Answer:
8
Step-by-step explanation:
Since this is a rectangle, the opposite sides are congruent.
So the lengths of DG and EF are equal
3x + 5 = 29
3x = 29 - 5
3x = 24
x = 24/3
x = 8
Answer:
18.
∠2 = 40
∠3 = 140
∠4 =140
19.
∠1 = 134
∠2 = 46
∠3 = 134
∠4 = 46
Step-by-step explanation:
18. Using vertical angle theorem, 1 is equal to 2 and 3 is equal to 4. Therefore 2 is equal to 40 degrees. Then since 2 and 3 are supplementary adjacent angles or a linear pair, they equal 180 when combined. 180-40 equals 140. 3 and 4 are also vertical angles so 3 = 4 and they are both 140.
19. Angles 1 & 3 and 2 & 4 are vertical angles because they are directly across from each other and share the same bisectors. You can use what you know about special angle pairs to find the measure of each angle because since 1 & 3 are vertical angles and 2 & 4 are also vertical angles, 1 is equal to 3 and 2 is equal to 4. So, since the angle formed at the right is angle 2, we can confirm that angle 4 is equal to it and therefore angles 2 and 4 are 46 degrees. Then since angles 1 & 2 and 3 & 4 are linear pairs, we can say that angle 1 + angle 2 is equal to 180 and the same for angles 3 & 4. So subtract 180 - 46 and you get 134. Therefore angles 1 and 3 are equal to 134 degrees.
Answer:
X= -2
(I think)
Step-by-step explanation:
I hope this helped
Answer:
B- Erica deposited $75 into her savings account. She withdrew $75 the following week.
Answer:
Probability that an ear of corn selected at random will contain no borers is 0.4966.
Step-by-step explanation:
We are given that the distribution of the number of borers per ear approximated the Poisson distribution. The farmer counted 3,500 borers in the 5,000 ears.
Let X = <u><em>Number of borers per ear</em></u>
The probability distribution of the Poisson distribution is given by;
where,
= parameter of this distribution and in our question it is proportion of bores in the total ears =
= 0.7
SO, X ~ Poisson(
= 0.7)
Now, probability that an ear of corn selected at random will contain no borers is given by = P(X = 0)
P(X = 0) =
=
= <u>0.4966</u>
Hence, the required probability is 0.4966.