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Kitty [74]
3 years ago
14

Fine the missing side lengths for x and y

Mathematics
2 answers:
goldfiish [28.3K]3 years ago
8 0

Answer:

Letter A is the answer pls

evablogger [386]3 years ago
8 0

9514 1404 393

Answer:

  x=\dfrac{4\sqrt{3}}{3};\ y=\dfrac{8\sqrt{3}}{3}

Step-by-step explanation:

The side ratios of a 30°-60°-90° triangle are ...

  1 : √3 : 2

In your triangle, they are ...

  x : 4 : y

In order to get these values, we need to multiply the reduced ratio by 4/√3 = (4√3)/3. Then we have ...

  x : 4 : y = (4√3)/3 : 4 : (8√3)/3

and we can see that ...

  • x = (4√3)/3
  • y = (8√3)/3

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Given:• PQRS is a rectangle.• mZ1 = 50°Р21SRWhat is mZ2?130°85°70°65°
Over [174]

To answer this question, we need to recall that: "the diagonals of a rectangle bisect each other"

Thus, if we assign the point of intersection of the two diagonals in the rectangle as point O, we can say that the triangle OQR is an "isosceles triangle". Note that this is because the lengths OR and OQ are equal since we know that: "the diagonals of a rectangle bisect each other". See the below diagram for clarity.

Now, we have to recall that:

- the base angles of any isosceles triangle are equal. This is a fact, and this means that the angles

- also the sum of all the angles in any triangle is 180 degrees

Now, considering the isosceles triangle OQR, we have that:

\angle OQR+\angle ORQ+\angle ROQ=180^o

Now, since the figure already shows that angle m\angle2+\angle ORQ+50^o=180^oNow, since we have established that the base angles m\angle2+m\angle2+50^o=180^owe can now solve the above equation for m<2 as follows:

\begin{gathered} m\angle2+m\angle2+50^o=180^o \\ \Rightarrow2m\angle2+50^o=180^o \\ \Rightarrow2m\angle2=180^o-50^o \\ \Rightarrow2m\angle2=130^o \\ \Rightarrow m\angle2=\frac{130^o}{2}=65^o \end{gathered}

Therefore, the correct answer is: option D

7 0
1 year ago
What is the distance between the following points
saw5 [17]

Answer:

5

Step-by-step explanation:

Use pythagorean theorem. The rise is 3 units and the run is 4 unites. Now the length of the line we are trying to find is a hypothenuse(the side opposite of the right angle

6 0
3 years ago
Miranda painted the 4 walls of her rectangular room. Her room measures
4vir4ik [10]

Answer: I think it is 1572 sq feet

Step-by-step explanation:

Lxwxh

14x13x9=1638

Window is 4x4.5=18

Door 1 is8x3=24

Door 2 8x3=24

Since the doors and window are not included in what was painted you need to subtract those totals from the room.

So, 1638-18=1620

1620-48(two doors)=1572 sq feet

6 0
3 years ago
If it took 2 hours to clean 5 houses, how many houses could be cleaned in 6 hours? ........fast
Helen [10]

Answer:

3

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Erin water bottle holds 2,400 milliliters of water. Johns water bottle holds 2.6 of water. Which holds more
Karo-lina-s [1.5K]

1 liter = 1000 milliliters.

Convert Johns water bottle to milliliters by using the conversion rate.

Johns water bottle holds 2.6 liters x 1000 milliliters/liter = 2,600 milliliters

2600 is greater than 2400 so Johns water bottle holds more.

8 0
3 years ago
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