an angle measures 15 degrees more than its complement. Find the measures of the two angles
Answer:
The first angle is 37.5° and the second would be 52.5°
Step-by-step explanation:
Angles are complementary when their sums add up to 90°.
[tex]x+(x+15) = 90\\x+x+15=90\\x+x=75\\x=37.5[/tex]
The first angle is 37.5° and the second would be 52.5°, after we plug in x.
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Answer:
Angle 1 = x = 37.5°Angle 2 = x + 15 = 52.5°Concept:
Here, we need to know the idea of the complementary angle.
Two angles are said to be complementary if they add up to 90 degrees.
Be aware that three or more angles cannot be complementary even if their sum is 90 degrees.
Solve:
Given information
Angle 1 = x
Angle 2 = x + 15
Given expression deducted from the definition of the complementary angle
Angle 1 + Angle 2 = 90
Substitute values into the expression
(x) + (x + 15) = 90
Combine like terms
(x + x) + 15 = 90
2x + 15 = 90
Subtract 15 on both sides
2x + 15 - 15 = 90 - 15
2x = 75
Divide 2 on both sides
2x / x = 75 / 2
[tex]\boxed{x=37.5}[/tex]
Find the measure of angle 2
Angle 2 = x + 15 ⇔ Given expression
Angle 2 = (37.5) + 15 ⇔ Substitute values into the expression
Angle 2 = [tex]\boxed{52.5}[/tex] ⇔ Simplify by addition
Hope this helps!! :)
Please let me know if you have any questions
What is the answer to -1 5/8 × 2 2/3
Answer: -13/3
Step-by-step explanation: -1 5/8 -> -13/8 2 2/3-> 8/3
-13/8 x 8/3 = -104/24
= -13/3 OR -4 1/3
What is the length of BC?
Select the best answer from the choices provided.
A.4
B.4v2
C.8v2
D.16
Delores works weekends at the local coffee shop. Last weekend, she worked for 7.5 hours on Saturday and 8 hours on Sunday. If she earns $9 per hour, how much did she earn last weekend?
Answer:
So she earned 148 dollars and 50 cents or 148.5
Step-by-step explanation:
Please help !!! Whoever gets the best straight forward answers gets full points PLEASE THIS IS DUE TONIGHT
Step-by-step explanation:
this the solution hope it is helpful for you
A and B are vertical angles. If m A = (4x + 8)° and m B = (2x + 28)°,
then find the value of x.
Answer:
x = 10
Step-by-step explanation:
By the Vertical Angles Theorem that states the vertical angles are congruent.
4x+8 = 2x + 28
-8 -8
-----------------------
4x = 2x + 20
-2x -2x
-------------------------
2x = 20
/2 /2
--------------------------
x = 10
Answer:
[tex](4x + 8) = (2x + 28) \\ \\ 4x + 8 = 2x + 28 \\ \\ 4x - 2x = 28 - 8 \\ \\ 2x = 20 \\ \\ x = \frac{20}{2} \\ \\ x = 10[/tex]
Vertical angel are always Equal ( = )
Find the midpoint between two points on a coordinate plane whose coordinates are (5, 7) and (-3, 1).
A. (4,4)
B. 12,8)
C. (8,8)
D. (1.4)
Answer:
(1,4)
Step-by-step explanation:
To find the x coordinate of the midpoint, average the x coordinates of the endpoints
(5+-3)/2 = 2/2 =1
To find the y coordinate of the midpoint, average the y coordinates of the endpoints
(7+1)/2 = 8/2 =4
(1,4)
Answer:
D. (1.4)
Step-by-step explanation:
Find the largest prime factor of 18! + 19! + 20!
18! is common to each term in the sum:
18! + 19! + 20! = 18! (1 + 19 + 19×20) = 18!×400
The largest prime factor of 18! is of course 17.
Meanwhile,
400 = 16×25 = 2⁴×5²
so the largest prime factor of 18! + 19! + 20! is 17.
In 35 ÷ 7 = 5, 5 is the
Given:
A6, 4), M(8, 1)
Find: B
Answer:
Coordinates for B= (10,-2)
Step-by-step explanation:
The solution is shown in the image provided step by step, as it was not possible typing it on this given space here. Hope it helps :)
A soda company had sales of $35,107 million in 2010 and $45,984 million in 2014. Use the Midpoint Formula to estimate the sales in 2012. Assume that the sales followed a linear
pattern.
$ __ million
Answer:
40545.50 mill
Step-by-step explanation:
so the average rate from 2010 to 2014 is a change of 4 years with a increase of 2719.25 milllion per year so if that rate started at the 2010 value (35107 million) then if you add the average rate twice you get how much they would of made in 2012 so 35107 plus 2719.25 plus 2719.25 you get 40545.50 million so that the answer oh yea and its like a 5 million pattern over 2 years that why average rate is 2.5ish
Is 5.787787778... a rational or irrational number?
Explain.
Answer:
irrational
Step-by-step explanation:
irrational number is an endless number/number that doesnt end and so are that number.
A ball is thrown into the air with an upward velocity of 80 feet per second. The function
h = -16t2 + 80t models the height h, in feet, of the ball at time t, in seconds. When will the ball reach the ground?
after 3 seconds
after 4 seconds
after 5 seconds
after 6 seconds
Best explanation gets Brainliest!!
Answer:
After 5 seconds
Step-by-step explanation:
One is given the following expression to model to the flight path of a ball:
[tex]h=-16t^2+80t[/tex]
In this problem, one is asked to find the time at which the ball lands on the ground. The easiest way to do so is to factor the expression. Take out factors that both terms have in common. The one will set the equation equal to zero, as this is the height at which one wants to find the time for. Finally, use the zero product property to solve. The zero product property states that any number times zero equals zero. Apply these ideas to the given function:
[tex]h=-16t^2+80t[/tex]
Factor the expression; both terms have a common factor of (-16t):
[tex]h=-16t^2+80t[/tex]
[tex]h=-16t(t-5)[/tex]
Set the equation equal to zero to solve for when the ball has a height of zero or rather lands on the ground:
[tex]h=-16t(t-5)[/tex]
[tex]0=-16t(t-5)[/tex]
Now use the zero product property, this states that any number times zero equals zero. Set each of the factors equal to zero, and solve to find the value of (t) for which the factor will equal zero:
[tex]0=-16t(t-5)[/tex]
[tex]0=-16t[/tex] [tex]t - 5 =0[/tex]
Solve for the value (t) using inverse operations,
[tex]0=-16t[/tex] [tex]t - 5 =0[/tex]
(divide by (-16) (add (5))
[tex]0=t[/tex] [tex]t=5[/tex]
As one can see, the ball started on the ground, therefore at (0) seconds, its height was (0). Then, after (5) seconds the ball landed on the ground, therefore, after (5) seconds its height was again (0).
What is the answer to this question
Answer:
3/14
Step-by-step explanation:
5/7 = 10/14
1 - 10/14 - 1/14 = 1 - 11/14 = 3/14
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
23) A shopkeeper buys 1 dozen of pens at Rs. 20 each and sells at Rs. 18 each. Find his loss and loss percent. 24) The marl
Answer:
loss = 24, loss % = 10
Step-by-step explanation:
amount he spent = 12*20 = 240
amount he earnt = 12*18 =216
loss = 240-216 = 24
loss % = 24/240 x 100% = 10%
Answer:
yes
Step-by-step explanation:
25 POINTS, I DONT UNDERSTANDDDDDD :C WHAT IS SO MISLEADING ABOUT THIS GRAPH???
Answer:
honestly, the graph look totally fine...
If one ere pressed to find something to complain about it, one could suggest that you do not know if this was the starting price of the stock or the ending price of the stock each day?... One could also argue that to be a bit more meaningful you might want to know the range of prices during each day...
look up what is called a candle stick graph.. each day looks like a candlestick... the top is the highest value each the bottom the lowest, and there is a line in the candle that shows the closing price
Step-by-step explanation:
pls help i’m bad at math asap
Find the distance between the two points. (3,-1), (-4,5)
Answer:
Step-by-step explanation:
9.21954445 to round 9 :D have a bless day
where does 0.5 goes on a real number line
what affect does an outlier have on a box plot
how do you solve this problem
Answer:
(-6,1)
Step-by-step explanation:
-x + y = 7 [Equation (1)]
2x + 5y = -7 [Equation (2)]
Multiplying equation (1) by 5, to make the coefficients of y equal in both equations.
5(-x + y) = 5(7)
=> -5x + 5y = 35 [Equation (3)]
Subtracting equation (3) from equation (2).
(2x + 5y) - (-5x + 5y) = -7 - 35
=> 2x + 5y + 5x - 5y = -7 - 35
=> 7x = -42
=> x = -42/7
=> x = -6
Putting the value of x in equation (1).
-(-6) + y = 7
=> 6 + y = 7
=> y = 7 - 6
=> y = 1
So, x = -6 and y = 1.
find the range of f in given ordered pair f(X)=8x-9,D={4,5,6}. plz. help fasttt plspls
Answer:
f(2) = -2 + 12 = 10 so the ordered pair is (-2, 10).
Convert from radians to degrees. Show all work. You can type pi for the symbol
7/12 pi
Answer:
The answer is [tex]\frac{7\pi }{12}^{c}=105^{0}[/tex]
Step-by-step explanation:
The expression is
[tex]\frac{7\pi }{12}^{c}\\= \frac{7\pi }{12}*\frac{180}{\pi }^{0} \,;[1^{c}=\frac{180}{\pi}^{0}]\\=7*15\\=105^{0}[/tex]
Hope you have understood this....
pls mark my answer as the brainliest
Suppose that NOP is isosceles with base.
Suppose also that and.
Find the degree measure of each angle in the triangle.
Step-by-step explanation:
In isocseles triangle, base angles are equal :
base angles are angle N and angle P:
angle N=angle P
3x+17=4x+2
4x-3x=17-2
x=15
For angle N:
subtitute x in angle N
=3(15)+17
=45+17
=62
For angle P:
subtitute x in angle P:
=4(15)+2
=60+2
=62
For angle O:
sum of all angles in a triangle is 180.
angle N +angle P+angle O=180
62+62+angle O=180
angle O=180-62-62
angle O=56
Note: if you have any question let me know about it. thanks
ASAP
Write the following phrase as a variable expression. Use x to represent "a number".
the sum of a number and one
The translation is ____
ax-y+z=b, answer for x
Answer:
[tex]ax - y + z = b \\ ax = b + y - z \\ \\ x = \frac{ b + y - z }{a} [/tex]
I hope I helped you^_^
Find the perimeter of the irregular hexagon with side lengths y, 2y + 11, -3y - 9, y^2, 5y - 1, and бу^2.
Answer:
PERIMETER=Y+2Y+11+-3Y-9+Y^2+5Y-1+6Y^2
=7Y^2+4Y+1
help me urgent please
Answer:
answer is c. either you can do T x O = I
or trial and error then you see.
PLEASE HELP! WILL GIVE BRAINLIEST
Answer:
73
Step-by-step explanation:
Angle JID is supplementary to Angle JIH so:
180- Angle JIH= Angle JID
180-107=73
Angle JID is opposite to Angle AJF(angle x)
Opposite angles are always equal
Angle JID=Angle AJF(x)
73=Angle AJF(x)
Answer:
Angle x = 76⁰
Step-by-step explanation:
Refer to attachment if it is useful
The price of an item yesterday was $120. Today, the price rose to $156.
Answer:
30% increase
Step-by-step explanation: