Which sentence would be a good counter example to this statement ?

A line can exist in only one plane.

A. A line intersects one plane and the another.
B. A line is to one plane at a time.
C. A line that is Coplanar exists in more than one place.
D. A line is he intersection of two planes

Please help I need help with this

Answer:   [tex]\bold{a)\ \overline{CD}=6\qquad b)\ \overline{AD}=\dfrac{32}{3}\qquad c)\ \overline{AC}=\dfrac{50}{3}\qquad d)\ \overline{OB}=\dfrac{25}{3}}[/tex]

Step-by-step explanation:

a) First, use the Pythagorean Theorem to find CD:

8² + (CD)² = 10²     →     CD = 6

d) Next, find OB.  Notice that both OB and OC are the radius of the circle.

Using the Segment Addition postulate, we know the radius (r) = CD + DO  →  DO = r - 6

Use the Pythagorean Theorem for ΔOBD to find OB:

(DO)² + (BD)² = (OB)²

(r - 6)² + 8² = r²

r² - 12r + 36 + 64 = r²

   -12r + 100        = 0

             100        = 12r

              [tex]\dfrac{25}{3}\quad = r[/tex]              

c) Now, find AC. Notice that AC is the diameter.

Diameter = 2r

               = 2(OB)

               [tex]=2\bigg(\dfrac{25}{3}\bigg)\qquad =\dfrac{50}{3}[/tex]  

b) Lastly, find AD. Using the Segment Addition Postulate, we know that

AD + CD = AC   →   AD = AC - CD

                                      [tex]= \dfrac{50}{3}-6\qquad \rightarrow \quad \dfrac{50}{3}-\dfrac{18}{3}\qquad =\dfrac{32}{3}[/tex]

Answer:

x < -7

Step-by-step explanation:

-5x + 7 > 42

Subtract 7 from each side

-5x + 7-7 > 42-7

-5x > 35

Divide each side by -5, remembering to flip the inequality

-5x/-5 <35/-5

x < -7

Answer:

2x^2+4x-30=0

Step-by-step explanation:

2x^2+10x-6x-30=0

2x(x+5)-6(x+5)=0

(2x-6)(x+5)=0

2x-6=0        x+5=0

x=6/2          x=-5

x=3

Answer:

Step-by-step explanation:

[tex]2x^2+4x-30=0\\<=> x^2+2x-15=0[/tex]

so we know that the sum of the two solutions is -2 and the multiplication -15

so we are looking for x so that

x+3=-2 and 3x=-15

it gives x = -5

another way to do it is to put (x-3) in factor as we know that 3 is one of the solutions it gives

[tex]2x^2+4x-30 = 2(x-3)(x+5)[/tex]

and then the second solution is -5

Answer:

b = 68

Step-by-step explanation:

Complementary angles add to 90 degrees

a+b = 90

22+b = 90

Subtract 22 from each side

b = 90-22

b = 68

Answer:

68 degrees

Step-by-step explanation:

Complementary Angles: The sum of the angles is 90 degrees.

If angle a is 22 degrees, then...

a + b = 90

22 + b = 90

22 - 22 + b = 90 - 22

b = 68

That means that the measure of angle b is 68 degrees.

I hope this helps! Have a great day!

Answer:

6 x 4 = 24

Step-by-step explanation:

JC = 4

BD = 6

Answer:

114

Step-by-step explanation:

Answer: $2009.66

Step-by-step explanation:

A = P(1 + r/n)^nt

The balance at the end of 10 years in account after the credit union drawing 7% compounded monthly is $2009.66

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\[/tex]

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

A thousand dollars is left in a credit union drawing 7% compounded monthly. The balance at the end of 10 years has to be find out.

Here the data given are,

Put these values in the above formula as,

[tex]A=1000\times\left(1+\dfrac{7}{12\times100}\right)^{12\times10}\\A=2009.66[/tex]

Thus, the balance at the end of 10 years in account after the credit union drawing 7% compounded monthly is $2009.66

Learn more about the compound interest here;

https://brainly.com/question/24274034

Answer:

2

Step-by-step explanation:

First we have to figure out which order to solve this equation.

Following the rules of PEMDAS, we know it would be 5 - [6 x 8 ( ÷ 8 ) ] + 3.

Please tell me if you need a larger explanation on PEMDAS, or what the brackets and parenthesis mean.

Next we simplify the equation, bringing us to the answer, 2.

Once again, please tell me if you need to know how I simplified the equation.

Hope this helped :)

Answer:

67.5 degrees

Step-by-step explanation:

The piece that isn't marked with xs is 90 degrees marked by the square symbol representing a right angle.

Full circle = 360 degrees

360 degrees - 90 degrees = 270 degrees

Now, if we add all the like terms we have 4 x's in total. This is becauswe 3x + another x = 4x.

So, we need to divide 270 by 4. We get 67.5 degrees.

Hope this helps!

treviglaslibrary

Answer:

67.5 degrees

Step-by-step explanation:

Hope that helps

The next three terms of the arithmetic sequence 5, 9, 13, 17 is 21, 25, 29.

Given that,

Based on the above information, we can see that

There is the addition of 4 in each next number i.e.

5 + 4  = 9

9 + 4 = 13

13 + 4 = 17

17 + 4 = 21

21 + 4 = 25

25 + 4 = 29

Therefore, the option d is correct

Hence, the other options are incorrect.

Therefore we can conclude that the next three terms of the arithmetic sequence 5, 9, 13, 17 is 21, 25, 29.

Learn more: brainly.com/question/14069515

Answer:

200 dollars

Step-by-step explanation:

Answer:

-9ab + 8a + 2

Step-by-step explanation:

Combine like terms and distribute the negative

_______________________________

Solution,

(-2ab+8a+8)-(7ab+6)

= -2ab+8a+8-7ab-6

= -2ab-7ab+8a+8-6

= -9ab+8a+2

Hope it helps..

Good luck on your assignment

__________________________

Answer:

224

Step-by-step explanation:

I used an average calculator and tried every possibility, adding 224 in results in an anverage of exactly 190.

Answer:

224

Step-by-step explanation:

190x3=570

570-126-220=224

So ben must bowl a 224

Answer:

x < 23 (x is less than 23)

Step-by-step explanation:

x - 3 < 20

x < 20 + 3

x < 23 (x is less than 23)

Answer:

179

Step-by-step explanation:

The total number of animals in the river was 632.

A herd of 187 elephants and 266 zebras left the river area.

Adding them up, the total number of animals that left the river area is:

187 + 266 = 453

Therefore, the total number of animals left at the river area is the subtraction for the animals that left the river area from the number of animals that were there initially:

632 - 453 = 179

Answer:

$163

Step-by-step explanation:

Happily, they've given us the equation already.

280 + 5(–5) + (–42) + 2(75) + (–200)

280 - 25 - 42 + 150 - 200

Keep in mind your negative signs!

280 - 67 + 150 - 200

280 - 67 - 50

213 - 50

= $163

This can all be done on the calculator, but it can also be done mentally or written out, as I've done.

Answer:

Crystal had a balance of $163 at the end of the week

Step-by-step explanation:

hope this helped pls give brainliest!

Answer:

135

Step-by-step explanation:

We have been given the equation 945 ÷ 7. Seven goes into 9 one time. 9 minus 7 equals 2. Now drag down the four, 7 goes into 24, three times. 24 minus 21 equals 3. Drag down the five. 7 goes into 35 perfectly 5 times. Please mark me as brainliest. :)

Answer: The bakery made 3 batches of biscuits.

Step-by-step explanation:

To find how many batches the bakery made  set up a proportional relationship .

so if  [tex]\frac{3}{10}[/tex]   can make 1 batch of biscuit

is asking how many batch of biscuits  can [tex]\frac{3}{5}[/tex]  cup of flour make

so solve this divide 3/5 by 3/10 to find the number of batches

[tex]\frac{3}{5} /\frac{3}{10}[/tex]  = [tex]\frac{30}{15 }[/tex]  = 2 +1

Answer:

the bakery made 3 batches of bicuits.

3/10=0.3

3/5=0.6

if 0.3 is 1 batch then 0.6 is 2 batches 1+2=3

Answer:

First state that two triangles are similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Let's take two triangles that are similar:

Taking two triangles:

[tex]{\triangle ABC \text{ and } \triangle PQR[/tex]

If

[tex]\angle A \displaystyle \cong \angle P[/tex]

and

[tex]\angle C \displaystyle \cong \angle R[/tex]

Then,

[tex]{\triangle ABC \sim \triangle PQR[/tex]

It is Angle-Angle (or AA) Theorem.

It says that two triangles are similar if they have two pairs of corresponding angles that are congruent.

Answer:

D. It assumes that all students taking geometry are in the 9th grade 

Step-by-step explanation:

Answer:

289 units

Step-by-step explanation:

The circumference (C) of a circle is calculated as

C = πd ( d is the diameter )

Here C = 907.46 , thus

907.46 = πd ( divide both sides by π )

d = [tex]\frac{907.46}{\pi }[/tex] ≈ 289 units ( nearest whole number )

Answer:

[tex]d = 288.84 \: \: \: units[/tex]

Step-by-step explanation:

Using the formula

[tex]c = 2\pi \: r[/tex]

Solving for r

[tex]r = \frac{c}{2\pi} = \frac{907.46}{2\pi} \\ = 144.42674 \\ [/tex]

Now lets find the diameter

[tex]d = 2r \\ d = 2 \times 144.42 \\ d = 288.84 \: units[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

C

Step-by-step explanation:

Multiply 5/8 by 4 in which you get 2.5 which is 5/2 and simplify, then you get answer C

Answer:

x = -2[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

First we have to distinguish the numbers with x from the "normal" numbers.

2x and 6x are numbers with x.

3 and 0 are "normal" numbers.

Now we have to seperate them on different sides of the equal sign.

To do this, we can subtract 3 from the left side and then add it to 0 on the left side.

Therefore, the equation will now be 2x + 6x = -3.

Now we can add 2x and 6x together, making it 8x.

The equation will now be 8x = -3.

To find the product of x, we need to divide both sides together.

So 8 divided by -3 will make -2[tex]\frac{2}{3}[/tex].

Therefore, x is  -2[tex]\frac{2}{3}[/tex].

Hope my explination makes sense :)

900000g coz 9 tonnes is like 9000000g

Answer:

900000gm is lighter than 9 tonnes

Step-by-step explanation:

907185 = 1 ton

907185 x 9 = 8164665

You underline how many digits = 7 and see that 900000gm has only 6 digits.

Answer:

pillow cost 3, quilt costs 5

Step-by-step explanation:

let p represent pillow and q represent quilt

rest is in pic attached

Answer:

A and E

Step-by-step explanation: I done this before

The statements that are true are:

Allie takes 1/22 of an hour to climb one meter.

Samuel takes 1/19 of an hour to climb one meter.

Options B and E are correct.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numberator.

We have two types of fractions.

Proper fraction and improper fraction.

A proper fraction is a fraction whose numerator is less than the denominator.

An improper fraction is a fraction where the numerator is greater than the denominator.

Example:

1/2, 1/3 is a fraction.

3/6, 99/999 is a fraction.

1/4 is a fraction.

We have,

For Allie.

She climbs 5(1/2) meters in 1/4 hour.

This means,

11/2 meters = 1/4 hour

22 meters = one hour

Rate = 22 meters per hour.

We can also say,

To climb one meter, she takes 1/22 of an hour.

For Samuel.

He climbs 14(1/4) meters in 3/4 hour,

This means,

57/4 meters = 3/4 hour

19 meters = one hour

Rate = 19 meters per hour.

We can also say,

To climb one meter, he takes 1/19 of an hour.

Thus,

Allie takes 1/22 of an hour to climb one meter is true.

Samuel takes 1/19 of an hour to climb one meter is true.

Learn more about fractions here:

https://brainly.com/question/24370499

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Answer:

[tex]A=\frac{x^4y^9+3x^4y^9}{2}4x^2y^5=2x^4y^9(4x^2y^5)=8x^6y^{14}[/tex]

Answer:

X=27

Step-by-step explanation:

-4•4= -16

Move -16 to the other side

3x=81

x=27