Which is a pair of independent events?

Two angles whose sum is 180° are called supplementary angles. The measure of ∠UPS is 151°.

Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two angles are two pairs of supplementary angles. That means, that if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.

Since ∠4 and ∠5 form a line, therefore, the two lines are supplementary to each other. Thus, the sum of the two angles can be written as,

∠4 + ∠5 = 180°

(3x + 7) + (9x - 43) = 180

3x + 7 + 9x - 43 = 180

3x + 9x + 7 - 43 = 180

12x - 36 = 180

12x = 180 + 36

12x = 216

x = 216 / 12

x = 18

Now, the measure of ∠UPT can be written as,

∠UPT = ∠4

∠UPT = 3x + 7

         = 3(18) + 7

         = 54+7

         = 61°

Further, since the ∠UPS is formed of ∠UPT and ∠TPS, therefore, we can write,

∠UPS = ∠UPT + ∠TPS

         = 61° + 90°

         = 151°

Hence, the measure of ∠UPS is 151°.

Learn more about supplementary angles here:

https://brainly.com/question/2882938

#SPJ6

Answer:

10/9

Step-by-step explanation:

So first you have to convert 5 to a fraction. 5/1 is equal to 5 so that means that 5/1 can work. 5/1x2/9=10/9 because all you have to do is multiply the numerator with the numerator and the denominator with the denominator.

Hope this helps

Answer:

10/9 (1  1/9

Step-by-step explanation:

That’s the fraction way, so all you simply do is multiply 5 by the numerator (2) then you would put it over the 9, which would make it 10/9. Also if you would like to simplify it but still it be a fraction, it would be 1  1/9.

I hope this helps!

(pwease give brainliest)

Answer:

The correct answer is:

Part A: 6 Seconds

Part B: 3 Seconds

Step-by-step explanation:

The given equation is:

⇒  [tex]h(t) =-16t^2+96t[/tex]

Part A:

When h(t) = 0,

⇒ [tex]-16t^2+96t=0[/tex]

On taking "t" as common, we get

⇒ [tex]t(-16t+96)=0[/tex]

⇒ [tex]-16t+96=0[/tex]

On adding "16t" both sides, we get

⇒ [tex]-16t+96+16t=0+16t[/tex]

⇒                      [tex]96=16t[/tex]

⇒                        [tex]t=\frac{96}{16}[/tex]

⇒                        [tex]t=6 \ Seconds[/tex]

Part B:

When [tex]\frac{dh(t)}{dt} =0[/tex]

⇒ [tex]\frac{d}{dt}(-16t^2+96t)=0[/tex]

⇒          [tex]-32t+96=0[/tex]

On adding "32t" both sides, we get

⇒ [tex]-32t+96+32t=0+32t[/tex]        

⇒                      [tex]96=32t[/tex]

⇒                        [tex]t=\frac{96}{32}[/tex]

⇒                        [tex]t=3 \ Seconds[/tex]

Step-by-step explanation:

it has 4 sides, all of whick are equal. Answer is 4*4, 16.

Answer:

[tex]6[/tex]

12....................may be

Answer:

Step-by-step explanation:

312,8/(34/100)

=920,00000

This is the answer

100% = 920

Can i be brainliest have a nice day

The value of x rounded to the nearest whole number is 920.

A percentage is a way to describe a part of a whole such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that the number 312.8 is 34% of x.

Thus, we can write,

34% of x = 312.8

(34/100) × x = 312.8

Now, Multiply both the sides of the equation by 100,

(34/100) × x × 100 = 312.8 × 100

Now, Divide both the sides of the equation by 34,

[(34/100) × x × 100] ÷ 34 = (312.8 × 100) ÷ 38

x = (312.8 × 100)/34

x = 920

Therefore, the value of x rounded to the nearest whole number is 920.

Learn more about Percentages here:

brainly.com/question/6972121

#SPJ2

Answer:

i think d

Step-by-step explanation:

Answer:

its d

Step-by-step explanation:

.....................

Answer:

wut can u explain it like more plz

Step-by-step explanation:

Answer:

B. 31r − 71 is the answer!

Answer:

Step-by-step explanation:

Um

Answer:

(3,2)

Step-by-step explanation:

Hope it helps you......

Eu faço a mínima ideia fico

Answer:

la respuesta es la letra B amigo mio

Answer:

çoook yardım etmek isterdim ama biz kesirlerde bu konuyu daha işlemedik çok özür dilerim

15% or 6%

Step-by-step explanation:

it's 15%. its the answer

Answer:

-2

Step-by-step explanation:

Each term is multiplied by -2 to get the next term

Answer:

Step-by-step explanation:

All even members of the sequence are -

All odd  members of the sequence are +

Ignore that for the moment and let's just find the ratio.

t_n/t_n-1 = - 2

t_2/t_n-1 = -18/9 = - 2

t_3/t_2 = 36/-18 = - 3

Answer:

.

Step-by-step explanation:

Answer:

5.30

Step-by-step explanation:

11.58 + 3.14 = 14.72

20 - 14.72 = 5.28

nearest dime is 5.30

Answer:26.6 repetetive

Step-by-step explanation:

Answer:

1/75 tons

Step-by-step explanation:

1/15 tons of rock divided to 5 people

9514 1404 393

Answer:

  17 square units

Step-by-step explanation:

There are several ways you can divide this figure into areas that are easily computed.

One that comes to mind is to consider the triangle that would include the missing area at lower right. That triangle would have a base of 6 and a height of 8, so an area of ...

  A = (1/2)bh

  A = (1/2)(6)(8) = 24 . . . . square units

The part at lower right that is cut out is a sort of reversed L-shape that is 3 squares along the bottom and 4 more up the side, for a total of 7 squares.

Then the area of the shaded part is ...

  A = 24 - 7 = 17 . . . . square units

Answer:

12.5 mils per hour

Step-by-step explanation:

can I get brainliest

First for the average divide 75 /6 and the answer is ur average

Answer:

ole la lechuaza acabe chu acabe chu acevhu acehcyla abaten y cierran la puerta

Answer:

if it is correct put me a crown please please please if u like my answer hhahahahh ehhehegegg hohohohooh thanks for points

Step-by-step explanation:

4 x 1 = 4

Answer:

2/3 ..................

Step-by-step explanation:

starting salary = $35,000

raise in 1 year = $2500

raise in 7 year = $17,500

salary on 7th year = $35,000 + $17,500

= $52,500

Answer: x= -2/3y+5/3

Step-by-step explanation:

Let's solve for x.

3x+2y−5=0

Step 1: Add -2y to both sides.

3x+2y−5+−2y=0+−2y

3x−5=−2y

Step 2: Add 5 to both sides.

3x−5+5=−2y+5

3x=−2y+5

Step 3: Divide both sides by 3.

3x/3=-2y+5/3

x= -2/3y+5/3

Answer:

continuous

Step-by-step explanation:

Since the function d=45t can have numbers in between and time is constantly happening, he does not hop, or skip at 1 second, then 5 seconds...he is continuously traveling, so time = 1 sec, 1.1 sec., 1.1000001, 1.000002, etc. time does not stop therefore if you graphed this, you would connect the dots, therefore, it is continuous

Answer:

-4

Step-by-step explanation:

If a = -4 then you can eliminate hte -4x and 4x by adding them, you get 0x, so you eliminate the x variable

Answer:

[tex]Fraction = \frac{1}{18}[/tex]

Step-by-step explanation:

Given

[tex]Pizza = \frac{1}{3}[/tex]

[tex]Girls = 6[/tex]

Required [Missing Information]

Determine the fraction each girl gets

To do this, we simply divide the pizza by the number of girls i.e.

[tex]Fraction = \frac{Pizza}{Girls}[/tex]

[tex]Fraction = \frac{1}{3} / 6[/tex]

Change / to *

[tex]Fraction = \frac{1}{3} *\frac{1}{6}[/tex]

[tex]Fraction = \frac{1}{18}[/tex]

Hence, each girl gets 1/18