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3 years ago

What additional information would you need to prove that ΔABC ≅ ΔDEF by ASA

1 answer:

3 0

What do you mean? You just need to prove there are two angles and the side between these two angles are the same in each triangle. One of the possible <span>combinations could be </span>∠BAC=∠FDE, ∠ABC= ∠DEF, and AB=DE.

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Charles works his part time job for 23 hours each week and makes $9.75 an hour. How much will he make in 4 weeks?

dedylja [7]

The answer is $897
You multiply $9.75*23=$224.25
Then you multiply $224.25 by 4=$897

4 0

3 years ago

Read 2 more answers

Help please 20 points available for correct answer otherwise I’ll report. Ven diagrams and probability and I’ll put on more poin

Diano4ka-milaya [45]

Answer:

3 should be put in the box in the upper left corner, since it represents the number of students who have neither a cat or a dog.

15 should be put in the box to the left, since that's how many students who have cats.

Same goes for the box to the right, in which 16 should be put, since 16 students have a dog.

And finally, how do we find the number in the middle?

Well, we know that in 25 students, 3 don't have either a cat or dog, so 22 have pets.

However, the total of the people who have dogs and the people who have cats is 15 + 16 = 31 students!

This is because some people have both cats and dogs.

It's pretty simple to find that number, since all you have to do is to subtract 22 from 31, which comes out to 9.

Hence, 9 should be put in the middle box, which represents students who have both a cat and a dog.

Finally, the probability of a student having both a cat and a dog can be found by 9/25 * 100% = 36%.

Step-by-step explanation:

Hope this helped!

3 0

3 years ago

4. Hydrocarbons in the cab of an automobile were measured during trips on the New Jersey Turnpike and trips through the Lincoln

pochemuha

Answer:

No these these result do not differ at 95% confidence level

Step-by-step explanation:

From the question we are told that

The first concentrations is $c _1= 30.0 \ g/m^3$

The second concentrations is $c _2 = 52.9 \ g/m^3$

The first sample size is $n_1 = 32$

The second sample size is $n_2 = 32$

The first standard deviation is $\sigma_1 = 30.0$

The first standard deviation is $\sigma_1 = 29.0$

The mean for Turnpike is $\= x _1 = \frac{c_1}{n} = \frac{31.4}{32} = 0.98125$

The mean for Tunnel is $\= x _2 = \frac{c_2}{n} = \frac{52.9}{32} = 1.6531$

The null hypothesis is $H_o : \mu _1 - \mu_2 = 0$

The alternative hypothesis is $H_a : \mu _1 - \mu_2 \ne 0$

Generally the test statistics is mathematically represented as

$t = \frac{\= x_1 - \= x_2}{ \sqrt{\frac{\sigma_1^2}{n_1} +\frac{\sigma_2^2}{n_2} }}$

$t = \frac{0.98125 - 1.6531}{ \sqrt{\frac{30^2}{32} +\frac{29^2}{32} }}$

$t = - 0.0899$

Generally the degree of freedom is mathematically represented as

$df = 32+ 32 - 2$

$df = 62$

The significance $\alpha$ is evaluated as

$\alpha = (C - 100 )\%$

=> $\alpha = (95 - 100 )\%$

=> $\alpha =0.05$

The critical value is evaluated as

$t_c = 2 * t_{0.05 , 62}$

From the student t- distribution table

$t_{0.05, 62} = 1.67$

$t_c = 2 * 1.67$

=> $t_c = 3.34$

given that

$t_c > t$ we fail to reject the null hypothesis so this mean that the result do not differ

6 0

3 years ago

Help meh ill mark plzzzzzzzzzzzzzzz

Alona [7]

Step-by-step explanation:

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8 0

3 years ago

Help answer correctly please !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

alisha [4.7K]

Answer: 23.4 ft^3

Step-by-step explanation: The perimeter of the base is 10.7, it is a square so the 4 sides of the base are equal. One side of the base is equal to 2.675 if the perimeter (4 sides) is equal to 10.7, so plug that and the height into the formula for the volume of a square pyramid to get 23.38, or 23.4 to the nearest tenth.

8 0

3 years ago

Read 2 more answers