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BARSIC [14]
2 years ago
9

Can I get some help with question 12? I need to solve it while making a proof. I’ve asked at least 5 tutors for help and none of

them know what to do.

Mathematics
1 answer:
Oliga [24]2 years ago
3 0

Answer:

Step-by-step explanation:

Angle ABD is congruent to angle BDC by alternate interior angles of the parallel sides AB and DC.

Angle GEB is a right angle by given.

Angle DFC is a right angle by given.

The remaining angles for each triangle are congruent by sum of angles of a triangle is 180 degrees.

The two triangles are similar by  angle-angle-angle.

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Marta bought new fish for her home aquarium. She bought 3 guppies and 2 platies for a total of $13.95. Hank also bought guppies
ratelena [41]
Hank bought same guppies as Marta but 2more platies so
18.33-13.95=4.38
2platies=4.38
4.38/2=2.19
2.19 price of platies
13.95-4.34=9.61
9.61/3=3.20
3.29 price of guppies
3 0
3 years ago
Use the relationship between the sine and cosine functions to fill in each blank .
rjkz [21]

Answer:

sin(12°)

Step-by-step explanation:

Because sine and cosine are cofunctions, we can use the relation sin(90° - θ) = cosθ to show that cos(78°) = sin(90° - 78°) = sin(12°)

8 0
3 years ago
the cost of a ticket t to a concert with a 3% sales tax can be represented by the expression t+0.03t. simplify the expression. t
Leokris [45]
.03 time 72 then add 72 or just do 1.03 time 72
4 0
3 years ago
In a study of automobile collision insurance costs, a random sample of n = 35 repair costs of front-end damage caused by hitting
laiz [17]

Answer: The maximum error = $105.76.

Step-by-step explanation:

Formula to find the maximum error:

E= z^*\dfrac{\sigma}{\sqrt{n}}

, where n= sample size.

\sigma = Population standard deviation

z*= Critical value(two-tailed).

As per given  , we have

\overline{x}=1438

n= 35

\sigma=269

For 98% confidence  , the significance level = 1-0.98=0.02

By z-table , the critical value (two -tailed) =z^* = z_{\alpha/2}=z_{0.01}=2.326

Now , the maximum error = E= (2.326)\dfrac{269}{\sqrt{35}}

E= (2.326)\dfrac{269}{5.9160797831}

E= (2.326)\times45.4692989044=105.761589252\pprox105.76

Hence, With 98% confidence level , the maximum error = $105.76.

4 0
3 years ago
ack has a collection of 10 pairs of gloves in his wardrobe. Before a business trip, he has to pack his luggage, and he selects 8
Leto [7]

Answer:

\frac{{10 \choose 8}2^8}{{20 \choose 8}}\approx 0.091

Step-by-step explanation:

We can think of the 10 pairs of gloves as simply being gloves of different colors. Picking no matching pair is the same as picking no 2 gloves of the same color. To compute the probability of doing so, we can compute the number of ways to select 8 gloves from different colors, and divide that by the total number of ways to select 8 random gloves out of the 20 gloves.

To compute the number of ways in which we can select 8 gloves from different colors, we can think of the choosing procedure as follows:

1st step- We choose from which 8 colors are we going to pick gloves from. So we have to pick 8 out of 10 colors. This can be done in {10 \choose 8} ways.

2nd step - We now have to choose which glove are we going to pick from each of the chosen colors. Either the left one or the right one. For the first chosen color we have 2 choices, for the second chosen color we have 2 choices, for the third chosen color we have 2 choices, and so on. Therefore the number of ways in which we could choose gloves from the chosen colors is 2^8

And so the total number of ways in which we could choose 8 gloves from different colors is

{10 \choose 8 }2^8

Now, the total numer of ways in which we could choose 8 gloves out of the 20 gloves is simply {20 \choose 8}

So the probability of picking no mathing pair is

\frac{{10 \choose 8}2^8}{{20 \choose 8}}\approx 0.091

4 0
3 years ago
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