Answer:
1. 155 degree
2. 135 degree
3. 105 degree
Step-by-step explanation:
1. Let the original angle is 50 degree, the opposite angle which forms a linear pair is 180 - 50 = 130 degree.
Now the angle bisector is 25 degree from the original ray , the angle between the bisector and the opposite ray is 130 + 25 = 155 degree.
2. Let the original angle is 90 degree, the opposite angle which forms a linear pair is 180 - 90 = 90 degree.
Now the angle bisector is 45 degree from the original ray , the angle between the bisector and the opposite ray is 90 + 45 = 135 degree.
3. Let the original angle is 150 degree, the opposite angle which forms a linear pair is 180 - 150 = 30 degree.
Now the angle bisector is 75 degree from the original ray , the angle between the bisector and the opposite ray is 30 + 75 = 105 degree.
Solve the following for the value of the pro-numeral:
(c - 7) / 2 = -5
Answer:
[tex] \frac{(c - 7)}{2} = - 5 \\ c - 7 = - 5 \times 2 \\ c - 7 = - 10 \\ c = - 10 + 7 \\ c = - 3[/tex]
I hope I helped you^_^
Which of the relations given by the following sets of ordered pairs is a function?
Select one:
a.
{(2,4),(2,6),(2,8),(2,10),(2,12)}
b.
{(−5,−4),(−4,−3),(−3,−2),(−4,−5),(−2,−1)}
c.
{(0,3),(−6,8),(−3,5),(0,−3),(7,11)}
d.
{(8,1),(−4,1),(3,5),(0,4),(−1,2)}
Answer:
d.{(8,1),(−4,1),(3,5),(0,4),(−1,2)} - function
Step-by-step explanation:
a.{(2,4),(2,6),(2,8),(2,10),(2,12)}
Each value of x goes to more than one value of y- this is not a function
b. {(−5,−4),(−4,−3),(−3,−2),(−4,−5),(−2,−1)}
The value of x at -4 goes to more than one value of y- this is not a function
c.{(0,3),(−6,8),(−3,5),(0,−3),(7,11)}
The value of x at 0 goes to more than one value of y- this is not a function
d.{(8,1),(−4,1),(3,5),(0,4),(−1,2)}
Each value of x goes to only one value of y- this is a function
im stuck between B and D please help
Answer:
maybe it's D ( not sure tho)
binomial expansions for clever cookies
The answers are in the red rectangles with the work.
Let me know if something is unreadable.
please help! Similarity transformations!! I’ll mark brainliest later on :)
1. 1/2
2. Y
3. 1 left 3 ups. (-1, 3)
Which is more likely when tossing two dice: a sum of 3 or a sum of 5?
Answer:
In my opinion, I think a sum of 5.
Step-by-step explanation:
Since you are tossing two dice, you will likely get a higher value than 3.
How many ways can a 3 come up ?
1 - 2
2 - 1
How many ways can a 5 come up ?
1 - 4
2 - 3
3 - 2
4 - 1
There are four ways to roll a 5, but only two ways to roll a 3.
So a sum of 5 is more likely.
What is the volume of this figure?
Answer:
156.25
Step-by-step explanation:
1/2 × b ×h =12.5
12.5 ×9 =156.25 hope you ace it
HELP, round to the nearest penny.
$11,579.9998
Answer:
11,580.00
Step-by-step explanation:
So basically all you need to do is round to the nearest 0.01 or the hundredths place. What you would do is round each place by so and you will eventually get the answer of 11,580.00
Hope this helps!!! Have a good rest of your day! :)
What is the equation of the line that passes through the points (–12, –8) and (–17, –16)?
Answer:
firstly find the gradient given by the equation
m=y2-y1/x2-x1
in this case x1 is -12,x2 is -17, y1 is -8 and y2 is-16
m=-16+8/-17+12
=-8/-5 or1.6
then use the equation
y-y1=m(x-x1)
y+8=1.6(x+12)
y+8=1.6x+19.2
y=1.6x+11.2
I hope this helps and sorry if it's wrong
1. When doing polynomial division, the terms should be in order of their exponents, highest
to lowest, with the number last.
Answer:
True
Step-by-step explanation:
The powers must be arranged from highest to lowest for both the numerator and the denominator, so the terms will line up during the subtraction steps.
If you know the answer please let me know
268×7{34_56}÷890
Ayudaaa
268×7(34-56)÷890
= -5159
Must click thanks and mark brainliest
Planes X and Y and points C, D, E, and F are shown.
Which statement is true about the points and planes?
• С
The line that can be drawn through points C and D is
contained in plane Y.
O The line that can be drawn through points D and E is
contained in plane Y.
O The only point that can lie in plane X is point F.
O The only points that can lie in plane Y are points D
and E.
D
E
.
Mark this and retum
Save and Exit
Next
Submit
Answer:
6
Step-by-step explanation:
1. Determine the set of each of the following equations for 0° ≤ x 360° or 0° ≤ t ≤ 360°
a) sin 2 x°= 1/2√2
2. find all the solution in the interval 0° ≤ z ≤ 360° of the following equation
sin 3 z = - 0,42
Please help Me
SOS
Answer:
a).
[tex] \sin(2x) = \frac{1}{2 \sqrt{2} } \\ \\ 2x = { \sin }^{ - 1} ( \frac{1}{2 \sqrt{2} } ) \\ \\ 2x = 45 \degree[/tex]
since sine is in the 2nd quadrant, other angle = 180° - x:
[tex]2x = 45 \degree, \: 135 \degree[/tex]
we must make two rotations since it's a double angle:
[tex]2x = 45 \degree, \: 135\degree, \: 225\degree, \: 315\degree, \: 495\degree, \: 675\degree \\ [/tex]
divide each angle by 2:
[tex]x = 22.5\degree, \: 67.5\degree, \: 112.5\degree, \: 157.5\degree, \: 247.5\degree, \: 337.5\degree \\ [/tex]
Answer = {x: x = 22.5°, 67.5°, 112.5°, 157.5°, 247.5, 337.5°}
b).
[tex] \sin(3z) = - 0.42 \\ 3z = { \sin }^{ - 1} ( - 0.42) [/tex]
since ans is negative, we take the quadrants of cosine and tangent:
[tex]3z = 204.8\degree, \: 335.2\degree [/tex]
we make three rotations:
[tex]3z = 384.8\degree, \: 515.2\degree, \: 695.2\degree, \: 875.2\degree, \: 1055.2\degree, \\ [/tex]
answer is {z : z = 128.3°, 171.7°, 231.7°, 291.7°, 351.7°}
Determine the point of intersection of the lines x + y = 4 and 2x + 3y = 12
Answer:
(2,2)
Step-by-step explanation:
x=4-y
2 ( 4 - y )+ 3y= 12
2y = 12 -8
y= 2
substitute y in first eq. :
x=4 - 2
x= 2
PLEASE HELP!! WILL MARK BRAINLIEST
Answer:
x = 25/2
y = 5
Step-by-step explanation:
The angles are corresponding angles and corresponding angles are equal when the lines are parallel
4x+8y = 18y
We also know that 18y +90 = 180 since they form a straight line
18y +90 = 180
Subtract 90 from each side
18y+90-90=180-90
18y = 90
y =5
Now we can solve for x
4x+8y = 18y
4x+8y-8y = 18y-8y
4x = 10y
Since y = 5
4x = 10(5)
4x = 50
4x/4 = 50/4
x = 25/2
x = 50/4
PLEASE HELP ASAP
A helicopter hovers 500 feet
above a small island. The
figure shows that the angle of
depression from the helicopter
to point P is 48º. How far off
the coast, to the nearest foot, is
the island?
d ft
(Round the answer to the nearest whole number.)
Answer:
d = 450 ft
Step-by-step explanation:
Hi there!
First, we can find the angle in the triangle at the point of the helicopter, the angle opposite [tex]d[/tex]. Subtract 48° from 90°:
90-48=42
Now, given that this is a right triangle and we have an angle and the side adjacent the angle, we can solve for [tex]d[/tex] by using the tangent ratio:
[tex]tan\theta=\displaystyle \frac{opposite}{adjacent}[/tex]
Replace θ with 42°, "opposite" with [tex]d[/tex], and "adjacent" with 500 ft:
[tex]tan(42)=\displaystyle \frac{d}{500}[/tex]
Multiply both sides by 500 to isolate [tex]d[/tex]:
[tex]500*tan(42)=d\\450=d[/tex]
Therefore, d = 450 ft when rounded to the nearest whole number.
I hope this helps!
find the probability of picking a red marble and a green marble when 2 marbles are picked (without replacement)from a bag containing 6 red and 6 green marbles.}
p = 6/11.
So we have a bag that contains 6 red marbles and 6 green marbles.
Then the total number of marbles that are in that bag is:
6 + 6 = 12
There are 12 marbles in the bag, and we assume that all marbles have the same probability of being randomly drawn.
Now we draw two marbles, we want to find the probability that one is red and the other is green.
The first marble that we draw does not matter, as we just want the second marble to be of the other color.
So, suppose we draw a green one in the first attempt.
Then in the second draw, we need to get a red one.
The probability of drawing a red one will be equal to the quotient between the red marbles in the bag (6) and the total number of marbles in the bag (12 - 1 = 11, because one green marble was drawn already)
Then the probability is:
p = 6/11.
Notice that would be the exact same case if the first marble was red.
Then we can conclude that the probability of getting two marbles of different colors is:
p = 6/11.
Which of the following is most likely the next step in the series?
A.
B.
C.
D.
Answer:
B
Step-by-step explanation:
In each one, they add two arrows that are to the right as much as they possibly can be
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART
PLEASE GIVE EXPLANATION
Answer:
[tex]{ \bf{ \sec( \theta) = \frac{10}{6} }}[/tex]
Step-by-step explanation:
[tex]{ \boxed{ \bf{ \cos( \theta) = \frac{adjacent}{hypotenuse} }}}[/tex]
Adjacent = 6
Hypotenuse = 10
[tex]{ \sf{\sec( \theta) = \frac{1}{ \cos( \theta) } }}[/tex]
therefore:
[tex]{ \sf{ \sec( \theta) = \frac{hypotenuse}{adjacent} }} \\ \\ { \sf{ \sec( \theta) = \frac{10}{6} }}[/tex]
Vina is asked to graph this system of equations:
2x - 4y = 3
7y - 5x = 8
How many times will the lines intersect?
A. There is no way to tell without graphing the lines first.
B. The lines will intersect once, because this system has one
solution.
C. The lines will intersect infinitely many times, because they are
identical.
D. The lines will not intersect, because this system has no solutions.
Answer:
Option B
Step-by-step explanation:
You'll find one solution for this, so this system has one solution
Answer:
B.
Step-by-step explanation:
Just did it and got it correct
the sum of three consecutive even integers is 312. Find the integers
Answer:
Therefore, three consecutive integers that add up to 312 are 103, 104, and 105. We know our answer is correct because 103 + 104 + 105 equals 312 as displayed above
Answer:
102, 104, 106
Step-by-step explanation:
If each number is an even integer, then the one's place must be an even number like 2 4 6. 102 + 104 + 106 = 312
x^3+x^2+x+1 ÷x-1/2 find the remainder
Answer:
Hello,
remainder is 15/8
Step-by-step explanation:
[tex]\begin{array}{c|ccc|c}&x^3&x^2&x&1\\---&---&---&---&---\\&1&1&1&1\\x=\dfrac{1}{2} &&\dfrac{1}{2} &\dfrac{3}{4} &\dfrac{7}{8} \\---&---&---&---&---\\&1&\dfrac{3}{2}&\dfrac{7}{4}&\dfrac{15}{8}\\\end{array}\\\\\\x^3+x^2+x+1=(x-\dfrac{1}{2} )*(x^2+\dfrac{3}{2}x+\dfrac{7}{4}) +\dfrac{15}{8}[/tex]
Answer please be quick
Answer:
B
Step-by-step explanation:
The correct answer is B
Can someone please explain how to do this? You don't have to answer the questions but If you can give me an explanation/formula to solve. it would help me a lot thank you. marking brainliest when I can.
Answer:
a. The 1's are heavier than the x's. There isn't a whole number on top of the x's.
b. The equation would be 2x<9 because the 9 is greater(heavier) than the 2x. To continue to solve you would divide 2 by both sides. That would turn into x<9/2.
Step-by-step explanation:
find the ratio between 6 cm and 1.5m
Answer:
6:150
Step-by-step explanation:
If you like my answer mark me brainliest
Answer:
1:25
Step-by-step explanation:
1.5m=150cm
6:150
1:25
Shelly charges $10 per hour for her babysitting servives. Last month Shelly babysat for 15 hours. This month she babysat for n hours.
a. Write an expression using parentheses to describe how much money she made.
b. Given that n=12, evaluate your expression using the distributive property.
Answer:
A. 10(15) + 10n = $ made for babysitting
B. $270
Step-by-step explanation:
B. 10(15) + 10(12)
150 + 120 = $270
A pole that is 2.7 m tall casts a shadow that is 1.56 m long. At the same time , a nearby building casts a shadow that is 38.25 m long. How tall is the building ? Round your answer to the nearest meter.
Set up a ratio of height/ shadow
2.7/1.56 = x/38.25
Cross multiply:
1.56x = 103.275
Divide both sides by 1.56
X = 66.2
Round to nearest meter = 66
Answer: 66 meters
simplify the below equation
[tex]( {8x^{2} y^{3} )( \frac{3}{8}x {y}^{4} )[/tex]
Answer:
3x^3y^7.
Step-by-step explanation:
8 * x^2 * y^3 * 3/8 * x * y^4
= 8 * 3/8 * x^2 * x * y^3 * y^4
= 3x^3y^7.
Answer:
3x^3y^7
Step-by-step explanation:
( 8 x^2 y^3) *( 3/8 x y^4)
Multiply the coefficients
8 * 3/8 = 3
Multiply the x terms
x^2*x = x^3
Multiply the y terms
y^3 * y^4 = y^(3+4) = y^7
Put them back together
3x^3y^7
what is the value of x ?
