [tex]\frac{5\sqrt{3} }{2}[/tex]

Step-by-step explanation:

5/2x2=5

5/3xsqrt3=5sqrt3/2

Answer:

Four coordinate pairs that could serve as the other endpoint of the given line segment are given by: (9,-12), (-1,-12), (4,-7), (4,-17).

Step-by-step explanation:

One endpoint of (4,-12), length of 5 units.

Four possible pairs:

Add 5 to x, keep y: (4+5,-12) = (9,-12).

Subtract 5 from x, keep y: (4-5,-12) = (-1,-12).

Keep x, add 5 to y: (4,-12+5) = (4,-7)

Keep x, subtract 5 from y: (4,-12-5) = (4,-17)

Four coordinate pairs that could serve as the other endpoint of the given line segment are given by: (9,-12), (-1,-12), (4,-7), (4,-17).

All the solutions of the expressions are,

1) 3yi

2) 3c

3) - 10x

4) - 5y

5) - 2a

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, We can solve as;

1) - √- 9y² , if y < 0

⇒ - √ - 9y²

⇒ - √- 1 × 3 × 3 × - y × - y

⇒ 3yi

2) 3√c², if c ≥ 0

⇒ 3 √c²

⇒ 3√c × c

⇒ 3c

3) - 5√4x², if x ≥ 0

⇒ - 5 √4x²

⇒ - 5 √(2x)²

⇒ - 5 × 2x

⇒ - 10x

4) - 5√y², if y > 0

⇒ - 5 √y²

⇒ - 5y

5) 0.5 √16a², if a < 0

⇒ 0.5 √(4a)²

⇒ 0.5 × -4a

⇒ - 2a

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Answer:

68

Step-by-step explanation:

all the explanation is in the photo

Answer:

39%

Step-by-step explanation:

It is given that 35 apartments have balconies in them.

While 55 apartments do not have balconies in them.

Total number of balconies is the sum of the apartments. i.e. 35 + 55

                                                                                             = 90 apartments

Therefore for the survey when an apartment is randomly selected, the percentage of the probability of the apartment to have a balcony can be found out by dividing 35 by 90 and then multiply by 100.

i.e.

[tex]$=\frac{35}{90}$[/tex]

= 0.38888888

Multiplying by 100, we get

= 0.388888 x 100

= 38.8888 %

= 39 %

a) find area

a = l • w

a = 17.8 • 10.6

a = 188.68 m²

//

b) find the area of the vegetable garden and then multiply by the cost

a = l • w

a = 49 • 15.2

a = 744.8 m²

total cost = 744.8 • 91

total cost = 67776.8

//

c) find perimeter

p = 2(l) + 2(w)

p = 2(18.7) + 2(12.6)

p = 62.6 m

//

d) find area then divide by 1.25

a = l • w

a = 20 • 15.7

a = 314 m²

314/1.25 = 251.2

251.2 banana trees

//

Just double check to make sure my calculations are correct.

Answer:

Total number of group formed = 7

Step-by-step explanation:

As given,

1 group has 8 people

Total people = 53

Let

Total number of group made = x

As 1 group = 8 tourist

⇒x group = 8x tourist

As Total tourist = 53

⇒8x = 53

⇒x = [tex]\frac{53}{8}[/tex] = 6.6

This means,

There are 6 full group of 8 people in each group = 48 tourist

and 1 group of 53-48 = 5 people.

So,

Total number of group formed = 7

In the diagram , Δ represent each person.

The figure  is as follows :

Answer:

C

Step-by-step explanation:

It’s convenient that there are only two x values you need to check, -2 and 2. Just insert it to see what y is appropriate.

x = -2: y > 6 + 3 = 9 (and y > -2 + 2 = 0 which is redundant here)

x = 2: y > 2 + 2 = 4 (and y > -6 + 3 = -3 which is redundant here)

So, neither B nor D is in the solution set with 5 < 9 and -5 < 9.

A isn’t in the solution set either with -5 < 4.

C is in the solution set with 5 > 4.

Answer:

c

Step-by-step explanation:

Answer:

y=4x

Step-by-step explanation:

Answer:

$3.90

The cost of making them all is 1.50 subtracted from the profit he made

Answer:

d

Step-by-step explanation:

if x has to be greater than -15 and -20 = x than its not true because -20 isn't greater than -15

Answer:

yes its d because -15 is not greater than -20

Answer:

A and c

Step-by-step explanation:

If im correct A and C is the answer because A and C represent the vertical angles :)

Answer:

y = 4 ; x = 4√2

Step-by-step explanation:

This is a 45° 45° 90° triangle meaning the legs will equal each other and the hypotenuse will be equal to the length of the legs times √2.

Answer:

x=144

Step-by-step explanation:

x/12-5=7

x-60=84

x=84+60

x=144

Answer:

A) 8

Step-by-step explanation:

The remainder when f(x) = x⁴ + 0x³ - 5x² - 6x - 10 is divided by x - 3 is 18.

Factor theorem states that if x - a is a factor of f(x) then f(a) = 0.If f(a) ≠ 0 then x - a is not a factor of f(x).

To determine the remainder of f(x) = x⁴ + 0x³ - 5x² - 6x - 10 when divided by x - 3 which is x - 3 = 0 or x = 3 we have to replace the value of x in f(x).

∴ f(x) = x⁴ + 0x³ - 5x² - 6x - 10.

f(3) =  (3)⁴ + 0(3)³ - 5(3)² - 6(3) - 10.

f(3) = 81 + 0 - 45 - 18.

f(3) = 18.

So, the remainder is 18.

learn more about factor theorem here :

https://brainly.com/question/24545336

#SPJ6

Answer:

X = 2, 4, 6, 7, 9

Y = 29, 33, 37, 39, 43

Step-by-step explanation:

Given a best fit line of :

y = 2x + 25

Take points X as :

X = 2, 4, 6, 7, 9

X = 2

y = 2(2) + 25 = 4 + 25 = 29

X = 4

y = 2(4) + 25 = 8 + 25 = 33

X = 6

y = 2(6) + 25 = 12 + 25 = 37

X = 7

y = 2(7) + 25 = 14 + 25 = 39

X = 9

y = 2(9) + 25 = 18 + 25 = 43

Answer:

25% off

Step-by-step explanation:

First, find 90/120, which is 0.75. Now, since the phone is not 75% off, you just find 100-75, which gives you 25%.

Answer:

4

Step-by-step explanation:

perpendicular (p) = 4

hypotenuse (h) = 2√5

base (b) = ?

We know by using Pythagoras theorem

b = √(h² - p²)

= √ (2√5)² - 4²

= √ 16

= 4

Answer:

4(6+7)

Explanation:

24+28

(4×6)+(4×7)

4(6+7)

Answer:

y=-5x+0

Step-by-step explanation:

If it passes through the origin that means the Y-Intercept is 0

Answer:

-16/5

Step-by-step explanation:

Answer:

-16/5

Step-by-step explanation:

-32/10

reduce the fraction with 2

-16/5

Answer:

(7/4)(2)(2)=7

Step-by-step explanation:

Answer:

z = 1.75xy

Step-by-step explanation:

Given z varies jointly as x and y then the equation relating them is

z = kxy ← k is the constant of variation

To find k use the condition z = 7 when x = 2 and y = 2, then

7 = k × 2 × 2 = 4k ( divide both sides by 4 )

1.75 = k

z = 1.75xy ← equation of variation