A triangular fence is built with sides each of length 15 m, 14 m, and 24 m, respectively. To the
nearest degree, what is the measure of the smallest angle made by the fence?

Answer:

m<1 = 26°

m<2 = 154°

m<3 = 26°

m<4 = 26°

m<5 = 154°

m<6 = 154°

m<7 = 26°

Step-by-step explanation:

What is required was not stated, however, let's find the value of every angle labelled in this diagram.

✔️m<1 = 180° - 154° (linear pair theorem)

m<1 = 26°

✔️m<2 = 154° (vertical angles theorem)

m<2 = 154°

✔️m<3 = m<1 (vertical angles theorem)

m<3 = 26° (substitution)

✔️m<4 = m<3 (alternate interior angles theorem)

m<4 = 26° (substitution)

✔️m<5 = m<2 (alternate interior angles theorem)

m<5 = 154° (substitution)

✔️m<6 = m<5 (vertical angles theorem)

m<6 = 154° (substitution)

✔️m<7 = m<4 (vertical angles theorem)

m<7 = 26° (substitution)

Answer:

Step-by-step explanation: B

Answer:

hi.a..a.q.q.q.q..w.w.q.

Answer:

a.. 8% of ? = 20    240

b.75% of ? = 30    40

c. 20% of ? = 45   225

d. 150% of ? = 36  24

The steps of  answer is in attached file

Hope it helps..

Have a great day : )

Answer: 2/3

Step-by-step explanation:

Answer: -2/3

Step-by-step explanation:

Hope This Help?

Please Mark Me brainly!

Answer:

It's A.) linear

Step-by-step explanation:

The power of x is equal to one, making it linear [ f(x) = 2x^1 ]

Answer:

Step-by-step explanation:

Answer:

10, 15, 15, 20, 20, 20, 30, 30, 45, 45

Step-by-step explanation:

Answer:

The expected rate of return is 6.3%.

The standard deviation is of 11.29%.

Step-by-step explanation:

Expected rate of return

Multiply each rate by its probability. So

[tex]E = 0.1(-20) + 0.2(0) + 0.4(7) + 0.2(15) + 0.1(25) = 6.3[/tex]

The expected rate of return is 6.3%.

Standard deviation:

Square root of the difference squared between each value and the mean, multiplied by the probability. So

[tex]S = \sqrt{0.1(-20-6.3)^2 + 0.2(0-6.3)^2 + 0.4(7-6.3)^2 + 0.2(15-6.3)^2 + 0.1(25 - 6.3)^2} = 11.29[/tex]

The standard deviation is of 11.29%.

Answer:

ok

Step-by-step explanation:

what do you want me to do now

Answer:

12.

Step-by-step explanation:

Answer:

log (150)=2.176091259

Answer:

log104=2.107

log150=2.176

log1025=3.011

log10570=4.024

log7=0.845

Step-by-step explanation:

To solve these questions, you can just plug them into your calculator:

log104=2.107033339≈2.107

log150=2.176091259≈2.176

log1025=3.010723865≈3.011

log10570=4.024074987≈4.024

log7=0.84509804≈0.845

Step-by-step explanation:

=4(x-1)-3(2x-5)

=4x-4-6x+16

=4x-6x-4+16

= -2x+12

hope it helps.

Answer:

2x + 11

1.) Distribute

4(x-1)-3(2x-5)

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

2.) Connect like terms

4x -4 -6x + 15

-2x -4 +15

3.) Calculate

-2x + 11

Answer:

Vertex = (-1, 2)  

Maximum

Step-by-step explanation:  

The middle point of the graph is at x coordinate -1 and the point is at the top while the graph slopes down so it is a maximum point and not a minimum point.

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Answer:

Step-by-step explanation:

The angles are equal to each other (vertical angles)

Hence:

9y + 7 = 2y + 98

9y - 2y = 98 - 7 (Minus both sides by 2y and 7)

7y = 91 (Simplify)

y = 13 (Divide both sides by 7)

Step-by-step explanation:

x+100°=180°{being straight angle}

x=180-100

x=80°

again,

45°+x+y=180°{sum of angle of triangle}

45+80+y=180

y=180-125°

y=55°

hope it helps.

Answer:V=whl

Step-by-step explanation:

all you have to do is multiply width times length times height

1 1/2 × 1 1/2 × 1 1/2= 3/2 × 3/2 × 3/2 = 27/ 8

simplify to

3 3/8

hope this was helpful:)

Answer:

m = 1

Step-by-step explanation:

(2,1) and (8,7)

m = (y2-y1)/(x2-x1)

m=(7-1)/(8-2)

m=6/6

m = 1

Answer:

Lets find volume of smaller cubiod first.

Volume = l x b x h = 24 cm³

Again,

Lets find volume of bigger cuboid.

Volume = l x b x h = 648cm³

Now,

The no. of cuboids that can be made from the bigger cuboid is

= Volume of bigger cuboid / volume of smaller cuboid

= 648/ 24

= 27 cuboids

Answer:

1470

Step-by-step explanation:

Answer: Gas station P

Step-by-step explanation:

When you plot gas station M on the graph all the values are under the line meaning it gas at station M costs less than station G.

Gas station P charges more than gas station M.

A unit rate means a rate for one of something.

Given is a table and a graph,

When we compare each, we get,

Gas station P is charging $20 for 5 gallons, and gas station M charges $19 for same.

Hence, gas station P charges more than gas station M.

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Answer:

0.03

Step-by-step explanation:

.25% for the tails times .5 for the odd number on the dice times 0.25 for the clubs because it is a 13/52 chance you will pull a clubs and put that all together and you get 0.03125 simplified and you get 0.03

Answer:

0.03

Step-by-step explanation:

The probability of landing on 1 tail is 1/2, since it is 1 out of 2 options, a tail or a head. If you want the probability of two tails, it would be 1/2 * 1/2 = 1/4.

Next we can take the probability of rolling an odd number on a fair die. A fair die has 3 even numbers: 2,4,6; and 3 odd numbers: 1,3,5. Since 3/6 or 1/2 of the numbers are odd, there is a 50% chance that it would roll an odd number.

Finally, drawing a club out of standard deck of cards is 1/4, since there are 4 choices: hearts, spades, clubs, or diamonds. You now get the idea, and you can figure out that the probability would be 1/4.

Our last step is to multiply all the answers we get, since to get all of them at once would lower your chances. 1/4 * 1/2 * 1/4 = 1/32 = 0.03125; rounded to 0.03.

Given:

A figure of a right angle triangle.

To find:

The value of x°.

Solution:

The given triangle is a right angle triangle. So, the measure of one angle is 90 degrees.

The measure of other two angles are 3x° and 7x°.

According to the angle sum property of a triangle, the sum of all three interior angles of a triangle is 180 degrees.

Using the angle sum property of the triangle, we get

[tex]90^\circ+3x^\circ+7x^\circ=180^\circ[/tex]

[tex]10x^\circ=180^\circ-90^\circ[/tex]

[tex]10x^\circ=90^\circ[/tex]

Divide both sides by 10.

[tex]x^\circ=\dfrac{90^\circ}{9}[/tex]

[tex]x^\circ=10^\circ[/tex]

Therefore, the value of x° is equal to 10°.

Answer:

There are two paramount differences between art and science. The first is that art is subjective while science is objective. The second is that art expresses knowledge, most often in the form of subjective representation, while science is the system of acquiring knowledge.

Answer:

There are two differences

Step-by-step explanation:

Art expresses knowledge, most often in the form of subjective representation, while science is the system of acquiring knowledge.

Answer:

5⁰ × 7⁰ × 3⁰ = 1

Step-by-step explanation:

5⁰ × 7⁰ × 3⁰ = ?

5⁰ = 1

7⁰ = 1

3⁰ = 1

1 × 1 × 1 = 1

Answer:

X is equal to c-9 over b as required

Answer:

[tex]c =\frac{18 + 3 b x}{3}[/tex]

Step-by-step explanation:

3 ( c - b x ) = 18

Solve the brackets.

3c - 3 b x = 18

Take -3 b x to the right side.

3c = 18 + 3 b x

Divide both sides by 3.

[tex]c =\frac{18 + 3 b x}{3}[/tex]