Answer:
m<ADB = m<DBC
because they're alternate interior angles.
m<ABD = m<BDC
because they're alternate interior angles.
DC = AB, opposite sides.
AD = BC, opposite sides.
m<ADB = m<ABD, adjacent angles.
m<BDC = m<DBC, adjacent angles.
you borrow 3000 from the bank to buy your first car the interest rate 5 how much money will you owe the bank at the end of the year
Answer:
£3150
Step-by-step explanation:
First you divide 5 by 100.
5% Interest Rate = 0.05
Then you times 3000 by 0.05.
3000 × 0.05 = 150
Then your add your answers together.
3000 + 150 = 3150
Answer:
£3150
Step-by-step explanation:
is the correct 1
Simplify: [5×(25)^n+1 - 25 × (5)^2n]/[5×(5)^2n+3 - (25)^n+1]
[tex] \green{\large\underline{\sf{Solution-}}}[/tex]
Given expression is
[tex]\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } [/tex]
can be rewritten as
[tex]\rm \: = \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} } [/tex]
We know,
[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\ [/tex]
And
[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\ [/tex]
So, using this identity, we
[tex]\rm \: = \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} } [/tex]
[tex]\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} } [/tex]
can be further rewritten as
[tex]\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} } [/tex]
[tex]\rm \: = \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)} [/tex]
[tex]\rm \: = \: \dfrac{4}{25 - 1} [/tex]
[tex]\rm \: = \: \dfrac{4}{24} [/tex]
[tex]\rm \: = \: \dfrac{1}{6} [/tex]
Hence,
[tex]\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}[/tex]
HELP!!!
Jacob and Paul are playing a game of cards. After the first round, Jacob said that Paul's score would be twice his own score if he earned 7 more points.
Paul responded to Jacob by telling him his score was only 6 points higher then Jacobs.
PART A. write a system of equations to represent each of the boys statements. Be sure to specify what your variables represent.
PART B. If they both are correct. How many points did each if the boys score?
Answer:
A. y=x2 - 7
y=x + 6
B. 7
Answer:
A.) 2x = y + 7
y = x + 6
The variable "x" would represent Jacob's score and the variable "y" would represent Paul's score in each equation. In the first equation, 2x would represent Jacob's score multiplied by 2, and 7 would represent the amount of points needed in order for Paul to have double Jacob's score. In the second equation, 6 would represent the amount of points needed in order for Jacob's score to be equal to Paul's score.
B.) They are both correct so Jacob's score is 13 points and Paul's is 19.
6 + 7 = 13 (the difference between scores in both equations)
6 would represent the amount that Paul is above Jacob's score and 7 would represent the amount that Paul would have to score to get two times Jacob's score. So, this shows that Paul would have 26 points if he had double the amount of Jacob's score and 26 ÷ 2 = 13.
Hope This Helps!
Acellus
D
320
A
410
С.
B
mZB = [?]
Enter the number that belongs in
the green box
Answer:
∠ B= 107°
Step-by-step explanation:
The sum of the 3 angles in Δ ACD = 180° , then
∠ D = 180° - (32 + 41)° = 180° - 73° = 107°
The opposite angles D and B are congruent in a kite , so
∠ B = ∠ D = 107°
Find the slope of the line that passes through (1, 2) and (10, 10).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
8/9
Step-by-step explanation:
10-2/10-1=8/9
slope=8/9
Answer:
8/9
Step-by-step explanation:
Here,
(1,2)=(x1,y1)
(10,10)=(x2,y2)
Now,
Slope(m)=(y2-y1)/(x2-x1)
=(10-2)/(10-1)
=8/9
Someone please help me
Answer:
Your answer is B = 6
Step-by-step explanation:
[tex]A^{2} +B^{2} = C^{2} \\5^{2} + B^{2} = \sqrt{61} ^{2} \\B^{2} = \sqrt{61} }^{2} -5^{2} \\B^{2} = 61 - 25\\B = \sqrt{36} \\B = 6[/tex]
Hope this helps!
y=f(x)=x+3÷2,x€{1,5,-3
Answer:
Yo use gauth mathhhhhhh
please help due asap
Answer:
I think it's angle 10
Step-by-step explanation:
I'm not 100% sure, but I think this is it because angles 10 and 2 have the same relative position at the intersection.
I hope this helps
A teacher tells her students she is just over 1 and billion seconds old.
1. Write her age in seconds using scientific notation.
Step-by-step explanation:
Words Decimal Representation Scientific Notation
ten million 10,000,000 1 x 107
one hundred million 100,000,000 1 x 108
one billion 1,000,000,000 1 x 109
ten billion 10,000,000,000 1 x 1010
what is x?
-6x+6=-12
(if you can show your work please do :)
Answer:
x = 3
Step-by-step explanation:
-6x + 6 = -12
Subtract 6 on both sides
-6x + 6 -6 = -12 -6
-6x = -12 - 6
Simplify
-6x = -18
Divide by -6 on both sides
-6x/-6 = -18/-6
Simplify
x = 3
Does the frequency distribution appear to have a normal distribution using a strict interpretation of the relevant criteria? (graph in photo)
no, the frequencies do not increase from the low frequency to a maximum frequency.
no, the distribution is not symmetric.
yes, all the requirements are met.
Answer: I think its C, yes, all the requirements are met.
Step-by-step explanation: I might be wrong, so check to make sure
Yes, all the requirements are met.
The correct option is (C)
What is normal distribution?Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
A graph or table that displays the frequency of various outcomes is called a frequency distribution.
The bell-shaped normal distribution is the norm.
As, the frequency value is lower for scores 5.5000 to 5.5499,
and then it increases 5.5500- 5.7499, then decreases for scores 5.7500-5.7999.
So, the frequency distribution curve looks bell-shaped when plotted.
hence, it follow a normal distribution.
Learn more about normal distribution here:
https://brainly.com/question/12432168
#SPJ2
1.
A train travels at a constant rate of 45 miles per hour.
a.
What is the distance, d, in miles, that the train travels in t hours?
How many miles will it travel in 2.5 hours?
b.
112.5 miles in 2.5 hours
Answer:
11.25 miles in 2.5 hoursStep-by-step explanation:
speed × time = distance
45 × 2.5 = 112.5
45 is the speed
2.5 is the time
11.25 is the distance
what is the answer of this? 4x²-9y²+36y-36=0
Answer:
x = + - 3(y-2)
this it ut
Answer:
It will be the oval, yw :)
Evaluate the expression when x= -7. x²+4x-3
49+(-29)-3.Answer:
The answer is -80
Step-by-step explanation:
1. What I did first was plug in -7 into "x", so then your expression is[tex](-7^{2} )+4*(-7)-3[/tex]
2. Then you multiply 7 two times and get - 49... So then you have -49+4(-7)-3
3. Then you multiply the 4 and -7 and get -29... So now you have -49+(-29)-3
4. Then you add -49 and -29. but keep the negative and get -77... so now you have -77-3
5. Then you add -77-3 but keep the negetive and get -80.
I hope this helps... have a wonderful day.
plz help thxxxxxxxxxxxxxxxxxx
Answer:
slope is positive 2/1
Step-by-step explanation:
Answer:
a) the slope is 2 because the line goes from (4,1) to (5,3)
I d k any of the bonus questions tho sorryyyy
Step-by-step explanation:
Answer Asap!
<3 THX <3
XOXO Also giving out brainliest!
What is the solution to the equation? square root -2x-5-4=x A. -7 and -3 B. 3 and 7 C. -3 D. 7
Answer:
3
Step-by-step explanation:
step1 Isolate the square root on the left hand side
Original equation
√2x-5-4 = -x
Isolate
√2x-5 = 4-x
step2 eliminate the radical on the left hand side
Raise both sides to the second power
(√2x-5)2 = (4-x)2
After squaring
2x-5 = x2-8x+16
step3 Solve the quadratic equation
Rearranged equation
x2 - 10x + 21 = 0
This equation has two rational roots:
{x1, x2}={7, 3}
step4 Check that the first solution is correct
Original equation, root isolated
√2x-5 = 4-x
Plug in 7 for x
√2•(7)-5 = 4-(7)
Simplify
√9 = -3
Solution does not check
3 ≠ -3
step5 Check that the second solution is correct
Original equation, root isolated
√2x-5 = 4-x
Plug in 3 for x
√2•(3)-5 = 4-(3)
Simplify
√1 = 1
Solution checks !!
Solution is:
x = 3
Answer:
-3
Step-by-step explanation: i got it right on my test
A number is at most -5 or at least 0, but how do you graph it?
Answer:
Step-by-step explanation:
i am not really fully sure
ABCD is a rectangle and AC and BD are its diagonals. If AC = 10 cm, then BD is?
A. 10 cm
B. 5 cm
C. 15 cm
Or D. 20 cm
Lemme know, take ur timeee
Answer:
A. 10 cm
Step-by-step explanation:
In a right angled triangle, a² + b² = c² where c is the diagonal or hypotenuse. If you split a rectangle diagonally into two right angle triangles, the a and b of both triangles would be the same length. Therefore, the c or diagonals would also be the same length - 10 cm.
Hope this helps!
plzzzzzzzzz help and the answer choice i have on there is not the answer just where i accidently hit lol
Answer:
B is the answer
Step-by-step explanation:
write the equation
it has y-intercept -8 and x-intercept 2
Step-by-step explanation:
(x/2) +(y/-8)=1
[tex] \frac{x}{2} - \frac{y}{8} = 1[/tex]
well that is the equation
Answer:
y=(y/x+8/x) x-8
Step-by-step explanation:
Pls anyone know this
If x =- 5, which expression is equivalent to - 40k – x)?
A. – 4(k – 5)
B. – 40k + 5)
C. – 4(- 5k)
D. – 40k + (-5))
Answer:
B
Step-by-step explanation:
x = -5
Put in -5 for x, and expand:
-40(k-x) = -40(k+5)
B. -40(k+5)
PLS ANSWER!!
32-2(1+3) squared
Answer:32-2=30 30+1+3=34 . Ans:34
Step-by-step explanation:
Answer:
32-3(4)
24
24 squared is
576
The product of a number and twenty-seven.
Answer:
27+a
Step-by-step explanation:
The sum of two numbers is 179.
Their difference is 133. Find both numbers.
Answer:
156,23
Step-by-step explanation:
let the numbers be x and y and x>y
x+y=179
x-y=133
add
2x=312
x=156
156+y=179
y=179-156=23
Answer:
156 and 23
Step-by-step explanation:
We can use system of equations to solve this problem.Step 1: Set up the system of equations.
[tex]\left \{ {{x+y=179} \atop {x-y=133}} \right.[/tex]Step 2: Solve x + y = 179 for x.
[tex]x + y = 179[/tex] [tex]x + y - y = 179 - y[/tex] (Subtract y from both sides)[tex]x = -y + 179[/tex]Step 3: Substitute -y + 179 for x in x - y = 133.
[tex]x-y=133[/tex] [tex]-y+179-y=133[/tex] [tex](-y-y)+(179)=133[/tex] (Combine like terms)[tex]-2y + 179 = 133[/tex] [tex]-2y + 179 - 179 = 133 - 179[/tex] (Subtract 179 from both sides)[tex]-2y = -46[/tex] [tex]\frac{-2y}{-2} = \frac{-46}{-2}[/tex] (Divide both sides by -2)[tex]y = 23[/tex]Step 4: Substitute 23 for y in x = -y + 179
[tex]x = -23 + 179[/tex] [tex]x = 156[/tex]Therefore, the numbers are 156 and 23.
36 men can compete a piece of work in 18 days in how many days will 27 men compete the same work
Step-by-step explanation:
Explanation:
Less Men, means more Days {Indirect Proportion}
Let the number of days be x then,
27 : 36 :: 18 : x
[Please pay attention, we have written 27 : 36 rather than 36 : 27, in indirect proportion, if you get it then chain rule is clear to you :)]
=>27x = 36 * 18
=> x = 24
So 24 days will be required to get work done by 27 men..
Answer:
36 men can complete work in 18 days
so, one man can complete work in 18×36 days
Therefore, 27 can complete work in 18×36/27 = 24 days
Step-by-step explanation:
Compare the number. -9/16 ? -7/10
Answer:
-9/16 > -7/10
Step-by-step explanation:
Describe and correct the error.
29. |-13|-|13|
=-13-13
=-26
30. -6(x-5)
=-6x-30
Please help :)
Find the equation that passes through (2, 2) and is parallel to 2y + 4x = 4.5
Answer:
Line passing through (2,2) is parallel to X - 2Y = 4, so, the slope is same as given line.
m = -a/b = -1/-2 = 1/2
The equation is
(Y - Y1) = m(X - X1) => Y - 2 = 1/2(X - 2) =>
2Y - 4 = X - 2 => | X - 2Y = -2 |