Answer:
Well we can make an equation
so supplementary angles are 2 or more angles that add up to 180
In this case it’s only two.
We can make the first angle “x”
Whilst the second angle “y”
The measure of the first angle is 40 more then half the second angle so
X is the first angle
we know that x is (y/2)+40
So we can subsitute that in and then we can add y which is the second angle
(y/2) + 40 + y = 180
Now solve
I multiplied everything by 2 to get rid of fractions
y+80+2y= 360
And then combine like terms
3y + 80 = 360
Now isolate 3y
3y= 280
now isolate y to solve
y= 90 1/3
And then we subsitue
((90 1/3 ) / 2 ) + 40= 85 1/6
So you have this
first angle : 85 1/6
Second angle; 90 1/3
Answer:
[tex]86\frac{2}{3}[/tex] and [tex]93\frac{1}{3}[/tex]
Step-by-step explanation:
Two angles that are supplementary mean that they both add up to 180°.
If one angle is 40 more than half the second angle then,
a = [tex]\frac{b}{2}[/tex] + 40
Both angles together would be:
180 = [tex]\frac{b}{2} + 40 + b[/tex]
Step 1 - Subtract 40 from both sides of the equation:
[tex]180 - 40 = \frac{b}{2} + 40 + b - 40\\140 = \frac{b}{2} + b[/tex]
Step 2 - Multiply both sides by 2:
[tex]140 \times2 = 2(\frac{b}{2}) + 2(b)\\280 = b + 2b\\280 = 3b[/tex]
Step 3 - Divide both sides by 3:
[tex]\frac{3b}{3} = \frac{280}{3}[/tex]
[tex]b = 93 \frac{1}{3}[/tex]
Step 4 - Plug this into the original equation to calculate the angle:
[tex]\frac{b}{2} + 40\\[/tex]
[tex]\frac{93\frac{1}{3} }{2} + 40\\46\frac{2}{3} + 40 = 86\frac{2}{3}[/tex]
Therefore the two angles are:
[tex]86\frac{2}{3}[/tex] and [tex]93\frac{1}{3}[/tex]
Hope this helps!
AY (-3, 1) #3211 # -2 2 x -2 (2, -2) The slope is negative Find the slope m =
9514 1404 393
Answer:
-3/5
Step-by-step explanation:
The slope can be found using the formula ...
m = (y2 -y1)/(x2 -x1)
Using the values from the marked points, we have ...
m = (-2 -1)/(2 -(-3)) = -3/5 . . . . it is negative
Find 40% of 60 please help i am really struggling!!!
Answer:
24 is the answer
Step-by-step explanation:
The first thing you would do is to convert from percent to decimal, divide the percent without the percent symbol by 100.Thus, 40%=40100=0.4. 40% 60 is just 0.4⋅60=2440% of 60
40/100x60
=0.4x60
=24
If three points are collinear, then they are coplanar. True or False
Explain Please
Answer:
False
Step-by-step explanation:
False, through any three points not on the same line, there is exactly one plane, but three points on the same line could be in separate planes.
Hope this helps :)
Tom plans to build up his RRIF (Registered Retirement Income Fund) by making regular deposits into his RRSP
(Registered Retirement Savings Plan) now. When he retires 22 years from now, Tom would like to receive
$2,000 at the end of every six months for seventeen years. Assume the interest rate for both the RRSP and
RRIF will be 5.05% compounded semi-annually.
1) How much would Tom have to have in the RRIF at the beginning of his retirement to receive these payments
of $2,000 each at the end of every six months?
$
2) What payment will Tom have to regularly make now at the end of every six months into his RRSP so that
there is enough money in the RRIF at the start of his retirement?
A student answered 38 problems on a test correctly and received a grade 95%. How many problems were on the test, if all the problems were worth the same number of points? (Round to the nearest whole number)
Answer:
36 questions
Step-by-step explanation:
the question can be rewritten to be:
what number out of 38 is equal to 95 percent
now you can use this ratio:
is/of = percent/100
x/38 = 95/100
cross-multiply to get:
100x = 38(95)
100x = 3610
x = 36.1
Original domain and range:
D: [-1,1] R: [0,1]
What is the domain and range of
y= f(x+2)+1
Step-by-step explanation:
if I understand correctly, then f(x) has the domain of [-1, 1] and the range of [0, 1].
the domain of a function is the interval or set of the valid values of x. and the range is the interval or set of the valid values of y.
the new function we could call g(x) is
y = f(x+2) + 1
so, remember, f(x) is only defined for x values of of [-1, 1].
the argument of f(x) must never be outside that interval, or it is undefined.
the new function now uses f(x) in the form of f(x+2). that means, if we use the same x values as for the original f(x) we would land mostly in undefined areas (only x=-1 would work), because we would use f(x) with argument values from 1 to 3.
how can we regulate this back to the valid interval of -1 to 1 ?
by saying that the domain of g(x) is actually 2 less than the domain of f(x) : [-3, -1]
the "+ 1" at the end changes the range. g(x) has then a range interval that is greater by 1 than the range interval of basic f(x).
so, it is [1, 2]
find the quotient of [tex]\frac{(x^{3} - 2x^{2} + 6x + 3)}{ (x - 3)}[/tex] using long division
How do you Round 245.456 to the nearest hundredth ?
Answer:
245.46
Step-by-step explanation:
the hundredth point is represented by the "5" after the decimal, it goes like this
hundred, ten, one . tenth, hundredth, thousandth
2 4 5 . 4 5 6
so when you find the point you need to round to, if the number after it, is greater than five, the "hundredth" place goes up one
I hope this makes sense
HELP. the staircase at the lighthouse tower has between 80 and 90 steps. if matt goes 2 steps at a time then 1 step is left at the end. If he goes 3 steps at a time then 2 steps are left. If he goes 4 steps at a time then 3 steps are left. How many steps are in the staircase?
Answer:
90
Step-by-step explanation:
start from the beginning, then if you go 2 steps at a time, then you have 1 step left over at the end, let's assume the length of the stair case is x, so then we will be going up 2/3x steps, and have 1/3 x steps left.
2/3 x = somewhere between 80 and 90, so that means it must be divisible by 3, so 81,84,87,90
3/5 x ==> only 90
Which values from the given replacement set make up the solution set of the inequality?
5n>24 ; {2, 3, 4, 5, 6}
{5, 6}
{4, 5, 6}
{2, 3}
{3, 4}
Step-by-step explanation:
numbers 5 and 6 since 5 times 5 is 25 and 5 times 6 is 30, therefore both are larger than 24
Suppose that the hemoglobin levels among healthy females are normally distributed with a mean of 14 gdL. Research shows that exactly 95% of healthy females have a hemoglobin level below 15.9 gdL. What is the standard deviation of the distribution of hemoglobin levels in healthy females
Answer:
The variation in haemoglobin values in healthy human beings is relatively large; in women aged 18–49 years the mean haemoglobin concentration is 140 g/l while the value 2 standard deviations (SD) below the mean is 120 g/l, a difference of about 14%.
Geometry
2
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
C
B
D
5
6
2
Polygon ABCD, shown in the figure, is dilated by a scale factor of 8 with the origin as the center of dilation, resulting in the image A'BCD.
The slope of CD's
Answer:
the slope is 13
Step-by-step explanation:
Rewrite using a single positive exponent: 4^9/4^2
9514 1404 393
Answer:
4^7
Step-by-step explanation:
You know that an exponent signifies repeated multiplication. The value of the exponent is the number of times the base appears as a factor.
You also know that identical factors in the numerator and denominator of a fraction cancel.
The given fraction has 9 factors of 4 in the numerator, and 2 factors of 4 in the denominator. The two in the denominator cancel an equal number in the numerator, leaving a value that has 7 factors of 4:
[tex]\dfrac{4^9}{4^2}=4^{9-2}=\boxed{4^7}[/tex]
hello! someone please answer this. this is due tomorrow, Monday and I don't get any of it. ty!
How many solutions are there to the equation below?
4(x - 5) = 3x + 7
A. No solution
B. Infinitely many solutions
C. One solution
Answer:
C. one solution
Step-by-step explanation:
4(x - 5) = 3x + 7
4x - 20 = 3x + 7
x = 27
Answer all for brainliest asap pls
Answer:
See below:
Step-by-step explanation:
For the first one, we know <ABC is 90 degrees due to it being a rectangle.
Since we know that, the angles in that triangle are 41 degrees 90 degrees and y degrees (y is <AEB) in this case.
We know that the sum of angles in a triangle are 180 degrees therefore:
If we solve that, we get that y is 49 degrees.
Now to get x, we know its a supplementary angle, therefore 61 degrees + 49 degrees + x = 180 degrees.
We now know that x is 70 degrees
For the second one, since its an equilateral triangle, we know that all angles inside of it are 60 degrees.
What we can do is first find what <XZW is by subtracting 60 from 180 due to the supplementary angles theorum.
Therefore <XZW is 120 degrees.
Now, all angles inside a triangle are always 180 degrees so therefore:
[tex]x=180-(120+32)\\x=28[/tex]
For the final one, we know that <QRP is equal to 64 degrees due to the bottom two triangles of an isoceles triangle being equal.
On that, we get 23 degrees for the last one due to supplementary angles + 180 deg in triangle.
If the quotient of 5/8 and 1/4 is subtracted from the product of 1 1/2 and 3 1/5, what is the difference?
Answer:
.,l;'fnfcy
Step-by-step explanation:
gvnjd,g,ufk,lnm;lh;;rkiyltoltlt8tioll
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3.16 Unit Test: Slope - Part 1
This graph shows the costs of purchasing two types of flowers.
Which statement is true?
Flower A
O Flower A is less expensive than Flower B.
Flower B is less expensive than Flower A.
Flower B
Cost (S)
Flower A and Flower B cost about the same,
Stems
1
Answer:
letter A
your welcome my job is to help you
Answer:
Flower B is less expensive than Flower A.
Step-by-step explanation:
Well...I tried the other answer the first person had said but i got it wrong. I checked what the answers were and it showed as "Flower B is less expensive than Flower A." as the correct answer.
solve pls brainliest
Answer:
Well mixed number is something with a whole.
Remeber a decimal goes by the place value of tenths right away.
Now if you follow along 1.43 is basically saying 1 and 43 hundreths
Becuase normal place value go
tenths
Hundreths
thousandths
ten thousandths
hundred thousandths
millionth
etc.
and that Saying 1 43/100
So your mixed number is 1 43/100
Your improper would jsut be
Multiplying the denominator with the whole number
Then add that product to the numerator, keep the denominator the same
so 143/100
3 days is what percent of 1 week?
Example #1: The ratio of the length to width in a rectangle is 2:7. If the length of the rectangle is 11cm,
what is the width of the rectangle?
Answer:
37.5cm sifjueikksksoowi
Answer:
38.5 = width
Step-by-step explanation:
if f(x)=x^2 and g(x)=x-1 then f(g(x))=?
Answer in the picture.
Eliminating the Drafty product line would eliminate $18,000 of direct fixed costs. The $50,000 of common fixed costs would be redistributed to Blowing Sand’s remaining product lines.
Will Blowing Sand’s net operating income increase or decrease if the Drafty model is eliminated? By how much?
Answer:
would be a 18,000 and ya it's ok to
Solve the inequality and graph the solution on the line provided.
−18+8x ≥ -50
Answer:
The graph i cant explain but go on mw and look up -18+8x -50 n tap the arrow and then push graph
Step-by-step explanation:
Inequality Form:
x≥−4
What is 8/9 + 1/6 as a fraction
Answer:
[tex]\frac{19}{18}[/tex] or [tex]1 \frac{1}{18}[/tex]
Step-by-step explanation:
First, both fractions need to have a common denominator.
The LCM of 9 and 6 is 18.
[tex]\frac{16}{18} +\frac{3}{18}[/tex]
Add the numerators.
You get: [tex]\frac{19}{18}[/tex]
The mixed number form is [tex]1 \frac{1}{18}[/tex]
The expression [tex]\frac{8}{9} +\frac{1}{6},[/tex] expressed as a fraction, is [tex]\frac{19}{18}.[/tex]
In order to add fractions, it is essential to determine a common denominator.
The common denominator is [tex]9 \times 6 = 54.[/tex]
Now, let's convert the fractions to have the common denominator:
When we multiply the fraction 8/9 with 6 in numerator and denominator we get 48/54.
[tex]\frac{8}{9}= \frac{8}{9} \times \frac {6}{6}[/tex]
[tex]= \frac{48}{54}[/tex]
Now multiply the fraction 1/6 with 9 in numerator and denominator to make 54 in denominator:
[tex]\frac{1}{6}= \frac{1}{6} \times \frac {9}{9}[/tex]
[tex]= \frac{9}{54}[/tex]
Now, we can add the fractions:
[tex]\frac{48}{54} + \frac{9}{54} = \frac{(48 + 9)}{54}[/tex]
[tex]=\frac{57}{54}[/tex]
Despite this, we have the option to simplify the fraction by dividing both the numerator and the denominator with their greatest common divisor, which is 3.
[tex]\frac{57}{54} = \frac{19}{18}[/tex]
Therefore, [tex]\frac{8}{9} +\frac{1}{6},[/tex] expressed as a fraction, is [tex]\frac{19}{18}.[/tex]
To learn more on Fractions click:
https://brainly.com/question/10354322
#SPJ4
Find the measure of the exterior angle.
(5x+2)
6x
90
y = 138
Step-by-step explanation:
6x + 5x +2 = 90°
11x = 90 - 2
11x = 88
x = 8
5x + 2 + y = 180
5(8) + 2 + y = 180
40 + 2 + y =180
42 + y = 180
180 - 42 = y
y = 138
please help me!!! I'll give you 40 points.
construct the bisector of the following figures
Answer:
divide the given line into halves
Maria is recording the percentages she earned on each quiz in her math class. Here are her results for the last 7 quizzes.
59, 61, 83, 67, 81, 80, 81
Find the range of the data set.
An experiment consists of dealing 7 cards from a standard 52-card deck. What is the probability of being dealt exactly 4 face cards?
Answer:
The probability that the first card is a heart is 13/52
For the second card it is 12/51 (There are only 51 cards and only 12 of them are in the heart suit.)
For the third card it is 11/50
4th card 10/49
5th card 9/48
6th card 8/47
7th card 7/46
The total probability of all of these events occurring is the product of each individual probability.
So, the answer is (13 * 12 * 11 * 10 * 9 * 8 * 7) / (52 * 51 * 50 * 49 * 48 * 47 * 46)
which equals exactly 33 / 2,572,780 or roughly 1 chance in about 77,963
Step-by-step explanation:
Sean has a box of pens. The box contains 6 blue pens, 8 black pens and 3 red pens. Some more blue pens are added to the box. The probability of selecting a blue pen is now ½. How many blue pens were added to the box?
Answer:
5
Step-by-step explanation:
Well, since the probability of blue pens is 1/2 you'll have to add the number of pens that is not blue. So that'll be 8+3 which equals 11. We currently have 6 blue pens and we need to add up the pens which will get 11. 11-6 equals 5, and that is the number of pens you will have to add.
Also, I'm not an expert at this so please check the work before you answer !
