Try and challenge yourself with this question!

The sum of the angles in the triangle must be equals to 180 degrees for it to be the angle measure of a triangle.

The sum of angles in a triangle is equals to 180 degrees.

Therefore, adding up the three angles in a triangle must be equals to 180 degrees.

Hence,

42 + 34 + 56 = 132 degrees

This does not form a triangle.

35 + 80 + 65 = 180 degrees

This can be the angle measure of a triangle.

15 + 51 + 24 = 90 degrees

This cannot be the angle measure of a triangle.

18 + 42 + 120  = 180

This can be the angle measure of a triangle.

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Answer:

YZ is 3.26

x is 27 degrees

Step-by-step explanation:

to get YZ

its square root of (5.8^2 - 4.8^2)

to get the value of angle x

soh cah toa to get angle x

soh

opposite divided by hypotenuse

3.26 divided by 5.8 = .56206896551

sin-1(.56)= 26.9991321667655

https://www.mathsisfun.com/algebra/trig-finding-angle-right-triangle.html

https://www.mathopenref.com › cosine

brianmclogan

Learn to find the missing angles for a triangle using inverse trig functions

Answer:

A) $4 for each $1 bet

Step-by-step explanation:

For example, 3:2 would be $3 for each $2 bet.

It's A!

Answer:

5/33

Step-by-step explanation:

Probability of first caller (comedy) = 5/(3+4+5) = 5/12

Probability of second caller (action) = 4/(3+4+4) = 4/11

Probability of both = 5/12 * 4/11 = 5/33

Answer:

I got 5-20

Step-by-step explanation:

Answer:

the answer is 67 square inches.

Answer:

Area = 67 sq in

Step-by-step explanation:

To solve this is quite easy, we'll first divide the shape into 3 separate shapes, that being 2 rectangles and a triangle.

Triangle:

A=AB/2

A=6*4/2

A=12

Large Rectangle:

(please note that by looking at the size of other shapes we can use their size to justify this shapes size!)

A=AB

A=5*9

A=45

Small Rectangle:

A=AB

A=2*5

A=10

Now we simply add all of our areas together which gives us a total of 67!

Hope this helps! -SC

(Let me know if the answer is wrong so I can change my response and help others!)

Step-by-step explanation:

each combination of 2 specific numbers has the same probability. there is no difference in probability between the individual numbers.

remember, a probability is always desired cases over all possible cases.

we have 4 different possible outcomes every time we spin the spinner.

to get a specific number has the probability of 1/4, because we want 1 specific outcome, and have in total 4 different possibilities.

now, we spin a second time. the probability to get a specific number is again 1/4.

but, if we consider both events to be connected, when we want to know the probability to get 2 specific numbers when spinning twice, we have to multiply the individual probabilities :

1/4 × 1/4 = 1/16

so, the probability to land first on a 5, and then secondly on a 2 is 1/16.

the same as for landing first on a 3, and then on a 5.

the same as for landing first on a 4, and then on a 4 (again).

that is because the individual spin results are independent. the result of the first spin does not impact in any way the result of the second spin (in contrary to e.g. pulling multiple cards without returning the previously pulled cards).

Answer:

16.8 is the answer to this question.

Answer:

33.6

Step-by-step explanation:

Its area = base * height = 8 * 4.2 = 33.6

Answer:

Perimeter = 34 cm

Area = 60 [tex]cm^{2}[/tex]

Step-by-step explanation:

The equation to find the perimeter of a rectangle is:

P = 2(l + w)

l = length

w = width

To find the length we have to use Pythagorean Theorem:

[tex]a^{2} + b^{2} = c^{2}[/tex]

a = 12 cm

b = ?

c = 13 cm

Plug in and solve for b:

[tex](12^{2})+b^{2} = (13^{2})[/tex]

[tex]144 + b^{2} = 169[/tex]                        Distribute the squares

[tex]b^{2} = 25[/tex]                                   Subtract 144 from 169

[tex]\sqrt{b^{2} } =\sqrt{25}[/tex]                             Square root both sides

b = 5 cm

Now that we have found the length, and we know the width, we can find the perimeter:

P = 2(12 + 5) = 2(17) = 34

The perimeter of the rectangle is 34 cm.

To find the area use this equation:

A = lw

Plug in the values for length and width and solve:

A = (5 cm)(12 cm)

A = 60 [tex]cm^{2}[/tex]

The area of the rectangle is 60 [tex]cm^{2}[/tex].

Hope this helps!!

Step-by-step explanation:

the scale factor of similar objects apply to every line and side length.

we see here the ratio of small side length to large side length is 3/9 = 1/3.

so the small side length is 1/3 if the large side length.

a surface is airways the multiplication of 2 dimensions. so, the scale factor is to be used twice in this multiplication and therefore squares.

so, small surface to large surface is 1/3 × 1/3 = 1/9.

and a volume is airways the result of a multiplication of 3 dimensions. so, the scale factor is then 3 times in that multiplication and is therefore cubed.

so, small volume to large volume is 1/3 × 1/3 × 1/3 = 1/27

Answer:

Step-by-step explanation:

[tex]\sf \text{Quotient of y and 8 = $\dfrac{y}{8}$}[/tex]

  [tex]\sf \text{Two more than $\dfrac{y}{8}$ = $\dfrac{y}{8}+2$}[/tex]

          [tex]\sf \dfrac{y}{8}+2=7\\\\\text{Subtract 2 from both sides}\\\\[/tex]

         [tex]\dfrac{y}{8}+2-2=7-2\\\\[/tex]

                   [tex]\dfrac{y}{8}=5\\[/tex]

        Now, multiply both sides by 8

                  [tex]8*\dfrac{y}{8}=5*8\\[/tex]

Answer:

9

If you need any other help, please let me know!:) [ you'll have to pay ]

Answer:

( 0 , -7 ) , (5 , -7 ) , (1 , -5 )

Answer: [tex]x=4[/tex]

Step-by-step explanation:

[tex]2x-7+x=5[/tex]

Group like terms:

[tex]\left(2x+x\right)-7=5[/tex]

Simplify the arithmetic:

[tex]3x-7=5[/tex]

Add 7 to both sides:

[tex]3x-7+7=5+7[/tex]

Simplify the arithmetic:

[tex]3x=5+7[/tex]

Simplify the arithmetic:

[tex]3x=12[/tex]

Divide both sides by 3:

[tex]\frac{3x}{3}=\frac{12}{3}[/tex]

Simplify the fraction:

[tex]x=\frac{12}{3}[/tex]

Find the greatest common factor of the numerator and denominator:

[tex]x=\frac{4\cdot 3}{1\cdot 3}[/tex]

Factor out and cancel the greatest common factor and the answer will be:

[tex]x=4[/tex]

The approximate space required to store the bales is 4.6 cubic meters if the bale has a diameter of 1.5 m and a height of 2.6 m.

In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We know the volume of the cylinder is given by:

[tex]\rm V = \pi r^2 h[/tex]

We know the radius will be half of the diameter:

r = 1.5/2 = 0.75 m

h = 2.6 m

V = π(0.75)²(2.6)

V = 4.59 ≈ 4.6 cubic meters

Thus, the approximate space required to store the bales is 4.6 cubic meters if the bale has a diameter of 1.5 m and a height of 2.6 m.

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Answer:

29 center (3,-5) radius=2

30 center (0,0) radius=2/3

The number of tourists that only visited the Universal Studios is: 367.

Universal set W of 1007 tourists

Subsets

M of 266 tourists;

L of 282 tourists;

Their in-pairs intersections

ML of 50 tourists;

MU of 59 tourists

LU of 89 tourists

Their triple intersection

MLU of 17 tourists.

Number of tourists who visited only Universal studio

n(M U L U U) = m(M) + n(L) + n(U) - n(M ∩ L) - n(M ∩ U) - n(L ∩ U) + n(M ∩ L ∩ U)

n(M U L U U)= 266 + 282 - 50 - 59 - 89+ 17

n(M U L U U)= 367

Therefore the number of tourists that only visited the Universal Studios is: 367.

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The value of variable x of the provided equation is equal to the fraction number 1/3.

The solution of an equation is the value of the variable of the equation, for which the equation is satisfied.

To solve an equation for its variable, isolate the variable on one side of the equation using the mathematical operations.

The given expression is:

[tex]2x + \dfrac{6}{3}x-9 + \dfrac{1}{3} = x+\dfrac{6}{3}x-9[/tex]

The equation has been solved for x. Cancel out the terms appears in both sides of the equation and has similar sign.

[tex]2x + \dfrac{6}{3}x-9 + \dfrac{1}{3} = x+\dfrac{6}{3}x-9\\2x + \dfrac{1}{3} = x[/tex]

Take the variable one side of the equation and constants other side of it.

[tex]2x-x=\dfrac{1}{3}\\x=\dfrac{1}{3}[/tex]

Thus, the value of variable x of the provided equation is equal to the fraction number 1/3.

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Answer:

d> -7

Step-by-step explanation:

If his goal is to have more by the end of the month and he did, D would be greater (I also had this question and got it correct.)

The coordinate of the point given in the Cartesian plane be ( -9, +5).

The coordinates lies in II- quadrant of the Cartesian plane.

A Cartesian plane is defined by two perpendicular number lines: the x-axis, which is horizontal, and the y-axis, which is vertical. Using these axes, we can describe any point in the plane using an ordered pair of numbers.

As per the graph,

the x- coordinate i.e., abscissa = -9

the y- coordinate i.e., ordinate = +5

Since the x- coordinate is negative and  y- coordinate is positive.

Thus the coordinate of the (-x, +y)  lies in II Quadrant.

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In order to make the question true the length should be 45cm not 4.5 cm , Solving accordingly

The equation is

As 45 is base amount we used it as y intercect

This means that the length of the scarf after x nights can be represented by the equation y = 4.5 + 5x.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

To create an equation that shows the relationship between the number of nights Madelyn spends knitting, x, and the length of the scarf in centimeters, y, we need to consider the information given.

We know that the scarf is currently 4.5 centimeters long, and Madelyn plans to add 5 centimeters per night.

This means that the length of the scarf after x nights can be represented by the equation:

y = 4.5 + 5x

In this equation,

x represents the number of nights Madelyn spends knitting and y represents the length of the scarf in centimeters after x nights.

Thus,

The initial length of the scarf, 4.5 centimeters, is added to the length of the scarf Madelyn knits in x nights, which is represented by the product of 5 and x.

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Using the percentage concept, it is found that the correct option is given by:

There is a positive association because the percentage of residents living in a house that have a dog is greater than the percentage of all residents who have a dog.

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

Of the 38 people in houses, 17 have dogs, hence the percentage is given by:

pH = 17/38 = 44.74%.

Out of all residents, the percentage is given by:

pA = 21/66 = 31.82%.

The percentage in houses is considerably greater than for all residents, hence the statement that explains the positive association is given by:

There is a positive association because the percentage of residents living in a house that have a dog is greater than the percentage of all residents who have a dog.

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Answer:

2250mm

Step-by-step explanation:

first half the length is going to remain the same while the width changes so we divide the width by 2 to find half the width which is 25 then we say 25 × 90 = 2250

Answer:

D. X =0 and x=6

Step-by-step explanation:

Because it is where the line intercepts with the x -axis and it isn’t where the line touches the y axis

Step-by-step explanation:

that is a tiny, tiny backyard ...

what I see immediately is that the area is a combination of multiple simple figures :

1 square on top,

1 smaller rectangle in the middle,

1 larger rectangle at the bottom.

we only need to calculate the areas of all 3 figures and then add then up for the total.

that's it.

the top square is easy :

it is a 3cm×3cm square, so the area is 9 cm²

the bottom rectangle is also easy :

it is a 10cm×3cm rectangle, so the area is 30 cm²

for the dimensions of the middle rectangle we need to think a little bit :

the width (or "height") is clear : 3 cm.

what is the length ?

the answer is given by some other pieces of information in the diagram. look closely : is the length of the middle rectangle not the same as the sum of the side length of the top square (3 cm) and the top side segment left of the top square : 2 cm ?

yes, it is, so the length is 3+2 = 5 cm.

and the middle rectangle is 5×3 = 15 cm².

so, the total area is

9 + 30 + 15 = 54 cm²

this is a backyard for Barbie and Ken ...

Amount of grass in the backyard is 0.641 square yards    

Any 2-dimensional figure bounded by 4 sides whose all sides are equal and all the angles are 90° is called a square.

Area of a square can be found by squaring the length of one of its sides.

Any 2-dimensional figure bounded by 4 sides whose opposites sides are equal and parallel and all the angles are 90° is called a rectangle.

Area of a rectangle can be found by multiplying its length by its breadth.

The given figure is a combination of multiple figures.

∴ Total area of the backyard = ( 9 + 15 + 30) cm² = 54 cm²

Amount of grass in the backyard = (54 x 0.109² ) square yards

                = 0.641 square yards               ( 1 cm = 0.109 yards)

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Answer:

a for the first part next is c edg2020

Step-by-step explanation:

Answer:

A & C

Step-by-step explanation:

Edge 2022 :)

hope you have a good day you can do thisssss!!!

Answer:

  $47,039

Step-by-step explanation:

The time-value-of-money (TVM) functions of a calculator or spreadsheet can be used to find the present value of a series of $600 payments, discounted at 5.2% compounded monthly. (See the attachment for an example.) The present value is found to be about $47,039.

The owner can afford to borrow up to $47,039.

__

This can be figured "by hand" using the amortization formula.

  A = P(r/12)/(1 -(1 +r/12)^(-12·t))

A is the payment on a loan of principal P at annual rate r for t years, compounded monthly.

Solving for P, we have ...

  P = 12A(1 -(1 +r/12)^(-12t))/r = 12·600(1 -(1 +0.052/12)^-96)/0.052

  P ≈ 47039.0653

The owner can borrow up to $47,039.

Answer:

The slope of the line is 2.

Step-by-step explanation:

The formula for slope is (y₂-y₁)/(x₂-x₁)

(7-(-1))/(8-4)

7 - -1 = 8

8 - 4 = 4

8/4 = 2

Answer:

m=2

Step-by-step explanation:

m=y2-y1/x2-x1

m=7-(-1) / 8-4

m=8/4

m=2