Find the perimeter of a triangle with side lengths: (y + 5) ft, (3y + 5) ft, and (4y - 3) ft.

The angle measure of x is 115°.

A parallelogram is a four-sided shape with two sets of parallel sides, which means that opposite sides are both parallel and have equal length. Parallelograms also have opposite angles with the same measure, and their diagonals intersect at the midpoint and bisect each other. This results in the parallelogram being divided into two triangles that are congruent. Examples of parallelograms include rectangles, squares, and rhombuses, and they are commonly used in both geometry and everyday life, particularly in the design of buildings and other structures.

We can call this figure ACDEF. Let us join CB.

Now we can see that BDEF is a parallelogram. Opposite angles of a parallelogram are equal, hence ∠DBF = ∠DEF = x°

And also consider the triangle ABC,

∠BAC = 50°

∠ABC = 180 - ∠DBF = 180° - x° (linear pair)

∠ACB = 180 - ∠ACD = 180° - x° (linear pair)

We know that all the angles of a triangle adds up to 180°.

Using this we can find x°:

∠BAC + ∠ABC + ∠ACB = 180°

50° + 180° - x° + 180° - x° = 180°

-2x° + 410 = 180°

-2x° = 180° - 410° = -230°

x° = -230/ -2

x ° = 115°

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The length of the hypotenuse is 7m.

Let the side opposite to 30° be the shortest leg.

The side opposite to 60° is the longest leg.

So, the side opposite to 90° is hypotenuse.

Length of the shortest side is x.

Length of longest side is \(\sqrt{3}x\)

Length of the hypotenuse is 2x.

We know x = 7

So, \(\sqrt{3}(x)=\sqrt{3}(7)\)

Thus, the length of the longer leg is \(\sqrt{3}(7)\) m

Length of hypotenuse = 2x = 2(7) = 14m

\(x^{2} +(\sqrt{3} x)^2 =(2x)^2\\\\(7)^2+(\sqrt{3} (7))^2=(2x)^2\\\\49 + (3(49)) = (2x)^2\\\\49 + 147= (2x)^2\\\\(2x)^2=196\)

Taking square root on both sides:

\(2x = \sqrt{196}\)

2x = 14

x = 7

Therefore, the length of the hypotenuse is 7m.

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Answer:

fight to the death

Step-by-step explanation:

this solves everything

Answer:

The experiment shows the frequency of results derived from tossing a coin

The tree is approximately 12 feet tall to the nearest tenth of a foot.

We have,

To find the height of the tree, we can set up a proportion using the measurements of the shadow.

Since we know that Tyler is 6 feet tall and his shadow is 10 ½ feet long, we can set up the following expression:

Tyler's height / Tyler's shadow length = Tree's height / Tree's shadow length

6 feet / 10.5 feet = Tree's height / 21 feet

To find the tree's height, we can cross-multiply and solve for it:

6 feet x 21 feet = 10.5 feet x Tree's height

126 feet = 10.5 feet x Tree's height

Dividing both sides of the expression by 10.5 feet:

126 feet / 10.5 feet = Tree's height

12 feet = Tree's height

Therefore,

The tree is approximately 12 feet tall to the nearest tenth of a foot.

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260 pairs

Step-by-step explanation:

220-100= 120

(29200+2000)÷120= 260

Answer:

$42.09

Step-by-step explanation:

Total cost = 3.45*12.2 = $42.09

Answer:

Hello! answer: $42.09

Step-by-step explanation:

All I did was multiply the numbers together! so...

12.2 × 3.45 = 42.09 so Jenny spends 42.09 on gas HOPE THAT HELPS!

Answer:

Some vocabulary we should know:

mx = slope while b is the y-intercept.

-3x = x

6y = y

BRAINLIEST is APPRECIATED. This is based on speculation! Good luck in your future studies.

- daintysword

Given the breadth of the bag is 12 cm and the length is 18 cm, and the assumed height is 6cm, t​he volume of the cooler bag is 1296 ml.

The volume of the cooler bag is determined using the formula;

Volume = length * breadth * height

Data given:

breadth = 12 cm

length = 18 cm

height = ?

The height is not given, therefore, an assumed height of 6 cm is used in the calculation.

Converting the measurements to millimeters:

Breadth = 12 cm * 10 mm/cm = 120 mm

Length = 18 cm * 10 mm/cm = 180 mm

Height = 6 cm * 10 mm/cm = 60 mm

Now, we calculate the volume of the cooler bag:

Volume = 180 mm * 120 mm * 60 mm

Volume = 1,296,000 mm³

To convert the volume from cubic millimeters to milliliters, we divide by 1,000

Volume = 1,296,000 mm³ / 1,000

Volume of cooler bag = 1296 ml

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Answer:exponential

Step-by-step explanation:

Edge 2021

Answer:

exponential graph :)

Step-by-step explanation:

Answer:

12 people are need to walk 24 dogs

Step-by-step explanation:

12/2=6

24/2=12

Answer:

12 people can walk 24 dogs.

Step-by-step explanation:

Given information,

→ 6 people can walk 12 dogs.

→ People required for 24 dogs = ?

Let us assume that,

→ Missing value = p

Forming the equation,

→ 6/12 = p/24

Then the value of p will be,

→ 6/12 = p/24

→ p/24 = 6/12

→ p × 12 = 6 × 24

→ 12p = 144

→ p = 144/12

→ [ p = 12 ]

Hence, the value of p is 12.

Answer:

Volume of a cone = ⅓volume of a cylinder

Answer:

1/4 : 3 = 0.75

0.75 = 3,4

So B is the correct answer.

The slope of the line that is perpendicular to the line y = - 1x +5 is -1.

The ratio of how much y grows as x grows by a certain amount is known as a line's slope. The slope of a line indicates how steep it is, or how much y rises as x rises. Anywhere along the line, the slope remains constant (the same).

Given:

The equation of the line, y = -x + 5

The slope of the line can be calculated by the intercept form,

so m = -1, Here, m is the slope.

The slope of the perpendicular line will be the opposite

So, M = -1

Therefore, the slope of the line that is perpendicular to the line y = - 1x +5 is -1.

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Answer:

57

Step-by-step explanation:

57-12=45. Simple subtraction/addition

42 = 7*6

so,

7:9 = 7*6 : 9*6 = 42:54

Answer:the slant height of the triangular pyramid is approximately 11.4132 centimeters.

Answer:

1.1000

2.3/4

3.f(x)=1000(1/4)^X

Step-by-step explanation:

The final price of an item is calculated by adding the original price and the taxes.

Let "x" represent the original price of the item.

To calculate how much is the tax, you have to calculate the 8% of the original price, to do so you have to multiply the original price by 0.08, then we can symbolize the tax as "0.08x"

The final price of the shirt is $53.95, as mentioned before this price was obtained by adding the original price "x" and the tax "0.08x" so that:

From this expression, we can calculate the value of x, the first step is to add both like terms together. Remember that the coefficient of "x", although not written, is 1, so what you have to do is add both coefficients 1 and 0.08:

Then divide both sides of the equation by 1.08 to determine the value of x:

The shirt's original price is $49.95

Answer:

Step-by-step

= 2 ( 1 8 − ) − 1 3 -13=2(18-k)-138 + 6 − 1 3

= 2 ( 1 8 − ) − 1 3

The number of seniors that are on academic watch than freshman will be 868.

A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.

In this case, since there are there are 2435 seniors and 1567 freshmen on academic watch. The number of seniors that are on academic watch than freshman will be:

= 2435 - 1567

= 868

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Complete question

In a school, there are 2435 seniors and 12567 freshmen on academic watch. How many more seniors are on academic watch than freshman

Answer:

B. 78

Step-by-step explanation:

2n + 1 = 157

2n = 156

n = 78

The probability she pulls out a purple piece of candy would be 0.22.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is Sam's fathers collection.

We can write the equations for upstream and downstream as -

x - y = 7/2

x + y = 21/10

Solving the equations graphically -

{x} = 2.8

{y} = 0.7
In still water, the speed would be -

S = 3 - 0.7

S = 2.3 Km/h

Distance peddled upstream -

D = 2.8 x 3.5 = 9.8 Km

Therefore, the speed in still water would be 2.3 Km/h and the distance peddled upstream would be 9.8 Km.

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Answer:

45.3 megabytes

Step-by-step explanation:

242 x 18.7%

= 242 x 0.187 = 45.254 = 45.3 megabytes

Answer:

Infinitely many solutions.

Step-by-step explanation:

Any value of X makes the statement true, meaning the solution is all real numbers.

The answer is explained below.

In order to be considered a language, a system of communication must have vocabulary, grammar, syntax, and people who use and understand it. Mathematics meets this definition of a language. Linguists who don't consider math a language cite its use as a written rather than spoken form of communication.

Mathematics is pure language - the language of science. It is unique among languages in its ability to provide precise expression for every thought or concept that can be formulated in its terms. In a spoken language, there exist words, like "happiness", that defy definition.

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Answer:

x- intercept = - 8 , y- intercept = 4

Step-by-step explanation:

to find the x- intercept let y = 0 in the equation and solve for x

x - 2(0) = - 8

x - 0 = - 8

x = - 8 ← y- intercept

to find the y- intercept let x = 0 in the equation and solve for y

0 - 2y = - 8

- 2y = - 8 ( divide both sides by - 2 )

y = 4 ← y- intercept

Answer:13

Step-by-step explanation:

13 burger each person should get 13

Answer  9  remainder  4

Step-by-step explanation:

hope this is right ;0