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2 years ago

What is the value of x?

Mathematics

1 answer:

kipiarov [429]2 years ago

7 0

First of all, let’s find CB.
sin(45°) = CB : 6sqrt(2)
CB = 6
Now we can find CD
cos(60°) = x : 6
x = 3

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ale4655 [162]

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40% of 30 is 12.

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2 years ago

riangle XYZ is translated 4 units up and 3 units left to yield ΔX'Y'Z'. What is the distance between any two corresponding point

tester [92]

Answer:

5 units

Step-by-step explanation:

According to the given statement Δ XYZ is translated 4 units up and 3 units left to yield ΔX'Y'Z' which means that each point in ΔXYZ is moved 4 units up and moved 3 units left.

To find the distance of each corresponding point we will use the Pythagorean theorem which states that the square of the length of the Pythagorean of a right triangle is equal to the sum of the squares of the length of other legs

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3 years ago

Basing your answer on the appearance of the figures below, identify whether the mathematical expression is true or false.

KatRina [158]

Answer:

The mathematical expression is false

Step-by-step explanation:

* Lets use the figure to answer the question

- There are four triangles in the figure

- Δ ROB and Δ PTA appear congruent because:

# The side RO appears equal the side PT

∴ RO ≅ PT

# The side OB appears equal the side TA

∴ OB ≅ TA

# The side RB appears equal the side PA

∴ RB ≅ PA ⇒ SSS

∴ Δ ROB ≅ Δ PTA

- Δ DEF and Δ YXW appear congruent because:

# The side DE appears equal the side YX

∴ DE ≅ YX

# The side EF appears equal the side XW

∴ EF ≅ XW

# The side DF appears equal the side YW

∴ DF ≅ YW

∴ Δ DEF ≅ Δ YXW ⇒ SSS

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∵ Δ ROB not appear congruent to Δ DEF

∴ Δ ROB ≠ Δ DEF

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