Answers
Answer:
The measure of angle 6 is 72.
The measure of angle 7 is 108.
Step-by-step explanation:
Corresponding angles are equal. So angle 1, 3, 5 and 7 are all equal.
If you look at angle 1 and 2, they are adjacent angles, so together they add up to 180. So if you subtract 108 from 180 you get 72... and we already established that all corresponding angles are equal, so if angle 2 is 72 degrees, we can conclude that angle 6 is as well.
Related Questions
Which expression is equivalent to x² - 4x - 45?
А
(x - 9)(x - 5)
B
(x + 9)(x+5)
(20 +9)(x - 5)
D
(x - 9)(x+5)
Answers
Answer:
D. (x - 9)(x+5)
Step-by-step explanation:
[tex]x^{2} - 4x - 45[/tex] is your expression, so you have to factor it out. Since from the options available it's clear that the factors of -45 you use are some form of 9 and 5, we can use the process of elimination to figure out which are the correct ones.
First, through FOIL u know that in any factored form the last two terms in each bracket multiply together to make the last term in the expanded form.
So first, look at A. the last two terms are -9 and -5, which = 45 when multiplied together. 45 does not = -45, so it can't be A.
B has 9 and 5. When they're multiplied, they = 45, which does not = -45, so its not B
It can't be C either, because the first term of the first bracket in C is 20, and when multiplied with x it doesn't produce x^2.
Therefore it has to be D. u can check this by multiplying -9 and 5, which = -45, the final term in the expanded form. Also, -9 + 5 = -4, which is the middle term of the expanded form.
The equivalent expression to x² - 4x - 45 is (x - 9)(x + 5), which corresponds to option A.
To factor the quadratic expression x² - 4x - 45, we need to find two binomials that, when multiplied, give us the original expression.
We look for two numbers whose product is -45 (the coefficient of the constant term) and whose sum is -4 (the coefficient of the linear term, -4x). After some exploration, we find that the numbers -9 and 5 satisfy these conditions.
Thus, we can express x² - 4x - 45 as (x - 9)(x + 5). This is because when we multiply the two binomials (x - 9) and (x + 5) using the distributive property, we obtain the original quadratic expression.
This factored form, (x - 9)(x + 5), represents the equivalent expression to x² - 4x - 45.
To learn more about the quadratic equation;
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The previous balance on Hector Todd's savings account is $618.21. He has $4.31 in
interest, $466.26 in deposits, and $10.10 in withdrawals. What is his new balance?
$1,068.78
$1,078.68
O $1,178.68
$1,078.90
Answers
Answer:
$1,078.68
Step-by-step explanation:
Here, we want to calculate the balance
That would be adding interest plus deposit plus balance minus withdrawals
That would be;
618.21 + 466.26 + 4.31 - 10.10 = $1,078.68
Skylar is answering the following math problem: The value of an investment decreased by 10%. The original amount of the investment was $75.00. What is the current value of the investment? Skylar said 10% of $75.00 is $7.50, and since the investment decreased by that amount, you have to subtract $7.50 from $75.00 to arrive at the final answer of $67.50. Create one algebraic equation that can be used to arrive at the final answer of $67.50. Solve the equation to prove it results in an answer of $67.50. Be prepared to explain your thought process to the class.
Answers
Answer:
The given parameters of the investment are;
The rate of decrease of the investment, r = -10%
The original amount of the investment, P = $75.00
Let 'A' represent the final answer (value of the investment) after the decrease in the investment, 'r', is applied, we have;
The algebraic equation that can be used to arrive at the final answer, 'A', is given as follows;
A = P + r·P
Therefore by substituting the given values, we have;
A = $75.00 + (-10/100) × $75.00 = $75.00 - 0.1 × $75.00 = $75.00 - $7.50
A = $75.00 - $7.50 = $67.50
The final amount or answer, A = $67.50
Step-by-step explanation:
Tell whether the sequence is arithmetic. If it is what is the common difference? 1, 9/10, 4/5, 7/10
Answers
Answer:
the answer is D
Step-by-step explanation:
The common difference of the arithmetic sequence 1, 9/10, 4/5, 7/10 is -1/10.
What is arithmetic sequence ?An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.
The given arithmetic sequence is,
1, 9/10, 4/5, 7/10
The first term of the sequence a = 1
The common difference of the arithmetic sequence is the difference between two consecutive terms.
d = 9/10 - 1
d = - 1/10
The common difference of the given arithmetic sequence is - 1/10.
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Solve the simulataneous equations. 5x-4y=19 x+2y=8
Answers
Answer:
(5, 1.5 )
Step-by-step explanation:
Given the 2 equations
5x - 4y = 19 → (1)
x + 2y = 8 → (2)
Multiplying (2) by 2 and adding to (1) will eliminate the y- term
2x + 4y = 16 → (3)
Add (1) and (3) term by term to eliminate y
7x + 0 = 35
7x = 35 ( divide both sides by 7 )
x = 5
Substitute x = 5 into either of the 2 equations and solve for y
Substituting into (2)
5 + 2y = 8 ( subtract 5 from both sides )
2y = 3 ( divide both sides by 2 )
y = 1.5
solution is (5, 1.5 )
PLs answer correctly will mark brainliest, 40 points
Answers
Answer:
A, C, AStep-by-step explanation:
Use properties
(mᵃ)ᵇ = mᵃᵇmᵃ*mᵇ = mᵃ⁺ᵇ10.
(-t⁴)³ = -t⁴ˣ³ = -t¹²Option A11.
(t⁸)² = t⁸ˣ² = t¹⁶Option C12.
(x⁻³)⁻⁵x⁶ = x⁽⁻³⁾ˣ⁽⁻⁵⁾x⁶ = x¹⁵x⁶ = x¹⁵⁺⁶ = x²¹Option AThe lines shown below are parallel. If the green line has a slope of 5, what is
the slope of the red line?
A: -5
B: 5
C: -1/5
D: 1/5
Answers
Answer:
5
Step-by-step explanation:
For two lines to be parallel, they must have the same slope
since the slope of the green line is 5, the the red line will have the same slope as the green line,
The slope of the red line will therefore be 5
Which of the following best describes interest as it relates to credit?
A. Additional money earned for having an account
B. The limit for which an individual may use credit
C. The charge for the privilege of borrowing money
D. The total amount a borrower must repay a lender for a loan
Answers
Answer:
C
Step-by-step explanation:
Let's say you wanted to buy a television. The television cost $200 but you only have $100, so you ask your friend for some money. Your friend says they will give you money but you have to pay them back and pay them interest. So when you go pay them, you pay them $100 dollars along with the amount of money your friend wants you to pay them for borrowing their money. In the end you could end up giving them 120 instead of 100.
C. The charge for the privilege of borrowing money
Hope this helps you and you past your test good luck too you.
The steps used to solve the equation 4x + 3 = 15 for x are shown below.
4 +3 = 15
Step I: 4 = 12
Step II: = 3
Answers
Answer:
4x + 3 = 15
4x=15-3
x=12/4
x=3
Please help me I will really appreciate it
Answers
Answer:
y = 5x - 2
Step-by-step explanation:
The equation at the bottom is already in slope-intercept form, or y = mx + b format. It lacks one missing piece: b, or the y-intercept. However, the slope of the equation must be 5, because the number in place of the m equals the slope.
So, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex], and substitute [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values. From there, we can isolate y to receive the full equation in slope-intercept form.
Since m represents the slope, substitute 5 in its place. Since the [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, choose any of the points provided and substitute its values into the formula. (Either one is fine, and I chose (1,3).) From there, isolate y to find the slope-intercept form and answer:
[tex]y-(3) = 5 (x-(1))\\y - 3 = 5(x-1)\\y - 3 = 5x -5\\y = 5x - 2[/tex]
John want to buy a pair of boots that originally cost $85.99 He found a coupon for %30 off what will he pay for the boots?
Answers
Answer:
$60.19
1.) 85.99 x 0.30
2.) 25.797 - 85.99
3.) 60.193
4.) round
$60.19
Hope this helped!
Answer:
John is paying $60.19 for the boots after 30%off.
Step-by-step explanation:
$60.193 or $60.19
Indicate whether the following question is a statistical question. Explain why or why not.
How much does Susan’s dog weigh?
Answers
X is less than or equal to-86
Answers
Answer:
x≤-86
Step-by-step explanation:
Here some math for you guys
Answers
Answer:
UNDEFINED
Step-by-step explanation:
I CACULATED IT ON A ADVANCED CACUALTOR ANY IT DOSENT SAY ANYHITNG LOL
Answer:
1.8
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
x ≈ 1.78522264
x ≈ 1.8
Nathan and Matt plan to paint a house. If Nathan works alone, it will take
10 days. If Matt works alone, it will take 15 days. How many days will it
take to finish the job if they work together?
Answers
Matt= 1/15 of the job per day
3/30 + 2/30. =5/30
1/(5/30) = 30/5. Or 6 days for both working together.
А
х+8
2х - 5
В
10
14
C
Answers
Answer: Option B
Step-by-step explanation:
For f(x) = 2x -1 what is f(5)?
Answers
Answer:
shuqhsuwbe
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
f(x)=2x-1
f(5)=2(5)-1=10-1=9
Simplify the following expression 3°?
Answers
Answer: 1
Anything to the 0 power is 1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
As you may already know, the number (the base) to the power (the exponent) is how many times you multiply the base. For instance:
3² = 3 * 3
3³ = 3 * 3 * 3
However, anything to the zeroth power is 1.
Why?
Well, for those above examples, take 3², you can also write it as:
3² = 1 * 3 * 3
It's just 1 times how many of that number. In 3 squared, there are twos 3's, not to be confused with 3 * 2.
In 3 to the zeroth power, there are zero 3's:
3° = 1
Now it has only the one.
This is just the way I was taught to think about it, but I'm sure there's a better explanation than mine.
Kara ran 5 miles yesterday. She ran again today. Her total distance for
both days is 6.5 miles. If she ran at a pace of 6 miles per hour today,
how long did Kara run today?
Answers
9514 1404 393
Answer:
15 minutes
Step-by-step explanation:
We can let t represent the time in hours that Kara ran today. Then her distance today is ...
distance = speed · time
distance = 6t
Her total distance for both days is ...
5 + 6t = 6.5
6t = 1.5 . . . . . . . . . . subtract 5
t = 1.5/6 = 1/4 . . . . . divide by 6
Kara ran 1/4 hour today. That is 15 minutes.
Plz help meeee !!!!!
Answers
i need help with this
Answers
Answer:
His car is slowing down.
Step-by-step explanation:
During section C, the car decreased in speed (the slope is negative). This is the definition of 'slowing down', hence the answer.
Answer:
C. His car is slowing down.
Step-by-step explanation:
The slope is going downwards, so this means that he is going slower.
I need help solving this problem, please respond as fast as you can.
-7 – 3x = 1x + 4(2 + x)
Answers
Answer:
x = -15/8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
-7 - 3x = 1x + 4(2 + x)
Step 2: Solve for x
Distribute 4: -7 - 3x = x + 8 + 4xCombine like terms: -7 - 3x = 5x + 8[Addition Property of Equality] Add 3x on both sides: -7 = 8x + 8[Subtraction Property of Equality] Subtract 8 on both sides: -15 = 8x[Division Property of Equality] Divide 8 on both sides: -15/8 = xRewrite/Rearrange: x = -15/8Allister's father is 120% of Allister's height. If his father measures 180 cm, how tall is Allister?
Answers
Answer:
1.2*a=180
a=180/1.2
a=150 cm
Step-by-step explanation:
Answer:
a=180
Step-by-step explanation:
Carter bikes 1/4 mile in
5/6 minutes. At this rate, how many minutes does it take Carter to bike 1 mile?
Answers
Answer:
If Carter bikes 1/4 mile in 5/6 minutes, he bikes 1/4 mile in 50 seconds. (5/6 of a minute is equal to 50 seconds)
At this rate, if Carter bikes 1/4 mile in 50 seconds, he will be able to bike 2/4 of a mile in 100 seconds, 3/4 of a mile in 150 seconds, and a whole mile (4/4) in 200 seconds.
Converting 200 seconds to minutes, we have that it takes Carter 3 1/3 minutes to bike 1 mile.
Let me know if this helps!
Denise makes three times as many chocolate cupcakes as vanilla cupcakes. She also makes three dozen strawberry cupcakes. If Denise makes 132 cupcakes, how many dozen chocolate cupcakes does she make?
Answers
Answer:
6 dozens
Step-by-step explanation:
Vanilla, v = x
Chocolate, c = 3x
Strawberry, s = 3 dozens = 36
Total cupcakes = 132
Hence,
x + 3x + 36 = 132
4x = 96
x = 96 / 4
x = 24
Chocolate = 3 * 24 = 72
Dozens of chocolate = 72 /12 = 6 dozens
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Complete the following proof.
Given: RS tangent to circle A and circle B
at points R and S
Prove: AR parallel to BS
Answers
Step-by-step explanation:
Statements
1.RS tangent to circle A and circle B at point R and point S
2.AR is perpendicular to RS, BS is perpendicular to RS
3.AR is parallel to BS
Reasons
1.Given
2.Radius are perpendicular to tangent
3. 2 lines perpendicular to the same line are parallel to each other
factor 63q + 49 write your answer as a product greater than 1.
Answers
Answer:
7(9q+7)
Step-by-step explanation:
Hopefully this is helpful to you!
Angles A and B are complementary. Angle A is 63º . Find the
measure of angle B.
a 87°
b 97°
C 27°
d 77
Answers
Answer:
C, 27 degrees
Step-by-step explanation:
complementary is 2 angles that their measures add to 90 degrees;
90-63=27
27 degrees
uwu
When a moving object collides with an object that isn’t moving, what happens to the kinetic energy of each object?
Answers
Alejandro put down a deposit of $75.00 on a graduation ring, and he then began making weekly payments of $12.50 until the ring was fully
paid for.
If the price of the graduation ring was $225.00, how many weekly payments of $12.50 did Alejandro make?
Answers
Answer:
12 weekly payments
Step-by-step explanation:
Here, we want to get the number of weeks in which he made payment for the ring
We start by subtracting the deposit,
That would be;
225-75 = 150
Now, we proceed to divide what ie left by the weekly payment to get the number of weeks
That would be;
150/12.5 = 12
Answer:
12 weekly payments
Step-by-step explanation:
Here, we want to get the number of weeks in which he made payment for the ring
We start by subtracting the deposit,
That would be;
225-75 = 150
Now, we proceed to divide what ie left by the weekly payment to get the number of weeks
That would be;
150/12.5 = 12
Step-by-step explanation: