3 years ago

Which statement regarding the interior and exterior angles of a triangle is true?

Mathematics

1 answer:

Elena L [17]3 years ago

3 0

Sum of opp. interior angles = ext. angle
sum of all interior angle in a trangle = 180 deg

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8-1(x-y)=-3x+5 in standard form

pogonyaev

Standard form is
ax+by=c
get all x and y on one side

first distribute
-1(x-y)=-x+y

now weh have
8-x+y=-3x+5
add 3x to both sides
8+2x+y=5
minus 8 from both sides
2x+y=-3

7 0

3 years ago

If $560 is invested at an interest rate of 9% per year and is compounded continuously, how much will the investment be worth in

koban [17]

Answer:

$878.25

Step-by-step explanation:

Continuously compounded interest is:

A = Pe^(rt)

where A is the final amount, P is the initial amount, r is the interest rate, and t is the number of compoundings.

Here, P = 560, r = 0.09, and t = 5.

A = 560e^(0.09×5)

A = 878.25

5 0

3 years ago

The weights of adobe bricks used for construction are normally distributed with a mean of 3 pounds and a standard deviation of 0

dedylja [7]

Answer: a) 0.8413, b) 0.9987.

Step-by-step explanation:

Since we have given that

Mean = 3 pounds

Standard deviation = 0.25 pounds

n = 28 bricks

So, (a) What is the probability that all the bricks in the sample exceed 2.75 pounds?

$P(X>2.75)\\\\=P(z>\dfrac{2.75-3}{0.25}\\\\=P(z>\dfrac{-0.25}{0.25})\\\\=P(z>-1)\\\\=0.8413$

b) What is the probability that the heaviest brick in the sample exceeds 3.75 pounds?

$P(X>3.75)\\\\=P(z>\dfrac{3.75-3}{0.25})\\\\=P(z>\dfrac{0.75}{0.25})\\\\=P(z>3)\\\\=0.9987$

Hence, a) 0.8413, b) 0.9987.

4 0

3 years ago

The first term of an arithmetic sequence is-3 and the 15 term is 53. What is the common difference of the sequence?

Annette [7]

$a_2=a_1+d$
$a_3=a_2+d=a_1+2d$
$a_4=a_3+d=a_1+3d$
...
$a_{15}=a_1+14d$

Since $a_1=-3$ and $a_{15}=53$ , the common difference $d$ is

$53=-3+14d\implies d=4$

6 0

3 years ago

Help me pls !!!!!?!!!!!!

Colt1911 [192]

Answer:

add all angles and subtract it with 180

8 0

3 years ago