The lengths of the legs of a 45°-45°-90° triangle can be described by the expressions 4x – 12 and x + 6. What is the length of the legs of the triangle?​

Answers

Answer 1

Answer:

12

Step-by-step explanation:

Legs of 45-45-90 are equal so 4x-12=x+6.

3x=18, x=6

Plug back in and the length is 12


Related Questions

The length of two sides of a right triangle are leg: 9 m and hypotenuse: 15 m. Find the length of the third side.

Answers

Answer:

Length of Third Side = 12 m

Step-by-step explanation:

You can use the Pythagorean Theorem to solve this: a² + b² = c² or c² - b² = a² in which a and b are legs, and c is the hypotenuse. We use the second equation to solve this: 15² - 9² = a² or 225 - 81 = a². This simplifies to 144 = a². To find a specifically, find the square root of 144, 12.

Hope it helps!

Write the decimal as a percent.

20= .......?%

Answers

Answer:

20%

Step-by-step explanation:

I need help ASAP PLEASEEEEEEEE

Answers

Answer:

g has an average rate of change of zero at the intervals [-5,4] and [-2,2]

Step-by-step explanation:

When we talk of the average rate of change, we mean the change in y values divided by the change in x values

Once the change in y-values is zero, then over that interval, the average rate of change is zero

at the point t =- 5, g(t) = 6; at the point t = 4, g(t) = 6

As we can see here, within the interval [-5,4]; the average rate of change is 0

This same pattern is repetitive at points or ranges where we have same values for g(t)

such as;

[-2,2]

Will give brainliest plz help me and explain how to do it

Answers

Answer:

exact form -108/5, decimal form -21.6, and mixed number form -21 and 3/4

Find the volume. Round your answer to the nearest tenth and show your work

Answers

V= 1/3 x π x radius squared x height

V= 1/3 x π x 2 squared x 9

V= 37.699

How many square feet of outdoor campot will we need for this hole?​

Answers

Answer:

10 ft. should be the answer if I did it correctly

Step-by-step explanation:

Find the length of the arc

Answers

Answer:

23.6 or 1 4 × π × 8 = 2 π  if its not right let me know

Step-by-step explanation:

how to solve this one​

Answers

Here are the steps along with the answer.

What is the absolute value of 17.5?

Answers

Answer:

18

Step-by-step explanation:

Rounding it off to nearest 10th place . Since the decimal value is 5 it will round off to +1 , That becomes , 17 + 1 = 18

The absolute value of 17.5 is 17.5

What is the area of a semicircle that has a radius of 20 feet?

Answers

Answer:

[tex]200\pi[/tex] or 628.3185

Step-by-step explanation:

Area of a semicircle is equal to [tex]\frac{\pi r^{2}}{2}[/tex]. So, when the radius is 20, the area of the semicircle will be [tex]\frac{\pi (20)^{2} }{2} =\frac{400\pi }{2} =200\pi =628.3185[/tex].

!!20 Points and brainliest if you answer it!!
A group of students were surveyed regarding their enjoyment of country and Jazz music. 8 students enjoyed both types of music, glving a total of 32 students who enjoyed country music, and 14 who enjoyed Jazz. How many total students were questioned in this survey?

A. 54
B. 38
C. 26
D. 46​

Answers

Answer:

46

Step-by-step explanation:

Answer:

D is correct

Step-by-step explanation:

Find the point where the lines intersect: y = 3x and y = x + 16
A: (8,24)
B: (4,12)
C: (4,20)
D: (0,0)

Answers

The answer is A, using substitution you can change it to 3x = x+16 2x=16 x=8 then plug the x into the equation y=3(8) y=24 (8,24)

HELP HELP PLS
What was the outcome of the Spanish-American War?
A: The united states gained Cuba and Bahamas.
B: The united states gained the Philippines, Puerto Rico, and Guam
C: The united states gained Alaska and Hawaii
D: The united states gained Panama and Columbia

Answers

A I think if not for sure b

Find the value of x. If​ necessary, write your answer in simplest radical form. 30 x 25 x nothing ​(Simplify your answer. Type an exact​ answer, using radicals as​ needed.)

Answers

Answer:

x = 38.05

Step-by-step explanation:

Using the Pythagoras theorem to find x

x is the hypotenuse

The other sides are opposite and adjacent

x² = 30²+25²

x² = 900+625

x² = 1525

x = √1525

x = 39.05

Find the solution(s) to the system of equations. Select all that apply.
y=x²-4
y=-x-2

Answers

A and C as they both cross over eachother which determines the answer

The solution will be the intersection points thus options A (1,-3) and B (-2,0) will be correct.

What is a graph?

The graph is a geometrical representation of a function and can be plotted by taking x's and y's corresponding values within the interval.

For example plot of y = x³ ,y = sinx.

The solution will be the intersection points of both functions.

At the intersection point,

x² - 4 = -x - 2

x² + x - 2 = 0

x² + 2x - x - 2 = 0

x(x + 2) - (x + 2) = 0

(x - 1)(x + 2) = 0

x = 1,-2

At x = 1

y = -1 - 2 = -3 so first intersection is (1,-3)

At x = -2

y = -(-2) - 2 = 0 so second intersection is (-2,0)

Hence "The solution of the given system of equations is (1,-3) and (-2,0)".

To learn more about graphs,

brainly.com/question/24861666

#SPJ2

Please answer quick in test!

Answers

Answer:

The first one

Step-by-step explanation:

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April, x, slept 9 hours; Evelyn slept 2/3
less than that.
Evelyn slept _______________ hours. Write the equation as both a decimal and fraction.

Answers

Answer:

she slept for 3 hours

Step-by-step explanation:

its actually simple so we know that April slept for 9 hours bug Evelyn only slept 2/3 of 9 hours and if you add 1/3 and 2/3 you get 3/3 which equals a whole so all you have to do is devide 9 into 3 and you get 3 parts with 3 now you add 3 and 3 together and that equals 6 and that was two parts you added which is equaled to 2/3 so all you have to do now is subtract 9-6 and you leave with three which is 1/3 so we come to the final answer she slept for three hours

sorry for such a long explanation

What is 70 + 4 rounded to the nearest ten?

Answers

Answer:

Step-by-step explanation:

We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.

We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4. If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.

Answer:

70

Step-by-step explanation:

70+4= 74

Find the number in the spot (tens place/7) go next door see what you go (4) Five or more you raise the score, four or less you let it rest.

4 is four or less so you let it rest by replacing it with a zero.

Answer= 70

Somebody pls!! “Write the equation of the line in fully simplified slope-
intercept form.”

Answers

Answer:

y = 3/5x + 5

Step-by-step explanation:

Slope-intercept form is y = mx + b where m is the slope (rise / run of the line) and b is y-intercept (y value of where the line intersects with the y-axis.

The line is rising up 3 and run to the right 5 and so it's slope is 3/5. The line intersects with the y-axis at a y value of 5 and so it's y-intercept is 5.

Therefore, your answer in slope-intercept form is y = 3/5x + 5.

1. Fred bought 7 new baseball trading cards to
add to his collection. The next
day his dog ate half of his collection. There are
now only 38 cards left.
How many cards did Fred start with ?

Answers

Answer:He has 74 baseball cards

Step-by-step explanation:

He has 38 baseball cards left, and since his dog ate half of it he must have had double the amount of cards. So 38 + 38 . This equals to 74.

Answer:3

Step-by-step explanation:

If the radius of Brenda's bicycle wheel is 13 inches, approximately how many inches are there in the circumference of the wheel?

Answers

Answer:

There are approximately 82 inches

Step-by-step explanation:

Here, we want to calculate the circumference of the wheel

To do this, we are going to use the formula for the circumference of a circle

C = 2 * pi * r

C = 2 * pi * 13

= 26 * pi

C = 81.7 inches which is approximately 82 inches

Will Gove brainliest:)

Does this table represent a linear or nonlinear function? Explain.

Answers

Non linear because the y values are consistent in how they increase

find the solution of given expression

[tex] \sqrt{64\times 9} [/tex]

Answers

Answer:

[tex]\sqrt{64\cdot \:9}[/tex]

[tex]=\sqrt{576}[/tex]

[tex]=\sqrt{24^2}[/tex]

[tex]=24[/tex]

a coach ordered 6 soccer goals for $678. how much did each goal cost

Answers

Answer:

$113

Step-by-step explanation:

$678 / 6 =

$113 each

Hope that helps!

Mr. DiBello ordered pizzas for a party and organized the information into a table. If Mr. DiBello paid a total of $121.55, how many large pizzas did he order?

Answers

How much does one large pizza cost information is missing

-2x+2>3x-8

50 points

Answers

Given:

The inequality is

[tex]-2x+2>3x-8[/tex]

To find:

The solution of the given inequality.

Solution:

We have,

[tex]-2x+2>3x-8[/tex]

Isolate the variables terms on the left side.

[tex]-2x-3x>-2-8[/tex]

[tex]-5x>-10[/tex]

Divide both sides by -5 and change the inequality sign as we divide the equality by a negative value.

[tex]\dfrac{-5x}{-5}<\dfrac{-10}{-5}[/tex]

[tex]x<2[/tex]

Therefore, the correct option is D.

Can you prove the figure is a parallelogram based on the given information? Explain.​

Answers

Answer:

yes it is a parallelogram

Step-by-step explanation:

it is a parallelogram as opposite sides are equal and parallel

Answer:

Step-by-step explanation:

From the given figure, we know that opposite sides are parallel

If two pair of opposite sides are parallel, then it is a parallelogram.

Could someone please help me with this question due in 3 minutes (ASAP)

Answers

Answer:

Area of a rectangulor pentagon =(1/2)(apothem)(perimeter)

apothem=6.5cm

perimeter=6.5

Step-by-step explanation:

A teacher bought pencils for $14.99, but she knows the store bought them for $8.50. What is the percent markup to the nearest whole?

Answers

Answer:

20

Step-by-step explanation:

23 would be the answer but its rounding to the nearest whole

question in the picture

Answers

c= 50+75t

it is less expensive to purchase the $750 software

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