Step-by-step explanation:
hopefully the picture is clear and understandable.
:)
The sum of all the even integers between 99 and 301 is 20200
To find the sum of even integers between 99 and 301, we will use the arithmetic progressions(AP). The even numbers can be considered as an AP with common difference 2.
In this case, the first even integer will be 100 and the last even integer will be 300.
nth term of the AP = first term + (n-1) x common difference
⇒ 300 = 100 + (n-1) x 2
Therefore, n = (200 + 2 )/2 = 101
That is, there are 101 even integers between 99 and 301.
Sum of the 'n' terms in an AP = n/2 ( first term + last term)
= 101/2 (300+100)
= 20200
Thus sum of all the even integers between 99 and 301 = 20200
Learn more about arithmetic progressions at brainly.com/question/24592110
#SPJ4
Angle 4 and Angle 2 are vertical angles, meaning that they are congruent. Therefore, the measure of angle 2 is 127 degrees.
Angle 4 and Angle 3 are a linear pair, meaning that they are supplementary and add up to 180 degrees. Therefore, the measure of angle 3 is 53 degrees.
Angle 3 and Angle 1 are vertical angles, meaning that they are congruent. Therefore, the measure of angle 1 is 53 degrees.
Hope this helps!
Answer: 13
Step-by-step explanation:
Equilateral triangle means that all sides are equal
Soo
3x + 1 must be equal to 5x - 9
3x + 1 = 5x - 9
-2x = -10
x = 5
Substitute x as 5 into either side value
3(5) + 1 = 15 + 1 = 16
So, all sides equal 16
Which means that y + 3 also equals 16
y + 3 = 16
y = 13
