Which value is the range of the data set?
A)
250
B)
470
09
500
D)
720
Hurry!!!!!

Answer:

m∠ABC = 110°

Step-by-step explanation:

By the property of exterior angle of a triangle,

"Exterior angle of a triangle is equal to the sum of two opposite interior angles"

m∠BAC + m∠ABC = 135°

25° + m∠ABC = 135°

m∠ABC = 135° - 25°

             = 110°

Therefore, measure of angle ABC is 110°.

Answer:

75 student tickets and 10 chaperone tickets

Step-by-step explanation:

First find out how many groups there are total by dividing 85 by 1 group total of 17 (15 students 2 chaperones).

85 / 17 = 5

Since you now know there are five groups of 15 students and 2 chaperones all you have to do is multiply 5 time 15 students and 5 times 2 chaperones.

15 x 5 = 75 for students

5 x 2 = 10 for chaperones  

Answer:

2/3

Step-by-step explanation:

Probability =

= No. of faces having less than 5 spots / Total no. of faces

= 4/6

=2/3

The probability of a face with less than 5 spots turning up when it tosses a die which has 6 total outcomes is 2/3 or 0.667.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

The probability of a face with less than 5 spots turning up when a die is tossed has to be find out.

Here, in this die, it is known that,

Thus, the probability of this event is,

[tex]P=\dfrac{4}{6}\\P=\dfrac{2}{3}\\P=0.667[/tex]

Thus, the probability of a face with less than 5 spots turning up when it tosses a die which has 6 total outcomes is 2/3 or 0.667.

Learn more about the probability here;

https://brainly.com/question/24756209

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Answer:

Step-by-step explanation:

Answer:

-3x + 3y - 2

Step-by-step explanation:

Collect like terms and add/subtract

Answer:

y = 2/3(x - 3)

Step-by-step explanation:

slope of the line is 2/3

we can use point (3,0)

formula: y - y = m(x - x)

y - 0 = 2/3 (x - 3)

y = 2/3(x - 3)

Well the distance from the two points is 15 so that means the midpoint in -10+7.5=-2.5. There you go! Have a nice day.

Answer:

Step-by-step explanation:

F

Answer:

1,436.8

Step-by-step explanation:

Answer: 240 m

Step-by-step explanation:

Given

Football field measures [tex]100\ m\times 72\ m[/tex]

Another similar field of length

[tex]L=30\ m[/tex]

and width, say W is marked

So, their area must be the same

[tex]\Rightarrow 100\times 72=30\times W\\\\\Rightarrow W=\dfrac{7200}{30}=2540\ m[/tex]

The width of the football field is 41.7m

The football measures 100m by 72 m. The school football field is similar.

For similar rectangles, the corresponding sides have common ratios. Therefore, let's establish the proportion as follows:

cross multiply

3000 = 72w

divide both sides by 72

w = 3000 / 72

w = 41.6666666667

w = 41.7 m

learn more on proportion here: https://brainly.com/question/582443

Answer:

If the first day is January 1st, 2017 on a "sunday"(Not saturday), that means that the last day is December 31, 2017 on a sunday. (Pog moment for mee)

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

(-6)+(-4)

Answer: 50 inches

Step-by-step explanation:

Answer:

PJ = 41.34

Step-by-step explanation:

P is incenter, three angles bisector meet

∠MJP ≅ ∠OJP

PM = PN = PO = 22   (radius: property of incenter)

∠JPM = 90 - ∠MJP = 90 - OJP = ∠JPO

ΔJPM ≅ ΔJPO   (ASA) or (SAS)

LM = JO

2x + 3 = 5x - 45

3x = 48

x = 16

JM = 35

PJ = √35²+22² = √1709 = 41.34

The value of PJ in triangle KJL is 41.32 units.

The point formed at the intersection of the three angle bisectors of a triangle; also the centre of the incircle.

Given that, P is incenter of the triangle KJL,

Considering the triangles ΔMJP and ΔOJP

PM = PO (property of incenter)

∠ JMP ≅ ∠ JOP

JP is common segment.

ΔJPM ≅ ΔJPO  (by SAS rule)

JM = JO  (CPCTC)

2x + 3 = 5x - 45

3x = 48

x = 16

JM = 35

Using the Pythagoras theorem,

PJ² = PM²+JM²

PJ = √35²+22² = √1709 = 41.34

Hence, The value of PJ in triangle KJL is 41.32 units.

For more references on incenter, click;

https://brainly.com/question/29480777

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Answer:

Try looking on quizlet I've found alot of my answers on there also!

Answer:

Step-by-step explanation:

here is how you find the answer

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

now apply the above rules to the given triangle

where we are given the angle of 30°  and the Adj side of 27

y is the Hyp of this triangle and x is the Opp side of this triangle, now plug in the given values  as follows

so use CAH   Cos(30) = 27 / Hyp

Hyp = 27 / Cos(30)

Hyp = 27 / ([tex]\sqrt{3}[/tex] / 2)

Hyp = 27 * 2 /  [tex]\sqrt{3}[/tex]

Hyp = 54 / [tex]\sqrt{3}[/tex]

y = 54 / [tex]\sqrt{3}[/tex]

use SOH, since we know the exact value for the Hyp from above

Sin(30) = Opp / ( 54 / [tex]\sqrt{3}[/tex]  )

Sin(30) * 54 / [tex]\sqrt{3}[/tex]  = Opp

1/2 * 54 / [tex]\sqrt{3}[/tex]  = Opp

27 / [tex]\sqrt{3}[/tex]  = Opp

x = 27 / [tex]\sqrt{3}[/tex]

:)

Answer:

There were 176 pitchers at the camp.

Step-by-step explanation:

Given that,

The ratio of pitchers to catchers at a baseball camp was 11:4.

Let pitchers be 11x and catachers be 4x.

Total catchers = 64

4x = 64

x = 16

So,

Pitchers = 11x

= 11(16)

= 176

Hence, there were 176 pitchers at the camp.

Answer:

3,2

Step-by-step explanation:

3 is equal to 3 which can be it and 2 is less than 3

Answer:

Step-by-step explanation:

x+110=180

x=70 degrees

y+40+110=180

y=30 degrees

z+70+90=180

z=20 degrees

Answer:

16

Step-by-step explanation:

5+37= 42. 42 is the distance between the 2.

divide that by 2- 21

then, subtract 5 to get to the midpoint. 21-5= 16

Answer:

-12 and 4

Step-by-step explanation:

-12+4=-8

(-12)*4= -48

Answer:

Read explanation

Step-by-step explanation:

A)The slope is the number before the X so 0.25, this represents the amount of money people have to pay for each mile driven over 150 miles.

B) The y-intercept is the number after the X so 32, this number represents the amount people have to pay rent the car before actually using it.

Answer:

10.1

Step-by-step explanation:

Step-by-step explanation:

it goes by this formula

[tex]a = \frac{1}{2} bh \\ \\ \\ a = \frac{1}{2} 6 \times 4.1 = 12.3[/tex]

Answer:

it would take 12.5 or 12 and a half years

Step-by-step explanation: