In the diagram, which pair of angles are vertical angles?

<1&<2
<4&<6
<6&<8
<5&<3
​

Answer:

Answer is in picture

Step-by-step explanation:

Hope it is helpful.....

Answer:

−

2

3

,

−

6

,

1

9

,

32.5

%

,

2.74

,

4

2

Step-by-step explanation:

Answer:

144x=8.64

This way you can divide by 144 to find how much each individual pencil costs

Answer:

adjacent

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I got it correct on a test

Answer:

A

Step-by-step explanation:

Because it is a random sample

A number raised to a fraction would be the same as a root to the inverse of the fraction.

What that means is the sqrt(8) raised to 1/4 is the same as being 4th root of 8.

So rewriting the given equation you would have cubic root 8 x 4th root 8

Combine the roots by multiplying: 3 x 4 = 12

The equivalent equation would be C. 12 root 8 ^ x

Answer:

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Answer:

no

Step-by-step explanation:

1 bagel $1.50     ---------> unit cost: $1.50/bagel

2 bagels $2.25

6 bagels $6.50

12 bagels $12    ---------> unit cost: $1/bagel

Since the unit costs are not equal, the prices are not proportional.

Answer:

-7

Step-by-step explanation:

The required number of days is 2.5 days

First, we need to calculate the amount of units generated per day.

If 15 people working 5 hours per day can make 30 units of a product in 10 days, then the amount of units per day is calculated as:

Units per day = (15*5*10)/30

Units per day = 750/30

Units per day = 25 units/day

If people of the same efficiency are used to make the same products, the number of days needed by 10 people to make 10 units of the product if each of them works 10 hours per day will be;

Number of days = (25*10)/10*10

Number of days = 250/100

Number of days = 2.5 days

Hence the required number of days is 2.5 days

Learn more on proportions here: https://brainly.com/question/19994681

Answer:

The proportion of arriving customers that get taxis is:

= 33%.

Step-by-step explanation:

Rate of arrival of taxis = 1 per minute

In one hour, the number of taxis arriving = 60 (60/1)

Rate of arrival of customers = 3 per minute

In one hour, the number of customers arriving = 180 (60 * 3)

The proportion of arriving customers that get taxis = 60/180

= 0.333

= 33%

b) Since the taxis wait until they get a customer, it means that they will likely transport one out of 3 customers who arrive.  Therefore, the proportion of arriving customers that get taxis is equal to 1/3 or 60/180, which is equal to 33%.

Answer:

x^2 + 2x = 1 = - 1

Step-by-step explanation:

x^2 + 2x + 3 = 1

x^2 + 2x + 3 - 2 = 1 - 2

x^2 + 2x + 1 = - 1

Answer:

the answer is 11

Step-by-step explanation:

if you take 18 divided by 3 and then 2 times that plus 2 and minus 25 it is 11

Answer:

Width = 9 yards, length = 42 yards

Step-by-step explanation:

Perimeter = 2xlength + 2xwidth. Let's call length L and width W. The question also states that L = 5W-3. Therefore, 102 = 2x (5W-3) + 2W. Then, 102 = 12W - 6. 108 = 12W, so W = 9 yards. Since L = 5W - 3, we get 45-3 = 42 yards.

Answer:

61.3°

Step-by-step explanation:

For angle x, 12 is the adjacent leg. 25 is the hypotenuse.

The trig ratio that relates the adjacent leg and the hypotenuse is the cosine.

cos A = adj/hyp

cos x = 12/25

x = cos^-1 12/25

x = 61.3°

100/3=33.33.... 1/6= 10 mins 33.33....*6= 199.98

hope this helped you out!!

- Each friend has 10 nails to paint

- There are 8 friends

- Jackie finished painting 4 friend's nails

If there are 8 friends, and each friend has 10 nails to paint, then there are 80 nails that need to be painted in total.

Jackie finished painting 40 nails.

So the math sentence will be:

80 - 40 = 40

--------------------------------------------------

Jackie needs to paint 40 more nails.

9514 1404 393

Answer:

Step-by-step explanation:

The rectangle in the middle has a width equal to the radius of the semicircular ends, so (20 cm)/2 = 10 cm.

The semicircular ends, together, make a complete circle of radius 10 cm.

The area is the sum of the areas of the parts:

  A = LW = (21 cm)(10 cm) = 210 cm² . . . . . . rectangle area

  A = πr² = π(10 cm)² = 100π cm² ≈ 314 cm² . . . . . circle area

The total area is ...

  210 cm² +314 cm² = 524 cm² . . . . area of the figure

__

The perimeter of the figure is the sum of the lengths of all of the edges. From the left, working clockwise, we have ...

  P = (1/2 circle of diameter 20) + (rectangle top = 21) +(1/2 circle of diameter 20) +(circle radius = 10) +(rectangle bottom = 21) +(circle radius = 10)

The two 1/2 circles add to a whole circle with a circumference of ...

  C = πd = (3.14)(20 cm) = 62.8 cm

Then the whole perimeter is ...

  P = 62.8 cm + 21 cm + 10 cm + 21 cm + 10 cm = 124.8 cm

_____

Note that we have used 3.14 for pi. If you use a more exact value, your answers will be slightly different.

Answer:

Hello your question is poorly written the complete question is attached below

answer :

a) H0 : p1 = p2

  Ha : p1 ≠ p2

b)  Z = -0.58

c) P-value =  0.561915

d) we will reject the Alternative hypothesis

Step-by-step explanation:

For sample 1 ;  n1 = 254 , x1 = 28

For sample 2 ; n2 = 301 , x2 = 38

level of significance ∝ = 0.01

P1 = X1 / n1 = 28 / 254  = 0.1102

P2 = X2 / n2 = 38 / 301 = 0.126

a) Determine the null and alternate hypothesis

H0 : p1 = p2

Ha : p1 ≠ p2

b) Determine Test statistic

we perform a Z-statistic to test the hypothesis

Z = [tex]\frac{p1-p1 }{\sqrt{( p(1-p)*(\frac{1}{n1}+\frac{1}{n2}) ) } }[/tex]  -------- ( 1 )

p =  ( x1 + x2 ) / ( n1 + n2 )

= ( 28 + 38 ) / ( 254 + 301 ) = 0.1189

Where: p = 0.1189 , p1 = 0.1102 , p2 = 0.126 ( input values into equation 1 )

∴ Z = -0.58

c) Determine P-value

P-value =  0.561915 ( using excel function )

d) conclusion : since p-value > 0.01 ( level of significance ) we do not reject the null hypothesis.  therefore it proves that p1 = p2

Answer:

There are 60 tenths and 5 hundreths

the decimal form is 0.65

Step-by-step explanation:

Answer:

4/3 or 1 + 1/3

Step-by-step explanation:

To divide fractions, we take the reciprocal of the second fraction and multiply that by the first. The reciprocal of 1/2 is 2. 2 multiplied by 2/3 is 4/3, which can also be represented as 1 and 1/3

Answer:

[tex]4x {}^{2} - 36 \\ = (2x + 6)(2x - 6) \\ hence \: option \: b \: is \: correct[/tex]

Answer:

C 1/10 × 33

D 0.1 × 33

Hope that helps

Answer:

What we have here is experimental probability:   12 heads out of 20 tosses. The fraction 12/20 reduces to  6/10, or 0.60, which corresponds to 60%.

Answer:

Statements? Your question is incomplete.

hi

f(x) = (x+9)  (x-4)

if it's cross the  x axis it's means  f(x) = 0

(x+9) (x-4) = 0  means   x+9 = 0  so x = -9  and   x-4 = 0 so x = 4

answers f(x) = 0 for  x = -9 and  x = 4