Find the measure of angle x in the figure below: A.) 65° B.) 70° C.) 110° D.) 125°
Answers
Answer: 70ᴼ
Step-by-step explanation:
The triangles are vertical so their angle measures are congruent.
The angles of a triangle add to equal 180ᴼ.
55 + 55 = 110
180 - 110 = 70
Related Questions
PLEASE HELP IMAGE ATTACHED!!
Answers
Answer:
Step-by-step explanation:
Parallel lines have same slope
19) y = x - 4
m = 1 ; (2, 3 )
Equation: y - y₁ = m(x- x₁)
y - 3 = 1(x - 2)
y - 3 = x -2
y = x - 2 + 3
y = x + 1
20) 2x + 3y = 3
We have to write in y = mx + b form
3y = - 2x - 3
[tex]y=\frac{-2}{3}x-\frac{3}{3}\\\\y=\frac{-2}{3}x-1\\\\m=\frac{-2}{3}[/tex]; (-6, -1)
[tex]y-[-1]=\frac{-2}{3}(x-[-6])\\\\y+1=\frac{-2}{3}(x+6)\\\\y+1=\frac{-2}{3}x+\frac{-2}{3}*6\\\\y+1=\frac{-2}{3}x-4\\\\y=\frac{-2}{3}x-4-1\\\\y=\frac{-2}{3}x-5[/tex]
for perpendicular lines, m2 = -1/m1
21) y = 2x+ 5
m1 = 2
[tex]m_{2}=\frac{-1}{2}[/tex]; (-2,8)
[tex]y-8=\frac{-1}{2}(x-[-2])\\\\y-8=\frac{-1}{2}(x+2)\\\\y-8=\frac{-1}{2}x+2*\frac{-1}{2}\\\\y-8=\frac{-1}{2}x-1\\\\y=\frac{-1}{2}x-1+8\\\\y=\frac{-1}{2}x+7[/tex]
22) x+ 4y = 8
4y = -x + 8
[tex]y=\frac{-1}{4}x+\frac{8}{4}\\\\y=\frac{-1}{4}x+2\\\\m_1=\frac{-1}{4}\\\\m_{2}=4\\\\[/tex]
m2 = 4; (-2,-11)
y - [-11] = 4(x -[-2])
y + 11 = 4 (x + 2)
y + 11 = 4x + 8
y = 4x + 8 - 11
y = 4x - 3
An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated. Draw the possibility diagram of the product of the two numbers appearing on the die in each throw Use the possibility diagram to calculate the probability that the product of the two numbers is A prime number Not a perfect square A multiple of 5 Less than or equal to 21 Divisible by 4 or 6
Answers
Answer:
(a)See below
(b)I) 0.125 (ii)0.828125 (iii)0.234375 (iv) 0.625 (v)0.65625
Step-by-step explanation:
When an 8-sided die is rolled twice, the sample space is the set of all possible pairs (a,b) where a is the 1st outcome and b is the 2nd outcome.
The sample space is:
[tex][(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),(1, 7),(1, 8)\\(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),(2, 7),(2, 8)\\(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),(3, 7),(3, 8)\\(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),(4, 7),(4, 8)\\(5, 1), (5, 2), (5, 3), (5, 4), (5, 5),(5, 6),(5, 7),(5, 8)\\(6, 1), (6, 2), (6, 3), (6, 4)(6, 5),(6, 6),(6, 7),(6, 8)\\(7, 1), (7, 2), (7, 3), (7, 4)(7, 5),(7, 6),(7, 7),(7, 8)\\(8, 1), (8, 2), (8, 3), (8, 4)(8, 5),(8, 6),(8, 7),(8, 8)][/tex]
PART A
The sample space of the product a*b of each pair forms the required possibility diagram.
This is given as:
[tex]1, 2, 3, 4, 5, 6,7,8\\2, 4, 6, 8, 10, 12,14,16\\3,6,9,12,15,18,21,24\\4,8,12,16,20,24,28,32\\5,10,15,20,25,30,35,40\\6,12,18,24,30,36,42,48\\7,14,21,28,35,42,49,56\\8,16,24,32,40,48,56,64[/tex]
PART B
I) A prime number
The number of products that gives prime numbers = 8
The probability that the product is a prime number
[tex]=\dfrac{8}{64}= \dfrac{1}{8}\\=0.125[/tex]
ii) Not a perfect square
Number of products that results in perfect squares =11
The probability that the product is not a perfect square
[tex]=\dfrac{64-11}{64}= \dfrac{53}{64}\\=0.828125[/tex]
iii) A multiple of 5
Number of products that are multiples of 5=15
The probability that the product is a multiple of 5
[tex]=\dfrac{15}{64}\\=0.234375[/tex]
iv) Less than or equal to 21
Number of products which are less than or equal to 21=40
The probability that the product less than or equal to 21
[tex]=\dfrac{40}{64}=\dfrac{5}{8}\\=0.625[/tex]
v) Divisible by 4 or 6
Number of products divisible by 4 or 6= 42
The probability that the product is divisible by 4 or 6
[tex]=\dfrac{42}{64}=\dfrac{21}{32}\\=0.65625[/tex]
local maximum of y=2x3+x2−7x−6.
Answers
Answer:
I did as linear equation hope it helps
Which of the following proves ALMN= AOPQ?
Answers
Answer:
Step-by-step explanation:
From the figure attached,
Given : LM ≅ OP
PQ ≅ MN
NL ≅ QO
To Prove : ΔLMN ≅ ΔOPQ
In the triangles LMN and OPQ,
Statements Reasons
1). LM ≅ OP 1). Given
2). PQ ≅ MN 2). Given
3). NL ≅ QO 3). Given
4). ΔLMN ≅ ΔOPQ 4). By SSS property of congruence
10. Julio is driving to the store. The average distance d, in miles, he travels over t minutes is given by the
function d(t) = 0.5t. What is the value of the function when t = 15?
Answers
Answer:
7.5 miles
Step-by-step explanation:
Given the equation d(t) = 0.5t, all you need to do is plug in the value of t.
They're asking what the Function equals, and they're giving you the value of the variable t.
To solve, write the equation d(15) = 0.5(15)
And if you simplify the right side of the equation, you'll find that
d(15) = 7.5
If t represents time, then you can conclude that Julio travels 7.5 miles in the time t, of 15 minutes.
What is the range of the data show in the frequency table? Age Tally Frequency 24 | 1 25 || 2 26 5 27 |||| 4 28 0 29 |||| 4 5 3 4 13
Answers
Answer:
The range of the data is 9.
Step-by-step explanation:
The frequency table shown is:
Age Tally Frequency
24 | 1
25 || 2
26 ||||| 5
27 |||| 4
28 - 0
29 |||| 4
30 ||||| 5
31 ||| 3
32 |||| 4
33 13
The range of a data set is the difference between the highest and the lowest value.
Range = Maximum - Minimum
= 33 - 24
= 9
Thus, the range of the data is 9.
Answer:
3
Step-by-step explanation:
20 points help babes!!!!!
Answers
Answer:
Brainliest if correct!
Step-by-step explanation:
6561
9^4
the first one!!!
Each term in the sequence below is equal to the sum of two previous terms.
...a,b,c,d,e,f....
All of the following are equal to the value of "d" EXCEPT...
A. e-c
B. b + c
C. a + 2b
D. e - 2b
E. f-e
Answers
Hey there! :)
Answer:
D, e - 2b.
Step-by-step explanation:
Check each answer choice using the pattern given:
A. e - c = d because c + d = e. This is correct.
B. b + c = d. This is correct.
C. a + 2b = d because c = a + b. This is correct.
D. e - 2b ≠ d. This is incorrect.
E. f - e = d because d + e = f. This is correct.
Therefore, the only answer that does not equal "d" is D, e - 2b.
What is the equation of the graph line with in standard form X=-3Y =-3X +Y=-3X-Y= -3
Answers
Answer:6
Step-by-step explanation:
5776 students are sitting in an auditorium in such a manner that there are as many as
students in a row as there are rows in the auditorium.. How many rows are there in the
auditorium?(76)
Answers
Answer:
Hope it will helpful.Follow for more answers.
Set up the problem, but use a calculator to find the number of outcomes for the permutation. Eight horses run a race. In how many ways can the first three finishers turn out?
Answers
Explanation:
Label the slots A,B,C for first through third place.
There are 8 choices for slot A, 7 for slot B, and 6 for slot C. We start with 8 and count our way down until we get to the final slot. Then we multiply out those values
8*7*6 = 336
There are 336 ways to select three people from a pool of eight overall.
-----------------
If you want to use the permutation formula, then your steps might look like this
[tex]_n P _r = \frac{n!}{(n-r)!}\\\\_8 P _3 = \frac{8!}{(8-3)!}\\\\_8 P _3 = \frac{8!}{5!}\\\\_8 P _3 = \frac{8*7*6*5!}{5!}\\\\_8 P _3 = 8*7*6\\\\_8 P _3 = 336\\\\[/tex]
Note how the 5! terms cancel out on the second to last step, leaving behind the expression 8*7*6 which was found earlier.
PLEASE HELP I DONT KNOW WHAT TO DO !! I APPRECIATE IT IF YOU HELP ME !
Answers
Answer:
x = ±20
Step-by-step explanation:
x^2 -1=399
Add 1 to each side
x^2 = 399+1
x^2 = 400
Take the square root of each side
sqrt(x^2) = ±sqrt(400)
x = ±20
SOMEONE PLS HELP !! In a randomly generated list of numbers from 0 to 4, the chance that each number can occur is 1/4. True or False?
Answers
Answer:
False
Step-by-step explanation:
This is false because there are 5 numbers from 0 - 4 (0, 1, 2, 3, 4) so the probability will be 1/5 not 1/4.
1) 2a × 2b 2) 3a × 2b × 2a 3) 2a × 4b × b 4) 3b × 2a × b 5) 3a × 2b × 2c 6) 2a × 3b × b × c 7) a × 4b × 2a × 2c 8) 3a × 3b × 3c
Answers
Step-by-step explanation:
1) = 4ab
2) 12a2b
3) 8ab2
4) 6ab2
5) 12abc
6) 6ab2c
7) 16a2bc
8) 27abc
Three-fifths of the members of the Spanish club are girls. There are a total of 30 girls in the Spanish club.
Which statements can be used to solve for x, the total number of members in the Spanish club? Select three options
Answers
Problem: You do not have an attached picture. Though, I can help you out with this question.
So, three-fifths of the members are girls. There are 30 of girls. We can immediately make an equation using "x".
3/5x=30
3/5x × 5/3=30 × 5/3
x=50
Thus, there are 50 members in total. Though if x is too hard for you, you may substitute it by using another variable.
Variable in here is x.
0.0995 rounded to 3 decimal places
Answers
Answer:
0.100
Step-by-step explanation:
0.0995 has 4 decimal places
5>4 so round up
9 turns to 10, the 1 is "added on" to the number ahead
9 turns to 10 again, the 1 is "added on" to the number ahead
0 turns to 1
you are left with 0.100
Answer:
0.100
Step-by-step explanation:
Three decimal places: 0. 0 / 9 / 9 / 5
Rounding number: 0. 0 / 9 / 9 / 5
Since it is 5, add 1 to the second 9. This will result to 0 while adding 1 to the first 9. Again, this would result to 10 which will add 1 to the next number, 0.
0.1000
Since the question wants you to round three places, you were not told to remove the zeros in those decimal places. So only remove the last 0.
0.100 is the answer
A fair dice is rolled 3 times in a row. The outcomes are shown below. Calculate the probability of all three events occurring. Roll Outcome 1st 5 2nd factor of 6 3rd more than 1
Answers
Answer:
5/54
Step-by-step explanation:
probability of the dice being 5 = 1/6
probability of the dice being a factor of 6 = 4/6
probability of the dice being more than 1 = 5/6
1/6 * 4/6 = 4/36
4/36 * 5/6 = 20/216
20/216 simplified to lowest is equal to 5/54
Yvette graphs the equivalent ratios shown in the table. Pineapples 1 2 3 4 Oranges 5 10 15 20 Yvette graphs is (10, 2), which other ordered pair will she graph? (2, 1) (3, 15) (15, 20) (20, 4) helpppppppppppppppp meeeeeee
Answers
Answer:
Yvette plotted (10, 2) because for 10 oranges you have 2 pineapples. Similarly, she would plot (20, 4) for the same reason.
Answer:
20,4
Step-by-step explanation:
edge
Solve for x
12:15 = x 5
36
060
Answers
Answer:
x = 12:15=×5
36
060
Step-by-step explanation:
12:15=0
x=0
Answer:
4
Step-by-step explanation:
Divide the left side by 3
12:15
12/3 : 15/3
4:5
x would be 4
what is the measure of
Answers
Answer:
the measure of this is
Step-by-step explanation:
cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese cheese
First Identify the Angle relationship, then solve for x.
Answers
Answer:
x=2
Step-by-step explanation:
46x-2=45x
+2 +2
46x=45x+2
-45x -45x
x=2
Answer:
I hope you can see the pic
Step-by-step explanation:
(46x - 2) and 45x are opposite angles. Opposite angles are equal to each other so, like terms will he collected and then x is gotten as +2.
Manuel need to say more than $75 for a class trip. he already has $24 and will save an equal amount each week for the next 6 weeks. Which any quality can be used to determine how much money Manuel should save each week?
Answers
Answer:
the answer is D!
Step-by-step explanation:
I took that quiz :)
Multiply 17/18 by the reciprocal of -289/324.
Answers
Answer:
18/17
Step-by-step explanation:
the negative reciprocal of -289/324 is 324/289. When it is multiplied by 17/18 you get 18/17 as the answer.
Answer:
[tex] - 1 \frac{1}{17}[/tex]
Step-by-step explanation:
[tex]Reciprocal \: of \: - \frac{289}{324} = - \frac{324}{289} \\ \\ \frac{17}{18} \times (- \frac{324}{289} ) \\ \\ = \frac{17}{18} \times (- \frac{18 \times 18}{17 \times 17} ) \\ \\ = - \frac{18}{17} \\ \\ = - 1 \frac{1}{17} \\ [/tex]
what is the solution to this inequality x/10+6≥8
Answers
Answer:
x ≥ 20
Step-by-step explanation:
First, we want to isolate x. We can start to do that by subtracting 6 to both sides.
x/10≥2
Now, we multiply each side by 10.
x ≥ 20
That's the answer, all values above or equal to 20 are solutions.
Answer:
The answer is x_> 20
Step-by-step explanation:
Solve for d.
4d – 4 = 5d - 8
Answers
Answer:
d = 4
Step-by-step explanation:
4d - 4 = 5d - 8
Add -5d and 4 on both sides.
4d - 5d = - 8 + 4
- 1d = - 4
Divide -1 into both sides.
d = -4/-1
d = 4
select a brand with the least expensive corn per ounce
A) ounces price
18 1.50
36 3.00
54 4.50
B) .75 for 15 oz
C) Maia buys an 11 ounce can of brand c corn for 2.20
Answers
Answer: Option B.
Step-by-step explanation:
The price per ounce can be calculated as the amount of you paid divided the number of ounces that you get.
A) we have a table:
ounces price
18 $1.5
36 $3.00
54 $4.5
We can see that here we have a linear relationship. for example, the price for 18 ounces is $1.5
Then the price per ounce is:
p = $1.5/18 = $0.083
B) here we know that 15 oz cost $0.75, the price per ounce is:
p = $0.75/15 = $0.05
C) here we have 11 ounces, and the price is $2.20
then we have:
p = $2.2/11 = $0.2
Then we can conclude that the least expensive is option B.
Answer:b
Step-by-step explanation:
did it on khan
Which symbol would make the statement TRUE?
4.589 4.958
A. <
B. >
C. =
D. none of the above
Answers
Answer:
A. <
Step-by-step explanation:
The symbol "<" means less than.
Comparing 4.589 with 4.958, 4.958 is greater than 4.589 by 0.369 (4.958 - 4.589).
So therefore, if we are to write 1 statement for both, we would say "4.589 is less than 4.958".
This can be written by using just symbols without words, thus, we have:
4.589 < 4.958.
The correct option is A. <
2 1/3 divide 1/4 answer in simplest form
Answers
Answer:
[tex]9\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]2\frac{1}{3} \div \frac{1}{4}[/tex]
[tex]\frac{7}{3} \div \frac{1}{4}[/tex]
[tex]\frac{7}{3} \times \frac{4}{1}[/tex]
[tex]\frac{7 \times 4}{3 \times 1}[/tex]
[tex]\frac{28}{3}[/tex]
[tex]9\frac{1}{3}[/tex]
[tex]9 \frac{1}{3} \\ solution \\ 2 \frac{1}{3} \div \frac{1}{4} \\ = \frac{7}{3} \times \frac{4}{1} \\ = \frac{7 \times 4}{3 \times 1} \\ = \frac{28}{3} \\ = 9 \frac{1}{3} [/tex]
Hope it helps...
Good luck on your assignment....
The temperature at 12 Noon was above zero. If it decreases at the rate of
Per hour until midnight, at what time would the temperature be below zero?
Answers
Answer:
Brianliest!
Step-by-step explanation:
It could be found if you were given the rate
since there is no rate, the question should be answered that there is not enough information
Which statements are true about the parabola represented by the equation y=−3x^2+18x+23 Select all that apply. 1. The leading coefficient is positive, so the parabola opens up. 2. The leading coefficient is negative, so the parabola opens down. 3. The parabola has a maximum. 4. The parabola has a minimum.
Answers
Answer:
2, 3
Step-by-step explanation:
2. The leading coefficient is -3. When the leading coefficient is negative, the parabola opens down.
3. When the parabola opens down, it has a maximum point, but no minimum point. (when the parabola opens up, it has a minimum, but no maximum)
I hope this helps :)
The right statements about equation y=−3x^2+18x+23 is 2) The leading coefficient is negative and 3) The parabola has a maximum.
What is a parabola?A parabola is a plane curve which is mirror-symmetrical and can be downward, upward, leftward and rightward shaped.
What are the statements?Second is true because when the coefficient is negative the parabola opens down because their values starts decreasing.
Third is true because when the parabola opens down it has a maximum point and no minimum point. On the other hand when the coefficient is positive it opens up.
Learn more about parabola at https://brainly.com/question/4148030
#SPJ2