Answers
Answer:
x = 35°
Step-by-step explanation:
These are corresponding angles. When a transversal crosses 2 parallel lines, 4 angles are created at each intersection, and each pair of corresponding angles between those are congruent.
These angles are congruent, so you can set them equal to each other:
[tex]2x+20=3x-15[/tex]
Then, just solve for x:
[tex]20=x-15\\35=x\\x=35[/tex]
You can check that by plugging it back into both:
[tex]2x+20=3x-15\\2(35)+20=3(35)-15\\70+20=105-15\\90=90[/tex]
Answer:
x = 35
Step-by-step explanation:
The angles shown are corresponding angles
Corresponding angles are congruent ( equal to each other )
This means that 2x + 20 should equal 3x - 15
Note that we've just created an equation that we can use to solve for x
We know use that equation to solve for x
2x + 20 = 3x - 15
add 15 to both sides
2x + 35 = 3x
subtract 2x from both sides
35 = x
And we are done!
Related Questions
( I will give brainliest! ) What is the simplified expression of
4x + 2(3x + 7) - 7x?
Answers
Answer:
[tex]3x + 14[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex]4x + 2(3x + 7) - 7x[/tex]
[tex]4x + (2 * 3x) + (2 * 7) - 7x[/tex]
[tex]4x + 6x + 14 - 7x[/tex]
Step 2: Combine like terms
[tex]4x + 6x + 14 - 7x[/tex]
[tex](4x + 6x - 7x) + 14[/tex]
[tex]3x + 14[/tex]
Answer: [tex]3x + 14[/tex]
Triangle JKL is dilated by a scale factor of 5 to form triangle J'K'L'. Side K'L'
measures 65. What is the measure of side KL?
Answers
Troy is buying a car that costs $15,000. He
plans to get a 5-year loan to pay for it. He
can get a loan for $15,000 or he can pay
$3,000 from his savings and get a loan
for the rest. The savings account pays 2%
simple interest per year. The simple interest
rate for the loan is 0.5% per year.
a. How much interest over a 5-year
Answers
Answer:
300/75
Step-by-step explanation:
Cost of the Car = $15,000
a) Rate of interest received on savings(r) = 2%
Amount in savings account(p) =$3000
Time period(t) = 5 years
simple intrest.
Interest received on savings account = $300
b) Rate of interest on loan = 0.5%
IF P= 15000
intrest.
Difference between the interest = $75
c) Taking loan of the whole amount that is of $15,000 is more reasonable because though the interest is more but Troy will receive interest($300) from his savings account as well. But if he withdraws $3000 from savings and takes the loan for the rest of the amount, he would have no earnings.
jjjjjhfvkicdcghgfc ghcvh,glv,kghc ,h..
Answers
Answer:
0
Step-by-step explanation:
Given the formula A= P(1+r/n)nt you are investing $2,150 in savings account with an
interest rate of 3.315% compounded monthly. How much will you investment be worth after 15 years?
Answers
Answer:
3532.59341
Step-by-step explanation:
P= 2150
r= 3.315%
n= 12
t= 15
Could someone explain how to solve this please?
Answers
Step-by-step explanation:
the diagaonls of rectangle interscet at x
find the angle that a diagaonl makes a longer side of the rectangle
The table shows the final score of four golfers.
Golfer Final Score
Joe
-2
Allen
-5
Tara
-8
Violet
-4
Whose score was the lowest? Whose was the highest? Select your answers from the drop-down lists.
score was the lowest.
score was the highest.
Students, draw anywhere on this slide!
PER Deck eractive Skoe
Answers
Lowest is Tara because it the most far from 0
Answer:
Joe score was the highest. Tara score was the lowest.
Step-by-step explanation:
Find the next two terms in the sequence -3, 0, 3, 6
Answers
The rule is add 3 so yeah lol
Answer:
9, 12
Step-by-step explanation:
the rule is +3 for each step in the sequence
solve 4x-13=7x14 justify each step
Answers
Answer:
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*x-13-(7*x^14)=0
Equation at the end of step 1
(4x - 13) - 7x14 =
Pulling out like terms
3.1 Pull out like factors :
-7x14 + 4x - 13 = -1 • (7x14 - 4x + 13)
Equation at the end of step
-7x14 + 4x - 13 = 0
Equations of order 5 or higher:
4.1 Solve -7x14+4x-13 = 0
As Earth circulates the sun, it travels at a
speed of 20 miles per second. Convert
this speed to kilometers per second. At
this speed, how many kilometers will
Earth travel in 8 seconds? Assume that 1
mile is equal to 1.6 kilometers.
Answers
So it travels 32 kilometres per second
For the second part, if the earth travels 32 kilometres in 1 second, then it will travel 32 x 8 kilometres in 8 seconds, which is equal to 256 km
Order each set of rational numbers from least to greatest 2.1,-0.3,0.261,-2.5
Answers
Answer:
i think -2.5 -0.3 0.261 2.1
If you had 10 questions on a test and you got 3 wrong what percentage is that?
Answers
Answer:
70% right, 30% wrong
Step-by-step explanation:
3 is 30% of 10
Choose the equation that has m = 5 as the solution.
m + 4 = 20
m – 3 = 8
22 + m = 25
12 = m + 7
HElP ASAP!
Answers
Answer:
12 = m + 7
Step-by-step explanation:
When you plug in 5 to the above equation, you get 12 = 5 + 7. This is a true statement, so the answer is 12 = m + 7. Hope this helps!
1 less then the quotent of a number n and 6
Answers
" the quotient " means divide
(n/6) - 1 <== ur expression
LAST ATTEMPT MARKING AS BRAINLIEST!! (Pythagorean theorem )
Answers
Your welcome
Th stalest tree in the world is a red wood in red wood national and state parks .it is 379feet tall .how many yards is this
Answers
Answer:
126 1/3 yards
Step-by-step explanation:
1 foot = 1/3 yard
379 feet = 379/3 yard= 126 1/3 yards
If angle 1 is 110°, what would the other angle measures have to be in order for m || n andq || p?
Angle 2 = °
Angle 3 = °
Angle 4 = °
Answers
Answer:
8
Step-by-step explanation:
Answer:
ANGLE2=110° ANGLE3=70° ANGLE4=70°
snowboard is advertised to be 60% of the original price. If the sale price is $180, use a double number line determine the original price.
Answers
Step-by-step explanation:
60% of original price X = $180
60/100 × X = $180
60X/100= $180( cross multiply)
60X= 18000
X= 18000÷60
X= $300
Question 8 of 25
An English teacher has equal numbers of fiction, literature,
and poetry books. Each day, she randomly selects one book
to read from. She designs a simulation to estimate the
probability that the next three books she selects are all
literature.
Which simulation design could she use to estimate the
probability?
Answers
The simulation design could she use to estimate the probability is
Number cube
Let 1, 6 = literature
Let 2, 5 = fiction
Let 3, 4 = poetry
Roll the cube three times. Repeat.
What is simulation?Simulation is the process of creating a model or representation of a real-world system or process and conducting experiments with the model to observe how it behaves or performs under different conditions.
We have,
This simulation design assigns each book in the teacher's collection a unique number from 1 to 6, with literature books assigned the numbers 1 and 6, fiction books assigned the numbers 2 and 5, and poetry books assigned the numbers 3 and 4.
Rolling a number cube simulates the teacher randomly selecting a book each day, and repeating this process three times allows for the estimation of the probability that three consecutive selections will be literature books.
This simulation design is appropriate because it accurately represents the probabilities of selecting literature, fiction, and poetry books from the teacher's collection and allows for repetition to simulate multiple days of book selections.
Thus,
The simulation design could she use to estimate the probability is
Number cube
Let 1, 6 = literature
Let 2, 5 = fiction
Let 3, 4 = poetry
Roll the cube three times. Repeat.
Learn more about simulations here:
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Madie drove 200 miles at a speed of 50 miles per hour. Which equation will help you find the number of hours she was driving?
StartFraction 50 miles Over 1 hour EndFraction = StartFraction 200 miles Over question mark hours EndFraction
StartFraction 50 miles Over 1 hour EndFraction = StartFraction question mark hours Over 200 miles EndFraction
StartFraction 200 miles Over 1 hour EndFraction = StartFraction 50 miles Over question mark hours EndFraction
StartFraction 200 miles Over 1 hour EndFraction = StartFraction question mark hours Over 50 miles EndFraction
Answers
she drove for 4 hours
Answer:
the person above me is wrong its not an option for me ;-;
Step-by-step explanation:
6+√27/4-√3 can be written in the form r +s√3/13
where are both r and s integers
what are the values of r and s
Answers
[tex]r = \left(\dfrac{33}{13}\right)[/tex]
[tex]s = \left(\dfrac{10}{13}\right)[/tex]
Step-by-step explanation:
Let's multiply and divide the given fraction by the conjugate of the denominator:
[tex]\dfrac{6+\sqrt{27}}{4-\sqrt{3}}×\dfrac{4+\sqrt{3}}{4+\sqrt{3}}[/tex]
[tex]\;\;\;\;= \dfrac{24 + 6\sqrt{3} + 4\sqrt{3} + \sqrt{27}\sqrt{3}}{13}[/tex]
[tex]\;\;\;\;=\frac{1}{13}(24 + 10\sqrt{3} + \sqrt{81})[/tex]
[tex]\;\;\;\;=\frac{1}{13}(33 + 10\sqrt{3})[/tex]
[tex]\;\;\;\;=\left(\dfrac{33}{13}\right) + \left(\dfrac{10}{13}\right)\dfrac{\sqrt{3}}{13}[/tex]
We can see here that
[tex]r = \left(\dfrac{33}{13}\right)[/tex]
[tex]s = \left(\dfrac{10}{13}\right)[/tex]
The value of the variable 'r' and 's' will be 33 and 18, respectively.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The two equations are given below.
(6 + √27) / (4 - √3) and (r + s√3) / 13
Simplify the expression (6 + √27) / (4 - √3), then we have
[tex]\rightarrow \dfrac{6 + \sqrt{27}} { 4 - \sqrt3} \times \dfrac{4 + \sqrt3} { 4 + \sqrt3} \\\\[/tex]
⇒ [(6 + 3√3)(4 + √3)] / (4² - 3)
⇒ [(24 + 6√3 + 12√3 + 9)] / (16 - 3)
⇒ (33 + 18√3) / 13
Compare the expression (33 + 18√3) / 13 with (r + s√3) / 13, then the value of r and s will be given as,
r = 33
s = 18
The value of the variable 'r' and 's' will be 33 and 18, respectively.
More about the Algebra link is given below.
https://brainly.com/question/953809
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The population of certain city is projected to grow at the rate of r(t) = 400 1+ people/ 24 +7 year in interval (Osts 5) t years from now. The current population is 60 000. What will be the population 5 years from now?
Answers
The population 5 years from now would be 60482
The population growth rate is given as:
[tex]r(t) = 400(1 + \frac{2t}{24 + t^2})[/tex]
The value of t, 5 years from now is represented as:
t = 5
Substitute 5 for t in the function r(t).
So, we have:
[tex]r(5) = 400(1 + \frac{2 \times 5}{24 + 5^2})[/tex]
Evaluate the exponent
[tex]r(5) = 400(1 + \frac{2 \times 5}{24 + 25})[/tex]
Evaluate the products
[tex]r(5) = 400(1 + \frac{10}{24 + 25})[/tex]
So, we have:
[tex]r(5) = 400(1 + \frac{10}{49})[/tex]
Divide 10 by 49
[tex]r(5) = 400(1 + 0.204)[/tex]
This gives
[tex]r(5) = 400(1.204)[/tex]
Expand
[tex]r(5) = 481.6[/tex]
The current population is given as 60000.
So, the population (P) 5 years from now would be
[tex]P = 60000 + 481.6[/tex]
[tex]P = 60481.6[/tex]
Approximate
[tex]P = 60482[/tex]
Hence, the population (P) 5 years from now would be 60482
Read more about population functions at:
https://brainly.com/question/20115298
(8 pts)
7. Solve the following system using a matrix and converting the matrix to reduced row
echelon form, without introducing any fractions.
3x - 2y + 5z = -7
x – y + 3z = -5
4x + y + z = 6
Answers
Answer:
{x,y,z} = {-22/13,29/13,6/13}
Write the system as the following augmented matrix:
[tex]\left[ \begin{array}{ccc|c} 3 & -2 & 5 & -7 \\ 1 & -1 & 3 & -5 \\ 4 & 1 & 1 & 6 \end{array} \right][/tex]
Swap rows 1 and 2 :
[tex]\left[ \begin{array}{ccc|c} 1 & -1 & 3 & -5 \\ 3 & -2 & 5 & -7 \\ 4 & 1 & 1 & 6 \end{array} \right][/tex]
Eliminate the x coefficient from the last two rows by add -3 (row 1) to row 2, and -4 (row 1) to row 3 :
[tex]\left[ \begin{array}{ccc|c} 1 & -1 & 3 & -5 \\ 0 & 1 & -4 & 8 \\ 0 & 5 & -11 & 26 \end{array} \right][/tex]
Eliminate the y coefficient from the first and last rows by adding row 2 to row 1, and -5 (row 2) to row 3 :
[tex]\left[ \begin{array}{ccc|c} 1 & 0 & -1 & 3 \\ 0 & 1 & -4 & 8 \\ 0 & 0 & 9 & -14 \end{array} \right][/tex]
Eliminate the z coefficient from the second row by adding 4 (row 3) to 9 (row 2) :
[tex]\left[ \begin{array}{ccc|c} 1 & 0 & -1 & 3 \\ 0 & 9 & 0 & 16 \\ 0 & 0 & 9 & -14 \end{array} \right][/tex]
Eliminate the z coefficient from the first row by adding row 3 to 9 (row 1) :
[tex]\left[ \begin{array}{ccc|c} 9 & 0 & 0 & 13 \\ 0 & 9 & 0 & 16 \\ 0 & 0 & 9 & -14 \end{array} \right][/tex]
Then the solution to the system is (x, y, z) such that
9x = 13 and 9y = 16 and 9z = -14
or
x = 13/9 and y = 16/9 and z = -14/9
Which quantity is proportional to 40/8?
Answers
Answer:
5/1
10/2
15/3
20/4
25/5
30/6
35/7
Step-by-step explanation:
What is the value of
8x2 + 3x when x = 4?
Answers
Answer:
28
Step-by-step explanation:
8*2=16
3*4=12
Then you add 16+12
hopefully it helps
Answer:
76
Step-by-step explanation:
plug in 4 in the equation:
8(4)2 + 3(4) = 76
5. Jolene made 8 pink bracelets using
b beads on each bracelet and 7 blue
bracelets with b beads on each
bracelet. Which expression gives the
total number of beads she used?
Answers
Answer:
so she made 8 so
8*what ever the rest is
then she has b
8b plus what ever
then each one has 7 blue beads on each one
8(b+7)or 8b+56
Hope This Helps!!!
Answer:
Step-by-step explanation:
8b + 7b = Total Beads for the Pink(8) and Blue(7) bracelets
15b = Total beads
100 POINTS
Please HELP I THINK ITS THE ANSWER I CLICKED THAT HAS A BLUE CIRCLE BUT I dont know
Answers
a is equal to three less than twice b
Hope this helps!
Brainliest and a like is much appreciated!
Answer:
Option D
Step-by-step explanation:
Twice b means b is multiplied by 2 or 2b3 less than twice b means it's subtracted or 2b-3.The expression is a=2b-3
Mary has 18 ounces of apple chips she evenly portions the apple chips between four containers how many ounces of apple chips are in one container
Answers
Answer:
4.5 ounces
Step-by-step explanation:
18/4=4.5
4.5•4=18
Suppose theta is an angle in the standard position whose terminal side is in Quadrant II and tan0= -sqrt3 Find the exact values of the remaining five trigonometric functions of theta
Answers
The exact values of the remaining five trigonometric functions of theta are
sinθ = √3/2cosecθ = 2/√3cosθ = -1/2secθ = -2 cotθ = -1/√3Since tanθ = -√3.
The remaining five trigonometric functions of theta are sinθ, cosecθ, cosθ, secθ and cotθ.
The next trigonometric function of θ is cotθ.
cotθ = 1/tanθ
= 1/-√3
= -1/√3.
Also, tan²θ + 1 = sec²θ
Substituting tanθ = -√3 into the equation, we have
(-√3)² + 1 = sec²θ
3 + 1 = sec²θ
sec²θ = 4
secθ = ±√4
secθ = ±2
Since θ is in the quadrant II,
secθ = -2
Also, cosθ = 1/secθ
= 1/-2
= -1/2
Also, cot²θ + 1 = cosec²θ
Substituting cotθ = -1/√3 into the equation, we have
(-1/√3)² + 1 = cosec²θ
1/3 + 1 = cosec²θ
cosec²θ = 4/3
cosecθ = ±√(4/3)
cosecθ = ±2/√3
Since θ is in the quadrant II,
cosecθ = +2/√3
Also, sinθ = 1/cosecθ
= 1/2/√3
= √3/2
So, the exact values of the remaining five trigonometric functions of theta are
sinθ = √3/2cosecθ = 2/√3 cosθ = -1/2secθ = -2cotθ = -1/√3.Learn more about trigonometric functions here:
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Q10. Five t-shirts and a hat cost £83.00. Two t-shirts and a hat cost £38.00. How much does one t-shirt cost?
No spam links and plz write down the answer.
Answers
Step-by-step explanation:
Two t-shirts that are(31.80) plus a hat(6.20) cost £38.00.
which means that one t-shirt costs £15.90 :)