![This Is A 45-45-90 Triangle.What Is The Measure Of X?14x = [?]V](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/pYgxjGvo94IuwPU5pBWzsWKUkCP1ZCVS.png)
Answers
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
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.
Start by isolating the constant from the variable values
6x-2x=7+23-10
4x=20
Then divide by 4
X=5
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
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.
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
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
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
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
x=7
Answer:
A. x + y = 16; 0.10x + 0.25y = 2.95Step-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 0.25yNumber of coins is 16:
x + y = 16Total amount is $2.95:
0.10x + 0.25y = 2.95Correct choice is A
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.
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:
In Need of help please Help :c
Answers
Answer:
proportional: A, B, D, G, Inon-proportional: C, E, F, HStep-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.
help pls will give brainliest
Answers
Answer:
$100-5(15) aka $25 still owed
help ASAP please hmmmm
Answers
Answer:
It has to be D.
HURRY QUCIK
Drag the tiles to the boxes to form correct pairs.
Match the pairs of equivalent expressions.
Answers
Answer:
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
What is the approximate value of b?
Answers
Using the Pythagoras theorem, we can work out that b must be equal to the square root of 58, which is approximately 7.6
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]
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]
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.
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
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 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
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.
Evaluate the expression when a=-3 and x=5.
a-2x
Answers
Explanation:
We replace 'a' with -3, and we replace x with 5. Then evaluate.
a - 2x
-3 - 2(5)
-3 - 10
-13
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
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
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
What is the value of r in the equation −4/3r − 1 = −2 ?
Answers
Answer:
r = 3/4
Step-by-step explanation:
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
two hundred and seven thousand in standard form
Answers
Answer:
7,200
Step-by-step explanation:
I hope this helps!
please answer!!!!!!!!!!!
Answers
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.