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BabaBlast [244]
3 years ago
5

Is there enough information to prove that the triangles are congruent?

Mathematics
2 answers:
Fynjy0 [20]3 years ago
5 0

Answer:

Yes, there is (ASA)

Step-by-step explanation:

Here, we have a side common to the two triangles. That makes S

Also, we can see an angle on both triangles, that makes A

Lastly, there is a right angle on both triangle

That makes another A

So we have the ASA to prove the congruence of the two triangles

Novosadov [1.4K]3 years ago
3 0

Answer:

Step-by-step explanation:

From the figure attached,

In the given right triangles ΔADB and ΔCDB,

              Statements                  Reasons

1). ∠BAD ≅ ∠BCD          1). Given

2). BD ≅ BD                   2). Reflexive property

3). ΔADB ≅ ΔCDB         3). By LA theorem of congruence of right triangles

Therefore, there is sufficient information to prove the ΔADB and ΔCDB congruent.

Leg-angle theorem (L-A) will be used to prove the right triangles congruent.

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The lifetime of a certain type of battery is normally distributed with mean value 15 hours and standard deviation 1 hour. There
KIM [24]

Answer:

If the lifetime of batteries in the packet is 40.83 hours or more then, it exceeds for 5% of all packages.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 15

Standard Deviation, σ = 1

Sample size = 4

Total lifetime of 4 batteries = 40 hours

We are given that the distribution of lifetime is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

Standard error due to sampling:

\displaystyle\frac{\sigma}{\sqrt{n}} = \frac{1}{\sqrt4} = 0.5

We have to find the value of x such that the probability is 0.05

P(X > x)  = 0.05

P( X > x) = P( z > \displaystyle\frac{x - 40}{0.5})=0.05  

= 1 -P( z \leq \displaystyle\frac{x - 40}{0.5})=0.05  

=P( z \leq \displaystyle\frac{x - 40}{0.5})=0.95  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 40}{0.5} = 1.64\\x = 40.825 \approx 40.83  

Hence, if the lifetime of batteries in the packet is 40.83 hours or more then, it exceeds for 5% of all packages.

8 0
3 years ago
Choose an equation of a line through the point (-4, -2) parallel to y=14x−3.
Likurg_2 [28]

Answer:

  1. I think im gonna pass this onee maybe
3 0
2 years ago
A set of 6 number cards contain the numbers 2, 5, 7, 8, 9, and 11. Which ratio is less than the ratio of odd number cards to tot
Tamiku [17]

Answer:

Ratio = 2:3

Step-by-step explanation:

Given

Cards = \{2,5,7,8,9,11\}

Required

Ratio of odd numbers to total

First, list out the odd numbers

Odd = \{5,7,9,11\}

The card has 4 odd numbers out of a total of 6.

So, the ratio is:

Ratio = Odd : Total

Ratio = 4:6

Divide by 2

Ratio = 2:3

<em>Hence, the ratio of odd to total is 2 to 3</em>

3 0
2 years ago
10 squared divided by 2c -b + 3a<br><br> A = 1/3<br> B= 9<br> C = 5
Svet_ta [14]

Answer:

50

Step-by-step explanation:

Figure out all variables

100/(2x5= 10)-9+(3x.33=1)

100/10-9+1

100/2

50

8 0
3 years ago
Plz help im stuck
nignag [31]
Here you go I think lol

5 0
2 years ago
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