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Simora [160]
3 years ago
11

Vertices (15,0) and (-15,0), conjugate axis of length 4 units

Mathematics
1 answer:
algol [13]3 years ago
8 0

Answer:

Step-by-step explanation:

16 units

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Two polygons are similar. What is the correct similarity statement?<br>​
joja [24]

Answer:

option 3

Step-by-step explanation:

Given the 2 triangles are similar then corresponding angles are congruent.

Calculate the missing angles in both triangles.

∠ A = 180° - (90 + 35)° = 180° - 125° = 55°

∠ L = 180° - (90 + 55)° = 180° - 145° = 35°

Consider ACB ~ MNL , comparing corresponding angles

∠ A= 55° and ∠ M = 90° ← not congruent

Consider ABC ~ LMN, comparing corresponding angles

∠ A = 55° and ∠ L = 35° ← not congruent

Consider CBA ~ LMN , comparing corresponding angles

∠ C = 35° and ∠ L = 35° ← congruent

∠ B = 90° and ∠ M = 90° ← congruent

∠ A = 55° and ∠ N = 55° ← congruent

The correct similarity statement is

CBA ~ LMN

6 0
3 years ago
Read 2 more answers
Write in standard form
Keith_Richards [23]

Answer:

2.006

Step-by-step explanation:

2*1 = 2.  To this you are adding 6 thousandths, or 0.006.  Together, you have 2.006 (standard form).

6 0
3 years ago
A boat has a speed of 15 mph in still water. It travels downstream from Greentown to Glenavon in g hours. It then goes back upst
Lerok [7]

Step-by-step explanation:

We want to find two things-- the speed of the boat in still water and the speed of the current.  Each of these things will be represented by a different variable:

B = speed of the boat in still water  

C = speed of the current

Since we have two variables, we will need to find a system of two equations to solve.

How do we find the two equations we need?  

Rate problems are based on the relationship Distance = (Rate)(Time).


Fill in the chart with your data (chart attached)

The resulting speed of the boat (traveling upstream) is B-C miles per hour.  On the other hand, if the boat is traveling downstream, the current will be pushing the boat faster, and the boat's speed will increase by C miles per hour.  The resulting speed of the boat (traveling downstream) is B+C miles per hour.  Put this info in the second column in the chart.  Now plug it into a formula! <u>Distance=(Rate)(Time) </u>Now solve using the systems of equations!

6 0
2 years ago
7000 litres of water is pumped out of a tank in 42 minutes. How many litres could be pumped out in one hour at the same rate?
viktelen [127]

Answer:

8600 litre×235 will be there in the tanks

7 0
3 years ago
Please solve and graph each inequality x-7&lt;-12
Keith_Richards [23]

For this case we must resolve the following inequality:

x-7

Adding 7 to both sides of the inequality:

x

Different signs are subtracted and the major sign is placed.

x

Thus, the solution is given by all the values of "x" less than -5.

The solution set is: (-∞, - 5)

Answer:

x

See attached image

3 0
3 years ago
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