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Otrada [13]
4 years ago
10

URGENT!!! please help me with these two problems, and solve with statement-reasoning. Thank you!!!

Mathematics
1 answer:
iren [92.7K]4 years ago
8 0

Answer:

See below.

Step-by-step explanation:

By definition the median of the triangle bisects the  base of the isosceles triangle.

We need to prove that the 2 triangles formed by the median are congruent.

If the 2 triangles are ABD  and ACD  where BD is the median and < ABC is the angle from which BD is drawn.

BD = BD  ( the common side)

AD = DC ( because BD is the median).

AB =  AC ( because ABC is  an isosceles triangle).

So Triangles ABD and ACD are congruent by SSS.

Therefore  m < ABD = m <  CBD,  so BD is the bisector of < ABC.

To prove BD is also the altitude:

Triangles ABD and CBD are congruent as we have just proven. Therefore the

of measure of the base angle ABD = m < CBD . Also they are adjacent angles ( on the same line) so they add up to 180.

Therefore angles ABD and CBD are both  right angles and BD is the altitude of triangle ABC.

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-5/7 x 1/5<br><br> please help
Molodets [167]

-5/7 x 1/5

-5 x 1 = -5

7 x 5 = 35

-5/35 = -1/7

Happy to help :P

3 0
2 years ago
Group health insurance cost $8000, employer pays 80%, employee is paid biweekly. Find the amount deducted each pay for the group
Artyom0805 [142]
The answers is $1600, if this is a multiple choice question.
6 0
3 years ago
PLZ ! PLZ! PLZ!
Soloha48 [4]

Answer: Yes they could.

Step-by-step explanation:

The two pairs of sides given are proportional: 3/7 : 9/21

The two triangles have the side:side ratio, meaning they are similar

Because they are similar, their hypotenuses <em>could</em> lie along the same line, not guaranteed, but possible.

3 0
3 years ago
Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior. He records how long they slept (in hours), h
Vlad1618 [11]

Answer:

Explained below.

Step-by-step explanation:

The complete question is:

Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior. He records how long they slept (in hours), how many bananas they ate, gender, age (in years), and the specific breed of monkey.

(a) What are the individuals in this data set?

(b) Identify the variables that were recorded, and indicate whether each one is categorical or quantitative?

Solution:

(a)

The term "individuals", in statistics, implies or denotes the objects or people included in a statistical study.

In this case it is provided that Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior.

So, the "individuals" in this data set are the monkeys.

(b)

Categorical variables belong to a certain category or label values. Such as gender of a person, state from which a person is from, color of the marble and so on.

Quantitative variables are those variables that assume numerical values and represent some sort of measurement. Such as height, weight, annual income of the people working at the same place and so on.

In this case the variables are:

Number of bananas the monkeys ate - Quantitative variable

Gender - Categorical variable

Age (in years) -  Quantitative variable

Specific breed of monkey - Categorical variable

5 0
3 years ago
Given f (x) = -4x + 4, solve for x when f (x) = 0
Kazeer [188]

Answer:

x = 1

Step-by-step explanation:

Given:

  • f(x) = -4x + 4
  • f(x) = 0

We are asked to solve for x when the function is equal to zero.

<u>We should have</u>: 0 = -4x + 4

<u>Solve</u>

1. Subtract 4 from both sides

0 - 4 = -4x + 4 - 4

-4 = -4x

2. Divide both sides by -4

-4 ÷ -4 = -4x ÷ 4

1 = x

6 0
2 years ago
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