solution: option B and C both are correct i.e., option C is correct i.e., ∠E ≅∠H and ∠I ≅ ∠F .
option C is correct i.e., ∠E ≅∠H.
explanation:
it is given that ratio of corresponding sides of ΔFGE and ΔIJH are equal
i.e.,
and if ∠E ≅ ∠H
Then ΔFGE and ΔIJH are similar by SAS (side angle side) similarity theorem.
so option C is correct i.e., ∠E ≅ ∠H.
and option B is also correct
explanation:
since it is given that
And if ∠I ≅ ∠F
then ΔFGE and ΔIJH are similar by SAS (side angle side) similarity theorem.
Answer:
A: 65° B: 65° C: 125° D: 125°
Step-by-step explanation:
It is an equilateral(shown by the two dashes) and all angles in a triangle add up to 180°.
180-50 divided by 2 to give you A and B angles.
Then angled on a straight line add up to 180° so if you take angle A away from 180° you will get the answer to angle C.
The same for angle D.
All you have to do is plug in the given x values. your first equations would read:
f(-3) = 2^(-3)
f(-2) = 2^(-2)
f(-1) = 2^(-1)
these can be solved by moving decimal points or entering them into a calculator. regardless of the method, your answers are:
f(-3) = 0.002
f(-2) = 0.02
f(-1) = 0.2
so just repeat that process to fill in the rest of your table. to graph it, you'll use them as normal (x, y) points:
(-3, 0.002)
(-2, 0.02)
(-1, 0.2)
the graph might be a little difficult, working with such small values, but precision isn't totally important--0.002 will be super close to 0, 0.02 will be slightly further, 0.2 will be slightly further. the smaller values don't matter as much graphically and you'll recognize the graph of a growing exponential as you graph more of the table.
Answer:
7
Step-by-step explanation:
x + 3 : x + 8 : : 2 : 3
(x + 3) \times 3 = (x + 8) \times 2 \\ 3x + 9 = 2x + 16 \\ 3x - 2x = 16 - 9 \\ x = 7 \\ x + 3 = 7 + 3 = 10 \\ x + 8 = 7 + 8 = 15 \\
10 : 15
2 : 3
Answer:
X and Y are independent
Step-by-step explanation:
attached below is the detailed solution
X and Y are independent
f(x,y) = fx(x) fy (y) = 1
