A side of the triangle below has been extended to form an exterior angle of 159°. Find the value of x

Answer:

45 degrees

Step-by-step explanation:

The sum of all angles is 180 degrees. Since we know one is 43, we subtract it from 180. 180 - 43 is 137.

The angle with the 88 degrees next to it is supplementary to the given angle, which means the measurement of the angle next to 88 is 180 - 88, which is 92 degrees.

143 - 92 is 45. Hope this helps

cough cough could i have brainliest lol

Answer:

c = 13

Step-by-step explanation:

a² + b² = c²

5² + 12² = c²

25 + 144 = c²

169 = c²

√169= √c²

13 = c

Answer:

195 sq. in.

Step-by-step explanation:

area = length * width

area = 15 in. * 13 in. = 195 sq. in.

Answer:

Minute hand = 3.98 feet

Step-by-step explanation:

Circumference of a circle can be calculated by

C = 2 x pi x radius

The minute hand extends from center to the edge means that minute hand is the radius and that is required.

putting values in above equation

C = 25 and pi = 3.14

25 = 2 x 3.14 x radius

radius = 25 / 6.28

Radius = 3.98 feet

Answer:

98 ft²

Step-by-step explanation:

Answer:

98 ft²

Step-by-step explanation:

Want points

Answer:

Answer:

450

Step-by-step explanation:

i think thats right

Answer:

m=0

Step-by-step explanation:

m=y2-y1/x2-x1

m=-1-(-1)/2-(-3)

m=-1+1/2+3

m=0/5

m=0

Given:

Food = 30 pounds of food per hiker.

Food consumption = 12 pounds of food a day.

No. of hikers = 7

To find:

The equation for the given situation.

Solution:

Let x be the number of days and y be the amount of remaining food.

Total amount is the product of number of hikers and food per hiker.

[tex]\text{Total food}=7\times 30[/tex]

[tex]\text{Total food}=210[/tex]

Food consumption of one day = 12 pounds

Food consumption of x days = 12x pounds

Now,

Remaining food = Total food - Food consumption of x days

[tex]y=210-12x[/tex]

[tex]y=-12x+210[/tex]

Therefore, the required equation is [tex]y=-12x+210[/tex].

Note: Option C is correct if there is -12 instead of 12.

Answer:

119.816

Step-by-step explanation:

Given the data :

123.6, 225.1, 324.8, 422.9, 524.2

Mean absolute deviation (MAD) :

Σ|x - m| / n

m = mean = ΣX / n

n = same size = 5

m = 1620.6 / 5 = 324.12|

[|123.6 - 324.12| + |225.1 - 324.12| + |324.8 - 324.12| + |422.9 - 324.12| + |524.2 - 324.12|] / 5

= 119.816

Answer:

2, 8, 90, 160

that is the focal, vertex l, direction

Answer:

12

Step-by-step explanation:

18 x 2/3 = 36/3 = 12

2/3 of 18

2/3×18

2×6

12

hope this helps:)

Answer:

y = 75°

Step-by-step explanation:

y and 105°

are on a straight line ,

a straight line is 180°

180 - 105 = 75°

y=75 °

I'm not sure about x hope you understand

Answer:

[tex]area \: = length \times width \\ = \frac{5}{8} \times \frac{4}{9} \\ = \frac{20}{72} \\ = \frac{10}{36} {ft}^{2} [/tex]

The equation to find the total surface area of the cylinder is S = 2π(9)(h) + 2π(9)².

As per the question, the diameter of the cylinder is given as 18 inches, so we can calculate the radius (r) by dividing the diameter by 2:

r = 18 inches / 2 = 9 inches

The height of the cylinder is given as 4 inches.

To find the total surface area of a cylinder, we can use the following equation:

Total Surface Area = 2πrh + 2πr²

Now we can substitute the values into the equation to find the total surface area:

S = 2π(9)(h) + 2π(9)²

Therefore, the required equation is S = 2π(9)(h) + 2π(9)².

Learn more about the surface area of a cylinder here :

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Answer:

Reduced fee for each additional round will be $5.

Step-by-step explanation:

Let the reduced fee for each additional round played = $x

Charges for one round = $13

If Tom played for 6 rounds, total charges for the 6 rounds = 13 + 6x

Since, Tom paid $43 for 6 rounds,

13 + 6x = 43

6x = 43 - 13

6x = 30

x = 5

Therefore, reduced fee for each round will be $5.

Hello!

This problem is about relating trigonometric values to an unknown side.

We are given an angle side, and we can determine that another angle made would be a 90 degree angle.

Meaning we could solve for the third unknown angle by knowing that the interior angles of a triangle add up to 180 degrees.

[tex]65+90+x+180[/tex]

[tex]x=180-90-65[/tex]

[tex]x=25[/tex]

After knowing this, we could use the law of sines, which states that the ratio of a side and the sin of its opposite angle are equal to any other ratio.

[tex]\frac{16}{sin(90)}=\frac{b}{sin(25)}[/tex]

[tex]b=16sin(25)[/tex]

Make sure to be in degrees when putting this in a calculator.

[tex]b=6.8[/tex]

Hope this helps!

Answer:

1243.4 [tex]cm^{3}[/tex]

Step-by-step explanation:

Answer:

about 28

Step-by-step explanation:

its actually 27.8125 but if we're estimating im assuming that means to round

Answer:

28 pints

Step-by-step explanation:

There are 28 pints in 445 fluid ounces .

Answer:

x=6

Step-by-step explanation:

hope this helps

Answer:

$8

Step-by-step explanation:

To find 10% of a number, move the decimal point over by one. Since the number is a whole the decimal point looks like this    

$40.00

Move it once to get 10% which is 4. Then multiply it by 2 to get 20%.

Answer: A

Step-by-step explanation:

The correct option is A.

In mathematics, an exponential function is a function of form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

Given is that a graph,

So, from the graph we can concluded that it is an exponential and positive function,

Therefore, as x increases y also increases.

We know that the exponential function is given by =

y = abˣ

So, when x = 0, y = 100,

100 = a × b⁰

a = 100

When x = 4, y = 150,

150 = 100 × b⁴

b⁴ = 1.5

b = 1.11

y = 100(1.11)ˣ

Change = 110-100 / 100 × 100% = 10%

Therefore, we can say the value of a $100 stock grows in value by 10% each year.

Hence the correct option is A.

Learn more about exponential function click;

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Answer:

1568 in^3

Step-by-step explanation:

Answer:

Volume = 1,568

Step-by-step explanation:

V = Bh

B = 17.5 x 14 = 245

h = 6.4

245 x 6.4 = 1,568

The easier way:

17.5 x 14 x 6.4 = 1,568

Let me know if this helps!

Answer:

h = 9 yds,       assuming his treehouse is a rectangular shape. 9 yds seems pretty high.

Step-by-step explanation:

area = bh

108 yd³ = 12 yd² x h

h = 108/12 = 9 yds

 The prism is 9 yards tall

What is the Volume of Rectangular Prism?

The area occupied inside a rectangular prism is referred to as the volume of the prism. A polyhedron with two pairs of congruent and parallel bases is referred to as a rectangular prism. It has 12 sides, 6 faces (all of which are rectangles), and 8 vertices. Given that the rectangular prism is a three-dimensional (3D) shape, the units cm3, m3, and so forth are employed to express the volume of the rectangle prism. Any polyhedron that possesses all of these qualities is referred to as a cuboid in mathematics.

Given: base of the treehouse= 12 yards²

volume of the treehouse = 108 yards³

To find : how tall is the prism ( height of the treehouse) = ?

Formula Used : The volume of a rectangular prism is calculated using the formula volume of a rectangular prism (V) = l w h,

where "l" stands for base length

"w" for base width.

"h" refers to the prism's height.

Steps for calculating the height

Step 1: The foundation area of 12 square yards has previously been specified.

Step 2: The prism's volume is 108 cubic yards

Step 3: The given rectangular prism's volume = base area x height

=> 108 cubic yards = 12 x h

=> 108/ 12 = h

=> h = 9 yards

Since , the prism is 9 yards tall

To learn more about: volume of rectangular prism

Ref: https://brainly.com/question/28060173

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Answer:

42 cubic units

Step-by-step explanation:

2x3x7

Answer:

All false.

Step-by-step explanation:

The ratio is 3:4.

For every 3 girls, there are 4 boys.

If a class has 7 people, 3 are girls and 4 are boys.

Hence the fraction of boys is 4/7 and girls are 3/7.

Therefore, a and b are False.

The number of boys in the class cannot be 6. If the number of boys is 6, then the number of girls must be 4.5 to maintain the 3:4 ratio, but there cannot be half a girl. So, c is also false. d) the number of pupils in the class is 12. To maintain a 3:4 ratio, the number of pupils in the class must be in multiples of 7. Hence, d is also false.

Answer:

100/x+6=20/x-6

100x-600=20x+120

80x=720

x=9 miles an hour as the rowing teams' rate in still water

Answer:

its 165 square feet

Step-by-step explanation:

i got the same question and that was the answer (: