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andreev551 [17]
2 years ago
8

A company sells furniture for home assembly. Their largest bookcase has shelves that should

Mathematics
1 answer:
Aloiza [94]2 years ago
3 0
Fjfdyhhhjtj uncivil hhhfjjrndjr
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Given QT = SR, QV = SU, and the diagram, prove that triangles QUT and SVR are congruent. Write a paragraph proof.
QveST [7]

Answer:

Triangles QUT and SVR are congruent because the defining two sides and an included angle of triangles QUT and SVR are equal

Step-by-step explanation:

Here we have QT = SR and

QV = SU

Therefore,

QT = √(UT² + QU²)........(1)

RS = √(VS² + RV²)..........(2)

Since QS = QU + SU = QV + VS ∴ QU = VS

Therefore, since SR = QT and QU = VS, then from (1) and (2), we have UT = RV

Hence since we know all sides of the triangles QUT and SVR are equal and we know that the angle in between two congruent sides of the the triangles QUT and SVR that is the angle in between sides QU and UT for triangle QUT and the angle in between the sides RV and VS in triangle SVR are both equal to 90°, therefore triangles QUT and SVR are congruent.

5 0
3 years ago
If sin tetha=root3/2, what is cos tetha?​
Minchanka [31]

Answer:

The value of cos Ф is ± \frac{1}{2}

Step-by-step explanation:

There are important rules for sin Ф and cos Ф

  • sin²Ф + cos²Ф = 1
  • sin²Ф = 1 - cos²Ф
  • cos²Ф = 1 - sin²Ф

∵ sin Ф = \frac{\sqrt{3}}{2}

∴ sin²Ф = (\frac{\sqrt{3}}{2})^{2}

∴ sin²Ф = \frac{3}{4}

→ By using the third rule above

∵ cos²Ф = 1 - sin²Ф

∴ cos²Ф = 1 - \frac{3}{4}

∴ cos²Ф = \frac{1}{4}

→ Take square root for both sides

∴ cos Ф = ± \frac{1}{2}

∴ The value of cos Ф is ± \frac{1}{2}

6 0
3 years ago
The 70th term of the arithmetic sequence the 70th term of the arithmetic sequence 18,34,50,...
Sedbober [7]

Answer:1122

Step-by-step explanation:

Hve to work out the general equation first by calculating the common difference-16.

3 0
2 years ago
What is the CORRECT answer to this question???
MrMuchimi
Hello!
The most logical equation would be b)
Hope it helps, have a nice day!

4 0
3 years ago
Read 2 more answers
Question 2
Oxana [17]

Answer:

4.12

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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