Step-by-step explanation:
m∠RSU + m∠UST = 90° (as complementary angles)
(7x + 3)° + (11x − 21)° =90°
18x -18° = 90°
18x = 108°
x = 6
so, m∠RSU = (7x + 3)° = 7(6)+3 = 45°
and m∠UST = (11x − 21)° = 11(6) -21 = 45°
The required measures of the angles ∠RSU and ∠UST are 31° and 23° respectively.
What is the angle?The angle can be defined as the one line inclined over another line. Also the angles are measured in radian or degrees.
The sum of the complementary angles is 90.
So,
∠RSU + ∠UST = 90
7x +3 + 11x - 21 = 90
18x - 18 = 90
18 (x - 1) = 90
x - 1 = 90 / 18
x - 1 = 5
x = 4
Required measures of the angles,|
1) m∠RSU = (7x + 3)°
m∠RSU = (7 * 4+ 3)°|
m∠RSU = 31°
2) m∠UST = (11x − 21)°.
m∠UST = (11 * 4 − 21)°
m∠UST = (44 − 21)°
m∠UST = 23°
Thus, the required measures of the angles ∠RSU and ∠UST are 31° and 23° respectively.
Learn more about Angles here:
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Jasper Hall sells farm chemicals. He is paid a commission of 99% of his first $6,000 in sales during the month and 14% on all sales over $6,000. What is his commission in a month in which he has sales worth $16,120?
Amount of total commission is $1,956.8 (Approx.)
Given:
Percent of commission upto $6,000 sale = 9% (Misprint)
Percent of commission over $6,000 sale = 14%
Amount of total sales = $16,120
Find:
Amount of total commission
Computation:
Amount of commission upto $6,000 sale = 6000 × 9%
Amount of commission upto $6,000 sale = $540
Amount remain = 16120 - 6000
Amount of commission upto $6,000 sale = $10,120
Amount of commission over $6,000 sale = 10,1200 × 14%
Amount of commission over $6,000 sale = $1,416.8
Amount of total commission = Amount of commission upto $6,000 sale + Amount of commission over $6,000 sale
Amount of total commission = 540 + 1,416.8
Amount of total commission = 1956.8
Amount of total commission = $1,956.8 (Approx.)
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Help me pls ?? 1. Suppose there is a raffle with numbered tickets 1 - 150. One ticket is randomly
drawn from a hat. Find the following probabilities:
A. Drawing an even number
B. Drawing a number greater than 100
C. Drawing an even prime number
D. Drawing a negative number
which is the simplified form of the expression
please help!!
Answer:
A
Step-by-step explanation:
p^-8q^-20 * p^8q^-10
=q^-30
=1/q^30
Hakim and Aziz had some savings in the ratio 3 : 5. Hakim saved another $82 and Aziz spent $110. Both have the same amount of money now. How much do each of them have now?
===========================================================
Explanation:
Hakim and Aziz have savings in the ratio 3:5. This means that Hakim has 3x dollars while Aziz has 5x dollars. The x is some positive real number.
We're then told that Hakim saved another $82, which means it goes from 3x to 3x+82
At the same time, Aziz spent $110 which means the 5x decreases to 5x-110
At this point, the two people have the same amount of money. Set the expressions we found equal to one another and solve for x.
3x+82 = 5x-110
3x-5x = -110-82
-2x = -192
x = -192/(-2)
x = 96
Then use this x value to compute each expression like so
3x+82 = 3*96+82 = 3705x-110 = 5*96-110 = 370Both have $370 after Hakim saved that additional $82 and after Aziz spent that $110.
------------------
Extra info:
If we rewind things a bit, Hakim would have 3*x = 3*96 = 288 dollars while Aziz would have 5x = 5*96 = 480 dollars. This is before any additional saving or spending.
Then note how the ratio 288:480 fully reduces to 3:5 after dividing both parts by the GCF 96.
The perimeter of a triangle is 16 squar root 7 feet if two of the sides measure 343 square root feet amd 175 square root fins the length of the third side as a redo all in simplest form
Answer:19
Step-by-step explanation:
because if it added it becomes that
write the equation of a line in slope intercept form y=mx+b m=6, (0,5)
Answer:
m is the slope so plug in y=6x+b
and b is the y intercept so the equation is y=6x+5
Step-by-step explanation:
If 3 people stay in a hotel for today and by gh600.00 .what is the cost of 5 people staying for 8 days.
so it'd be 600 / 3 which gives you 200.00 that's what each person paid a day given that there's 5 five times 200 is one day 1000.00x 8 = ($8000.00) for 5 people for 8 days
The figure below shows a rope that circles the Earth. The radius of the Earth is 6371 kilometers. Assuming the rope makes a perfect circle, what is the length of this rope? Give your answer in terms of pi. kilometers
Answer:
12742π kilometers
Step-by-step explanation:
Circumference = 2πr
Circumference = 2(r)π
r = 6371
Circumference = 12742π
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
12742
Step-by-step explanation: Khan Academy
Solve the equation. Check your answer.
b - 1+ 8 = 37
b=?
Answer:
b = 30
Step-by-step explanation:
b - 1 + 8 = 37 (Given)
b + 7 = 37 (Simplify)
b + 7 - 7 = 37 - 7 (Subtract 7 on both sides)
b = 30 (Simplify)
any one solve these questions will mark brainliest the last three fast plz
(iii)
35+ x + 60 = 180
95 + x = 180
x = 180 – 95
x = 85
So; X = 85° ; < PON(iV)
x + 47 + 75 = 180
x + 122 = 180
x = 180 – 120
x = 58
So; x = 58° ; < COB(Vi)105 ° = 3 x° –> Opposite angles ,
x = 105 / 3
x = 35
3x = 3(35) = 105°
So; x = 35°Only the figure (V) I didn't know I'm sorry:(
I hope I helped you^_^
Help me please thank you
Answer:
19, 25, 32
Step-by-step explanation:
Find the difference within each number:
5 -> 7: + 2
7 -> 10: + 3
10 -> 14: + 4
With each difference, + 1 is added so we can infer the next difference will be + 5.
14 + 5 = 19
Next is + 6.
19 + 6 = 25
Now + 7.
25 + 7 = 32
At a bake sale there were 52 items sold total. If 24 of the items sold were cookies and the rest were brownies what is the ratio of brownies sold to cookies sold?
8.
The
square of a number is always greater than the number.
Answer:
The above given statement is true
(f×g) (x)
(4x+8)×(2x-12)
Answer:
[tex] = (4x + 8)(2x - 12) \\ = ( {8x}^{2} - 48x + 16x - 96) \\ = (8 {x}^{2} - 32x - 96) \\ = 8( {x}^{2} - 4x + 12)[/tex]
Answer:
\begin{gathered} = (4x + 8)(2x - 12) \\ = ( {8x}^{2} - 48x + 16x - 96) \\ = (8 {x}^{2} - 32x - 96) \\ = 8( {x}^{2} - 4x + 12)\end{gathered}
=(4x+8)(2x−12)
=(8x
2
−48x+16x−96)
=(8x
2
−32x−96)
=8(x
2
−4x+12)
Answer fast.
Which statement is not true?
A. All whole numbers and integers are
rational numbers.
B. All rational numbers can be written as a
fraction.
C. A whole number cannot be written as a
fraction.
D. All integers are whole numbers but not
all whole numbers are integers.
Answer:
C
Step-by-step explanation:
all whole numbers can be written as fractions that is over 1
A rectangle has a width of 3 units. The rectangle's length is 5 times its width.
What is the area of the rectangle?
Answer:
Answer= 45 units
Step-by-step explanation:
lengths = 3 units
width = 3x5= 15 units
area= length times width= 3x15= 45 units!
Hope this helps :)
What is the equation of the line that passes through the point (4, -7) and has a
slope of – } ?
Answer:
Submit Answer
PLS HELP ASAP
Answer:
I think that some information is missing? what is the slope?
If you are trying to say that there is NO SLOPE then the
answer is " x = 4 "
Step-by-step explanation:
7.
The table shows the estimated number of deer living in a forest over a five-year period. Are the data best represented by a linear, exponential, or quadratic model? Write an equation to model the data.
Year
Estimated Population
0 91
1 70
2 54
3 42
4 32
A. quadratic; 0.77x2 + 91
B. exponential; y= 91 * 0.77x
C. linear; y= 0.77x + 91
D. quadratic; y= 91x2 + 0.77
Answer:
All I can say is that it isn't linear, as the number would then be the same every year
Answer:
B. exponential; y= 91 * 0.77x
Step-by-step explanation:
The Answer is A.
y=91*0.77^x
I just substituted the x on all of them and only one got the corrct y which is A.
A mobile device that normally sells for $99.90 is
marked down 10%. What's the discount price?
$99.00
$89.99
$89.91
$89.90
Answer:
89.90 is the answerrrrrrrrrrr
Answer:
89.91
Step-by-step explanation:
You can do this with a calculator 99.90-10%
What is the length of BC?
Select the best answer from the choices provided.
A.4
B.4v2
C.8v2
D.16
In the expression "4f + s", the letter "s" is: *
Answer:
Step-by-step explanation:
A variable
What is the quotient of 4.653 x 107 and 7.05 x 103 expressed in scientific
notation?
Find f (2b^2) for (x)=x^2-4x
Answer choice is
A. 4b^4 -8b^2
B. 2b^4-8b^2
C. -4b^2
D. 4b^2 - 8b^8
Answer:
A
Step-by-step explanation:
We are given the function:
[tex]f(x) = x^2 - 4x[/tex]
And we want to find:
[tex]\displaystyle f(2b^2)[/tex]
Substitute:
[tex]\displaystyle f(2b^2) =(2b^2)^2 -4(2b^2)[/tex]
And evaluate:
[tex]\displaystyle \begin{aligned} f(2b^2) &=(2b^2)^2 -4(2b^2) \\ &=(4b^4) +(-8b^2) \\ &= 4b^4 - 8b^2 \end{aligned}[/tex]
In conclusion, our answer is A.
Is 0.62473 a member of the set? For each set of real numbers, select yes or no
?
Step-by-step explanation:
can't see the opinions
rachel states that -5.5 is an integer because it is negative. is she correct? why or why not?
Answer:
no
Step-by-step explanation:
-5.5=-55/10=-11/2
-11/2 is not an integer because it is not a whole number. even if it is negative, as long as it is in fraction form it is not an integer. therefore rachel is not correct
Which equation represents a line which is perpendicular to the line y =
= -x - 72
6x - 5y = 30
Oby - 52 = 18
Submit Answer
O 6x + 5y = 20
O 5x + 6y = 42
PLS HELP ASAP
Answer:
[tex]5x + 6y = 42[/tex]
Step-by-step explanation:
Hope it is helpful....
sarah solved an equation correctly, and she got 2=2. in a complete sentence, explain what this result means.
Answer:
see explanation
Step-by-step explanation:
Solving an equation and obtaining the final line as
2 = 2 ( that is both sides equal )
Indicates that the equation has an infinite number of solutions
Find three consecutive even integers such that five times the second is six more than twice the sum
of the first and third integers
Answer:
The first number = 4The second number = 6The third number = 8Step-by-step explanation:
Let all unknown numbers be represented by the variable x.So;x = first number
x + 2 = second number
x + 4 = third number
placing in a form as demanded by the question.5(x + 2) = 6 + 2x + 2 ( x + 4)
5x + 10 = 6 + 2x + 2x +8
5x - 4x = 14 - 10
x = 4
Therefore;The first number (x) = 4
The second number ( x + 2) = 4 + 2 = 6
The third number (x + 4) = 4 + 4 = 8
Answer:
2x + 2x +2 + 2x +4 = 6x +6 =Sum
5 * (2x +2) = 2 * (2x + 2x +4) +6
10x + 10 = 8x + 8 + 6
2x = 4
x = 2
So the numbers are:
2x or 4
2 x + 2 = 6
2x + 4 = 8
Double-Check
5 * 2nd integer = 30
2 * (1st + 3rd integers) = 24
30 is 6 more than 24
Success!!!
Step-by-step explanation:
3/2 x -6
hahshdnndndndjd
How do I solve this
Answer:
it's 67
Step-by-step explanation:
Step-by-step explanation:
the base is already same.
-9 + (-8) - (-7) = -10
= m^-10
