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2 years ago

Find mPRT. P 649U 42° R s

Mathematics

1 answer:

Mkey [24]2 years ago

3 0

Answer: 296 degrees

Step-by-step explanation:

Arc PRT is just the entire circumference - arc PT.

Since the 64 degree angle is a central angle, arc PT measures 64 degrees.

So arc PRT = 360 degree - 64 degree = 296 degrees.

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AnnyKZ [126]

Answer:

2 days

Step-by-step explanation:

6 0

2 years ago

In the figure, ray OB bisects ∠TOY.

Levart [38]

Answer:

∠BOY = 38°

Explanation:

From the diagram, we can note that:

m∠TOY = m∠TOB + m∠BOY ...................> equation I

We are given that ray OB bisects the angle

Therefore:

m∠TOB = m∠BOY

Substitute in equation I:

m∠TOY = m∠TOB + m∠TOB = 2m∠TOB ............> equation II

We are given that:

m∠TOY = 8x-36

m∠TOB = x+24

Substitute with the givens in equation II and solve for x:

m∠TOY = 2m∠TOB

8x - 36 = 2(x + 24)

2(4x-18) = 2(x+24)

4x - 18 = x + 24

3x = 42

x = 14

This means that:

m∠TOB = x + 24 = 14 + 24 = 38°

Since

m∠TOB = m∠BOY

Therefore:

m∠BOY = 38°

Check:

m∠TOY = 8x - 36 = 8(14) - 36 = 76° which is twice m∠TOB

Hope this helps :)

8 0

3 years ago

If the coordinates for C' are (4.5, 4.5), which rule best represents the dilation that was applied to rectangle ABCD to create r

Dmitry_Shevchenko [17]

The dilation of rectangle ABCD to create rectangle A'B'C'D' would change the size of the rectangle

The dilation rule is: (x,y) -> k(x,y)

<h3>How to determine the rule of dilation?</h3>

The coordinates of C' is given as:

C' = (4.5, 4.5)

The coordinate of point C is not given.

So, I will apply a general rule

The general rule of dilation is:

(x,y) -> k(x,y)

Where k represents the scale factor.

Assume that k = 3, the the rule would be
(x,y) -> 3(x,y)