This is a 45-45-90 triangle.
What is the measure of x?
Х
14
Х
x = [?]V

This Is A 45-45-90 Triangle.What Is The Measure Of X?14x = [?]V

Answers

Answer 1

Answer:

x = 14[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Since the triangle is 45- 45- 90 then it is isosceles with the 2 legs being congruent, both 14

Using Pythagoras' identity in the right triangle

x² = 14² + 14² = 196 + 196 = 392 ( take square root of both sides )

x = [tex]\sqrt{392}[/tex] = [tex]\sqrt{196(2)}[/tex] = [tex]\sqrt{196}[/tex] × [tex]\sqrt{2}[/tex] = 14[tex]\sqrt{2}[/tex]


Related Questions

What is the approximate value of b?

Answers

The answer is 7.6

Using the Pythagoras theorem, we can work out that b must be equal to the square root of 58, which is approximately 7.6

Find the value of x.

Answers

Answer:

x = 12

Step-by-step explanation:

Angle Bisector Theorem:  PS / PQ = RS / QR

24/14 = x/7

cross-multiply:

14x = 168

x = 12

8(3x – 6) = 6(4x + 8)

Answers

Answer:

0=96

Step-by-step explanation:

8 x 3x= 24x     8 x- 6= -48      6 x 4x=24x       6x 8=48

24x -48= 24x+48

24x-24x= 48 +48

0= 96

A triangle has two sides of length 6 and 18. What is the smallest possible whole-number length for the third side?

Answers

Answer:

Step-by-step explanation:

A triangle has two sides of length 14 and 5. What is the largest possible whole-number length for the third side?

Answer:

11 units

Step-by-step explanation:

Between 18-8 = 10 and 18+8 = 26, the smallest integer number INSIDE this interval is 11.

Can someone please help me with this easy math problem?

Answers

Answer:

K(w)=P(w)

150 - 15w = 180 - 20w

Collect like terms

-15w + 20w = 180 - 150

5w = 30

w = 30/5

w = 6

Therefore, w = 6 weeks

what is 80,704 rounded to the nearest 10 thousand

Answers

80,000

Just look at the number in the ten thousand place and check if you have to round up or down.

True or False. If true, give a convincing argument. If false, explain why it is false. Be sure to use mathematical language in your explanation.

As an airplane flies toward you, its angle of elevation increases.

Answers

Answer:

True.

Step-by-step explanation:

We assume that the plane is flying at a constant height above the ground.

The angle of elevation is the angle made between the plane, you and the point on  the ground directly below the plane. As the plane approaches you the distance between you and the point on the ground decreases and therefore the angle of elevation increases.

Question 5 of 10
What is the solution to this equation?
6x + 10 - 2x = 7 + 23
A. X = 15
B. X= 4
C. X= 5
D. X= 2

Answers

Answer:

x=5

Step-by-step explanation:

First you combine the like terms. next you add 7+23. After that you subtract 10 from both sides. You're left with 4x=20. divide the equation by 4 on each term. Then you're left with x=5.

The Answer is C.
Start by isolating the constant from the variable values
6x-2x=7+23-10
4x=20
Then divide by 4
X=5

Write an explicit formula for a_na n ​ , the n^{\text{th}}n th term of the sequence 72, 12, 2,

Answers

Answer:

divide by 6

Step-by-step explanation:


Part B
If a company was charged $16.25 to deliver sneakers, what was the distance of the delivery ride?
Show work that supports your answer. (2 points)
Part A: Write the function rule (equation) for describing the total rate y as a
function of the total miles x.*
What is the answer

Answers

Answer:

Step-by-step explanation:

Part A:

y=1.5x+4.25

Part B:

16.25=1.5x+4.25

Minus 4.25 from both sides

12=1.5x

Divide both sides by 1.5 and you will get x=8

PLEASE HELP SOON!!!!!!!!!!!!!!!

Answers

Answer:

35

Step-by-step explanation:

10 - (-20) turns into 10+20 and 8+(-3) is just 8-3

Answer:

Step-by-step explanation:

remove brackets

8-3+10+20=35

help pls will give brainliest

Answers

Answer:

$100-5(15) aka $25 still owed

A drilling team detected water 38 feet below the ground. If it took workers 8 days to be able to dig and pull up the water, how much did they dig each day on average? Form an equation

Answers

Answer: 38 divided by 8 which would equal 4.75 or 4 3/4 feet each day.

Step-by-step explanation: You divide the amount of total feet by the amount of days it took.

help ASAP please hmmmm ​

Answers

Answer:

It has to be D.

Find the equation of a line perpendicular to y - 1= -x that passes through the
point (-4,-8).
1.) y = x - 4
2.) y = -x - 4
3.) y = -x - 1
4.) y = x - 1

Answers

Answer:

4

Step-by-step explanation:

firstly you separate y

y=-x-1

which means that the slope is equal to -1

then you flip the slope so -1 over -1 which is equal 1

please answer!!!!!!!!!!!

Answers

The answer is C bc all points multiplied by scale factor of 1/5

How to solve the function problem for this one?

Answers

Answer:

a. f(12) = - 1

b. x = 27 when f(x) = 4

Step-by-step explanation:

We are given that [tex]f(x)=\frac{1}{3} x-5[/tex] and we want to find f(12) and f(x) = 4

To find f(12) we simply plug in 12 into x and evaluate it

[tex]f(x)=\frac{1}{3} x-5[/tex]

plug in 12

[tex]f(12)=\frac{1}{3} (12)-5[/tex]

multiply 12 and 1/3 to get 4

[tex]f(12)=4-5[/tex]

subtract 5 from 4 to get -1

[tex]f(12)=-1[/tex]

Now we want to find the value of x when f(x) = 4

To do this we substitute 4 for f(x) and solve for x

[tex]f(x)=\frac{1}{3} x-5[/tex]

substitute 4 for f(x) and solve for x

[tex]4=\frac{1}{3}x -5[/tex]

add 5 to both sides

[tex]9=\frac{1}{3} x[/tex]

multiply both sides by 3

27 = x

And we are done.

So f(12) = -1 and x = 27 when f(x) = 4

For a plug in 12 for x:

f(12) = 1/3(12)-5

f(12) = 4-5

f(12) = -1

For b plug in 4 for x:

f(4) = 1/3(4)-5

f(4) = 4/3 -5

f(4) = 0.75-5

f(4)= -4.25

Two ramps are being built with the same slope. The first ramp is twice the height of the second ramp. Does the first ramp have to be twice as long as the second ramp? Explain.

Answers

yes, because slope is the steepness of a line. if the steepness of those two lines are the same, you will have to expand the x-axis (the length of the first ramp).

What is the value of r in the equation −4/3r − 1 = −2 ?

Answers

Answer:

r = 3/4

Step-by-step explanation:

Solve for m.

35m>−30


m>−50

m<−50

m>−18

m<−18

Answers

[tex]35m>-30\\\\\implies \dfrac{35m}{35}>-\dfrac{30}{35}\\\\\implies m>-\dfrac{6}{7}[/tex]

two hundred and seven thousand in standard form

Answers

Answer:

7,200

Step-by-step explanation:

I hope this helps!

What type of number is ?
Choose all answers that apply:
A
Whole number
00
B
Integer
С
Rational
D
Irrational

Answers

Answer:

Irrational Number

Step-by-step explanation:

Mark as brainliest if correct

Evaluate the expression when a=-3 and x=5.
a-2x

Answers

Answer:  -13

Explanation:

We replace 'a' with -3, and we replace x with 5. Then evaluate.

a - 2x

-3 - 2(5)

-3 - 10

-13

Two airplanes leave an airport at the same time and travel in opposite directions. One plane travels 68 km/h faster than the other. If the two planes are 5052 kilometers apart after 3 hours, what is the rate of each plane?

Answers

Step-by-step explanation:

the slower plane travels x km in 3 hours.

the faster plane travels x + 3×68 = x + 204 km in 3 hours.

x + x + 204 = 5052 km

2x = 4848 km

x = 2424 km (in 3 hours).

so, the slower plane's speed is 808 km/h.

the faster plane's speed is 808 + 68 = 876 km/h.

Determine the two positive integers each square root falls between.


10. ✔️28


11. ✔️3


12. ✔️59


13. ✔️115


14. ✔️772


15. ✔️140

Answers

Answer:

  10. (5, 6)

  11. (1, 2)

  12. (7, 8)

  13. (10, 11)

  14. (27, 28)

  15. (11, 12)

Step-by-step explanation:

If you're not familiar with the squares of small integers, your calculator can help you figure this.

10. √28 ≈ 5.291 . . . . between 5 and 6

11. √3 ≈ 1.732 . . . . between 1 and 2

12. √59 ≈ 7.681 . . . . between 7 and 8

13. √115 ≈ 10.724 . . . between 10 and 11

14. √772 ≈ 27.785 . . . . between 27 and 28

15. √140 ≈ 11.832 . . . . between 11 and 12

HURRY QUCIK
Drag the tiles to the boxes to form correct pairs.
Match the pairs of equivalent expressions.

Answers

Answer:

Step-by-step explanation:

In his pocket, Hamid has $2.95 in dimes and quarters. If there are 16 coins in total, which system represents the number of dimes and quarters that Hamid has?

A. x + y = 16. 0.10 x + 0.25 y = 2.95.

B. x + y = 16. 0.05 x + 0.25 y = 2.95.

C. x + y = 2.95. 0.10 x + 0.25 y = 16.

D. x + y = 16. 0.01 x + 0.25 y = 2.95.

Answers

It’s C :)) (16-y)+0.25y = 2.95 => y=9… x+9=16
x=7

Answer:

A. x + y = 16; 0.10x + 0.25y = 2.95

Step-by-step explanation:

Given:

Dime is $0.10, number of dimes is x, total of dimes = 0.10xQuarter is $0.25, number of quarters is y, total of quarters is 0.25y

Number of coins is 16:

x + y = 16

Total amount is $2.95:

0.10x + 0.25y = 2.95

Correct choice is A

In Need of help please Help :c

Answers

Answer:

proportional: A, B, D, G, Inon-proportional: C, E, F, H

Step-by-step explanation:

Any relation with a non-zero initial value or y-intercept is non-proportional. Any relation that has a constant ratio between output and input is proportional.

  C has an initial value of 7

  E has a y-intercept of -3

  F has an initial value of 2.00

  H has an initial value of 5

All of these are non-proportional. The remainder are proportional.

Rectangle A and rectangle B are similar. Rectangle A has a width of 5cm and length of 8cm. Rectangle B has a width of 10cm. What is the length of rectangle B?

(with explanation please)

Answers

The answer is 16.

Since the rectangles are similar, the ratio of their height and width will be the same

The width of rectangle B is 10, which is 2 x the width of rectangle A

So the length will also be 2 x the length of A

2 x 8 is 16

the square root of 700 times square root of 525 in simplest form

Answers

Answer: 350 [tex]\sqrt{3[/tex]

Step-by-step explanation:

700^0.5 = 10 [tex]\sqrt{7\\[/tex]

525^0.5 = 5 [tex]\sqrt{21[/tex]

10[tex]\sqrt{7[/tex] x 5[tex]\sqrt{21[/tex] = 50 x 7 x [tex]\sqrt{3[/tex] = 350[tex]\sqrt{3\\[/tex]

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