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SVEN [57.7K]
3 years ago
15

Given that the measure of ∠x is 123°, and the measure of ∠y is 51°, find the measure of ∠z. °

Mathematics
1 answer:
Veronika [31]3 years ago
6 0

Answer:

The measure of angle z is 59°.

Step-by-step explanation:

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Find the slope using the following two points:<br> (2,-7) and (-1,6)
Advocard [28]

Answer:

13/-3

Step-by-step explanation:

Y2-Y1/X2-X1

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3 years ago
What is lim x→-3 sqrt x^2-8
vitfil [10]

If the  -8 is under the square root, then...

\displaystyle L = \lim_{x\to -3} \sqrt{x^2-8}\\\\L = \sqrt{(-3)^2-8}\\\\L = \sqrt{9-8}\\\\L = \sqrt{1}\\\\L = 1\\\\

OR

If the -8 is not under the square root, then...

\displaystyle L = \lim_{x\to -3} \sqrt{x^2}-8\\\\L = \sqrt{(-3)^2}-8\\\\L = \sqrt{9}-8\\\\L = 3-8\\\\L = -5

Either way, we replace x with -3 and simplify.

For more information, refer to the direct substitution rule for limits.

4 0
1 year ago
If RSTU is a rhombus, find the measure of angle RUT.
Schach [20]

<u>Finding x:</u>

We know that the diagonals of a rhombus bisect its angles

So, since US is a diagonal of the given rhombus:

∠RUS = ∠TUS

10x - 23 = 3x + 19                      [replacing the given values of the angles]

7x - 23 = 19                                [subtracting 3x from both sides]

7x = 42                                       [adding 23 on both sides]

x = 6                                           [dividing both sides by 7]

<u>Finding ∠RUT:</u>

We can see that:

∠RUT = ∠RUS + ∠TUS

<em>Since we are given the values of ∠RUS and ∠TUS:</em>

∠RUT = (10x - 23) + (3x + 19)

∠RUT = 13x - 4

<em>We know that x = 6:</em>

∠RUT = 13(6)-  4

∠RUT = 74°

8 0
3 years ago
Fred and Victoria provide the following proofs for vertical angles to be equal:
mart [117]
Answer should be <span>Both Fred's and Victoria's proofs are correct.</span>
8 0
3 years ago
Read 2 more answers
27 + 71 = 98 + 1 - ______. What should come in the box to make the above number sentence true?
Andreas93 [3]

Answer:

A

Step-by-step explanation:

Read the article and review the phases of mitosis.

Mitosis

What are the four phases of mitosis?

prophase

metaphase

anaphase

telophase

cytokinesis

8 0
2 years ago
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