Lines a and b are parallel. What is the measure of angle b? Enter your answer in the box. b = ∘ Two horizontal lines the top lin
e labeled a and the bottom labeled b with an angled line intersecting both making eight angles, top right angle labeled seventy nine degrees and the bottom right angle labeled X degrees
2 answers:
Answer:
The measure of is
.
Step-by-step explanation:
Given: Lines a and b are parallel to each other.
To find: The measure of the angle b.
Solution: It is given that Lines a and b are parallel to each other, thus using the parallel lines properties, we have
(Vertically opposite angles)
Now, and
forms the corresponding angle pair, thus they are congruent.
Hence, =
=
.
Therefore, the measure of is
.
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Answer:
10, 12, 14, 16
Step-by-step explanation:
Given: Four consecutive even integers such that seven times the first exceeds their sum by 18.
Lets assume the first number be "x".
As it is even integers
∴ Second consecutive number will be
Third consecutive number will be
Fourth consecutive number will be
Now, as given seven times the first exceeds their sum by 18.
∴
solving the equation to find the number.
⇒
Opening parenthesis
⇒
subtracting both side by 4x
⇒
Dividing both side by 3
∴ x= 10.
Hence, subtituting the value x to find four consecutive even integers.
First number is 10
Second consecutive number will be = 12
Third consecutive number will be = 14
Fourth consecutive number will be = 16
∴ Four consecutive even integers are 10,12,14,16.
Answer:
Step-by-step explanation:
1. Make sure all your denominators are the same, you can do this by multiplying them all by 3 or 7, 2 and 1/3 would become 2 7/21, 3/7 would become 9/21, 2 and 1/3, would become 2 and 7/21, and so on and so forth, leaving us with
2+
/ 2
* 1
2. Now, I would go and solve each side of the equation because we divide them, we can add 2 and
together to get 2
, because 7 + 9 = 16
2 / 2
* 1
3. We can do the same thing to the other side, by multiplying the two of them. I'm going to convert both of them to just fractions, 2 becomes
and 1
becomes
*
Now we can reduce them, and for our first fraction divide the top and bottom by 7, giving us and the second one by 3, which gives us
*
now we cross divide, where we replace the 7's with ones because they're right across from each other to get
and
, or just 10.
* 10 =
4. So now we can do a similar thing with the first half of our equation and convert it into a fraction and not a mixed number.
/
Now we multiply divide them, and the easiest way I learned how to do this was by keep the first fraction in its place, and flipping the denominator and numerator of the second, and multiplying them.
so *
which if we multiply both sides, you get
I'll save you some times and simplify it for you, the greatest common factor is 6 so we divide the top and bottom by 6 to get
First of all get a picture of what this looks like. Desmos is a pretty good graphing program, but anything that will do polar coordinates will work.
Here is the graph.
What you can see is that this graph is symmetrical around the x axis.
When you talk about symmetry, you can think of it as taking a mirror and putting it where you think there is symmetry. If you can't tell the difference between the image and the real thing, then you have symmetry.
In this case, the mirror will show symmetry along the x axis and no where else.
Here is the graph.
What you can see is that this graph is symmetrical around the x axis.
When you talk about symmetry, you can think of it as taking a mirror and putting it where you think there is symmetry. If you can't tell the difference between the image and the real thing, then you have symmetry.
In this case, the mirror will show symmetry along the x axis and no where else.