Answer:
C. y = 1/2x + 5
Step-by-step explanation:
For A. and B. x to a power of something, if x is at a power of anything, like x^2 or x^3, then it is not linear.
For D. it doesn't even have x in it, so basically y equals a number.
C. is a linear equation, y = 1/2x + 5
which angles are complementary to each other ? select all that apply
Diagonals of a trapezoid intersect each other at point E, and the extensions of the legs of the trapezoid intersect each other at point F. Prove that line EF bisects the bases of the trapezoid.
PLEASE HELP, IT’S DUE TOMORROW. 50 POINTS AND BRAINLIEST.
Answer:
See Below.
Step-by-step explanation:
Let the intersection point above E be K, and let the intersection point below E be J.
Since ABCD is a trapezoid:
[tex]\displaystyle AB\parallel DC[/tex]
Therefore:
[tex]\displaystyle \angle AJF\cong \angle DKF[/tex]
And:
[tex]\displaystyle \angle DFJ\cong \angle DFJ[/tex]
So, by AA-Similarity:
[tex]\displaystyle \Delta DFK\sim \Delta AFJ[/tex]
CPSTP (Corresponding Parts of Similar Triangles are Proportional):
[tex]\displaystyle \frac{KD}{JA}=\frac{FK}{FJ}[/tex]
Likewise, do the same to the other side. Since AB is parallel to DC:
[tex]\displaystyle \angle BJF\cong CKF\text{ and } \angle CFJ\cong \angle CFJ[/tex]
Hence:
[tex]\Delta CFK\sim \Delta BFJ[/tex]
By CPSTP:
[tex]\displaystyle \frac{KC}{JB}=\frac{FK}{FJ}[/tex]
Substitution:
[tex]\displaystyle \frac{KD}{JA}=\frac{KC}{JB}[/tex]
Since AB is parallel to DC:
[tex]\displaystyle \angle CDB\cong \angle ABD[/tex]
By vertical angles:
[tex]\angle DEK\cong BEJ[/tex]
Hence, by AA-Similarity:
[tex]\Delta DKE\sim \Delta BJE[/tex]
CPSTP:
[tex]\displaystyle \frac{KD}{JB}=\frac{KE}{JE}[/tex]
Likewise:
[tex]\angle DCE\cong \angle BAC[/tex]
And by vertical angles:
[tex]\displaystyle \angle CEK\cong \angle AEJ[/tex]
Hence:
[tex]\Delta CKE\sim \Delta AJE[/tex]
CPSTP:
[tex]\displaystyle \frac{KC}{JA}=\frac{KE}{JE}[/tex]
Substitution:
[tex]\displaystyle \frac{KD}{JB}=\frac{KC}{JA}[/tex]
Now, we have obtained that:
[tex]\displaystyle \frac{KD}{JA}=\frac{KC}{JB}[/tex]
And:
[tex]\displaystyle \frac{KD}{JB}=\frac{KC}{JA}[/tex]
In the second proportion, multiply both sides by JA:
[tex]\displaystyle \frac{KD\cdot JA}{JB}=KC[/tex]
In the first equation, multiply both sides by JB:
[tex]\displaystyle \frac{KD\cdot JB}{JA}=KC[/tex]
Substitute:
[tex]\displaystyle \frac{KD\cdot JA}{JB}=\frac{KD\cdot JB}{JA}[/tex]
Cross-multiply:
[tex]JB\cdot KD\cdot JB=JA \cdot KD\cdot JA[/tex]
Cancel out KD and simplify:
[tex]JB^2=JA^2[/tex]
Therefore:
[tex]JB=JA[/tex]
And using the first proportion again:
[tex]\displaystyle \frac{KD}{JA}=\frac{KC}{JA}\Rightarrow KD=KC[/tex]
Hence, EF bisects AB and DC, the bases of the trapezoid.
Pls help me so I can pass
Answer:
Sorrry i dont know
Step-by-step explanation:
in a three digit number, the hundreds digit is one more than the ones digit and the tens digit is twice the hundreds digit. If the sum of the digits is 11, find the number. If the hundreds digit of the number is x, the equation will be? 20 Points to solve and brainliest.
Answer:
I am not sure, but I think 362 is the answer
Step-by-step explanation:
hundred digit:x
tens digit:2x
ones digit:x-1
x+2x+x-1=11
4x=12
x=3
number=362
How many times does the graph of y = x2 – 8x + 12 intersect the x-axis?
Pls help me so I can pass
A livestock pen is built in the shape of a rectangle
that is 3 times as long as it is wide. The perimeter is
64 feet. If the material used to build the pen is $1.75
per foot for the longer sides and $2.25 per foot for
the shorter sides (the shorter sides have gates, which
increase the cost per foot), find the cost to build the
pen.
It costs $
to build the fence.
im failing lol help The areas of the squares adjacent to two sides of a right triangle are 29.25 units^2 and 13 units ^2
Answer and Step-by-step explanation:
To find the length of z, we need the lengths of the other 2 sides first. Simply take the square root of both areas and that will be your sides.
[tex]\sqrt{13}[/tex] and [tex]\sqrt{29.25}[/tex]
Now find z, the hypotenuse.
[tex](\sqrt{13}) ^2 + (\sqrt{29.25} )^2 =z^2\\\\13 + 29.25 = z^2\\\\42.25 = z^2\\\\\sqrt{42.25} = z\\\\6.5 = z[/tex]
6.5 is the answer.
#teamtrees #PAW (Plant And Water)
Joseph has $620 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $440.12.
He buys 2 bicycle reflectors for $12.86 each and a pair of bike gloves for $19.26.
He plans to spend some or all of the money he has left to buy new biking outfits for $53.96 each.
Write and solve an inequality which can be used to determine oo, the number of outfits Joseph can purchase while staying within his budget.
Answer:
8 outfits with change
Step-by-step explanation:
if you add up the prices of the objects and divide it then you get 8.989
PLZ HELP ME ANSWER THIS NO INCORRECT PLS THANK YOU
Answer:
number 1 is A: 8<4x+10
number 2 is i: 2x+7<5
number 3 is E: 8<3x+4
number 4 is D: 2-5x<5
Help please?!!!!!!!!:8/8/&
Answer:
The answer is A) y =3x + 3
Step-by-step explanation:
You substitute the gradient and y intercept into the equation of y = mx +b
giving brainlist tobfastest and correct
Answer:
A is your answer
What is the area of a circle with a radius of 6 ft? Use 3.14 for π. Round to the nearest tenth if necessary.
Step-by-step explanation:
write what you know
A = pi x r^2
r = 6ft
Annd plug and chug
Answer:
[tex]\boxed {\boxed {\sf a \approx 113.0 \ ft^2}}[/tex]
Step-by-step explanation:
The area of a circle is the space inside the shape. The formula is:
[tex]a= \pi r^2[/tex]
We know the radius of the circle is 6 feet and we are using 3.14 for pi.
r= 6 ftπ= 3.14Substitute the values into the formula.
[tex]a= (3.14) \times (6 \ ft)^2[/tex]
Solve the exponent.
(6 ft)² = 6 ft * 6 ft = 36 ft²[tex]a= (3.14) \times 36 \ ft^2[/tex]
Multiply.
[tex]a=113.04 \ ft^2[/tex]
Let's round to the nearest tenth. The 4 in the hundredth place tells us to leave the 0 in the tenths place.
[tex]a \approx 113.0 \ ft^2[/tex]
The area of the circle is approximately 113.0 square feet.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Convert 80 km/h to mi./min. Use the fact that 1 mi. ≈ 1.6 km.
Answer:
0.83 mi/min
Step-by-step explanation:
Start with 80 km/hr. Convert this to the units miles/hr:
(80 km/hr)(1 mile/1.6 km) = 50 miles/hr
Next, apply the equality 60 min / 1 hr = 1 to 50 miles/hr:
50 miles. 1 hr
------------- * ------------ = 5/6 mi/min, or 0.83 mi/min
hr 60 min
BRAINLIEST IF correct
Answer:
1.
25 of the 36 collars will be accepted. I just counted the numbers that were either "14" "15" or "16" because the company will only accept the collars that have 14-16 miligrams of medicine in them.
2. I expect the company to reject 11 of them because 25-36 = 11
Step-by-step explanation:
Answer:
Step-by-step explanation:
Okayy, so we know that the domain for the flea collars (let's call them x for short) is:
[tex]14\leq x\leq 16[/tex]
So basically we can eliminate all of the numbers that don't fit the inequality
In this set of numbers we are looking to eliminate the 13's and the 17's
17, 14, 14, 16, 14, 15, 15, 15, 16, 14, 16, 14, 15, 15, 15, 16, 13, 13
13, 13, 13, 14, 14, 13, 17, 14, 15, 13, 14, 15, 16, 17, 14, 17, 14, 15
The bolded ones are the ones to eliminate, also that took way too long to type those :,)
Now here's what's left:
14, 14, 16, 14, 15, 15, 15, 16, 14, 16, 14, 15, 15, 15, 16
14, 14, 14, 15, 14, 15, 16, 14, 14, 15
Now we can answer the questions
A) What percent of collars would be acceptable?
To find this answer we must find the percent of collars that are left out of all of the collars we used to have
(I hope that makes somewhat sense)
To find this we need to know the number of collars we started with and the number of collars we have left
We started with 36
We have 25 left
25/36 is about
69.44 percent
This number works even though we only used 36 because the ratio of good collars to be bad collars should be consistent throughout the whole 720 collars
nExT qUeStIoN
B) How many collars
HELP ME IM FAILING LOL Find the value of x in the triangle shown below.
Answer:
d
Step-by-step explanation:
because it's the exact value
The area of the rectangular floor in Tamara's room is 95 5/6 square
feet. The width of the room is 8 feet. What is the length of Tamara's
room?
Answer: 11 1/2 ft
Step-by-step explanation:
We know that the equation for the area of a rectangle is:
length x width = area
All we have to do is fill it in with the numbers and solve:
length x 8 1/3 = 95 5/6
length = 95 5/6 ÷ 8 1/3
length = 23/2 = 11 1/2
Thus, the length of Tamara's room is 11 1/2 feet.
which angles are vertical to 2 ? Select all that apply
Answer:
5
Step-by-step explanation:
Verticle angles are the angles opposite of each side.
Answer:
I think only 5
hope this helps
have a good day :)
Step-by-step explanation:
if you have to choose more it would be 5 and 6
Aha I'm failing so if you could help that would be great :D. Find the value of x in the triangle shown below.
Answer:
8
Step-by-step explanation:
p = ?
h = 10
b = 6
Now,
p2 = h2 - b2
p2 = ( 10)2 - (6)2
p2 = 100 - 36
p2 = 64
p = root under (64)
p = 8
please help! i don’t understand this question thank youuuu
1.) 7+7/9x=−42 2.) 4x+1=−15 3.)−4(x−3)=−40
Answer:
1) x= -1/27
2) x=-4
3) x=13
Step-by-step explanation:
1) 7+7/9x= = -42
14/9x= = -42
14/9x X 9x= -42 X 9x
14= -378x
-378x= 14
-378x/-378= 14/-378
x= -1/27
2) 4x+1=−15
4x+1-1=-15-1
4x=-16
4x/4= -16/4
x=-4
3) −4(x−3)=−40
-4(x-3)/-4= -40/4
x-3=10
x-3+3=10+3
x=13
Enter your answer in simplified fraction form.
There are 4 queens in a standard deck of 52 cards. You pick one card at random. What is the probability of not picking a queen?
Answer:
1/13
Step-by-step explanation:
Answer:
1/13 is the answer
Step-by-step explanation:
Consider the following 8 numbers, where one labelled x is unknown.
50, 22, 42, x, 30, 42, 9, 23
Given that the range of the numbers is 66
work out 2 values of x
this is how the answer is suppose to be written:
Step-by-step explanation:
this may be the answer
but I am not that sure
A football player attempts to kick a football across a field. The path of the football can be modeled by the function h(x) = − 1/225 x^2 + 2/3 x, where x is the horizontal distance from the kick, and h(x) is the height of the football above the ground, when both are measured in feet. How far from the kicker will the football land? Please Help Me!
Answer:
too complex boy Soo hard
Stock for the Jones Corporation starts with a value of $39.63 and gains $0.30 in value per month. Stock for the Overton Company starts with a value of $24.45 and gains $0.80 in value per month. When are the two stocks nearly equal in value?
A after 3 monthsafter 3 months
B after 4 monthsafter 4 months
C after 15 monthsafter 15 months
D after 30 months
The answer is D After 30 months EZ.
15/18−(1/3+1/6)??
A.)13/9
B.)13/18
C.)2/3
D.)1/3
I kinda need an answer now.
Answer: 0.3
Step-by-step explanation:
Hector gave 40% of his money and an additional $5 to Calista. He
gave 75% of his remaining money and an additional $6 to Koren,
The amount of money Hector had left in the end was $44 less than
the amount of money he gave to Karen. Find the amount of money
Hector gave to Calista,
help plzzz...also give steps
Answer:
392π
Step-by-step explanation:
Equation is 1/3(piR^2)*h
Radius is 7, 7 squared is 49.
1/3(49π)(24)
392π
The ratio of chickens to roosters is 10 to 2. If there are 25 chickens, how many roosters are there? Complete the ratio table to solve.
Answer:
5
Step-by-step explanation:
I hope this answer be right:)
Answer:
Step-by-step explanation:
let the roaster be x
ratio of chicken to roosters is 10 :2
chickens /rooster =chickens /rooster
10/2=25/x
do cross multiplication
2*25=x*10
50=10x
50/10=x
5=x therefore there are 5 roosters.
Please help asap or give explanation for brainliest
Answer:
Hi, I believe 1-0.25c is the correct answer.
Step-by-step explanation:
This is because 25% off would mean taking 25 off of a whole amount, which in this case would be one.