Find the measure of each angle 9-17. PLZZZ HELP will give brainliest!!!! Pleaseee help!!!!!
Answers
Answer:
Step-by-step explanation:
l║m and line t is the transversal line intersecting these parallel lines.
9). If m∠7 = 100°,
m∠3 = m∠7 = 100° [Since, ∠3 and ∠7 are alternate interior angles]
10). m∠7 = 95°
m∠6 + m∠7 = 180° [Consecutive interior angles]
m∠6 = 180° - m∠7
m∠6 = 180° - 95°
m∠6 = 85°
11. m∠1 = 120°
m∠1 = m∠5 = 120° [Alternate exterior angles]
12. m∠4 = 20°
Since, m∠4 = m∠6 = 20° [Vertically opposite angles]
And m∠6 + m∠7 = 180° [Consecutive interior angles]
20° + m∠7 = 180°
m∠7 = 160°
13. m∠3 = 140°
m∠3 + m∠6 = 180° [Linear pair of angles]
m∠6 = 180° - m∠3
= 180° - 140°
= 40°
m∠6 = m∠8 = 40° [Corresponding angles]
14. m∠4 = 30°
m∠4 + m∠1 = 180° [Consecutive exterior angles]
m∠1 = 180° - 30°
m∠1 = 150°
15. m∠4 = 40°
m∠4 = m∠2 = 40° [Corresponding angles]
16. m∠7 = 125°
m∠6 + m∠7 = 180° [Consecutive interior angles]
m∠6 = 180° - 125°
= 55°
m∠6 = m∠4 = 55° [Vertically opposite angles]
17. m∠1 + m∠3 = 230°
Since, m∠1 = m∠3 [Corresponding angles]
m∠3 + m∠3 = 230°
m∠3 = [tex]\frac{230}{2}[/tex]
= 115°
m∠3 + m∠6 = 180° [Linear pair of angles]
m∠6 = 180° - 115°
m∠6 = 65°
Related Questions
Given d=a and bcd=bca prove abc=dbc
Answers
Answer:
I'm dead that not even a question
13y-2x=3
slope intercept
Answers
Answer:
World shown below!
Step-by-step explanation:
Slope-intercept form: y = mx + b
13y - 2x = 3
Add 2x to both sides;
13y = 2x + 3
Divide both sides by 13;
[tex]y = \frac{2}{13}x+\frac{3}{13}[/tex]
Gabrielle found a recipe for soup that uses 5/6 cup of milk. If she uses half the recipe how many cups of milk should she use ?
Answers
Answer:
5/12 cups of milk.
Step-by-step explanation:
I may have misunderstood the question, but the answer is fairly simple. Let me know if I got it right. Hope I could help :)
Convert 245 yards to inches.
Answers
Answer:
8820
Step-by-step explanation:
Answer:
245 yards = 8820 inches
Step-by-step explanation:
multiply the length value by 36
I need to know if this is correct
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i thinks its correct.
Please look at the picture;;
I thought it was Y=7x-48 and I’m not sure what to do
Answers
9514 1404 393
Answer:
y = 7x -48
Step-by-step explanation:
Your answer is correct. You just need to write it in the box without the "y =".
__
The 2-point form of the equation for a line is ...
y = (y2 -y1)/(x2 -1x)(x -x1) +y1
y = (8 -(-6))/(8 -6)(x -6) +(-6)
y = 14/2(x -6) -6
y = 7x -42 -6
y = 7x -48
You probably want your answer to look like ...
[tex]y=\boxed{7x-48}[/tex]
NEED HELPPPPPPPPPP !
Answers
Answer:
5
Step-by-step explanation:
trust me im the smartest guy in the world
One year after you buy a tree, it is 12 feet tall. Each year after you buy the tree, it grows 4 feet. Write a function that represents the arithmetic sequence. How long does it take for the tree to reach its maximum height of 28 feet?
Answers
Answer:
5 years
Step-by-step explanation:
Since the tree grows 4 feet every single year and the second year it was 12 feet tall then that means that when you bought the tree it was 8 feet tall (12-4 = 8). Therefore, using these values we can write an equation to calculate the number of years it will take for the height of the tree to be 28 feet. We do this by multiplying 4ft by the variable of a number of years (x) and then adding that product to 8ft which is the initial height. All of which should add up to 28 ft.
28 ft. = 8 ft. + 4x ... subtract both sides by 8
20 ft. = 4x ... divide both sides by 4
5 years = x
Therefore, it will take 5 years from the initial purchase for the tree to be 28ft tall.
Solve
2x = -16
a.-8
b.8
c.1/8
d.-1/8
Answers
Answer:
A
Step-by-step explanation:
The correct answer will be A
Have a great day
i need help finding x
Answers
Answer: x = 6
ΔABC is a isosceles triangle at A
=> m∠B = m∠C
=> 4x + 56 = 80
⇔ 4x = 80 - 56 = 24
⇔ x = 24/4 = 6
Step-by-step explanation:
You are interested in estimating the the mean age of the citizens living in your community. In order to do this, you plan on constructing a confidence interval; however, you are not sure how many citizens should be included in the sample. If you want your sample estimate to be within 5 years of the actual mean with a confidence level of 94%, how many citizens should be included in your sample? Assume that the standard deviation of the ages of all the citizens in this community is 22 years.
Answers
Answer:
The sample size is [tex]n = 68 [/tex]
Step-by-step explanation:
From the question we are told that
The margin of error is [tex]E = 5 \ years[/tex]
The standard deviation is [tex]\sigma = 22[/tex]
From the question we are told the confidence level is 94% , hence the level of significance is
[tex]\alpha = (100 - 94 ) \%[/tex]
=> [tex]\alpha = 0.06[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.881[/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2[/tex]
=> [tex]n = [\frac{1.881 } * 22 }{5} ] ^2[/tex]
=> [tex]n = 68 [/tex]
What is the value of x in the equation 2(8%+4)-6+ 2%= 3(4%+3)+1
O 1
O 3
04.
O 6
Answers
Answer:
20 feet
Step-by-step explanation:
The speed of horse A is
The speed of horse B is
We define the speed as distance divided by time.
Given that the horses started the race at the same time (and assuming in the same position) we can write :
After 5 seconds for Horse A :
After 5 seconds, Horse A will have traveled 160 feet
After 5 seconds for Horse B :
After 5 seconds, Horse B will have traveled 140 feet
The difference between the distances :
is how much farther Horse A will have traveled.
After 5 seconds, The Horse A will have traveled 20 feet farther than the Horse B.
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Help me please, plato math test
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Step-by-step explanation:
What value does point P represent on the number line given?
–3.9
–3.1
–2.9
–0.3
Number line ranging from negative five to five, with the point P labeled between negative two and three
Answers
George and five of his friends are taking a trip to new York they decide to split the cost of the tolls equally if the total cost of the tolls is 21 how much would it be
Answers
what is the probability of spinning a spinner with 4 equal sections labeled 1, 2, 3, and 4 and landing on either 1 or 4
Answers
Answer:
the probability is 2 out of 4
Step-by-step explanation:
What is the height of a right triangle?
Answers
Answer:
b×h/2 b=base h-height so h=2 * area /b.
There is triangle ABC triangle XYZ is similar to ABC scale factor 1/4
Answers
Answer:
The side that is labeled as 7 is 28 the side that is labeled as 5 shoud be 20 the side that is labeled as 4 should be 16
Step-by-step explanation:
Sorry I cant take a screen shot with my computer but here is the explanation it says that the scale factor is 1/4 so I just did 1/4 ÷ 7,5,and 4
EXPRESAR CADA UNO DE LOS VALORES NUTRICIONALES DE LA NARANJA COMO FRACCIÓN. cuál es el valor nutricional total de la naranja
Answers
Answer:
This question is incomplete. You need to specify each of the nutritional values of the orange which are the following:
Fat: 0.2 Carbohydrates: 21.6 Sugars: 17.2 Proteins: 1.7 Water: 159.6 Dietary Fiber: 4.4Step-by-step explanation:
With this information we know that the total traditional value of an orange is 204.7 grams.
To transform each of these values into a fraction, we must place the same figure without decimals in the numerator and divide by a multiple of 10, with as many zeros as decimals the figure had and then we take the figure to its minimum expression
Fat 0.2 = 2/10 = 1/5 Carbohydrates = 21.6 = 216/10 = 108/5 Sugars = 17.5 = 175/10 = 35/2 Proteins = 1.7 = 17/10 Water = 159.6 = 1596/10 = 798/5 Dietary fiber = 4.4 = 44/10 = 22/5
This brings us to the following total nutritional value of the orange:
Total Nutritional Value = 204.7 = 2047/10
How much sales tax will be charged at Store B?
Answers
Answer:
7 % $94.50(SALES TAX) Question only asks for the SALES TAX THOUGH
Step-by-step explanation:
$1350.00 x .07 =$94.50
$94.50 is your sales tax on B
$1444.50 (total) x 15% gratuity is $1444.50 x .15 = $216.68
$1444.50 + $216.68 =$1661.18
$1661.18 x .02 =$33.22
$1661.18 + $33.22 = $1694.40 Total cost of your computer repair
Answer this one please and get free thanks if ur correct!
Answers
Answer: Option f i believe
Step-by-step explanation:
♡ The Question ♡
- Which of the following expressions represents the prime factorization of 196?
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
☆ The Answer ☆
- F. 2^2 x 7^2
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Explanation/Step-By-Step ♡
Your positive integer in this is 196, the prime factorization is 2 x 2 x 7 x 7 which in Exponential form is 2^2 x 7^2. Prime[1] = 2, Prime[4] = 7!
This leads to your answer being the first choice, F! Hope this helped!
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
☆ Tips ☆
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The cost of a meal at a local restaurant last year was $7.50. This year the meal costs $9.00. What is the percent increase of the meal price from last year to this year?
Answers
Answer:
20%
Step-by-step explanation:
Price increase
= 9.00-7.50
=$1.50
Percentage increase
=1.50/7.50 ×100%
=20%
A box contains 5 red and 10 white marbles. If 8 marbles are to be chosen at random (without replacement), determine the probability that (a) 4 will be red, (b) all will be white, (c) at least one will be red.
Answers
Answer:
a) 0.0023
b) 0.007
c) 0.993
Step-by-step explanation:
The total number of marbles are;
5 + 10 = 15
Probability of red = 5/15
Probability of white = 8/15
Probability of 4 being red means, 4 will be white too;
Thus, the probability without replacement will be;
5/15 * 4/14 * 3/13 * 2/12 * 10/11 * 9/10 * 8/9 * 7/8 =
0.002331002331 which is approximately 0.0023
b. All white
Here, we have all the marbles selected being white
Thus the probability without replacement will be;
10/15 * 9/14 * 8/13 * 7/12 * 6/11 * 5/10 * 4/9 * 3/8
= 0.006993006993 which is approximately 0.007
c. At least one will be red
Mathematically, that will be;
1 - p(no red)
p(no red) = p(all white)
P(all white) = 0.007
hence P(no red) = 0.007
P(at least one red) = 1 - 0.007 = 0.993
Using the hypergeometric distribution, it is found that there is a:
a) 0.1632 = 16.32% probability that 4 will be red.
b) 0.0070 = 0.7% probability that all will be white.
c) 0.993 = 99.3% probability that at least one will be red.
The marbles are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. N is the size of the population. n is the size of the sample. k is the total number of desired outcomes.In this problem:
There are 15 marbles, hence [tex]N = 15[/tex]There are 5 red marbles, hence [tex]k = 5[/tex].There are 8 marbles chosen, hence [tex]n = 8[/tex]Item a:
This is P(X = 4), hence:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 4) = h(4,15,8,5) = \frac{C_{5,4}C_{10,4}}{C_{15,8}} = 0.1632[/tex]
0.1632 = 16.32% probability that 4 will be red.
Item b:
0 red, hence P(X = 0).
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,15,8,5) = \frac{C_{5,0}C_{10,8}}{C_{15,8}} = 0.0070[/tex]
0.0070 = 0.7% probability that all will be white.
Item c:
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
From item b:
[tex]P(X \geq 1) = 1 - 0.007 = 0.993[/tex]
0.993 = 99.3% probability that at least one will be red.
A similar problem is given at https://brainly.com/question/24320200
3x-1/4y=-2 solve for y
Answers
Answer:
y= 1/4(2+3x)
Step-by-step explanation:
The solution of the expression for the value of y is y = 8 + 12x.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The given expression is 3x-1/4y=-2. The value of y will be calculated as below:-
3x-1/4y=-2
-(1/4)y = -2 - 3x
y = 4 ( 2 + 3x)
y = 8 + 12x
Therefore, the solution of the expression for the value of y is y = 8 + 12x.
To know more about an expression follow
https://brainly.com/question/723406
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David drove 172 miles in 4 hours. If he drove at a constant rate, how far did
he travel in one hour?
Answers
Madeline solved this problem: A basketball player made 10 shots and scored 26 points. She made only two-point and three-point shots. How many of each type of shot did she make? Complete the statement about Madeline’s solution. Math item stem image CLEARCHECK In Madeline's solution, 6 is the number of -point shots and 4 is the number of -point shots.
Answers
Answer:
six is 3 pointers 4 is the 2 pointers
Step-by-step explanation:
If F(x) =
2x-3/5
which of the following is the inverse of F(x)?
Answers
let the f(x) be x
2x-3/5=y
or,2x-3= 5y
or, x= 2y-3/5
inter changing the relation of x and y
x= 2y-3/5
:. f(x)= 2x-3/5
Step-by-step explanation:
2y-3/5 is the inverse of f(x)
Find the gcf for 18 36 81
Answers
Answer:
9
Step-by-step explanation:
Factors of 18 : 1,2,3,6,9,18
Factors of 36: 1,2,3,4,6,9...
Factors of 81: 1,3,9...
The scale for a map to actual distance is 2 cm to 100 miles. The driving distance on the map between Los Angeles and Las Vegas is 4.5 cm. What is the actual distance in miles between Los Angeles and Las Vegas?
Answers
Answer:
225 miles
Step-by-step explanation:
We start by converting it into a fraction, then multiply by the quantity
[tex]\frac{100 miles}{2 cm} *4.5 cm =225 miles[/tex]
what fraction breaks 48 into 8 equal pieces
Answers
Answer:
48/6 = 8
Step-by-step explanation:
a) 5x/2+ 1 = 11
b) 2x/7- 3 = 2
