Answer:
c. m∠1 + m∠6 = m∠4 + m∠6
Step-by-step explanation:
Given: The lines l and m are parallel lines.
The parallel lines cut two transverse lines. Here we can use the properties of transverse and find the incorrect statements.
a. m∠1 + m∠2 = m∠3 + m∠4
Here m∠1 and m∠2 are supplementary angles add upto 180 degrees.
m∠3 and m∠4 are supplementary angles add upto 180 degrees.
Therefore, the statement is true.
b. m∠1 + m∠5 = m∠3 + m∠4
m∠1 + m∠5 = 180 same side of the adjacent angles.
m∠3 + m∠4 = 180, supplementary angles add upto 180 degrees.
Therefore, the statement is true.
Now let's check c.
m∠1 + m∠6 = m∠4 + m∠6
We can cancel out m∠6, we get
m∠1 = m∠4 which is not true
Now let's check d.
m∠3 + m∠4 = m∠7 + m∠4
We can cancel out m∠4, we get
m∠3 = m∠7, alternative interior angles are equal.
It is true.
Therefore, answer is c. m∠1 + m∠6 = m∠4 + m∠6
Answer:
$ 31050
Step-by-step explanation:
<em>Step 1 : Write the formula for calculating simple interest.</em>
Simple Interest = <u>P x R x T </u>
100
P: Principal Amount-The loan taken (30,000)
R: Interest rate at which the loan is give (6)
T: Time period of the loan in years-there are 12 months in 1 year. There are 7 months from May till June (7/12)
<em>Step 2: Substitute values in the formula</em>
Simple Interest = <u>30,000 x 6 x 7/12</u>
100
Simple Interest = $1050
<em>Step 3: Calculate the amount due at maturity</em>
At the maturity or the end of the time period given, the original or principal amount of the loan has to be repaid along with the simple interest.
Amount at maturity = Principal Amount + Simple Interet
Amount at maturity = 30,000 + 1050
Amount at maturity = $31050
!!
Answer:
96.7 maybe or 6.75 or 5.67 or even 56.77
Step-by-step explanation:
EZ
Answer:
56 chewable tablets
280mL liquid Benadryl
Step-by-step explanation:
For the first part:
First we need to find out how many tablets of 12.5mg would we need per dose.
1 dose is 25 mg and the tablets are in 12.5 mg form.
That would mean you would need 2 tablets per dose.
Next you need to calculate how many times a day it needs to be taken. A day has 24 hours and it needs to be taken every 6 hours. Just divide 24 hours by 6 hours. So that would mean that it needs to be taken 4 times a day.
Next we need to see how many times a week it should be taken and you can get that by multiplying the number of times a day by the number of days a week.
4 x 7 = 28 times
Lastly, you multiply the number of times a week by the number of tablets per dose.
28 times a week x 2 tablets = 56 tablets.
For the second part:
12.5 mg/5mL
The needed dose is 25 mg so we need to find how many mL is needed for 25 mg. 12.5mg is only have of 25 mg we need to double it to attain the correct dosage.
x 
= 
This means that for every 25 mg, you will need to give 10mL.
Again we do the same procedure as the first to decide how much liquid Benadryl you need to give in a week. We know that based on the previous that we need to administer this 28 times a week, so just multiply the number of mL per dose by the number of times per week.
10mL x 28 = 280mL
