Carrie drew two acute non-overlapping angles that share a ray and labeled them LADB and LBD The two angles have the same whole number measure. What is the least possible measure of LAD What is the greatest possible measure of LADC? O A. least: 2° greatest: 88°Carrie drew two acute non-overlapping angles that share a ray and labeled them LADB and LBD The two angles have the same whole number measure. What is the least possible measure of LAD What is the greatest possible measure of LADC?

Answer:

  arc BC = 26°

  arc AB = 90°

  arc CAB = 334°

Step-by-step explanation:

The angles of a linear pair total 180°. This fact lets us write an equation for x that helps us find the measures of all the angles and arcs. The arcs of a circle total 360°.

__

∠APE +∠EPD = 180°

  (25x +15)° +(33x -9)° = 180°

  58x = 174 . . . . . . divide by °, subtract 6

  x = 3 . . . . . . . . divide by 58

Angle APE is ...

  ∠APE = (25x +15)° = (25·3 +15)° = 90°

Then ...

  ∠EPD = 180° -90° = 90°

  ∠DPC = (20·3 +4)° = 64°

  ∠CPB = 90° -64° = 26°

  arc BC = ∠BPC = 26°

  arc AB = ∠APB = 180° -90° = 90°

  arc CAB = 360° -arc AB = 334°

Answer:

middle a little to the left and done

Step-by-step explanation:

Answer:

Step-by-step explanation:

A cube has a surface area of 60 in2. Find the volume in in3.

60 : 6 = 10 in²

√10 = 3,162277660168379

3,162277660168379³ =

99,99999999999996

round

100in³

Answer:

First picture - 20.42 m

Second picture - 12.9 m

Step-by-step explanation:

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

Formula for pyramid:

[tex]V=b^2\frac{h}3[/tex]

Where,

b = base - 3.5 m

h = height - 5 m

Thus,

[tex]V=3.5^2\frac{5}{3}[/tex]

[tex]20.41667m^3[/tex] ≈ [tex]20.42m^3[/tex]

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

Formula for pyramid:

[tex]V=b^2\frac{h}3[/tex]

Where,

b = base - 3 m

h = height - 4.3 m

Thus,

[tex]V = 3^2\frac{4.3}{3}[/tex]

[tex]12.9m^3[/tex]

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

Kavinsky

[tex]~~~~~~|x -1| =3\\\\\implies x-1 = 3~~~~~~~ \text{or}~~~~~~~ x -1 = -3\\\\\implies x = 3+1~~~~~~~\text{or}~~~~~~~~ x = -3 +1\\\\\implies x = 4~~~~~~~~~~~~ \text{or}~~~~~~~~~ x = -2\\\\\text{Solution set:}~ \{-2,4\}[/tex]

first case

[tex]|x-1|=3\\\\x-1=3\\\\x=4[/tex]

second case

[tex]-|x-1|=3\\\\-x+1=3\\\\-x=2\\\\x=-2[/tex]

The solutions are {-2, 4}

Americans spent a total of about $9,000 each on health care in 2013.

Health care is one of the most common expenses that people have to do. This derives from the comon saying that heath is wealth.

The graph shows the degree of expenses by the American people on the issue of health care in the year 2013. From the graph, we can see that Americans spent a total of about $9,000 each on health care in 2013.

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Answer:

C.) About $9,000

Step-by-step explanation:

Edge, 2022.

Given :

48°

90°{boxed like shape}

{sum of angles of triangle}

~Tulpe⚘

Answer:

x = 42°

Step-by-step explanation:

Given that,

→ A = 48°

→ B = 90°

→ C = x

Formula we use,

→ A + B + C = 180°

Let's solve for the value of missing angle,

→ A + B + C = 180°

→ 48° + 90° + x = 180°

→ 138° + x = 180°

→ x = 180° - 138°

→ [ x = 42° ]

Hence, value of missing angle is 42°.

Answer:

So first we need to determine what the exponential growth function would look like.  Exponential growth functions look like [tex]P(t) = P_0*e^{r*t}[/tex] and in our case [tex]P_0[/tex] would be the initial population which is 5.68 million.  R is the next variable that we need to fill out which is the rate of change which in our case is 2.99% or 0.0299.

This is how our function should look now [tex]P(t)=5.68*e^{0.0299*t}[/tex]

Moving onto part b, we need to estimate the population of the city in 2018 which 6 years from 2012 and we plug that into t and solve.

[tex]P(t)=5.68*e^{0.0299*6}[/tex]

[tex]P(t)=5.68*e^{0.1794}[/tex]

[tex]P(t) = 5.68*1.1965[/tex]

[tex]P(t) = 6.796\ million[/tex]

Moving onto part c, we need to find when the population of the city will be 11 million which will be done by setting P(t) to 10 million and solving for t.

[tex]10 = 5.68*e^{0.0299*t}[/tex]

[tex]\frac{10}{5.68} = \frac{5.68*e^{0.0299*t}}{5.68}[/tex]

[tex]1.76056=e^{0.0299*t}[/tex]

[tex]ln(1.76056)=ln(e^{0.0299*t})[/tex]

[tex]\frac{0.5656}{0.0299}=\frac{0.0299*t}{0.0299}[/tex]

[tex]18.9175\ years = t[/tex]

Moving onto part d, we need to find the doubling time.  This will be similar to the previous part but we will be finding the time it takes to double our population.  So instead of putting 10 million for P(t) we put 5.68* 2 in there which is 11.36.

[tex]11.36= 5.68*e^{0.0299*t}[/tex]

[tex]\frac{11.36}{5.68} = \frac{5.68*e^{0.0299*t}}{5.68}[/tex]

[tex]2=e^{0.0299*t}[/tex]

[tex]ln(2)=ln(e^{0.0299*t})[/tex]

[tex]\frac{0.693}{0.0299}=\frac{0.0299*t}{0.0299}[/tex]

[tex]23.182\ years = t[/tex]

Hope this helps!  Let me know if you have any questions

Answer:

aThere are 12 total possibilities: 6 numbers + Head or 6 numbers + Tail

Step-by-step explanation:

Now, required outcomes: T+2,4,6= 3/12 = 1/4

Answer:

17 ?

Step-by-step explanation:

Here's the way to solve ↓

First Identify the sides given:

Now, use the area of rectangular prism formula:

2(Length * Width + Height *  Length + Height * Width)

Solve:

Answer: x=+2 check over 2

Step-by-step explanation:

1. Move terms to the left side

42=32

4x2-32=0

2. Common Factor

4x2-32=0

4(x2-8)=0

3. Divide both sides by the same factor

4(x2-8)=0

x2-8=0

4. Use the quadratic formula

x2-8=0

a=1

b=0

C=-8

5. Simplify

. Evaluate the exponent

. Multiply the numbers

.Add zero

. Multiply the numbers

6. Seperate the equations

To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.

7.  Solve

Rearrange and isolate the variable to find each solution

First multiply inside the brackets:

-.5 x -1/4 = 0.125

Now multiply by 12%

0.125 x 0.12 = 0.015

answer: 0.015

Answer:

0.015

Step-by-step explanation:

Answer:

187.5 m^3

Step-by-step explanation:

2 to 5 is 2(2.5)

2.5^2 = 6.25

6.25(30) = 187.5

Answer: 5

Step-by-step explanation:

Answer:

the answer should be 1/11

Step-by-step explanation:

p(blue first) = 3/12

p(yellow second) = 4/11

so p = 3/12 x 4/11

1/11 is your probability

Answer:

d

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Total budget = 760

Money left = 760 - 433.54 - 2*18.41 - 10.76 = 278.88

278.88 > oo * 66.4

oo < 4.2

As oo should be an integer, so number of outfit =4

Answer:

3x + 2

Step-by-step explanation:

2 x 3x

6x

2 x 4

8

6x + 8

3 x X

3x

3 x 2

6

6x - 3x

3x

8 - 6

2

3x + 2

distribute.

[tex](10+13)(2+7y)\\\\20+70y+26+91y\\\\46+161y[/tex]

the answer is 46 + 161y.

Answer:

D. 46 + 161y

Step-by-step explanation:

Smiley face method/FOIL

(10 + 13)(2 + 7y)

= (10*2) + (10*7y) + (13*2) + (13*7y)

= 20 + 70y + 26 + 91y

Add like terms:

46 + 161y

Answer:

increase

Step-by-step explanation:

First, we need to find the mean of the given data set without any change.

10 + 61 + 10 + 44 + 21 + 79 + 27 + 12 = 264

264 ÷ 8 = 33

Now that we have the mean, we can find the mean of the data set with the change of 52.

10 + 61 + 10 + 44 + 21 + 79 + 27 + 52 = 304

304 ÷ 8 = 38

From this, we can see that the mean has increased with the change of 12 to 52. Thus, that's the correct option.

hope this helps!

Answer:

12+y+x+x+x+12+y+x = 24+2y+4x; which is A

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Given a quadratic equation ax² + bx + c = 0, plug the coefficients into the expression b² - 4ac to see what results:

5² - 4(-2 × -3)

Answer:

Option A

Step-by-step explanation:

95% confidence interval is obtained using the following formula

COnfidence interval lower bound = mean - critical value * sigma/sq rt n

and upper bound = mean + critical value*sigma/sq rt n

Thus margin of error = critical value*sigma/rt n

varies indirectly as n provided others are remaining the same.

Hence lower sample indicates higher margin of error

Out of 4 options given we find that I option has maximum margin of error as 21%

Hence option A is most likely coming from a small sample

Answer:

0.8 or 8/10

Step-by-step explanation:

1/10 can be converted to decimal form as 0.1.

70/100 can be converted to decimal form as 0.7

0.1 + 0.7 = 0.8

Another way is making use of a common denominator:

Common denominator --> 100

1/10 --> mutiply numerator and denominator by 10 --> 10/100

10/100 +70/100 = 80/100 = 8/10 = 0.8

The length of the straw will be 9.89949 inches long in radical form.

If a cuboid has length = l units, breadth = b units, and height = h units, then we can evaluate the length of the diagonal of a cuboid using the formula

[tex]X^2=l^2+b^2+h^2[/tex]

As per the question the length of the straw is equal to length of the diagonal of Rectangular box.

l= 5 inch , b= 8 inch , h= 3 inch

Let us consider the length of the straw be 'x'.

As, Diagonal of Cuboid is,

[tex]X^2+l^2+b^2+h^2[/tex]

[tex]X^2=5^2+8^2+3^2[/tex]

[tex]X^2=25+64+9[/tex]

[tex]X^2=98[/tex]

[tex]X=\sqrt{98}[/tex]

X= 9.89949 (in radical form)

Hence, the length of the straw will be  9.89949 inches.

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Answer:

Multiplication is the process of multiplying. The total cost of the boxes of two types is $90.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The cost of the first box is $12, which has 8 pounds of milk chocolate and 4 pounds of dark chocolate.

The cost of the second box is $15, which has 5 pounds of milk chocolate and 10 pounds of dark chocolate.

Therefore, if we buy the 5 boxes of the first type and 2 boxes of the second type, then the amount of two chocolate that Tim needs will be fulfilled.

The cost of 5 boxes of the first type is $60 ($12 ×5), while the cost of 2 boxes of the second type is $30 ($15×2), therefore, the total cost of the boxes of two types is $90.

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Answer:

2. 11x - 10

3. -8 + 11x - 2

5. -8 + 6x + 5x -2

Step-by-step explanation:

To find the equivalent expressions, find the solution to the expression -2(4 - 3x) + (5x - 2). All expressions that are within the solving process or have the same solution are equal to the given expression.

-2(4 - 3x) + (5x - 2)

-2(4 - 3x) + 5x - 2

-8 + 6x + 5x - 2

-8 + 11x - 2

11x - 10

In this case, the equivalent expressions were within the solving process. From this, we can see that the equivalent expressions are 11x - 10, -8 + 11x - 2, and -8 + 6x + 5x - 2. Aka choices 2, 3, and 5.

hope this helps!