Answer:
x = 5
y = 3
Step-by-step explanation:
9x and 45 are alternate interior angles, meaning they're congruent, so set them equal to one another, like so:
9x = 45
Divide both sides by 9:
x = 5
Solving for y, the two sides are of equal length, so set them equal:
6y = 18
Divide both sides by 6:
y = 3
Step-by-step explanation:
By alternate interior angle
9x=45°
x=5°
All parallel sides are equal in parallelogram
6y=18
y=3
What is the true solution to 2 In x=2 in 8
Answer:
x=2 is the true solution.
Step-by-step explanation:
We have been given the expression:
2\ln 4x=2\ln 8
Using:
n\ln m=\ln m^n
Our given expression becomes:
\ln{4x}^2=\ln{8^2}
Cancel ln from both sides we get:
4x^2=8^2
On simplification we get:
16x^2=64
x^2=4
Final simplification gives the result:
x=2
Answer:
x = 8
Step-by-step explanation:
2 In x=2 ln 8
Divide by 2
ln x = ln 8
Raise to the e base
e^ ln x = e^ ln 8
x = 8
The distance from home to school is 7/8 of a mile for Amy and 2/4 of a mile for Tom. How much farther does Amy walk than Tom?
The answer is 3/8
because 2/4 × 2 = 4/8
7/8 - 4/8 = 3/8
Answer:
3/8 of a mile more
Step-by-step explanation:
2/4=4/8
7/8-4/8=3/8
What is the volume of a rectangular prism that measures 45units long, 25 units wide, and 35 units high?
Answer:
39375
Step-by-step explanation:
All you have to do is just multiply the length x width x height.
Answer:
Find a rectangular prism in your house exactly the same as this one,them you'll know the answer
Find an explicit formula for the geometric sequence 3, 15, 75, 375...
Answer:
3 * 5 ^ (n-1)
Step-by-step explanation:
3 is the first term and it multiplies by 5
The explicit formula for the geometric sequence is [tex]T_n = 3(5)^{n-1}[/tex]
The standard explicit formula for a geometric sequence is expressed as:
[tex]T_n = ar^{n-1}\\[/tex]
a is the first term
r is the common ratio
n is the number of terms
Given the sequence of numbers 3, 15, 75, 375...
r = 15/3 = 75/15 = 5
a = 3
Substitute the given parameters into the formula to have:
[tex]T_n = ar^{n-1}\\T_n=3(5)^{n-1}[/tex]
Hence the explicit formula for the geometric sequence is [tex]T_n = 3(5)^{n-1}[/tex]
Learn more here: https://brainly.com/question/20548958
HELP ME! XCCCC
The Stem-and-Leaf Graph shows the distance traveled by Rob's family, in
miles per day, to reach their holiday destination. What is the mean for this
data?
OA) 65 mi. per day
OB) 73 mi. per day
OC) 82 mi. per day
OD) 94 mi. per day
Answer:73
Step-by-step explanation:
The MEAN in math means you add all of the numbers together
60 plus 65 plus 73 plus 82 plus 85 = 365
then you divide how many numbers there are and there is 5 numbers so you divide.
365 divided by 5 equals 73
Answer:
73
Step-by-step explanation:
José represents the linear function f(x) = 5x – 7 with words.
Multiply each element in the domain by negative 7 and add 5.
Correct his error.
Answer:
-2
Step-by-step explanation:
The correct statement that Jose is supposed to have written is that multiply each element in the domain by 5 and subtract 7
Given the linear function written by Jose expressed as f(x) = 5x - 7
Note that the expression is in form of a linear equation y = mx + b where:
x is the input value known as the domain
We are to write the function f(x) = 5x - 7 in words.
Let the domain variable be x
5x means that we are to multiply each element in the domain 5
For 5x - 7, we are to multiply each element in the domain by 5 and subtract 7.
The correct statement that Jose is supposed to have written is that multiply each element in the domain by 5 and subtract 7
Learn more here: https://brainly.com/question/20911160
HELP PLEASEEEE FAST
128
164
140
Answer: 140 m3
Step-by-step explanation:
Multiply the area of the trapezoid face by the length .
Since the area is 20, you multiply it by 7 to get 140
Answer:
140 m^3
Step-by-step explanation:
This is a prism with a trapezoid base.
The volume if a prism is
V = (area of base) * height
The base is the trapezoid in the front face. The height is the distance between bases which is 7 m.
area of trapezoid = (b1 + b2)h/2
In the area of the trapezoid, h is the height of the trapezoid which is the distance between parallel bases. It is 4 m in this case.
V = (area of base) * (height of trapezoid)
V = (8 m + 2 m)(4 m)/2 * 7 m
V = 20 m^2 * 7 m^2
V = 140 m^3
Maria bought an SUV for 21,000 dollars. Nancy bought a sedan for 2/3 as much. How much less did Nancy spend on her sedan?
Answer:
7000
Step-by-step explanation:
21,000*(2/3)=14000
21,000-14,000=7000
Answer:
7,000 dollars
Step-by-step explanation:
21,000 divided by 3 is 7,000 = 1/3
So 2/3 = 7,000 x 2 = 14,000
To find how much less Nancy spent on her sedan you do 21,000 - 14,000 = 7,000
Need help on this :|
Answer:
Rachel will earn $1,800 in Interest to make a total of $2,800. She'll not have enough money
Step-by-step explanation:
I=Prt
=1000*0.05*36
=$1,800
Pls someone I need help
Answer:
B. Dan walked uphill, then downhill.
Step-by-step explanation:
The place that the slope went up is based on the distance from the starting point, so the distance is up then down. I hope this helped and please mark me as brainliest!
PLEASE HELP!! (will give brainliest for best answer)
Jillian said StartRoot 25 EndRoot is irrational because it is a square root. Why is she incorrect?
A) Jillian is incorrect because the square root of StartRoot 25 EndRoot = 5.5.
B) Jillian is incorrect because a square root is always rational.
C) Jillian is incorrect because square roots of perfect squares are rational.
D) Jillian is incorrect because the decimal expansion of StartRoot 25 EndRoot is a repeating decimal.
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The square root would be 5
Solve the system of equations.
- 4x + 1ly = 15
x = 2y
Explain why the amount of money in the account at the end of tyears is given by the formula:
Answer:
P_1st year = P0 x (1 + r/n) = P0 x (1 + r/n)^1
P_2nd year = P0 x (1 + r/n) (1 + r/n) = P0 x (1 + r/n)^2
...
P_n year = P0 x (1 + r/n)^n
Hope this helps!
:)
Math question down below
Answer:
314.961
Step-by-step explanation:
I really need help with this question, pls help!!
Answer:
Step-by-step explanation:
Here the average rate of change would be
f(6) - f(1) 162 - (-8)
a. r. of c. = ----------- = ------------------ = 154/5 = 308/10 = 30.8 or 30 8/10
6-1 5 or 30 4/5
Simplify x^2-4x+4/x^2-4
Answer:
x2 - 4x - 4
———————————
x - 2
Step-by-step explanation:
What is the distance between the points (0,5) and (8,0)?
Please help ASAP! I NEED VERIFIED ANSWER AND EXPLANATION! THIS DEPENDS ON MY GRADE! I WILL BE MARKING BRAINLIEST ANSWER!!
Answer:
[tex]\sqrt{89}[/tex]
Step-by-step explanation:
distance = [tex]\sqrt{(x_{2}- x_{1})^{2} + { (y_{2} - y_{2} } ){^2} }[/tex]
Let:
(x₁ , y₁) = (0 , 5)
(x₂ , y₂) = (8 , 0)
Plug in the corresponding numbers to the corresponding variables:
Remember to follow PEMDAS. Solve the parenthesis first:
distance = [tex]\sqrt{(8- 0)^{2} + { (0 - 5 } ){^2} }[/tex]
distance = [tex]\sqrt{(8)^2 + (-5)^2}[/tex]
Solve for the powers next:
distance = [tex]\sqrt{(8)^2 + (-5)^2}[/tex]
distance = [tex]\sqrt{64 + 25}[/tex]
Simplify:
distance = [tex]\sqrt{64 + 25}[/tex]
distance = [tex]\sqrt{89}[/tex]
~
*pls help*
solve 7,8,9, and 10 for brainliest
Answer:
#8 : x=15−y
#9: [tex]\frac{c}{b} -\frac{ax}{b}[/tex]
#10: y=2A−x
#7: T=[tex]\frac{P}{IR}[/tex]
Step-by-step explanation:
Find the domain and range
Answer:
Domain: x = all reals
Range: y is less than or equal to -4
Plz help me!!! I need this!!! Solve 1.5n ≤ −18
Answer:
c≤-12
Step-by-step explanation:
1.5n≤-18
c≤-12
Answer:
c≤-12
Step-by-step explanation:
HELP PLZ WITH THIS MATH PROBLEM QUICKLY!!!!!!!!!!1111
Answer:
You can refer the diagram I have solved.
I need help finding the length of GH.
Answer:
length of arc=2r+teete ×2πr
360
2×13+155°×2×22×13
360. 7
26+155°×572
360. 7
26+88660
2520
88686
2520
35.404
i need help with this !!!!!!
Answer:
Step-by-step explanation:
Use the cosine ratio, adjacent over hypotenuse. Plug in the values
cos70=x/25.5
Isolate x. Multiply both sides by 25.5
x=25.5*cos70
Enter the equation into a calculator
What is the length of the hypotenuse
Answer:
20
Step-by-step explanation:
To find Hypotenuse: Pythagorean Theroem
a^2+ b^2= c^2
The legs are A and B
The side that is directly across from the Right angle is C
12^2 + 16^2 =C^2
144+256=400
400 = c^2
Square root on both sides to get rid of c^2
The square root of 400 is 20
c=20
Answer:
20 feet
Step-by-step explanation:
c = (a² + b²)
c= (12^2 + 16^2)
c= square root (400)
c= 20
I need help answering
PLEASE HELP ASAP worth alot
Answer:
I believe it is C
Step-by-step explanation:
Hope this helps
and if it at all possible and you mark me brainlyest please
Answer:
5 pts isnt a lot but ok.. and yes it is c
Step-by-step explanation:
A basketball court is in the shape of a rectangle. It has a length of (x - 7) meters and a width of (x + 3) meters:
(x-7)(x + 3)
Which of the following simplified expressions represents the area of the basketball court in square meters?
-6x + 3
ox2 - 21
ox2 - 4x - 21
ox² - 7x + 3
Answer:
x2 - 4x - 21
Step-by-step explanation:
Area = (x -7 )(x +3)
= x*x - 7*x + x*3 - 7*3
=x2 - 4x - 21
Find the slope of the line that passes through (10, 8) and (1, 16).
Simplify your answer and write it as a proper fraction, improper fraction, or integer
Answer:
-8/9 is the answer
The bag contains red and white balls.the probability of choosing a red ball is 4/9. Find odds of getting a white ball
Answer:
well if there are 9 balls and 4 of them are red than the odd of getting a white one is 5/9 which is 55.56%
EF
is parallel to the bases of the trapezoid ABCD and bisects the area. Find the length of
EF
, if AD = 48 cm and BC = 14 cm.
Answer:
Step-by-step explanation:
48 + 14 / 2 = 31