Geometry - Isosceles & Equilateral triangles

Solve for x *

The length of the hypotenuse is 30 ft and this can be determined by using the Pythagorean theorem.

Given :

The legs of an isosceles right triangle have a length of [tex]15\sqrt{2}[/tex] ft.

The following steps can be used in order to determine the length of the hypotenuse:

Step 1 - The Pythagorean theorem can be used in order to determine the length of the hypotenuse.

Step 2 - According to the given data, the legs of an isosceles right triangle have a length of [tex]15\sqrt{2}[/tex] ft.

Step 3 - So, the length of the hypotenuse is calculated as:

[tex]H^2 = 2\times (15\sqrt{2} )^2[/tex]

Step 4 - Simplify the above expression.

[tex]H =30\;{\rm ft}[/tex]

Therefore, the correct option is D).

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Answer:

d

Step-by-step explanation:

Step-by-step explanation:

5pounds=9 jars

? =24 jars

Then you cross multiply /work it out as

And your final answer will be

13 1/3 pounds

Answer:

min{5 x^2 - 20 x + 3} = -17 at x = 2

Step-by-step explanation: here's the graph

Answer:

1.25 customers / minute

Step-by-step explanation:

To find the unit rate of how many customers came in per 1 minute, just do 15/12 = 1.25

x=8

Explanation:

the opposite side is 72, which means I have to make 9x end up equaling 72.

72÷9

////

72/9

=8

9×8=72

Therefore

the value of x is 8.

Answer:

The answer is 26,700,000

Answer:

x = y1 x x1/ y2 x2

Step-by-step explanation:

Answer:

4(n-8)

Step-by-step explanation:

4(n-8)

I think it'd be written like this

The value of b Lois gave to Clark to satisfy the given equation is -7.

The given parameters;

2x + 7 - x = 4x + 2b – 3x - 3b

To obtain the value of b, simplify the equation as follows;

2x + 7 - x = 4x + 2b – 3x - 3b

collect similar terms together

(2x - x) + 7 = (4x - 3x) + (2b - 3b)

x + 7 = x - b

(x - x) + 7 = -b

0 + 7 = -b

7 = -b

-7 = b

b = -7

Thus, the value of b Lois gave to Clark to satisfy the given equation is -7.

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Answer:

y=5/6x+101/6

Step-by-step explanation:

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

m=(6-16)/(-13-(-1))

m=-10/(-13+1)

m=-10/-12

simplify

m=5/6

y-y1=m(x-x1)

y-16=5/6(x-(-1))

y-16=5/6(x+1)

y-16=5/6x+5/6

y=5/6x+5/6+16

y=5/6x+5/6+96/6

y=5/6x+101/6

Given that ΔQSR and ΔTSU are similar triangles, therefore, the length of SU is: 20.

Recall:

Thus, given the figure attached below, ΔQSR and ΔTSU are similar to each other.

SR/SU = QR/TU

SR = RU + SU = 12 + SU

SU = ?

QR = 40

TU = 25

Plug in the values

[tex]\frac{12 + SU}{SU} = \frac{40}{25}[/tex]

[tex](12 + SU)25 = 40(SU)\\\\300 + 25SU = 40SU\\\\300 = 40SU - 25SU\\\\300 = 15SU\\\\\mathbf{SU = 20}[/tex]

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Answer: yes, it does fall at a constant rate. for each hour there is one inch of rainfall.

Step-by-step explanation:

if the line goes the the origin (0,0) then that means that it is a constant rate. if you look at the chart, there is number on every other line. This means that there is an odd number on the other lines. If you then go up the line for 1 hour, then you will meet at lines intersecting to get 1 inch of rainfall per hour

Answer:

(x^2-2)(x+3)

Step-by-step explanation:

x^3 + 3x^2 - 2x - 6

x^2(x+3)-2(x+3)

(x^2-2)(x+3)

Answer:

10 for 9$

Step-by-step explanation:

because say the each ball cpsts a dollar, and the total for 3 would be 3$ for the cost of 10 would be 9 so its less but more mo ey spent

x=6

Explanation:

The opposite side is 35, and the sides are still the same length, but on the side it has +5, so when you multiply 5 by 6 you'll get 30. 6×5=30

30+5=35.

Therefore,

x is going to have to be 6.

The sum of all integers which are not divisible by 5 or 9 between 1 and 100 is 3541.

To determine what is the sum of all integers which are not divisible by 5 or 9 between 1 and 100, the following calculation must be performed:

Therefore, the sum of all integers which are not divisible by 5 or 9 between 1 and 100 is 3541.

Learn more about maths in https://brainly.com/question/25942965

Answer:

8

Those little "sticks" are called absolute value.

For example, the absolute value of 2 is 2, and the absolute value of −2 is also 2. The absolute value of a number may be thought of as its distance from zero along real number line.

Thus, it doesn't matter if the number is positive or negative. As it only counts its distance from 0, on the number line.

I hope it helps.

Answer:

7.

Step-by-step explanation:

Reverse all operations. (Subtract = Add, Add = Subtract, Divide = Multiply, Multiply = Divide)

Add 7+-4 to get 3.

Multiply 8*3 to get 24.

Add 24+3 to get 27.

Divide 24/3 to get 9.

Subtract 9-2 to get 7.

Check the other way:

Add 7+2 to get 9.

Multiply 9*3 to get 27.

Subtract 27-3 to get 24.

Divide 24/8 to get 3.

Subtract 3-7 to get -4.

Answer:

even

Step-by-step explanation:

Answer: No real solution.

Step-by-step explanation:

Since the parabola never crosses the x-axis, there are no real solutions.

There are 28 days in 4 weeks.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

There are 7 days in a week, so to convert weeks to days, we multiply the number of weeks by 7. For example, if we have 2 weeks, we would multiply 2 by 7 to get 14 days.

In this case, we are given 4 weeks and asked to convert it to days. So we multiply 4 by 7 to get:

4 x 7 = 28

Therefore, there are 28 days in 4 weeks.

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#SPJ2

[tex]\huge \rm༆ Answer ༄[/tex]

Let's rearrange the terms to convert the equation into slope - intercept form ~

I hope it helps ~

Answer:

angle with the greatest measure

Step-by-step explanation:

the greater length of the triangle is always opposite from the greater angle. hope this helps :)

Answer:

2/5 is 4/10. 8/10 is 2 time greater than 2/5.

Step-by-step explanation:

4/10= 0.8, which can be written 8/10.

Make me brainlist.

Answer:

The persification of A C Square BX LFO xc83 cx>? 783fx

Step-by-step explanation:

=========================================================

Explanation:

The reference angle is 24 degrees. Opposite that angle is the side 8 units long. The horizontal portion is unknown and it's the adjacent side.

Also unknown is the value of x which is the hypotenuse.

To summarize:

The hypotenuse is always opposite the 90 degree angle.

To tie together the opposite and hypotenuse, we'll use the sine ratio

sin(angle) = opposite/hypotenuse

sin(24) = 8/x

x*sin(24) = 8

x = 8/sin(24)

x = 19.6687 approximately

x = 19.7 after rounding to the nearest tenth.

Side note: your calculator needs to be in degree mode

Answer:

He had $210.7 withheld for deductions

Step-by-step explanation:

Add his regular pay to his overtime pay

$425.50 + $60.50 = $486

After adding both his overtime and regular pay, he'd have $486. Now, take that and subtract his net pay

$486 - $275.30 = $210.7 :)