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leva [86]
3 years ago
9

Solve the following problems:

Mathematics
2 answers:
siniylev [52]3 years ago
8 0

Answer:

  DB = 13 cm

Step-by-step explanation:

ΔCAB ≅ ΔDBA by ASA, so CA ≅ DB by CPCTC.

CA = 13 cm, so DB = 13 cm.

Thepotemich [5.8K]3 years ago
6 0

Answer:

Step-by-step explanation:

Given : m(∠DAB) = m(∠CBA)

            m (CAB) = m(∠DBA)

            and CA = 13 cm

To find : measure of DB

In ΔCAB and ΔDAB

m(∠DAB) = m(∠CBA)     [given]

m(∠CAB) = m(∠DBA)     [given]

and AD is common in both the triangles.

Therefore, ΔCAB and ΔDAB will be congruent.    [By ASA property]

Therefore, CA = DB = 13 cm.

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The defect length of a corrosion defect in a pressurized steel pipe is normally distributed with mean value 30 mm and standard d
skelet666 [1.2K]

Answer:

z=-0.842

And if we solve for a we got

a=30 -0.842*7.8=23.432

So the value of height that separates the bottom 20% of data from the top 80% is 23.432.  

Step-by-step explanation:

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

X \sim N(30,7.8)  

Where \mu=30 and \sigma=7.8

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.80   (a)

P(X   (b)

As we can see on the figure attached the z value that satisfy the condition with 0.20 of the area on the left and 0.80 of the area on the right it's z=-0.842

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=-0.842

And if we solve for a we got

a=30 -0.842*7.8=23.432

So the value of height that separates the bottom 20% of data from the top 80% is 23.432.  

8 0
3 years ago
Last year Golden State Warriors won 80% of the first 15 matches. Then they won the rest of the three matches. What percent of al
MrMuchimi

Answer:

83.33%

Step-by-step explanation:

We first need to evaluate 80% of the first 15 matches in order to determine the number of watches out of 15 which they won.

80 % of 15 = 80/100 * 15 = 12

12 matches out of the first 15 were won.

Since the team won the rest of the 3 remaining matches, the total number of matches won becomes;

12 + 3 = 15

The team thus won 15 matches out of a total of 15 + 3 =18 matches .

The percent of all matches won is ;

15/18 * 100 = 83.33%

3 0
3 years ago
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Answer:

Download Photo math for help, it works really well and it shows the work.

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Guy decides to get in shape by running. The first day, he runs 1 mile in 12 minutes. Two months later he has decreased his mile
Tcecarenko [31]

Answer:

25  \div 100 \times 12 = 3

12 - 3 = 9

= 9minutes

8 0
3 years ago
This is the graph of f(x) = lxl.
irina [24]

Answer:

You are clicking on graphs.

However, you should sketch a graph of your function to see what the correct one looks like.

Create a table containing a few values of x and y

I chose x = -4, -2, 0, 2, 4.

Draw your axes

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Your graph should look like the one below.

Step-by-step explanation:

5 0
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