∠A and \angle B∠B are complementary angles. If m\angle A=(x-21)^{\circ}∠A=(x−21) ∘ and m\angle B=(2x-15)^{\circ}∠B=(2x−15) ∘ , then find the measure of \angle A∠A.
Answer:
A = 21 degrees
Step-by-step explanation:
Here in this question, we are told to calculate the value of angle A.
When two angles are tagged complementary, what this means is that the addition of both angles gives a total of 90 degrees.
Hence;
A + B = 90
This means that;
(x-21) + (2x -15) = 90
x + 2x -21-15 = 90
3x -36 = 90
3x = 90+ 36
3x = 126
x = 126/3
x = 42
But we are told to calculate the measure of A
A = x -21
A = 42-21
A = 21 degrees
Answer:
21
Step-by-step explanation:
Tell whether (-3, 3) is a solution of the system.
Answer:
the answer to that would be 0.
Step-by-step explanation:
WILL GIVE BRAINLIEST! Determine the coordinates of the point on the straight line y=3x+1 that is equidistant from the origin and (−3, 4).
Answer:
[tex](\frac{17}{18}, \frac{23}{6})[/tex]
Step-by-step explanation:
D1 = [tex]\sqrt{(x+3)^2 + (y-4)^2}[/tex]
D2 = [tex]\sqrt{x^2 + y^2}[/tex]
Then set D1 = D2, and substitute in y = 3x+1
[tex]\sqrt{(x+3)^2 + (3x-3)^2}[/tex] = [tex]\sqrt{x^2 + (3x+1)^2}[/tex]
[tex]x^2 +6x +9 +9x^2 - 18x + 9 = x^2 + 9x^2 + 6x + 1[/tex]
[tex]18x = 17[/tex]
x = 17/18
Then to find y, substitute back in x for y = 3x + 1
[tex]y = \frac{17}{18} * 3 + 1[/tex]
y = 23/6
The coordinates of the point on the straight line y = 3x + 1 is [tex](\frac{17}{18} ,\frac{23}{6} )[/tex].
Here,
The equation of straight line is y = 3x + 1
And, it is equidistant from the origin and (-3, 4)
We have to find the coordinates of the point on the straight line.
What is the distance between the two points?
The length of the line segment that connects the two given points, is called distance between two points.
Now,
Let the point (x, y) on the line y = 3x + 1.
Distance between the points (x, y) and (0, 0) is;
[tex]D = \sqrt{(x-0)^2+(y-0)^2}[/tex]
[tex]D = \sqrt{x^{2} +y^{2} }[/tex]
And, Distance between the points (x, y) and (-3, 4) is;
[tex]D = \sqrt{(x+3)^2+(y-4)^2}[/tex]
[tex]D = \sqrt{x^{2} +6x+9+9x^{2} -18x+9}[/tex]
Equating both distance we get;
[tex]\sqrt{x^{2} +6x+9+9x^{2} -18x+9} = \sqrt{x^{2} +y^{2} }\\\\ {x^{2} +6x+9+9x^{2} -18x+9} = x^{2} + y^{2} \\\\18x = 17\\\\x = \frac{17}{18}[/tex]
And, To find y put the value of x in y = 3x + 1, we get;
[tex]y = 3 * \frac{17}{18} + 1\\\\y = \frac{23}{6}[/tex]
Hence, The coordinates of the point on the straight line y = 3x + 1 is [tex](\frac{17}{18} ,\frac{23}{6} )[/tex].
Learn more about the distance between two points visit:
https://brainly.com/question/23848540
#SPJ2
Torque is described as T = r * F, where r = radius which is measured in feet from the fulcrum point and F = Force which is measured in pounds. What is a possible unit measure for Torque?
Answer:
(pound-feet)
Step-by-step explanation:
Given that:
Torque = r × F
Where ; r = radius in feet ; F = force in pounds
Hence, a possible unit measure of torque using the units provided for both force and Radius will be :
r (feet) × F (pounds) = Torque (pound-feet)
Hence, the possible unit of measure of torque = (pound-feet)
Other unit measure may be :
r (metres) × F(Newton) = Torque (newton-metre)
What graph is a function of x
please help ASAP i don’t understand this !!
Answer:
f(-7) = -3
Step-by-step explanation:
f(x) = ( x-2)/3
Let x = -7
f(x) = ( -7-2)/3
= (-9)/3
= -3
What is 6/11 as a decimal
Answer:
0.54
Step-by-step explanation:
6 divided by 11 is 0.54-non-terminating therefore we get 0.54
Answer:
0.5455
Step-by-step explanation:
Plz choose mine as brainliest
Solve: 2/x + 3/2x - 1/2 = 2/3
Answer:
Step-by-step explanation:
[tex]\frac{2}{x}+\frac{3}{2x}-\frac{1}{2}=\frac{2}{3}\\multiply ~by~6x\\12+9-3x=4x\\21=4x+3x\\7x=21\\x=21/7=3[/tex]
round the numbers to estimate the quotient 29 1/5 divided by 4 6/7
Answer:
The anwser is 6.01176470588
Your phone plan cost $34.99 per month plus $.16 for each text message you sent receive. You have at most $40 to spend on your phone bill what is the maximum number of text messages that you can send receive next month
Answer:
250 messages
Step-by-step explanation:
Cost per message: $0.16
Maximum bill: $40
Maximum # of messages = $40/$0.16 = 250 messages
find the midpoint of a line segment with the given endpoints.(8,-3) (-8,1)
Answer:
(0,-1)
Step-by-step explanation:
sams collects baseball cards he has 6 binders full of cards each page in the binder holds six cards and each binders has 36 pages how many baseball cards has Sam collected
Answer:
1,296
Step-by-step explanation:
36 pages x 6 cards a page = 216 cards per binder
216 cards x 6 binders = 1296
The number of baseball cards Sam collected will be 1,296.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that sam collects baseball cards he has 6 binders full of cards each page in the binder holds six cards and each binder has 36 pages.
The number of cards will be calculated as:-
36 pages x 6 cards a page = 216 cards per binder
216 cards x 6 binders = 1296
Hence, the number of cards will be 1,296.
To know more about an expression follow
https://brainly.com/question/19864728
#SPJ2
Write the equation g(x) of the transformation of the parent graph f(x) = |x| stretched vertically by a factor of 4 and translated up 2 units.
Answer:
g(x) = 4|x| +2
Step-by-step explanation:
f(x) = |x|
y = f(x) + C C > 0 moves it up
g(x) = |x| +2 moves it up 2 units
y = Cf(x) C > 1 stretches it in the y-direction
g(x) = 4|x| +2 stretch by 4
We start off with: f(x) = |x|
c > 0 means move up
y = f(x) + c
2 units up
After: g(x) = |x| + 2
c > 1 means y-direction stretch
y = cf(x)
4 unit stretch
After: g(x) = 4|x| + 2
Best of Luck!
Help please I can’t find the answer!
-5
A function is where each input is related to exactly one output. Because -5 was already previously listed as an x value in an ordered pair, it can not be used in a function. Another way of thinking of a function is if it passes the vertical line test where a vertical line can only pass through your line once. Let me know if this doesn't make sense!
a store is having a sale to celebrate Labor Day every item in the store is advertised as one-fourth off the original price if am item is marked with a sale price of $126 what would be the original price
Answer:
$168
Step-by-step explanation:
1. x - 1/4x = 126
2. multiply each side by 4
3. 4x - x = 504
4. 3x = 504
5. divide each side by 3
6. x = 168
Which square root has a value between 13.8 and 14.5
A.190
B. 200
C. 213
D. 220
Answer:
B: 200
Step-by-step explanation:
The sqr of 200 is equal to 14.14. when plugged into the perimeters 13.8<x<14.5 , 14.14 satisfies the condition
The square root has a value between 13.8 and 14.5 is 200.
Option (B) is correct.
What is square root?A factor of a number that, when multiplied by itself, gives the original number. The square root of any number can be expressed using the formula: √y = y½.
Given:
The square root has a value between 13.8 and 14.5.
We have to find the square root has a value between 13.8 and 14.5.
According to given question we have
[tex]13.8 ^{2} =190.44\\\\14.5^{2} =210.25\\[/tex]
So, the square root has a value between 13.8 and 14.5 is 200.
when plugged into the perimeters 13.8<x<14.5.
Therefore, the square root has a value between 13.8 and 14.5 is 200.
Learn more details about square root here:
https://brainly.com/question/3120622
#SPJ2
what's pi means for a repeating decimal
Please Help !! Show All Work !!
Answer:
1) (4,4) 2) (4,0) 3) (6,1)
Step-by-step explanation:
[tex](\frac{5+13}{2} )(\frac{7+1}{2} )\\(\frac{8}{2} )(\frac{8}{2} )\\(4,4)[/tex]
[tex](\frac{-3+7}{2} )(\frac{-3+3}{2} )\\(\frac{4}{2} )(\frac{0}{2} )\\(4,0)[/tex]
[tex]\frac{-5+x_2}{2} =1[/tex] multiply 1 by 2=2 then write[tex](+5)-5+x_2=1(+5)\\x_2 = 6[/tex]
[tex]\frac{3+y_2}{2} =2[/tex] multiply 2 by 2= 4 then write [tex](-3)3+y_2=4(-3)\\y_2=1[/tex]
What is (2a^3 b^4 c^3)^2 • (4a^2 bc^3)
Answer:16 a 8 9 c 9
Step-by-step explanation:
if the perimeter of a square is 8√2, find the area of the square
Answer:
Area=128
Step-by-step explanation:
p=8[tex]\sqrt{2}[/tex]
A=p^2
put value of p
A= (8[tex]\sqrt{2}[/tex])power2
A= (8^2* [tex]\sqrt{2}[/tex]^2)
A=64 * 2 (square root of 2 will be cancel by power 2)
A= 128
PLEASE HELP MEEEE I WANT TO CRY BECAUSE IM SO CONFUSED :( ILL GIVE YOU A BRAINLIEST ANSWER! (PLEASE DONT JUST TYPE A RANDOM ANSWER)
The parent equation would be y=x^2 because that is the parent equation of a quadratic function. ;)
Can you help me with this one ?
Answer:
y = 2x-3
Step-by-step explanation:
We can use those 2 points given to solve for the slope (m) and for the y-intercept (b) in the equation y = mx+b
Slope:
(3,3) and (4,5)
m = [tex]\frac{y2-y1}{x2-x1}[/tex]
m = [tex]\frac{5-3}{4-3}[/tex]
m = 2
Y-intercept:
y = 2x+b
3 = 2(3) +b
3 = 6+b
b = -3
equation: y = 2x-3
are all composite numbers even
Answer:
No.
Step-by-step explanation:
A composite number has factors in addition to one and itself. The numbers 0 and 1 are neither prime nor composite. All even numbers are divisible by two and so all even numbers greater than two are composite numbers. All numbers that end in five are divisible by five. Therefore all numbers that end with five and are greater than five are composite numbers.
Help me plz I don't understand this
Answer:
D. [tex]\frac{10}{15}[/tex] and [tex]\frac{14}{21}[/tex]
Step-by-step explanation:
Proportional ratios are ratios that represent the same relationship. One way to check this is to reduce the ratios, because if they are proportional, they will equal the same thing. Both [tex]\frac{10}{15}[/tex] and [tex]\frac{14}{21}[/tex] simplify to [tex]\frac{2}{3}[/tex].
Hope this helps!!
Answer:
its D
Step-by-step explanation:
if you divide 10/15 its .666 and if you divide 14/21 its .666 so there equal BRAINLEIST????
1. 3x + y = 4
I need help I need to solve for y
Answer:
[tex]y=4-3x[/tex]
Step-by-step explanation:
[tex]3x+y=4[/tex]
Subtract 3x from both sides:
[tex]3x+y-3x=4-3x[/tex]
[tex]y=4-3x[/tex]
Answer:
its answer is
y=4-3x ok
solve for 2(5y-1)=28
answer: x=3
you divide both side by 2
if it is 2:32 what time would it be 1 hour and 30 minutes later
Step-by-step explanation:
2:32 + 1:30
3:62= 4:02 is the time
I need help ASAP please
Answer: x =168
Step-by-step explanation:I think it would be 80 plus 88 so its 168.
Mei subscribed to a magazine at a rate of $24 for 12 issues. When she placed her order, Mei used a coupon that added 3 free bonus issues to her subscription. How did the coupon impact the cost per issue of Mei’s subscription?
Answer:
it the first one because if you add 12 + 3 its fifteen and then you divide and compare the two to get the answer
Step-by-step explanation:
Add and write the result in the form a+bi. a. (4 + 2i) + (-6 - 7i)
Answer:
- 2 - 5i
Step-by-step explanation:
Given
(4 + 2i) + (- 6 - 7i) ← remove the parenthesis
= 4 + 2i - 6 - 7i ← collect like terms
= - 2 - 5i