Answer:
4[tex]\sqrt{13}[/tex]
4[tex]\sqrt{13}[/tex] + 8
4[tex]\sqrt{13}[/tex] + 16
Step-by-step explanation:
as per the given information:
shorter leg = x
longer leg = x + 8
hypotonuse = x + 8 + 8
remember the Pythagorean theorem, which states
x^2 + y^2 = n^2
where x and y are the legs and n is the hypotenuse
so now one can set up an equation:
x^2 + ( x + 8 )^2 = ( x + 16 ) ^2
simplify and solve using inverse operations:
first preform the square
x^2 + x^2 + 16x + 64 = x^2 + 32x + 256
then preform inverse opertations and simplify
2x^2 + 16x + 64 = x^2 + 32x + 256
-x^2 -x^2
x^2 + 16x + 64 = 32x + 256
-16x -16x
x^2 + 64 = 16x + 256
- 64 -64
x^2 = 16x + 192
-16x -16x
x^2 - 16 = 192
x^2 -4^2 = 192
remember the differnt ways of writing a special square
(x - 4) (x + 4) = 192
x = 4[tex]\sqrt{13}[/tex]
now add 8 to find the longer leg
4[tex]\sqrt{13}[/tex] + 8
an add another 8 to find the hypotenuse
4[tex]\sqrt{13}[/tex] + 8 + 8
4[tex]\sqrt{13}[/tex] + 16
in this picture lines AB and CD are parallel. Find the measures of the following angles. Explain your reasoning.
Answer/Step-by-step explanation:
1. <ABC and <BCD are alternate interior angles. Alternate interior angles are equal, therefore, since m<ABC = 38°, then m<BCD = 38°
2. m<ECF = m<BCD (corresponding angles)
m<ECF = 38° (substitution)
3. m<DCF + m<ECF = 180° (linear pair)
m<DCF + 38° = 180° (substitution)
m<DCF = 180° - 38° (Subtraction property of equality)
m<DCF = 142°
The measure of the following angles are as follows;
∠BCD = 38°
∠ECF = 38°
∠DCF = 142°
Angles form when a transversal cut parallel linesWhen a transversal line cut across parallel lines, the angles form include corresponding angles, alternate angles etc.
Therefore,
∠BCD = 38 degrees(alternate angles)
∠ECF = 38 degrees(corresponding angles)
∠DCF = 180 - 38 = 142 degrees(angles on a straight line)
learn more on angles here: https://brainly.com/question/18346402
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I need help solving these problems.
HELP HELP HELP
A house painting company charges $350 plus $15 per hour. Another company charges $275 plus $20 per hour. Write an equation that represents when both companies will cost the same amount. How long will the job be when both companies charge the same amount? How much will they charge?
Question 1: Write an equation.
Question 2: How long will the job be when both companies will cost the same amount?
Question 3: How much will they charge?
Answer:
BelowI hope it helps ♥Step-by-step explanation:
1. Equation representing when both companies will cost the same amount :
[tex]350 + 15x = 275 + 20x[/tex]
2. Let x equal the number of hours a job takes , then the first house painting company will charge 350+15x , the second house painting will charge 275 +20x. If the two companies charge the same amount , we will have;
[tex]350 +15x = 275+20x\\\\350 - 275 = 20x - 15x\\\\75 = 5x\\\\\frac{75}{5} = \frac{5x}{5} \\\\15 = x\\\\x = 15\:hours[/tex]
3. For a job that takes 15 hours , the first company will cost ;
[tex]350 + 15(15) = 575[/tex]
For a job that takes 15 hours , the second company will cost ;
[tex]275+20x\\\\275+20(15)\\\\275 +300\\\\=575[/tex]
What’s the answer pls answer fast
Select the correct answer.
Which equation represents the vertical line passing through (7,-3)?
A.
x = -3
B.
y = -3
C.
x = 7
D.
y = 7
Answer:
C. [tex]x=7[/tex]
Step-by-step explanation:
So we know that a vertical line is represented by [tex]x=[/tex] so we can already rule out two of the options. We also know that since the line runs vertically, all points will start with the same [tex]x[/tex] coordinate. This means that the correct answer is [tex]x=7[/tex]
Answer:
the answer is c x=7
Step-by-step explanation:
help me find the answer to this please. 8745/53 as an quotient
Answer:
165
Step-by-step explanation:
8745/53=165
Please help and thank you for helping me out
Step-by-step explanation:
1. d=30
2. b=8
3. n=-7
5. v=17
6.x=-13
7. b=48
Write an equivalent expressions for (8a2 -15a + 9) - (6a2 - 9a - 20).
Answer:
2a2 - 6a + 29
Step-by-step explanation:
PLEASE HELP ME WITH THIS PROBLEM!!!!!!!!!!
The following figures are not drawn to scale but AB and CD are straight lines. Find x.
Answer: x = 30
Step-by-step explanation:
Since AB and CD are straight lines, vertical angles formed by them are congruent. Angle DOB is equal to angle AOC which is equal to 2x. Since you know that a straight angle is equal to 180 degrees, you can say :
2x + 90 + x = 180
3x + 90 = 180
3x = 90
x=30
Hope this helped :)
Think about the expression (x-8)(x+4)
Answer:
x*x +4*x-8*x -8*4
x^2+4x-8x-32
x^2-4x-32
What is 80% as a fraction in reduced form?
Answer:
45
Step-by-step explanation:
Answer:
4/5
Step-by-step explanation:
Work out the product of 2⅔ and 3¾
Answer:
[tex]6\frac{5}{12}[/tex]
Step-by-step explanation:
[tex](\frac{8}{3} * \frac{4}{4} )+(\frac{15}{4} * \frac{3}{3} )[/tex] - so they have the same denominator
[tex](\frac{32}{12} + \frac{45}{12} )\\\\ \frac{32+45}{12} \\\\\frac{77}{12} \\\\[/tex]
1
What is 12_
4
7
_
8
Answer:
12 is a Even Whole number..?
If 247 players separated into 13 equal teams, how many players will be on each team?
which expression can be used to solve 3/5 divided by 7/10?
Answer:
C
Step-by-step explanation:
Keep Change Flip
Keep the first; change divided by multiply; then flip the last
This type of triangle always has two congruent legs and two congruent
base angles. *
Answer:
Isosceles is correct........
Answer:
isosceles triangle
Step-by-step explanation:
PLEASE HELP I WILL MARK
Answer:
2. 5
3. 2 dollars a peice
that is all i know sorry
Step-by-step explanation:
hope it heps you
Answer(s):
5 miles per hour
2 dollars per battery
6 pages in a minute
10 miles per gallon
2 inches per hour
Step-by-step explanation:
30/6=5
24/12=2
40/8=6
60/6=10
16/8=2
Solve for b: 3ab = -7
Since we are solving for b, you need to get it by itself. So you would divide both sides by 3a. That would leave b= -7/3a.
Hope this helps!!
Whats is the answer of 1x3x4x6+1
Answer:
73
Step-by-step explanation:
Answer:73
Step-by-step explanation:
ANSWER THIS FOR 11 POINTS, what are the slope and y intercept of the function?
Answer:
y intercept=4 and the slop is 1/3
Step-by-step explanation:
The y intercept is the point where the line intersects the y axis. As we can see the line is intecepting the y axis at point 0,4 or just 4. To find the slope from that point you need to go y places up or down and x places left or right-additionally the point has to be on that line. For example from point 0,4 which is our y-intercept if we go up 1 and over 3 to the right from that point then we get another point that's on the line.
-kinda hard to explain but hope this helps
If Syn spends 15 minutes running, he burns 200 calories. How long will it take Syn to burn 150 calories?
Answer:
11 minutes and 15 seconds (11.25 minutes/ 11 and 1/4)
Step-by-step explanation:
create the corresponding ratio by dividing 200 by 15, 200 calories per 15 minutes. Which equates to 40 calories every three minutes which means 40/3 or 13 1/3 calories every minute. You can verify this by multiplying 15 and 40/3 to get 200 again.
The last step is to divide the calories burned by the corresponding ratio (40/3)
150/(40/3) = 11.25
and .25 or 1/4 of 60 seconds(in a minute) is 15 since 60/4 = 15.
Factor each of the following polynomials completely
1. 4x + 8
2.9x² - 25
3.x² + 4x + 4
Answer:
ok:
Step-by-step explanation:
1. 4(x+2)
2. (3x + 5)(3x - 5)
3. [tex](x+2)^2[/tex]
Answer:
1. 4(x+2)
2. (3x+5)(3x-5)
3. (x+2)(x+2)
Step-by-step explanation:
Which don’t lie??????????!!!!!
Answer:
I think its -12. If you apply y2-y1/ x2-x1 to the equation.
Answer:
i belive that it might be c
Step-by-step explanation:
which is -12
4. Determine the value of x.
Answer:
x=16
Step-by-step explanation:
(16*3)-2
48-2
46
134+46=180
When rounded to the hundreds place, which of the numbers below round to 456,700?
A) 456,605
B) 456,739
C) 456,798
D) 456,698
E) 45,673
Answer:
If you can only pick one option I'd choose D.)
Step-by-step explanation:
Option D is only two numbers away from 456,700
The second closest number would be option B.)
Answer:
[tex]D) . \: 456,698 = 456,700 \: to \: the \: hundreds \: place.[/tex]
Dived 41.04 by 1.6.
Answer:
25.65
Step-by-step explanation:
Answer: 25.65
No explanation lol
what is x and y equal to if x divided by y = 6
Answer:
x=12 a and y=2
Step-by-step explanation:
You pick a ceratin amiunt of
Answer:
Okay so if your current scores are 93, 97, 89 and 81, You would have to score at least a 90. Even if you scored a 100%, the highest you would be able to make is a 92 average.
Step-by-step explanation:
Here's the thing about average, all you do is take all of the numbers, add them up, then divide them by the number of numbers there are.
For example, 93 + 97 + 89 + 81 = 360. There are 4 numbers so you would take 360 and divide it by 4 which gets you 90. 90 is your average.
To figure out the highest score you are able to get, take the highest score you can possibly score (100) and add it to the mix. 93 + 97 + 89 + 81 + 100 = 460. Now, there are 5 numbers. So you take 460 and divide it by 5 which will get you 92.
Hope I helped.
Two siblings Edwin and Rhea are both going skiing but choose different payment plans. Edwin's plan charges $45 for rentals and $5.25 per lift up the mountain. Rhea's plan was a bundle where her entire day cost $108. Set up an inequality that models the number of trips, n, up the mountain for which Edwin will pay more than Rhea. Solve the inequality. Also, what is the greatest amount of trips that Edwin can take up the mountain and still pay less than Rhea? Explain how you arrived at your answer.
Answer:
n>12
Step-by-step explanation
45+5.25n>108
-45 -45
5.25n > 63
then divide both sides by 5.25
n>12
The total cost, y, for Leah and x friends to go to an amusement park can be modeled by a linear function. The amusement park charges an entrance fee of $45.25 per person and a parking fee of $10 per car. Leah's car has seating for a maximum of 6 people.
What is the domain of the function for this situation?
45x6=270.270 is the total for the friends.However instead you have to do 45x7=315.Because its Leahs friends and LEAH.So now the car.315+10=325.So your answer is 325