Answers
We know that:
9x + 4 and 3x + 16 are equivalent because of alternate inner angles.This means that:
[tex]9x + 4 = 3x + 16[/tex]Step-by step calculations:
Subtract 3x both sides.
[tex]9x + 4 = 3x + 16[/tex]⇒ [tex]9x - 3x + 4 = 3x - 3x + 16[/tex]⇒ [tex]6x + 4 = 16[/tex]Subtract 4 both sides.
⇒ [tex]6x + 4 = 16[/tex]⇒ [tex]6x + 4 - 4 = 16 - 4[/tex]⇒ [tex]6x = 12[/tex]Divide 6 both sides.
⇒ [tex]\frac{6x}{6} = \frac{12}{6}[/tex]⇒ [tex]x = 2[/tex]*Note that:-
9x+4= 3x+16 [Alternate interior angles]Using this equation we will solve for x and then find each angle...
[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]
[tex]9x + 4 = 3x + 16 \\ 9x + 4 - 3x = 16 \\ 9x - 3x = 16 - 4 \\ 6x = 12 \\ x = 2[/tex]
Now,[tex]\large{|\underline{\mathsf{\red{1}\blue{ ^{s} }\orange{^{t} }\pink{ \: }\blue{a}\purple{n}\green{g}\red{l}\blue{e}\orange{ \: }\green{↯}\red{}\purple{}\pink{}}}}[/tex]
[tex] \pmb{9x + 4} \\ \pmb{9 \times 2 + 4} \\ \pmb{18 + 4} \\ \boxed{ \tt \: ∠1 = 22 \degree }[/tex]
[tex]\large{|\underline{\mathsf{\red{2}\blue{ ^{n} }\orange{^{d} }\pink{ \: }\blue{a}\purple{n}\green{g}\red{l}\blue{e}\orange{ \: }\green{↯}\red{}\purple{}\pink{}}}}[/tex]
[tex] \pmb{3x + 16} \\ \pmb{3 \times 2 + 16} \\ \pmb{6 + 16} \\ \boxed{ \tt \: ∠2 = 22 \degree }[/tex]
Related Questions
solve for r. 1 + 3r > 10
Answers
Answer:
r >3
Step-by-step explanation:
1 + 3r > 10
Subtract 1 from each side
1-1 + 3r > 10-1
3r > 9
Divide by 3
3r/3 > 9/3
r >3
2. In 2014, Social Security tax was 6.2%,
on the first $117,000. If Grace earned
$98,750 in 2014, how much Social
security tax did she pay?
Answers
help please
i already know that g is not the answer
Answers
Answer:
The answer is H.
SLOPE CAN BE FOUND BY: Decrease(negative) and rise/run equation.
Y-INTERCEPT CAN BE FOUND BY: where the line touches the y-axis.
Help right away ASAP only right answers
Answers
Answer:
- 20/21
Step-by-step explanation:
Calculate the product
5/6 x (-8/7)
Multiplying a positive and a negative equals a negative
(+)x(-)=(-)
-5/6 x 8/7
Reduce the number with the greatest common factor 2
-5/3 x 4/7
Multiply the fractions
-20/21
Solution
-20/21
Alternate form
- 0.952380
Answer
Simplify the expression.
Exact Form:
−20/21
Decimal Form:
−0.952380
Step-by-step explanation:Please mark as brainliest!
I'm not sure if I'm right on this though
please can you solve this fast
Answers
Step-by-step explanation:
[tex] {x}^{2} + 8x = 0[/tex]
[tex] {x}^{2} + 8x + 16 = 16[/tex]
[tex](x + 4) {}^{2} - 16 = 0[/tex]
Which of the following numbers is divisible by 3, 5, and 10? OA) 15 B) 20 OC) 25 OD) 30
Answers
Answer:
30 is the correct answer because 3times 10 =30 5 times 6 is 30 and 10 times3 is also 30
Find the value of the missing variable(s). All figures are kites. (please don't leave any links...)
Answers
Answer:
Step-by-step explanation:
The values of x and y are required.
and
From the given figure the sides and are equal.
Also, and are equal.
So,
Hence, and
Can anyone solve this correctly?
Answers
Answer:
43.52 in.
Step-by-step explanation:
7 in. x 10.2 in. = 71.4 in.
4.1 in. x 6.8 in. = 27.88 in.
71.4 in. - 27.88 in. = 43.52 in.
Help...../..........///////////.
Answers
Answer:
The answer is C. $2.20 per lb
it is C 2.20 per pound
Step-by-step explanation:
because 2.20 x 5 = 11 hope
hope this helps
If x>-1, which number could be a value of x? O A. -1 O B. -7 O c. 1 O D.-13
Answers
Answer:
1
Step-by-step explanation:
all the other are less than -1 and since the rule is that x has to be greater than -1 its 1
simplify (5x-7) (2x+3) (7x-8)
Answers
Answer:
70x³ - 73x² - 155x + 168
Step-by-step explanation:
Given
(5x - 7)(2x + 3)(7x - 8) ← expand the first pair of factors using FOIL
= (10x² + x - 21)(7x - 8)
Each term in the second factor is multiplied by each term in the first factor, that is
10x² (7x - 8) + x(7x - 8) - 21(7x - 8) ← distribute the 3 parenthesis
= 70x³ - 80x² + 7x² - 8x - 147x + 168 ← collect like terms
= 70x³ - 73x² - 155x + 168
What is the area of a circle with a radius of 12 feet?
Answers
Answer:
[tex]144 \times \pi = 452.38[/tex]
Answer:
144π ft² or approximately 452.16 ft²
Step-by-step explanation:
The area of a circle is [tex]\pi r^2[/tex], where r = radius. We're given the radius as 12 feet. For pi, we can solve area in terms of pi or approximate pi to 3.14.
Approximation of Pi:
[tex]3.14 *12^2[/tex] [tex]3.14*144[/tex] [tex]452.16[/tex] 452.16 ft²In terms of Pi:
[tex]\pi *12^2[/tex] [tex]\pi *144[/tex] [tex]144\pi[/tex] 144π ft²A student correctly answered 35 of the 40 questions on a mathematics exam. What percent did she answer correctly?
Answers
Answer:
87.5%
Step-by-step explanation:
To find a percentage of questions correct divide the number of correct answers by the total number of questions and then multiply that by 100.
(35/40)100=87.5
Find the value of the variable in the parallelogram.
RZ = 4x + 2
SW=9x - 8
X=
Answers
Answer:
[tex]x=12[/tex]
Step-by-step explanation:
This parallelogram contains a right angle. This tells us that the parallelogram is a rectangle.
The diagonals in a parralelogram bisect each other.
The diagonals in a rectangle are congruent.
[tex]RZ+ZT=RT\\(4x+2)+(4x+2)=RT\\8x+4=RT[/tex]
[tex]RT=SW\\8x+4=9x-8\\4=x-8\\x=12[/tex]
how to Write 2 3/5 as a single fraction greater than one
Answers
Answer:
13/5
Step-by-step explanation:
Multiplying 5 and 2 and adding to 3 will give u the new numerator
Answer:
13/5 or 2.6
Step-by-step explanation:
2 3/5
2×5=10
10 + 3= 13
Put it in top of your original denominator
13/5 or 2.6
Which 2 numbers that are between -8 and 5/4? -4.0, 1.3%, -0.1, -1/4, 3/2, 130% Help me!!
Answers
Answer:
This is a "strategic" guess
Step-by-step explanation:
I think it is -0.1
What are all the statistical questions?
Answers
Explanation:
statistical question is a question that can be answered by collecting data that vary.
B is wrong bc it’s asking “why” - can’t collect data for that.
C is wrong bc it’s only asking for 1 piece of data.
D is wrong bc asking for 1 piece of data.
F is wrong bc asking for 1 piece of data.
If x = 16,justify if this value is a solution to the equation:2x-(x+3)=13
Answers
Answer:
true, when you substitute 16 for x and solve it adds up correctly
Answer:
13 = 13
so True
Step-by-step explanation:
x = 16
2(16)-(16+3)=13
32-19=13
13=13
WILL GIVE BRAINLIEST TO RIGHT ANSWER!!1
Answers
850 students so those with no participation would be 12% of 850, which is also 0.12*850. Only one sport would be 0.42*850. Two sports would be 0.28*850. Three or more sports would be 0.18*850.
No participation: 102 students
Only one sport: 357 students
Two Sports: 238 students
Three of more sports: 153 students
Answer:
No Participation: 102 students
Only One Sport: 357 students
Two Sports: 238 students
Three or More Sports: 153 students
Step-by-step explanation:
The percentages represent parts of the total.
To calculate the number of students, we would need to take a percentage of the total.
So for the No Participation group, we would take 12% of 850. "Of" indicates that we would multiply the terms together.
To multiply a %, we first need to convert it to a decimal by moving the decimal point to the left two times.
The No Participation group would then be 0.12 × 850 which equals 102.
The 1 sport group would be 0.42 × 850 = 357
The 2 sport group would be 0.28 × 850 = 238
And the 3+ sport group would be 0.18 × 850 = 153
If you invest $8,600 at a 3. 95% simple annual interest rate, approximately how long will it take for you to have a total of $21,000? a. 25. 3 years b. 36. 5 years c. 45. 9 years d. 60. 7 years.
Answers
The time needed to reach the amount of $21000 will be 36.5 years.
What will be the time to reach the amount $21000?It is given that
Principle = $8600
Rate = 3.95%
Total amount = $21000
So the total interest will be = Amount -principle = 21000-8600=$12400
So by using the formula
[tex]SI = \dfrac{P\times R\times T}{100}[/tex]
Here p = principle
R= Rate of interest
T= time
SI= interest amount
Now putting the values
[tex]12400= \dfrac{8600\times3.95\times T\time}{100}[/tex]
[tex]T=\dfrac{12400\times100}{3.95\times8600}[/tex]
[tex]\rm T=36.5 \ years[/tex]
Thus the time needed to reach the amount of $21000 will be 36.5 years.
To know more about simple interests follow
https://brainly.com/question/2294792
The height after t seconds of an object projected upward with an initial velocity of 48 feet per second from a 210-foot tower can be modeled by h=−16t^2 + 48t +210. The height of a neighboring 50-foot tall building is modeled by the equation h=50. The time (t) when the object will be at the same height as the building is found to be t = –2 and t = 5. Which statement BEST describes the validity of these solutions? A. Neither solution is valid since time values cannot be squared. B. The solution t = – 2 is the only solution since 5 seconds is an unreasonable amount of time for the object to reach a height of 50 feet. C. The solution t = 5 is the only valid solution to this system since time cannot be negative. D. Both are valid solutions to this system since both values make the equation h=−16t^2+ 48t + 210 true.
Answers
Given:
The height h of an object after t seconds is
[tex]h=-16t^2+48t+210[/tex]
The height of a neighboring 50-foot tall building is modeled by the equation h=50.
The time (t) when the object will be at the same height as the building is found to be t = –2 and t = 5.
To find:
The statement which describes the validity of these solutions.
Solution:
We have,
[tex]h=-16t^2+48t+210[/tex]
Here, t is the time in seconds.
For t=-2,
[tex]h=-16(2)^2+48(-2)+210[/tex]
[tex]h=-64-96+210[/tex]
[tex]h=50[/tex]
For t=5,
[tex]h=-16(5)^2+48(5)+210[/tex]
[tex]h=-400+240+210[/tex]
[tex]h=50[/tex]
So, the value of h is 50 at t=-2 and t=5.
We know that time is always positive so it cannot be negative value. It means t=-2 is not possible.
The solution t = 5 is the only valid solution to this system since time cannot be negative.
Therefore, the correct option is C.
Line segment XY has the coordinates X(–12, –6) and Y(5, 6). What is the approximate length of line segment XY?
A.
21.1 units
B.
20.8 units
C.
13.9 units
D.
12.5 units
Answers
Answer:
20.8
Step-by-step explanation:
One kilogram is approximately 2.2 pounds. An elevator in London shows a weight limit of 200
kilograms. How many pounds (lbs.) is this?
Answers
Answer:
440!!
Hope I helped! (and also if nobody said this today, remember that you´re loved) <33
x + 3=12 need help now someone please help me
Answers
Answer:
x = 9
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 3 from both sides of the equation:
x + 3 (-3) = 12 (-3)
x = 12 - 3
x = 9
x = 9 is your answer.
~
which is faster 220 newspaper in 55 mins or 135 newspapers in 45 mins. which one is the faster rate
Answers
Answer: 135 newspapers in 45 mins
Step-by-step explanation:
Tony purchased a rare 1959 Gibson Les Paul guitar for $12,000. Experts estimate that its value will increase by 14% per year. If this trend continues, how many years will it take for the guitar to reach a value of $90,000?
Answers
Answer: 214332.47
There is no need to explain you can just see the photo that I had displayed.
Ali saved Rs. 36. .
He spent 3/4 of his saving on a toy car.
What is the price of the toy car?
Answers
Answer:
₹ 108
Step-by-step explanation:
Let the money Ali saved be x
As he spent 3/4 of x, part of money save is (1/4) of x
[tex]\frac{1}{4}*x = 36\\\\[/tex]
x = 36*4
x = ₹ 144
Price of toy = 144 - 36 = ₹ 108
Ali saved Rs. 36. So, the saving of Ali is Rs. 36
Now he is spending some money for buying a toy car for him with his savings. He spent 3/4 of the saving for paying for the car.
So, Price of the car:
• 3/4 of the saving
Proceeding further mathematically,
➝ 3/4 × Rs. 36
➝ Rs. 108 / 4
➝ Rs. 27
Thus the price of the car is Rs. 27. And we are done...
Carry On Learning [tex]![/tex]
What is the slope of the line on the graph ? I’ll give you a like for answer plus I suck at math also this is k12 answer
Answers
Answer:
m= [tex]-\frac{1}{3}[/tex]
Explanation:
Formula is Y=mx+b
m equals the slope (rise/run each point).
x stays for an ongoing function.
b is the y intersect(You'll see that the line crossed +4 on the vertical line).
Looking at the line from left to right, it starts from the top to the bottom instead of button to top. If this slope goes down, it is negative.
[tex]y=-\frac{1}{3}x+4[/tex]
That is why [tex]m=-\frac{1}{3}[/tex] instead of [tex]m=\frac{1}{3}[/tex]
Molly bought a pair of gloves and a skirt. The gloves cost £4. She sold the gloves and skirt for a total of £48. She made 100% profit on the cost of the gloves, 20% profit on the total cost. Work out her percentage profit on the cost of the skirt. Give your answer to 1 decimal place.
Answers
Answer:
Profit % = 111.1 %
Step-by-step explanation:
Cost of glove = £4
Sales price of glove and skirt = £48
100% profits on the cost of the glove
20% profit on the total cost
Profit on the total cost = 20% = 0.20
Total cost + 0.20 total cost = Sale value
1.20 * total cost = 48
Total cost = 48 / 1.20
Total cost = 40
Cost of the skirt = Total cost - cost of the gloves
Cost of the skirt = 40 - 4
= 36
Price of the skirt = total value - price of the gloves
Total value = £48
100% of £4 = 100/100 * £4
= £4
Profits + cost of glove = $8
Amount remaining = £48 - £8
= £40
Profit percentage on the skirt = price of the skirt / cost of the skirt
= 40 / 36 * 100
= 1.1111 * 100
Profit % = 111.1 %
1. Find the area of this complex shape composed of two congruent parallelograms. 8 cm 5 cm
Answers
Answer:
80
Step-by-step explanation:
since it is a parallelogram, you can multiply it easily. 8x5+40 40x2+80