The scatterplot shows the heights and arm spans of 12 girls on a basketball
team. The line of best fit for the scatterplot is y = x + 2. What is the predicted
arm span for a girl who is 61 inches tall?
72
70
68
Arm span (inches)
66
60
60 62 64 66 68 70 72
Height (inches)

Answer:

y° = 25°

Step-by-step explanation:

Given the diagram of a triangle, where it shows an exterior angle with a measure of ∠115°, and that an angle bisector bisects the triangle into two right triangles.  

According to the Exterior Angle Theorem, the measure of the exterior angle is equal to the sum of the measures of two non-adjacent interior angles.  In other words, the given exterior angle, m∠115° is equal to m∠y° + m∠90°.

Hence, we could simply solve for the value of y algebraically:

m∠y° + m∠90° = m∠115°

y° + 90° = 115°

Subtract 90° from both sides:

y° + 90° - 90° = 115° - 90°

y° = 25°

Verify whether we have the correct value for y by solving for x:

Since the exterior angle, ∠115°, and ∠x° are supplements, then it means that:

m∠115° + m∠x° = 180°

115° + x° = 180°

Subtract 115° from both sides:

115°- 115° + x° = 180° - 115°

x = 65°

According to the Triangle Sum Theorem, the sum of the measures of the interior angles of a triangle is 180°.

Hence:

m∠x° + m∠y° + m∠90° = 180°

65° + 25° + 90° = 180°

180° = 180° (True statement).

Therefore, the correct answer is: y = 25°. This measure represents either one of the ∠y.

Answer:

$4305.60

Step-by-step explanation:

1393 divided by 44 = 31.6590909

that's how much for one training session

so to find the pay for 136 sessions you need to do 31.6590909 x 136

which is 4305.63636

if you round that, you get $4305.60

Answer:

Playing video games or sumthin

Answer:

[tex]\huge\boxed{-0.001a^{n+1}}[/tex]

Step-by-step explanation:

[tex]-0.001a^{3n+3}=-0.001a^{3(n+1)}=(-0.001a^{n+1})^3\\\\\text{Used}\\\\a(b+c)=ab+ac\qquad\text{distributive property}\\\\(a^n)^m=a^{n\cdot m}[/tex]

Answer:

Step-by-step explanation:

x + y = 18

y = 18 - x

xy = 72

x(18 - x) = 72

-x² + 18x = 72

0 = 72 - 18x + x²

x = (18 ± √(18² - 4(1)(72))) / (2(1))

x = (18 ± 6)/2

x = 12

x = 6

Answer:

Hope It's Help

Answer:

2.7 seconds

Step-by-step explanation:

[] Temp of air: 68°F -> 20°C

[] Velocity of sound in air:

[tex]v=331.3\sqrt{1+\frac{T}{273.15} }[/tex]

[tex]v=331.3\sqrt{1+\frac{68}{273.15} }[/tex]

v ≈ 370.25 m/s

[] Last,

t = [tex]\frac{d}{v}[/tex]

t = [tex]\frac{1,372}{370.25}[/tex]

t ≈ 3.7056 ≈ 2.7 seconds

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

C

Step-by-step explanation:

In a geometric sequence there is a common ratio. The common ratio is a number that you multiply each number of the sequence to get the next number.

A.

1, 2, 4, 6, 8, 10, ...

2/1 = 2

4/2 = 2

It looks like the common ratio is 2, but try the next division: 6/4 = 3/2

It is not 2, so there is no common ratio, and this is not a geometric sequence.

B.

-1, 0, 1, 2, 3, ...

0/-1 = 0

1/0 = undefined

There is no common ratio.

C.

-2/2 = -1

2/(-2) = -1

-2/2 = -1

The common ratio is -1.

This is a geometric sequence.

D.

3/5 = 3/5

1/3 = 1/3

No common ratio.

Answer: C

Step-by-step explanation:

check the image for detailed solution

Answer:

B: -9

Step-by-step explanation:

When you add a negative number, you subtract that number.

[tex]18+-27=18-27=-9[/tex]

Answer:

61.8

Step-by-step explanation:

[tex] \frac{55.1 + 67.9 + 59.2 + 64.1 + 61.8 + 62.7}{6} [/tex]

Answer:

use reciprocal

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

25% of 12 is 3

25% of 8 is 2

5 people out of 20 people

5/20 = 25%

25% percent of the entire class is going on the field trip

percentage, a relative value indicating hundredth parts of any quantity.

Given,

There are 12 girls and 8 boys in Ms. Crabapple's class.

The total number of students

12+8=20

25% of the girls and 25% of the boys are going on a field trip to a nuclear power plant,

25% of the girls =0.25×12=3

25% of the boys =0.25×8=2

So the total number of students went to field trip

3+2=5

So out of 20 student, 5 students went to the field trip.

Which means 25% of the entire class is going on the field trip

Hence, 25% percent of the entire class is going on the field trip

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ2

Answer:

30 %

Step-by-step explanation:

Assumption: the increase is to be expressed as a percentage of 10.

We change from 10 to 13 so the increase is 3 We now need to change this into a percentage.

In fraction form we have increase Original value → 3 10 But we need to change this into the form some number 100 Let the unknown value be x giving: 3 10 ≡ some number 100 = x 100 To change the 10 from 3 10 into 100 we multiply by 10 Multiply by 1 and you do not change the value.

However, 1 comes in many forms.

3 10 × 1 = 3 10 × 10 10 = 30 100 This is the same as 30 × 1 100 but 1 100 is the same as %.

So 30 100 → 30 %

Answer:

1 pound = 1.389 dollars  ( to nearest thousandth)

Step-by-step explanation:

1 pound = 1/0.72 =  1.388888...

Answer:

That's is not Different

Step-by-step explanation:

Including to 2000 and 6666 itself is not Different

Answer:

Step-by-step explanation:

HSB will equal BCH

The four internal angles of a parallelogram sum to 360°

Opposite internal angles are equal.

2(3x - 3.86) + 2(2x + 6.58) = 360

6x - 7.72 + 4x + 13.16 = 360

10x = 354.56

x = 35.456

HSB = (3(35.456) - 3.86) = 102.508°

Answer: simplify 0<-8 no solution

Step-by-step explanation:

Answer:

6 km/hr

Step-by-step explanation:

Sue can ride her bike 14 km/hr faster than she can walk. So for each step, add 14 km/hr.

Solve

[tex]-17.5r^2-245r+2100=0 \\\\r^2+14r-120=0 \\\\(r-6)(r+20)=0\\\\[/tex]

Therefore, it is 6.

Answer:

The one you have selected is correct. 9.5(w+5.7)=77.9

Step-by-step explanation:

Area is length x width, but the length is the same. So, the 9.5 is not in the parentheses. The existing width (w) is having 5.7 yards added on before being multiplied for area calculations. Because of the order of operations, (w+5.7) must be in parentheses so it is done before multiplication.

Answer:

9.5(w+5.7)=77.9

Step-by-step explanation:

took the test

Based on the information given, the fraction of horsepower that will be applied to the pump will be 1l28.

From the information given, it can be seen that the motor is rated at 1/8 horsepower and used to drive a pump.

Therefore, the fraction of the horsepower that will be applied to the pump if the motor delivers only 2/7 of its rated horsepower will be:

= 2/7 × 1/8.

= 2/56

= 1/28

Learn more about fraction on:

https://brainly.com/question/25803541

Answer:

1007/20

Step-by-step explanation:

You helped me so i help you. Here you go my friends sorry i dont have an explanation. Good luck !

Use proportions.  X is what you want.

70      50.35lb

__  =   _____

100          x

Cross multiply to get 70x = 5035

Solve to get about 71.93 lbs of the alloy.

Answer:

letter A.g(x)=x2+b that's the answer cause g(x) is in the positive

Answer:

Step-by-step explanation:

what number is its own oppositie?

The number 0 is the only number that is its own opposite.

Answer:

8.a 9.d 10.a 11.b

Step-by-step explanation:

this is multiple one .so no steps

The answer to your question is in the image above.