What is the area of a parallelogram that has a base of 12 3/4 in. and a height of 2 1/2 in.?

Part B: Angie claims there is an alternative way to prove these two triangles congruent using ASA Explain why.

Ludmilka [50]

Answer: A would be angle "O" sine both triangle PNO and LMO share the same angle

S would be ON = LM ( as shown)

A would be angle "L" and angle "N" or angle "P" and angle "M" ( the side is opposite of each other)

( sorry, I'm not good at explaining

Step-by-step explanation:

6 0

3 years ago

Greta must volunteer 225 hours for a community service project. She plans to volunteer for 6 hours

klemol [59]

Answer:

A. "an arithmetic sequence with a common difference (d) of -6."

B. 33 hours

C. $a_n=a_1+(n-1)d$

D. See below

Step-by-step explanation:

A.

Since the sequence lessens by 6, this is an arithmetic sequence with a common difference (d) of -6.

B.

The formula for term of arithmetic sequence is:

$a_n=a_1+d(n-1)$

Wher a_1 is the first term and d is the common difference. Since we want to find after 33 weeks, we plug in 33 into n:

$a_{33}=225 + (-6)(33-1)\\a_{33}=33$

She will have left 33 hours

C.

We will use the arithmetic sequence term formula written above, that is:

$a_n=a_1+(n-1)d$

THis gives us the amount of hours left after a certain number of weeks.

D.

We plug in 40 into n and find the hours left:

$a_{40}=225+(40-1)(-6)\\a_{40}=225-234\\a_{40}=-9$

THis term is NEGATIVE, which means that Greta will not have to work 40 weeks to fulfill the target of 225 hours. She needs to work less.

6 0

3 years ago

Andrew bought a house worth 200,000 dollars the house value appreciates 1% per year which of the following would help you find t

Aleks [24]

Answer: Option 1:

y=200,000(1.01)exponent 20

Step-by-step explanation:

The house value appreciates 1% per year. It means that the rate at which it is appreciating is exponential. We would apply the formula for exponential growth which is expressed as

y = b(1 + r)^ t

Where

y represents the value of the house after t years.

t represents the number of years.

b represents the initial value of the house.

r represents rate of growth.

From the information given,

b = 200,000 dollars

r = 1% = 1/100 = 0.01

t = 20 years

Therefore,

y = 200000(1 + 0.01)^20

y = 200000(1.01)^20

7 0

3 years ago

Virginia tossed a coin and it landed heads up three times in a row. What is the probability that this same coin will land heads

Savatey [412]

0 times is the answer

6 0

3 years ago

HELP WITH MATHH!!!!!!!!!!

riadik2000 [5.3K]

Answer:

Area of parallelogram : bh.

3×5=15

Step-by-step explanation:

not that hard and no matter how you turn a shape, the dotted line is always the height/altitude.

7 0

3 years ago