MATHEMATICS HIGH SCHOOL

GIVEN:MN is an angle bisector of ∠JMK
Prove:m∠JMN=1/2m∠JMK
GIVEN:MN is an angle bisector of ∠JMK Prove:m∠JMN=1/2m∠JMK - 1

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

                  Statements                                           Reasons

1. MN is an angle bisector of ∠JMK        1. Given

2. ∠JMN ≅ ∠NMK                                    2. Definition of an angle bisector

3. m∠JMN ≅ m∠NMK                              3. Definition of congruent angles

4. m∠JMN + m∠NMK = m∠JMK              4. Angle addition postulate

5. m∠JMN + m∠JMN = m∠JMK              5. Substitution property

6. 2(m∠JMN) = m∠JMK                           6. Addition property of equality

7. m∠JMN = (1)/(2)(m\angle JMK)                         7. Division property of equality

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15-1.5/d in word phrases

Answers

fifteen minus the quotient of one point 5 divided by a number
15 subtract the quotient of 1.5 and d.

Triangle XYZ has been dilated to form triangle LMN. What is the least amount of information needed to prove the two triangles are similar?a. Two pairs of corresponding angles and one pair of corresponding sides
b. Two pairs of corresponding sides and one pair of corresponding angles
c. Two pairs of corresponding angles
d. Two pairs of corresponding sides

Answers

C. Two pairs of corresponding angles

Answer:

C. Two pairs of corresponding angles

A researcher wished to gauge public opinion on gun control. He randomly selected 1000 people from amongst all registered voters and asked them the following question: "Do you believe that gun control laws which restrict the ability of Americans to protect their families should be eliminated?". Identify the abuse of statistics.A) nonresponse

B) loaded question

C) self interest

D) reported results

Answers

Answer:

B) Loaded question  is the answer. A loaded question is a complex question that contains unjustified assumptions.

Step-by-step explanation:

The abuse of statistics refers to the misuse of numerical data sometimes due to error or sometimes intentionally to manipulate people's opinions. This abuse can cause a biased opinion if the person is not careful to notice the error or manipulation.

Here, we can see that the researcher has clearly stated, that gun control law prevents the ability of families to protect themselves. This can give biased opinions. Rather it should have been simply asked if the people wanted to eliminate such law.
The answer is
B. Loaded question

Kaylee has already prepared 3 kilograms of dough and will continue preparing 8 kilograms of dough every hour. How many hours did Kaylee work if she prepared 35 kilograms of dough?

Answers

Answer:

4 hours

Step-by-step explanation:

In order to solve this problem, you need to write down the equation. The equation is 3 +8x=35. In this equation, x represents the number of hours. The coefficient is 8, and that represents the number of kilograms per hour. You subtract 3 from both sides to get 32. Next, we solve for x. Divide both sides by 8 to get x=4 hours.

The amounts of paper waste generated in a region during two years were 41,300,000 tons and 50,500,000 tons. What was the total paper waste generated over these two years in the region, expressed in scientific notation? 91.8 ⋅ 107 tons

Answers

That would be 9.18x10^5

Answer:

9.18 ⋅ 10^7 tons

Step-by-step explanation:

a boat cost 12,050 and decreases in value by 12% per year. How much will the boat be worth after 9 years

Answers

Given:
Cost = 12,050
depreciation rate = 12%

year   beginning value      dep.rate    depreciation  ending value
1        12,050.00               12%         1,446.00    10,604.00
2        10,604.00               12%         1,272.48      9,331.52
3          9,331.52               12%         1,119.78      8,211.74
4          8,211.74               12%            985.41      7,226.33
5          7,226.33               12%            867.16      6,359.17
6          6,359.17               12%            763.10      5,596.07
7          5,596.07               12%            671.53      4,924.54
8          4,924.54               12%            590.94      4,333.60
9          4,333.60               12%            520.03      3,813.56

The boat will be worth $3,813.56 after 9 years.

Depreciation = beginning cost x depreciation rate
Ending cost = beginning cost - depreciation

Depreciation is the wear and tear of an object that decreases its value.
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