Planes Q and R intersect. Lines d and c are vertical on plane R and form a right angle with line B on plane Q. Line B is horizontal on plane Q. Line a is slightly diagonal on plane Q.
In the diagram, the only figure that could be parallel to line c is

line a.
line b.
line d.
plane Q.

Answer:

13) 13.7     14) 78.3 cm

Step-by-step explanation:

13)   6²+x²=15²

       x = 13.7

14)   2πr/2 = 2(3.14)(5.5)/2 = 17.3

      25 + 11 + 25 + 17.3 = 78.3 cm

Answer:

y=x+9

Step-by-step explanation:

Yes, it would be a scalene triangle. This can happen.

The Triangle sides have to be greater than c.

a+b > c

With the given inches, substitute it into the equations:

a = 3 in

b = 5 in

c = 9 in

3 + 5 > 9

Solve.

9 > 9

This is False since because a + b is not > c. a + b is equal to c.

Answer:

number of state parks in Florida is 147.

Equation is  1/3(f) + 36 = 85

Step-by-step explanation:

Given that f represents the number of state parks in Florida.

Also given that number of State Parks in California is 36 more than one third the number of State Parks in Florida

number of State Parks in California = 1/3 (number of State Parks in Florida) + 36

but it is given that There are 85 State Parks in California

and f represents the number of state parks in Florida

85 = 1/3(f) + 36  _________equation

=> 85 - 36 = 1/3 (f)

=> 49 = 1/3 f

=> 49*3 = f

=> f = 147

Thus, number of state parks in Florida is 147.

Equation is  1/3(f) + 36 = 85

Answer:

5a

Step-by-step explanation:

[tex]5\cdot \:a\\\\[/tex]

5 multiply a

5a

Answer :

Answer:

[tex]4 {e}^{2} [/tex]

Step-by-step explanation:

[tex] \frac{12 {e}^{5} }{3 {e}^{3} } \\ 12 \div 3 \times {e}^{5 - 3} \\ = 4 {e}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer: -5/18 - (-1/4) = -1/36

Step by step:

To subtract,  find the LCD and then combine

So this is your answer,

-1/36

Answer:

Answer is option d) 2

Step-by-step explanation:

[tex]given \: that \: x = 2 \: \: \: and \: \: \: y = 4 \\ value \: of \: \frac{2x + 3y}{4} - 2 \\ = \frac{2(2) + 3(4)}{4} - 2 \\ = \frac{4 + 12}{4} - 2 \\ = \frac{16}{4} - 2 \\ = 4 - 2 \\ = 2[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

For the given expression (2x + 3y) ÷ 4 - 2, If x = 2 and y = 4, the value of expression is, 2

An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given that,

The expression, (2x + 3y)/4 - 2

The value of expression, when  x = 2 and y = 4

⇒ (2×2 + 3×4)/4 - 2

⇒  (4+12)/4 -2

⇒   16/4  - 2

⇒  2

Hence, the value of expression is 2

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Answer:

First tale nth term and find relation of a , d, n

Try yourself

Answer:

a). A = -2x² + 200x

b). Widths = 40 feet and 60 feet

Step-by-step explanation:

It is given that length of the fencing material = 200 feet

a). Peg wants to cover the vegetable garden from three sides with the given fencing material.

If length of the garden = l

and width of the garden = x

l + x + x = 200

l + 2x = 200

l = (200 - 2x) feet

Therefore, area of the garden = Length × width

A = [tex](200-2x)\times x[/tex]

A = -2x² + 200x

b). Foe A = 4800 square feet,

4800 = -2x² + 200x

2x² - 200x + 4800 = 0

x² - 100x + 2400 = 0

x² - 60x - 40x + 2400 = 0

x(x - 60) - 40(x - 60) = 0

(x - 60)(x - 40) = 0

x = 40, 60 feet

Therefore, widths of Peg's garden will be 40 feet and 60 feet.

Answer:

Step-by-step explanation:

[tex]a^{-m}=(\frac{1}{a})^{m}\\\\\\1)7^{-2}=(\frac{1}{7})^{2}\\\\\\2)(\frac{2}{3})^{-3}=(\frac{1}{\frac{2}{3}})^{3}\\\\=(\frac{3}{2})^{3}[/tex]

Answer:

1) D.

2) A

Step-by-step Explanation:

1) [tex]7^{-2}[/tex]

= [tex](\frac{1}{7})^2[/tex]

2) [tex](\frac{2}{3})^{-3}[/tex]

= [tex](\frac{3}{2})^{3}[/tex]

Answer:

DB

It's the only line that is not a segment.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

These are similar triangle

We can use ratios to solve

12         12+4

------ = ----------

9         9+DC

Using cross products

12( 9+DC) = 9*(12+4)

12 (9+DC) = 9*16

Divide each side by 12

12/12 (9+DC) = 9*16/12

9+DC = 12

Subtract 9 from each side

9+DC-9 =12-9

DC =3

Answer:

3 units

Step-by-step explanation:

We can see that triangle ADE is similar to triangle ACB.

Therefore the ratios of the lengths of their sides must be equal.

We can write AD/AC = AE/AB

we are given AD = 9, AE = 12 and AB = 12 + 4 = 16

Substituting the above values into the equation:

AD/AC = AE/AB

9 / AC = 12/16  (rearranging)

(AC)(12) = (9)(16)

AC = (9)(16)/12

AC = 12

We can also see that

DC = AC - AD

DC = 12 - 9

DC = 3 units

Answer:

x = 9/4

Step-by-step explanation:

Since the x coordinates are the same, it is a veritcal line with x = 9/4

Step-by-step explanation:

In order to find Volume for a rectangle use the formula: L * W * H

2 1/4 * 3/4 * 1 1/4 = 2 7/64

A cube with the side lengths of 1/4:   1/4 * 1/4 * 1/4 = 1/64

Divide 1/64, by the prisms volume, 2 7/64 to get 135.

I'm not sure if this is right, but I hope that helps! :)

Answer:

complementary

Step-by-step explanation:

to complete 90 gradus

_________________________________

Hey!!

<a and <b are complementary angles.

Hope it helps

Good luck on your assignment

__________________________________

Answer: ZR and ZS form a right angle

Step-by-step explanation:

Complementary angles are angles whose sum = 90ᴼ

If R and S are complementary, then their angle measures add to equal 90ᴼ

A right angle = 90ᴼ

ZR and ZS form a right angle.

When the sum of two angles is equal to 90 degrees, they are called complementary angles.

When two straight lines intersect each other at 90˚ or are perpendicular to each other at the intersection, they form the right angle.

According to the given question.

Angles R and S are complementary angles.

Since, R and S are complementary angles. then their angle measured add to equal to 90 degrees or right angle.

Therefore,

The ZR and ZS form a right angle.

Hence, option second is correct.

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Answer:

[tex]18 \:ft^2[/tex]

Step-by-step explanation:

The area of a trapezoid.

[tex](a+b)h\frac{1}{2}[/tex]

[tex](8+4)3 \times \frac{1}{2}[/tex]

[tex](12)3 \times \frac{1}{2}[/tex]

[tex]36 \times \frac{1}{2}[/tex]

[tex]=18[/tex]

Answer:

z is any real number

Step-by-step explanation:

2.5(2z + 5) = 5(z + 2.5)

Distribute

5z + 12.5 = 5z +12.5

Subtract 5z from each side

5z -5z + 12.5 = 5z-5z +12.5

12.5 = 12.5

This is always true so z can be any real number

Answer:

All Real Numbers

Step-by-step explanation:

We are considering the following equation - 2.5(2z + 5) = 5(z + 2.5),

[tex]2.5 * (2z + 5) = 5 * (z + 2.5) - Apply Distributive Property,\\\\2.5 ( 2z ) + 2.5 ( 5 ) = 5z + 5 ( 2.5 ) - Multiply Like Terms,\\5z + 12.5 = 5z + 12.5 - Subtract Terms From Either Side,\\\\0 = 0,\\Conclusion ; z - All Real Numbers[/tex]

Solution; All Real Numbers

Answer:

Henry=12, Bernard=18

Step-by-step explanation:

let Henry's age = x

let Bernard's age= 1.5x

according to d passage 6yrs ago x×2=1.5x

mathematically that is (x-6)2=1.5x-6

2x-12=1.5x-6

2x-1.5x=-6+12

0.5x=6

divide both sides by the co-efficient of x which is 0.5 can also be written as ½

there fore x=6÷½

x=Henry's age=12years

1.5x=Bernard's age=12×1.5=18years

Answer:

[tex] P(t_{16}>2.583)[/tex]

And for this case we can use the complement rule and we got:

[tex]P(t_{16}>2.583)= 1- P(t_{16} <2.583)[/tex]

And if we use the t- table with df =16, we got:

[tex]P(t_{16}>2.583)= 1-0.990= 0.01[/tex]

Step-by-step explanation:

For this case we know that the degrees of freedom are given:

[tex] df = n-1= 16[/tex]

And we want to find the following probability:

[tex] P(t_{16}>2.583)[/tex]

And for this case we can use the complement rule and we got:

[tex]P(t_{16}>2.583)= 1-P(t_{16} <2.583)[/tex]

And if we use the t-table with df =16, we got:

[tex]P(t_{16}>2.583)= 1-0.990= 0.01[/tex]

Answer:

10 degrees Celsius

Step-by-step explanation:

Since the line goes through point (50, 10) and x represents Fahrenheit, y represents Celsius, then 50 F= 10 C

Answer:

10 degrees

Step-by-step explanation:

There are 6 numbers in one die.

There are 2 numbers that are less than or equal to 2, they are 1 and 2

The probability of something happening is the number of chances / total number

The probability would be 2/6, which can be reduced to 1/3

Answer:

less than 3

9/4

Step-by-step explanation:

Answer:

less than 3

9/4

Step-by-step explanation:

boom!!!

Answer:

The probability that it will  rain in all 3 cities on that day

P(V∪ C∪S) = 0.93 = 93%

Step-by-step explanation:

Let 'V' be the event of  rain in Vancouver

Given that the probability of rain in Vancouver

             P( V) = 20% = 0.20

             P( V⁻) = 1- P( V) = 1 - 0.20 =0.80

Let 'C' be the event of  rain in Calgary

Given that the probability of rain in Calgary

             P( C) = 65% = 0.65

            P( C⁻) = 1- P( C) = 1 - 0.65 =0.35

Let 'S' be the event of  rain in Saskatoon

Given that the probability of rain in Saskatoon

             P( S) = 75% = 0.75

             P( S⁻) = 1- P( S) = 1 - 0.75 =0.25

First we will prove that the probability that it will not rain in all 3 cities on that day

P( V⁻ ∩  C⁻ ∩  S⁻  ) =  P( V⁻) P( C⁻) P(S⁻)

                              =  0.80 × 0.35 × 0.25

                             = 0.07

The probability that it will  rain in all 3 cities on that day

P(V∪ C∪S) = 1-(P( V⁻ ∩  C⁻ ∩  S⁻  )

                   = 1 - 0.07

                  = 0.93

Answer:

n= -11/5+ 3/5m

Step-by-step explanation:

Answer:

g(n) = [tex]\frac{5n+11}{3}[/tex]

Step-by-step explanation:

Given

3m - 5n = 11

Rearrange making m the subject

Add 5n to both sides

3m = 5n + 11 ( divide both sides by 3 )

m = g(n) = [tex]\frac{5n+11}{3}[/tex]

Answer:

9.778 h

8.364 h

7.385 h

Step-by-step explanation:

In the given expression, "s" is Cecilia's average driving speed in miles per hour, 350 is the distance, in miles, between Atlantic City and Williamsburg, therefore:

For s = 45 mph

[tex]T = 2+\frac{350}{45}\\T=9.778\ h[/tex]

For s = 55 mph

[tex]T = 2+\frac{350}{55}\\T=8.364\ h[/tex]

For s = 65 mph

[tex]T = 2+\frac{350}{65}\\T=7.385\ h[/tex]