Answers
Answer:
x = 15, 45 degree angle
Step-by-step explanation:
2x + 15 and 6x - 45 adds up to 90 degrees
(2x + 15) + (6x - 45) = 90
combine like terms:
2x + 6x = 8x
15 + (-45) = -30
8x - 30 = 90
8x - 30 + 30 = 90 + 30
8x = 120
8x / 8 = 120 / 8
x = 15
2(15) + 15
30 + 15 = 45 degree angle
6(15) - 45
90 - 45 = 45
Answer:
x = 15.
Step-by-step explanation:
The figure is a square so opposite sides are congruent and parallel.
The 2 angles marked are interior alternate angles, so they are congruent.
Therefore:
2x + 15 = 6x - 45
15 + 45 = 6x - 2x
4x = 60
x = 15.
Related Questions
if I have my mean mode median range so how can I construct a frequency table
Answers
Answer:
To find the mean, multiply the values by frequencies, add the subtotals, and divide by the total number of the frequency. Median : To find the median, calculate a running total of the frequencies, which is half the total, it contains the median that corresponds to the value.
Step-by-step explanation:
26 students are in a classroom. How many different ways can a group of 5 students be chosen?
Answers
The number of different ways by which can a group of 5 students be chosen from the 26 students is 65780.
What is combination?Combination is the way of arrangement or the collection of items in the particular order. The order of this group of items does not matter in the combination type of arrangement.
The formula of combination is,
[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
Here, n is the total number of items and r is the number of ways by which an item is chosen from the set.
26 students are in a classroom. The number of different ways can a group of 5 students be chosen are,
[tex]^26C_5=\dfrac{26!}{5!(26-5)!}\\^26C_5=\dfrac{26\times25\times24\times23\times22\times21!}{5!21!}\\^26C_5=\dfrac{26\times25\times24\times23\times22}{5\times4\times3\times2\times1}\\^26C_5=65780[/tex]
Thus, the number of different ways by which can a group of 5 students be chosen from the 26 students is 65780.
Learn more about the combination here;
https://brainly.com/question/17139330
#SPJ1
Please help. I don't know any theorems that relate to this
Answers
Answer:
125°
Step-by-step explanation:
In circle with center O.
BC is tangent at point B.Draw segment OBOB is radius[tex]\implies OB\perp AB[/tex] (Tangent theorem)[tex]\implies\red{\bold{ m\angle OBC = 90\degree}}[/tex][tex]m\angle AOB= 90\degree + 20\degree[/tex] (By exterior angle theorem)[tex]\implies m\angle AOB= 110\degree[/tex] OA = OB (radii of same circle)[tex]\implies m\angle OAB = m\angle OBA = x \: (say)[/tex] (By isosceles triangle theorem)[tex]m\angle AOB + m\angle OAB +m\angle OBA=180\degree[/tex] (By interior angle sum theorem of a triangle)[tex]\implies 110\degree+ x +x=180\degree[/tex][tex]\implies 2x =180\degree-110\degree[/tex][tex]\implies 2x =70\degree[/tex][tex]\implies x =35\degree[/tex][tex]\implies \purple{\bold{m\angle OBA =35\degree}}[/tex][tex]m\angle CBA=\red{\bold{m\angle OBC}} +\purple{\bold{m\angle OBA }}[/tex][tex]m\angle CBA=90\degree + 35\degree[/tex][tex]\huge{\orange{m\angle CBA=125\degree}}[/tex]find the domain and range pls!
Answers
And range should be, (-♾️, 2)
If you ment something other then this please message me so I can help!
PLEASE ASAP we need to turn in in 20 mins
Answers
Answer:
14 units^2
Step-by-step explanation:
Hey there!
In order to find the area of this triangle, we need to find the base and height of the triangle
the base of the triangle is 7 units long and the height of the triangle is 4 units high
Formula for area of triangle: Base x Height x 1/2
7 x 4 x 1/2 --> 28 x 1/2 --> 14
So, the area of this triangle is 14
Now the question is asking to find the area by forming a parallelogram
All you have to do for this is duplicate that same triangle, and mirror it upside down
Then all you would have to do is find the Base and the Height and multiply them together
How many square inches of fabric does Kendall need for a triangle flag with a base of 20 inches a height of 40 inches
Answers
Answer: [tex]400^{2}[/tex]
Step-by-step explanation:
First, write the formula:
A = (b × h) / 2
Next, multiply the base and the height of the triangle.
20 x 40 = 800
Finally, divide 800 by 2.
800/2=400
Therefore, the answer is [tex]400^{2}[/tex].
I need the formula for this graph
Answers
Answer:
y=[tex]\frac{1}{3}[/tex]x+[tex]\frac{1}{3}[/tex] /
Step-by-step explanation:
Ravi buys lunch at a restaurant.
An 8% sales tax is added, and he tips the waiter 20% of the cost of the food.
Ravi pays a total of $17.92 for his lunch, including tax and tip.
What is the price of Ravi's lunch, before tax and tip?
Answers
The price of Ravi's lunch, before tax and tip was added to the total cost of the meal is $13.19.
What is the price of the lunch?Both the tax and the tip paid would increase the cost of the meal. Thus, their dollar value has to be subtracted from the total amount he pays.
Value of the lunch after the tip has been removed = (1 - 0.2) x 17.92 = $14.34
Value of the lunch after the tax has been removed = (1 - 0.08) x $14.34 = $13.19
To learn more about taxes, please check: https://brainly.com/question/25311567
#SPJ1
Colleen has put $26,000 into a retirement fund. the fund has an estimated annual return of 10%. if colleen doesn't add any more money, how much can she expect to have in the fund in 7 years?
if necessary, round your answer to the nearest cent
the answer is : 50,666.64
Answers
Using an exponential function, it is found that she can be expected to have $50,666.64 in the fund in 7 years.
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem, we have that the initial amount and the growth rate are given, respectively, by:
A(0) = 26000.r = 0.1.Hence the amount after t years is given by:
[tex]A(t) = 26000(1.1)^t[/tex]
Then, after 7 years, the amount is:
[tex]A(7) = 26000(1.1)^7 = 50,666.64[/tex]
More can be learned about exponential functions at https://brainly.com/question/25537936
#SPJ1
QR is the radius of R and PQ is the tangent to R. Find the value of x.
Answers
Answer:
x = 39
Step-by-step explanation:
We know that PRQ is a right triangle, so we use the pythagorean theorem to solve the problem. The theorem states that a^2 + b^2 = c^2. Let's assume that the length of RP is c, the length of PQ is a and x is b. We plug the lengths into the equation and solve it:
80^2 + x^2 = 89^2
6400 +x^2 = 7921
x^2 = 1521
x = [tex]\sqrt{1521}[/tex]
x = 39
Miss Violet is buying granola bars for her students. She already has 16 granola bars in her desk and needs a total of 100 bars. They are sold in packs of 12. Write an equation to show how many more boxes of granola bars she needs.
16 – 12x = 100
16 – 12x = 100
16x + 12 = 100
16x + 12 = 100
16 + 12x = 100
16 + 12x = 100
12x – 16 = 100
12x – 16 = 100
Answers
Answer:
100 - 16 = 84, and 84 divided by 12 is 7. She needs to buy 7 more boxes of granola bars for her students.
Step-by-step explanation:
Answer:
She need 7
Step-by-step explanation:
12x7=84
Then add 16 to 84 to get 100
60. If a publisher charges $15 for the first copy of a book
that is ordered and $12 for each additional copy, which
of the following expressions represents the cost of
y books?
F. 12y + 3
G. 12y + 15
H. 15y - 3
J. 15y + 3
K. 15y + 12
Answers
Find the SURFACE AREA of the
cylinder below.
10 yd radius and 15 yd height. (ROUND TO NEAREST TENTH)
Answers
Answer:
1571
Step-by-step explanation:
its 1570.8 but you have to round
Help with this please
Answers
Answer: 4 centimeters is the mode
Step-by-step explanation: Mode is the number that comes out the most, and 4 comes out 6 times, which is the most.
GUYS PLS HELP ILL GIVE BRAINLEST IF YOUR RIGHT
A tissue box is shaped like a right rectangular prism: it has a base area of 16 square inches and a height of 5 wholes and 1/3 inches: What is the volume of the tissue box .
21 1/3 in
26 2/3 in
42 2/3 in
85 1/3 in
Answers
Answer:
85 1/3
Step-by-step explanation:
All I did is multiply and got that.
I'm going to submit my finals, so hopefully it's not wrong. I don't think it's wrong though.
If 50x=500 then….
What would the answer be ?
Answers
[tex]\large\textit{Answer :}[/tex]
x = 10
[tex]\large\textit{Calculations :}[/tex]
The way to solve this one - step equation is to divide by 50 on both sides to get x by itself :
50x=500
x = 10
[tex]\tiny\textsc{HOPE HELPFUL ~}[/tex]
Find the equation of the line that goes through the points (0, 4) and (10, 2).
y = -1/5 x + 4
y = 1/5 x - 4
y = -1/5 x + 2
y = -5x + 4
Answers
Y=-1/5x+4
Y-intercept is (0,4)
Can someone please help me with this question
Answers
Answer:
B)
Step-by-step explanation:
The way I think of it, a fair election comes from all qualifiable candidates, in this case, only 50 girls were allowed to vote, giving the impression that boys aren't qualified, thus not even being able to vote for a candidate. In conclusion, I think that it's option B).
PLEASE HELP ME!!!!!!!!!
Answers
Answer:
[tex]\{-2,2\}[/tex]
Step-by-step explanation:
[tex]~~~~~~2|p| = 4\\\\\implies |p| = \dfrac 42\\\\\implies |p| = 2\\\\\implies p =\pm2[/tex]
I NEED HELP! ASAP, THIS IS SO HARD AND MY BRAIN HURTS, IF U HELP ME WITH OTHER QUESTIONS LIKE THIS ILL GIVE U 50+ POINTS
Answers
15/3*8
5*8
40!!
Select all of the combinations of side lengths below that cannot be used to draw a triangle.
Answers
Answer:
A , C and D cannot be used to drwa a traingle
Step-by-step explanation:
50 points if u answer this easy problem.
Answers
Answer:
Slope=2
Step-by-step explanation:
Slope=rise/run
We can start at 2, 3 (you can start anywhere on the line)
Then go to 3, 5 (you can end anywhere on the line)
Rise=2
Run=1
2/1=2
Slope is 2. The uses up there were examples. It doesn't have to be the exact points.
Slope
m=y1-y1/x2-x1m=1+1/1-0m=2/1m=2A pattern follows the rule "Start at 3 and add 10."
Which statement is true about the pattern?
A: Each term is 13 more than the previous term because the tens digit goes up by 1 and the one's digit goes up by 3.
B: Each term is 10 times the previous term because the tens digit goes up by 1 and the ones digit stays the same.
C: For each term, the ones digit stays the same and the tens digit goes up by 1 because 10 has one ten and no ones.
D: For each term, the ones digit goes up by 3 and the tens digit goes up by 1 because you start at 3 and go up by 10 each time.
Answers
B: Each term is 10 times the previous term because the tens digit goes up by 1 and the ones digit stays the same.
Juan rolls a 6-sided number cube 4 times. each time, the result is 2. which best describes the events? dependent: each outcome was the same. simple: one single number cube was rolled. independent: each outcome is unaffected by previous outcomes. simple: one single number cube was rolled. dependent. each outcome was the same. compound: multiple events occurred. independent: each outcome was unaffected by previous outcomes. compound: multiple events occurred.
Answers
Answer: 1/6
because there are 6 side to a cube and you can only have a outcome of 1 so therefore, the answer is 1/6
Answer:
D
Step-by-step explanation:
Which solution to the equation startfraction 3 over a 2 endfraction startfraction 2 over a endfraction = startfraction 4 a minus 4 over a squared minus 4 endfraction is extraneous?
Answers
The solution of the rational equation [tex]\frac{3}{a + 2} * \frac{2}{a} = \frac{4 a - 4 }{a^2 - 4}[/tex] is a = 3
How to determine the solution?The equation is given as:
[tex]\frac{3}{a + 2} * \frac{2}{a} = \frac{4 a - 4 }{a^2 - 4}[/tex]
Express a^2 - 4 as a difference of two squares
[tex]\frac{3}{a + 2} * \frac{2}{a} = \frac{4 a - 4 }{(a + 2)(a - 2)}[/tex]
Cancel out the common terms
[tex]\frac{3}{} * \frac{2}{a} = \frac{4 a - 4 }{a - 2}[/tex]
Factor out 2 from 4a - 4
[tex]\frac{3}{} * \frac{2}{a} = \frac{2(a - 2) }{a - 2}[/tex]
Evaluate the quotient
[tex]\frac{3}{} * \frac{2}{a} = 2[/tex]
Divide both sides by 2
[tex]\frac{3}{1} * \frac{1}{a} = 1[/tex]
Cross multiply
a = 3
Hence, the solution of the equation [tex]\frac{3}{a + 2} * \frac{2}{a} = \frac{4 a - 4 }{a^2 - 4}[/tex] is 3
Read more about equation solutions at:
https://brainly.in/question/15567010
#SPJ4
Answer:
the answer for Which solution to the equation StartFraction 3 Over a + 2 EndFraction + StartFraction 2 Over a EndFraction = StartFraction 4 a minus 4 Over a squared minus 4 EndFraction is EXTRANEOUS? is a: a=-2
Step-by-step explanation:
In an orchard, there are 16 apple trees, 22 orange trees, and a cherry tree. What is the ratio of apple trees to orange trees? OA. 1:22 OB 22:16 OC. 16:22 OD. 38:22
Answers
Answer:
Answer:
C. 16 : 22
Step-by-step explanation:
Given:
Apple trees = 16
Orange trees = 22
Cherry trees = 1
Ratio of apples trees to orange trees:
⇒ apple : orange
⇒ 16 : 22
Help is much appreciated :)
Answers
Answer:
Your answer is A
y≤ 1/2x + 3
y≥ 1/2x - 4
Step-by-step explanation:
6.14 Checkpoint: Systems of Linear Inequalities
I took the test
Answer:
Which systems of inequalities does the graph show?
A
O y ≤ 1/2x + 3
y ≥ 1/2x - 4
Step-by-step explanation:
You're welcome.
8. The model of a building is 32 inches tall. The actual building is 240 feet tall. What scale is being used?
Answers
Answer:
7.5 feet for 1 in.
Step-by-step explanation:
32:240/2
16:120/2
8:60/2
4:30/2
2:15/2
1:7.5
30 Points: How does it relate to one of these?
Triangle Proportionality Theorem
The Converse of the Triangle Proportionality Theorem
Pythagorean Theorem, using Similar Triangles
The Converse of the Pythagorean Theorem
Answers
Answer: the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.
Step-by-step explanation:
Answer:
this is how the Pythagorean theorem works a^2 + b^2 = c^2 I hope this helps have a great day bye!!! :D
Step-by-step explanation:
What does it mean for data to have variability as it refers to statistical questions? Give an example
Answers
Answer:
The term, "variability" describes how far apart data points lie from each other, and from the center of a distribution.
Along with measures of central tendency, measures of variability give you descriptive statistics that summarize your data.
Variability is also referred to as spread, scatter or dispersion.
Example:
The heights of students at Brainly varied from 4 feet and 6 inches tall to 6 feet and 3 inches tall. It varies 1 foot and 9 inches.
