Practice working with interior angles of a triangle. Manipulate the triangle so angle A measures 14° and angle B measures 62°. Which statement is true about angle C? The angle is acute. The angle does not make a straight line with the other two. The angle is obtuse. The angle is a right angle.

Answer:

exterior angle: 22.5°, interior angle: 157.5°

Step-by-step explanation:

the formula for the measure of each Interior Angle in a regular polygon: [tex]\frac{180(n-2)}{n}[/tex], n = # of sides

=> [tex]\frac{180(16 - 2)}{16}[/tex] = 157.5°

the formula for the measure of each Exterior Angle in a regular polygon: [tex]\frac{360}{n}[/tex]

=> [tex]\frac{360}{16}[/tex] = 22.5°

Even numbers are 2,4,6,8,10 :) ✨

Answer:

Any number that can be exactly divided by 2 is called as an even number. Even numbers always end up with the last digit as 0, 2, 4, 6 or 8. Some examples of even numbers are 2, 4, 6, 8, 10, 12, 14, 16.

Answer:

(6)=120°

(10)=72°

(20)=36°

Step-by-step explanation:

(n-2)×180°

(6-2)×180°=720°

6÷720°=120°

10÷720°=72°

20÷720°=36°

Answer:

5 cups

Step-by-step explanation:

To do this simply, we can just count up how many cups we can buy.

starting balance=

$12.50

after cup 1=

12.5−2.5=$10.00

after cup 2=

10−2.5=$7.50

after cup 3=

7.5−2.5=$5.00

after cup 4=

5−2.5=$2.50

after cup 5=

2.5−2.5=$0.00

From this, we can see that after buying the 5th

cup, the buyer is out of money, so that means that you can buy

5 cups of food to feed the animals before running out of money.

The number of cups is 2 cups

The equation is y = 2x + 10 where the slope of the equation x is the number of cups and y is the total amount

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the total number of cups be = x

The total amount y = $ 14

The cost of entering the zoo = $ 10

The cost of of feeding the animals per cup = $ 2

So , the equation will be

Total amount y = cost of entering the zoo + ( total number of cups x cost of of feeding the animals per cup )

Substituting the values in the equation , we get

y = 2x + 10   be equation (1)

On simplifying the equation , we get

14 = 2x + 10

Subtracting 10 on both sides of the equation , we get

2x = 4

Divide by 2 on both sides of the equation , we get

x = 2 cups

Therefore , the value of x is 2 cups

Hence , the number of cups is 2 cups

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Answer:

42

Step-by-step explanation:

as there two equal numbers of both 21 and 2 then the outcome will be just 21×2=42

Answer:

Hey!

Hope this helps you!

:)

Answer:

(x+4)^2 + (y+2)^2 = 5

Explanation:

Using the midpoint formula, we find that the center of the circle is (-4, -2). We also calculate using the distance formula that between the two points is [tex]\sqrt{2\\0}[/tex]or [tex]2\sqrt{5\\\\}[/tex].

Because we found the diameter, to find the radius we divide by two, getting [tex]\sqrt{5\\\\}[/tex].

Now that we have the center, (-4, -2), and the distance from the center to the radius, we can put the information into the circle equation:

(x-h)^2 + (y-k)^2 = r^2

This becomes:

(x+4)^2 + (y+2)^2 = 5

Answer:

Step-by-step explanation:

(x-(-4))^2+(y-(-2))^2=5

since 2 negatives equal a positive, - -4 = +4

same thing for -2

(x+4)^2+(y+2)^2=5

Step-by-step explanation:

by basic proportionality therom

x/33=14/20

20×x=14×33

20x=462

x=462/20

x=23.1

The value of x from the triangle is x = 22.1

What are similar triangles?

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the triangle be ABC and ADE

The triangles ΔABC ≅ ΔADE

Now , Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

So , the ratio of the sides will be

AD / AB = AE / AC

Substituting the values in the equation , we get

14 / 20 = x / 33

Multiply by 33 on both sides of the equation , we get

The value of x = ( 14 x 33 ) / 20

The value of x = 462 / 20

The value of x = 23.1

Therefore , the value of x is 23.1

Hence , The value of x from the triangle is x = 22.1

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Answer:

Step-by-step explanation:

Answer:

I don't know spanish but 25% of 80= 20 and 15% of 35.00 is 5.25

Answer:

3n^2(n−7)^2

Hope this helps you a lot!!!! Also sorry I dont have work its hard to explain on a computer.

Answer:

Y= X - 31.5

Step-by-step explanation:

find the gradient then the equation

Answer:

y-3 = -2/15 (x-9)

Step-by-step explanation:

First, we should find the gradient, m, which is [tex]\frac{rise (change.in.the.y.value)}{run (change.in.the.x.value)}[/tex]

This is [tex]\frac{3-5}{9-(-6)} =-\frac{2}{15}[/tex]

A linear (straight) line has a general equation y=mx+c

y = [tex]-\frac{2}{15\\}[/tex]x+c

We can rewrite the equation into the general form:

y-y1 = m(x-x1)

where y1 is the value of a y coordinate and x1 is the x value of the coordinate that the y1 value was taken from.

This stems from the idea that 0 = 0.

To make that equation true, we can make both sides equal to 0.

To do that, y - y1 has to be - and x-x1 has to be zero. m can be ignored as anything multiplied by 0 is 0.

Up until here, y1 and x1 are arbitrary constants. They are values that we have to find. However, we don't actually. We have coordinates that the x and y will equal to. (9,3)

Because 9 - 9 = 0 and 3 - 3 = 0, we can state that the value of y1 is 3 and x1 is 9.

Hence, the equation is y-3 = -2/15 (x-9)

You can rearrange the equation to make it into the form y = mx + c, but this is usually not necessary.

I hope this helped.  

Answer:

Step-by-step explanation:

6g - 8 - 8g - 3

-2g - 11

Answer:

-2g - 11

Step-by-step explanation:

2(3g - 4) - (8g + 3)

Use the distributive property to multiply 2 by 3g - 4.

6g + 2(-4) - (8g + 3)

6g - 8 - (8g + 3)

Find the opposite of 8g + 3.

6g - 8 - 8g - 3

Combine like terms.

-2g - 8 - 3

Subtract 3 from -8 to get -11.

-2g + 11

The expression equivalent to 2(3g - 4) - (8g + 3) is -2g - 11.

Answer: 45

Step-by-step explanation:

110+25 is 135 180 minus 135 is 45

Answer:

B part

Step-by-step explanation:

Answer attached .....

Hope it helps ^_^

Answer:

The answer is "Hot dog buns".

Step-by-step explanation:

In the given scenario, it increased the hot dog prices result in a reduction in hot dog bun production. Complementary products are hot dogs including hot dog buns. Therefore the curve of demand is moving to the left. Please find the image file in attached.

Answer:

17.4cm

Step-by-step explanation

17) In a triangle ABC, BC=8cm, AC=12cm and angle ABC=120

To get the length of AB, we will use the cosine rule

AB² = BC² + AC² - 2(BC)(AC) cos <ABC

AB² = 8² + 12² - 2(8)(12) cos 120

AB² = 64 + 144 - 192cos12

AB² = 208 - (-96)

AB² = 208 +96

AB² = 208 - (-96)

AB² = 304

AB² = 17.4cm

Hence the length of AB is 17.4cm

Answer:

A) They will pay more with the new price plan than the current one.

B) The new price plan is cheaper for 7 games.

Step-by-step explanation:

Current price charges;

$3 to rent shoes

$4 per game

New price plan;

$11 to rent shoes

$2 per game

A) If a customer rents shoes and plays 2 games;

At current price;

Cost = 3 + 4(2) = $11

At new price plan;

Cost = 11 + 2(2) = $15

Thus, they will pay more with the new price plan than the current one.

B) Customer bowls 7 games;

At current price;

Cost = 3 + 4(7) = $31

At new price plan;

Cost = 11 + 2(7) = $25

Thus, the new price plan is cheaper for 7 games.

Answer:

D) (-2, -9)

Step-by-step explanation:

X( -11, 8)

M(-6.5, -0.5)

-11 - (-6.5) = -11 + 6.5 = -4.5

8 - (-0.5) = 8 + 0.5 = 8.5

To get from Midpoint to endpoint:

(x , y) → (x - 4.5, y + 8.5)

Y endpoint:

M(-6.5, -0.5) → (-6.5 + 4.5, -0.5 - 8.5)

Y( -2, -9)

Answer:

8 - (2/x

hope it is helpful

Answer:

J = 1

Step-by-step explanation:

-7 + 5(1) = 8(1) - 10

-7 + 5 = 8 - 10

-2 = -2

j=1

Answer:

d

Step-by-step explanation:

Answer:

[tex]12+3\sqrt{5}[/tex]

Step-by-step explanation:

[tex](\frac{33}{4-\sqrt{5}})(\frac{4+\sqrt{5}}{4+\sqrt{5}})=\frac{132+33\sqrt{5}}{16-5}=\frac{11(12+3\sqrt{5})}{11}=12+3\sqrt{5}[/tex]

Answer:

Possible answer: 5a/ -6

Step-by-step explanation:

Not 100% sure to be honest.

Step-by-step explanation:

Here is your answer in the attachment.

Hope it helps :)

Answer: Nazim have to pay $35 for 20 slices of pizza.

Monthly cost for x slices =  5+1.5x

Step-by-step explanation:

Let x = number of slices

As per given,

Total monthly cost for x slices = (membership cost) +(discounted price) ×(x)

i.e. Total monthly cost for x slices = 5+1.5x

If x=20

Then, Nazim have to pay = 5+1.5(20)

= 5+30= $35

i..e Nazim have to pay $35 for 20 slices of pizza.

Monthly cost for x slices =  5+1.5x

Answer:

A= (-1.5, 1)

B= (0.5, -2)

C= (-1, -1.5)

D= (1, 1.5)

Answer:

9.91%

Step-by-step explanation:

cost price= 400

selling price=444

profit made= 444-400

= 44

profit percentage= 44/444 ×100

=9.91%

Answer:

30 pieces.

Step-by-step explanation:

According to the word problem, Alex wants to cut all six of his candy bars into fifths.

5/5 = one whole candy bar.

If there will 5 pieces for every candy bar, we can multiply 5 by 6.

5 x 6 = 30.

There will be 30 of the 1/5 size pieces.