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CaHeK987 [17]
3 years ago
15

Can somebody help me please

Mathematics
1 answer:
AnnyKZ [126]3 years ago
5 0

It's an isosceles triangle so angles A and BCA are congruent.  

Angle BCA is the supplement of BCD, so 180-109 = 71.

Angle A is congruent to that, so A=71 degrees.

Let's see if we can get that in the format they want, kind of as a proof.

1.  ∠BCD=109° Reason: Given

2. AB ≅ BC      Reason: Given

3. ∠BCA = 71°  Reason: Linear pairs are supplementary

4. ΔABC is isosceles.   Reason: Definition of isosceles

5. ∠A ≅ ∠BCA   Reason: Isoceles triangle theorem

6. ∠A = 71°         Reason: Def congruent

Answer: 71 degrees

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Find a − b when a = −7 and b = 11.
Mariana [72]

Answer:

-18

Explanation:

a - b

a = -7

b = 11

Insert -7 for 'a' and 11 for 'b'

-7 - 11

= -18

3 0
3 years ago
The length of a rectangle is five times its width. If the perimeter is at most 96 centimeters, what is the greatest possible val
Dvinal [7]

Let width be W


Then length = 5W

P=2L+2W

P< 96cm

Then the Perimeter  of the rectangle is equal to

(2L+2W)< 96

2*(5W)+2W)≤96


Therefore, 2w+2⋅(5w)≤96


should be your answer


8 0
3 years ago
If X is a normally distributed random variable with mean .30 and standard deviation .06 : (draw appropriate diagrams) a) Find P(
Ierofanga [76]

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0.34  x 0.38

=0.1292

Step-by-step explanation:

Hopefully this helps, if not HMU and I will try my best to get you a better answer! :)

Good luck! <3

7 0
3 years ago
find the margin of error to use for this sample mean sushi based on a sample of 35 people he average out of pieces of sushi a pe
NNADVOKAT [17]

Answer:

{13.7756,18.2244}

Step-by-step explanation:

Given the sample size, the margin of error can be calculated with the formula M=Z*\frac{\sigma}{\sqrt{n}} where Z is the critical value for the desired confidence level, σ is the population standard deviation, and n is the sample size. Therefore, our margin of error for a 90% confidence level is:

M=Z*\frac{\sigma}{\sqrt{n}}=1.645*(\frac{8}{\sqrt{35}})=2.2244

The formula for a confidence interval is CI=\bar{x}+M where x-bar is the sample mean. Therefore, the 90% confidence interval for the mean amount of sushi pieces a person can eat is:

CI=\bar{x}\pm[M]=16\pm2.2244={13.7756,18.2244}

Therefore, we are 90% confident that the true mean amount of sushi pieces a person can eat is contained within the interval {13.7756,18.2244}

7 0
3 years ago
How much would it cost to buy a piece of candy for 50 cents plus tax
gtnhenbr [62]

Answer:

it depends on which state your in or in your even in the us usually it is either 6% or 4% some times more or less % so im going to do both

50*0.06=53

50*0.04=52

Hope This Helps!!!

5 0
2 years ago
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