Please help me with my question!!

Answer:

 [tex]2. m\angle H+m\angle J +m\angle K =180^{\circ}[/tex]

Reason: the sum of all interior angles of any triangle is equal to 180º.

Step-by-step explanation:

1) Organizing

Statement  1. m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° 1. Reason: given

2) Since the sum of all internal angles of any triangle is equal to 180º, just like the formula. N the number of sides of a triangle:

[tex]S_{i}=180^{\circ}(n-2)\rightarrow 180(3-2) \therefore S_{i}=180^{\circ}[/tex]

3) We can also say

[tex]m\angle K=180^{\circ}-(m\angle H+m\angle J)\\m\angle K=180^{\circ}-\left ( 30^{\circ}+50^{\circ} \right )\\m\angle K=100^{\circ}[/tex]

Similarly to the other triangle:

[tex]m\angle L=180^{\circ}-(m\angle N+m\angle P)\\m\angle L=180^{\circ}-\left ( 100^{\circ}+50^{\circ} \right )\\m\angle L=30^{\circ}[/tex]

4) Hence,

[tex]2. m\angle H+m\angle J +m\angle K =180[/tex]

Reason: The sum of interior angles is equal to 180º.

Answer:

B

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

1×2=2

1×[tex]\sqrt{3}[/tex]=[tex]\sqrt{3}[/tex]

The other leg of right triangle s is √3 units and hypotenuse of the right triangle is 2 units. Therefore, option D is the correct answer.

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

In the given right triangle, one of the leg is 1 unit, other leg is s unit and the hypotenuse is h units.

We know that, tanθ=Opposite/Adjacent

So, tan30°=1/s

1/√3 = 1/s

s=√3

We know that, sinθ=Opposite/Hypotenuse

sin30°=1/h

1/2 = 1/h

h=2

Therefore, option D is the correct answer.

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Answer:

Step-by-step explanation:

83% of 408:

83/100 x 408 = 338.64 pounds

41% of 53 :

41/100 x 53 = 0.41 x 53 = 21.73 kg

97% of 345m:

0.97 x 345 = 334.65

please mark brainiest

83% of 408 pounds is 338.64 pounds,41% of 53 kg is 21.73kg, 97% of 345 m is 334.65m

percentage, a relative value indicating hundredth parts of any quantity.

We need to find

a)83% of 408 pounds

Firstly we need to convert 83% to decimal by dividing with 100.

83/100=0.83

Now multiply 0.83 with 408

0.83×408=338.64

b)41% of 53 kg

Firstly we need to convert 83% to decimal by dividing with 100.

41/100=0.41

Now multiply 0.41 with 53

0.41×53=21.73

c)97% of 345m

Firstly we need to convert 97% to decimal by dividing with 100.

97/100=0.97

Now multiply 0.97 with 345

0.97×345=334.65m

Hence 83% of 408 pounds is 338.64 pounds,41% of 53 kg is 21.73kg, 97% of 345 m is 334.65m

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Answer:

We use cosine rule also called cosine law which states

c^2=a^2+b^2-2abcosC

given

a=8cm, b=7cm, c=9cm cos C?

9^2=8^+7^2-2*8*7 cos C

expand

81=64+49-112 cos C

like terms together

81-113=-112 cos C

-32=-112cos C

multiply both sides by -1

32=112cos C

divide both sides by 112

32/112=cos C

cosC=0.2857

find cos inverse of 0.2857

angle C= 73.40

Answer:

40

Step-by-step explanation:

90/8=11.25 (1 flapjack)

11.25x40=450

Answer:

B

Step-by-step explanation:

A function cannot have more than one point on the same x coordinate. So, B is the only option that works.

Answer:

certain

Step-by-step explanation:

the probability called certain means that is will occur or it's probability is 1

Answer:

Certain or 1/1 - 2/2 - 3/3 - 4/4 ect.

Step-by-step explanation:

Unless the world ends on Saturday (which is looking more and more certain as the year goes on) Sunday will follow after it the next day.

Answer:

14 4 point questions and 26 2 point questions

Step-by-step explanation:

i just know

Answer: b) 2 units left, 4 units up, reflect across y-axis

Step-by-step explanation:

The easiest way to do this is to graph the black triangle using the the given options to see which one lands on the red triangle.

The second option is the one that works.

Answer:

Just Make x=0

[tex]y_i=(-c)(-d)^3=cd^3[/tex]

Answer:

Volume of prism = 3,240 cm³

Step-by-step explanation:

GIven.

Hexagonal prism.

Side of base(b) = 12cm

Height of prism = 9cm

Height of base (h)= 10cm

Find:

The volume of the prism.

Computation:

Area of base of hexagonal prism = n/2[bh]

Area of base of hexagonal prism = 6/2[(12)(10)]

Area of base of hexagonal prism = 360 cm²

The volume of prism = Area of base of hexagonal prism × Height of prism

The volume of prism = 360 × 9

Volume of prism = 3,240 cm³

Answer:

undefined

Step-by-step explanation:

The slope of a line is given by

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

    = ( -19 -23)/(-32 - -32)

     = 42 / 0

Dividing by zero gives us an undefined answer so the slope is undefined

Answer:

Ss={}

Step-by-step explanation:

6x^2+1<or=0

6x^2<or=-1

x^2<or=-1/6

x<or=root-1/6

There is no number that satisfiey this equation

SS={}

Answer:

no solution

Step-by-step explanation:

Answer:

x = 15

Step-by-step explanation:

Given

5(x - 10) = 25 ( divide both sides by 5 )

x - 10 = 5 ( add 10 to both sides )

x = 15

Answer:

x=15

Step-by-step explanation:

[tex]5\left(x-10\right)=25[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}5\\\frac{5\left(x-10\right)}{5}=\frac{25}{5}\\x-10=5\\\mathrm{Add\:}10\mathrm{\:to\:both\:sides}\\x-10+10=5+10\\x=15[/tex]

Answer:

0

Step-by-step explanation:

5x - (x+3)2

5x - (2x+6)

5x - 2x -6

3x - 6

3(2) - 6

6 - 6

0

Answer:

x=2

Step-by-step explanation:

(7^ (1/2))ˣ = 7¹

1/2 *x =1

x =2

Answer:

hey so im guessing its 10 bananas and 10 apples

Step-by-step explanation:

1.2x 10=12

1.4x10= 14

12+14=26

Answer:

There are 14 4-point questions and 26 2-point questions.

Step-by-step explanation:

m  = number of 4-point questions

n = number of  2-point questions

m+n =40

4m + 2n =108

You can solve system by elimination:

Multiply the 1st equation by -4 and keep the 2nd equation the same.

−4(m+n=40) → -4m -4n= -160

                       4m+2n=108 add them up

-2n = -52 divide both sides by -2

n = 26

plug it back in to solve for m

m + n = 40 →m + 26 =40 subtract 26 to both sides

m = 14

Answer:

m=14, n=26

Step-by-step explanation:

Answer:

30%

Step-by-step explanation:

Think of the 10 as 100%. 2 as 20% and so on. The green makes up 30%.

Answer: 24.4

Step-by-step explanation:

So lets review a bit about sine, cosine, and tangent.

Look at attachment below

Okay so we have the opposite side of the triangle and are trying to find the length of the adjacent side. The only trig expression that contains both opposite and adjacent is tangent. The equation goes

tanX = opposite(XZ)/adjacent (YZ)

we know what X is X = 16

and we know what opposite is opposite = 7

so now the equation looks like

tan16 = 7/adjacent

and in the question it says that tan16 = 0.287 so lets plug that in

0.287 = 7/adjacent

0.287adjacent = 7

adjacent = 7/0.287

adjacent = 24.4

YZ = 24.4

Answer:

A) $1.25

Step-by-step explanation:

If you divide the 3.87 by 3.05 you will approximately get 1.25

Answer:

The volume of the slat-sand mixture is [tex]157000\ \text{feet}^3[/tex].

Step-by-step explanation:

We have,

Diameter of a cone-shaped mound is 100 feet

Height of a cone-shaped mound is 60 feet

It is required to find the volume of the salt-sand mixture. The volume of a salt-sand mixture which is in the shape of cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

r is radius of cone, r = 50 feet

So,

[tex]V=\dfrac{1}{3}\times 3.14\times (50)^2\times 60\\\\V=157000\ \text{feet}^3[/tex]

So, the volume of the slat-sand mixture is [tex]157000\ \text{feet}^3[/tex].

Answer: 1.35 miles

Step-by-step explanation:

9/10th of quarter mile = 9/40

For 6 days

9/40 x 6 = 27/20 = 1.35 miles

Answer:

105.4

Step-by-step explanation:

I got the answer wrong when I answered 95 for some reason and it told me. the answer was 105.4

The surface area is 105.4 square centimeters.

A surface area formula is a mathematical approach to discovering the total place of any 3-dimensional object occupied by means of all of its surfaces.

The surface area is the overall location blanketed by way of all of the faces of a 3-d item. For an instance, if we need to discover the quantity of paint required to paint a dice, then the surface on which the paint can be carried out is its floor place. it is continually measured in rectangular units.

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Answer:

Fill in the long -5/2 on the number line and draw a ray extending to the left

Step-by-step explanation:

Answer:

18 x, 36y.

Step-by-step explanation:

18x, 36y.

The ratio of x to y is 1 to 2. What is the value of x if y=4x-36?

So y: 2x (since its double the x)

So

2x = 4x - 36

Doing the math....

18x. since y= 2*x, 36y.

(I got help for this one, credits to jess :) )

hope this helps! :)

The value of X is 18.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

The ratio of X and Y = 1 : 2

This means,

X/Y = 1/2

X = x

Y= 2x

Now,

y = 4x - 36

From (2),

2x = 4x - 36

36 = 4x - 2x

36 = 2x

x = 18

Now,

From (1),

X = x = 18

Thus,

The value of X is 18.

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Answer:

The answer is 6.28.

Step-by-step explanation:

The formula for finding the circumference is C=2 times 3.14 times the radius of the circle. 3.14 times 2 equals 6.28 times the radius which is 1 feet (because half of 2 feet equals 1 feet). 6.28 times 1 equals 6.28.

Answer:

zonas urbanas =>  30  % de la poblacion => 700 millones

poblacion total =>  100 % de la poblacion =>   x      =>  2333.3 millones

poblacion rural => 70% de la poblacion => x - 700  => 1633.33 millones

[tex]x = \frac{700 \times100}{30} =2333.3[/tex]

[tex]x-700=2333.3-700=1633.33\\[/tex]