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Serggg [28]
3 years ago
10

Please help I have to do this in class!!!!

Mathematics
1 answer:
Aleksandr [31]3 years ago
8 0
Answer

33 1/2%

Explanation
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URGENT!!! please help me with these two problems, and solve with statement-reasoning. Thank you!!!
iren [92.7K]

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.

8 0
3 years ago
What is 8.51 x 104 in standard form?
notsponge [240]

I think the answer would be 85.1

8 0
3 years ago
Read 2 more answers
Explain in 1-2 paragraphs how design and problem solving are related. provide an example of a problem situation in which design
luda_lava [24]
When comparing and contrasting, it's always good to think about what your doing it with.
I'm not going to give to a full paragraph, but I'd love to help get one started for you!

First, let's look at the definition of both terms:

-Design: "<span>purpose, planning, or intention that exists or is thought to exist behind an action, fact, or material object" ~ Google

-Problem Solving: "Taking different approaches to finding a solution to the problem, or task at hand."

Now, let's compare. When designing things, you in a way, are problem solving to figure out how to create or build a solution to a problem. This can be through trial and error, or complex thinking.

I hope this helps, and good luck! :)</span>
8 0
3 years ago
Read 2 more answers
A bicycle lock has a four-digit code. The possible digits, 0 What is the probability that the lock code will begin with
nika2105 [10]

Answer:

0.1-0.6

Step-by-step explanation:

First let's find the number of the elements in the sample space, that is the total number of codes that can be produced.

The first digit is any of {0, 1, 2...,9}, that is 10 possibilities

the second digit is any of the remaining 9, after having picked one. 

and so on...

so in total there are 10*9*8*7 = 5040 codes.

a. What is the probability that the lock code will begin with 5?

Lets fix the first number as 5. Then there are 9 possibilities for the second digit, 8 for the third on and 7 for the last digit.

Thus, there are 1*9*8*7=504 codes which start with 5.

so 

P(first digit is five)=

b. What is the probability that the lock code will not contain the number 0? 

from the set {0, 1, 2...., } we exclude 0, and we are left with {1, 2, ...9}

from which we can form in total 9*8*7*6 codes which do not contain 0.

P(codes without 0)=n(codes without 0)/n(all codes)=(9*8*7*6)/(10*9*8*7)=6/10=0.6

Answer:

0.1 ; 0.6

8 0
3 years ago
Read 2 more answers
Suppose that the p-value was 0.0259. what is the appropriate conclusion to make if α = 0.05?
fiasKO [112]
<span>It is clear to see that 0.0259 is less than 0.05. A p-value that is less than the confidence level of alpha indicates that there is sufficient evidence from the data that the null hypothesis should be rejected in favor of an alternative hypothesis.</span>
6 0
3 years ago
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