Answer:
m∠BCE = 28° and m∠ECD = 134°
Step-by-step explanation:
* Lets explain how to solve the problem
- The figure has three angles: ∠BCE , ∠ECD , and ∠BCD
- m∠ECD is six less than five times m∠BCE
- That means when we multiply measure of angle BCE by five and
then subtract six from this product the answer will be the measure
of angle ECD
∴ m∠ECD = 5 m∠BCE - 6 ⇒ (1)
∵ m∠BCD = m∠BCE + m∠ECD
∵ m∠BCD = 162°
∴ m∠BCE + m∠ECD = 162 ⇒ (2)
- Substitute equation (1) in equation (2) to replace angle ECD by
angle BCE
∴ m∠BCE + (5 m∠BCE - 6) = 162
- Add the like terms
∴ 6 m∠BCE - 6 = 162
- Add 6 to both sides
∴ 6 m∠BCE = 168
- Divide both sides by 6
∴ m∠BCE = 28°
- Substitute the measure of angle BCE in equation (1) to find the
measure of angle ECD
∵ m∠ECD = 5 m∠BCE - 6
∵ m∠BCE = 28°
∴ m∠ECD = 5(28) - 6 = 140 - 6 = 134°
* m∠BCE = 28° and m∠ECD = 134°
Answer:
See below
Step-by-step explanation:
1..........................
Add –5; 2.7; 7 to both sides
- 18 -5 > -7 - 5 ⇒ 13 > -12
- 18 + 2.7 > - 7 + 2.7 ⇒ 20.7 > - 43
- 18 + 7 > -7 + 7 ⇒ 25 > 0
2..........................
Subtract 2; 12; -5 from both sides
- 5 - 2 > -3 -2 ⇒ 3 > - 5
- 5 - 12 > -3 - 12 ⇒ -7 > -15
- 5 -(-5) > -3 - (-5) ⇒ 10 > 2
3..........................
Multiply both sides by 3; −3; −1
<em>When multiplying both sides of inequality by positive number the sign stays as is, when multiplying both sides of inequality by negative number the sign reverses</em>
- -9 *3 < -6*3 ⇒ -27 < - 18
- -9*(-3) > -6*(-3) ⇒ 27 > 18
- -9*(-1) > -6*(-1) ⇒ 9 > 6
Answer:
a = 15
Step-by-step explanation:
6 + 9 = 15
a = 15
15 - 6 = 9
yes
Answer:
B) A random sample may represent the population <em>is your best answer.</em>
Step-by-step explanation:
Note that the answer choice says "may", which means that it doesn't <em>always</em> represent the population. Random samples means that they ask random people, and do not have a certain rule that they have to follow (such as recipients can only be a certain race, age, etc.) and that they can ask anybody they meet. This can give not only a higher chance of a general population's opinion, but also makes sure that there is not a high chance of obtaining misleading information.
For example, a random survey would not take place at a rally, in which most of the people would believe the same thing, and would answer fairly the same for the survey. Instead, a random survey may be taken at a busy intersection during the time when most people are out. You must note that though it has the best chance of getting a <em>more accurate</em> representation, it still isn't the most accurate. For the best accuracy, <em>everyone would have to answer the survey in which the survey question would affect</em>.
~
Answer:
A
Step-by-step explanation:
small dog eats 3/4 cup each day
large dog eats 1 cup each day
~after 1 week (x7)~
small dog = 5.25 cups
large dog = 7 cups
(7-5.25=1.75)
= therefore 1 and 3/4 cups
