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dalvyx [7]
3 years ago
8

Given that the measure of ∠x is 60°, and the measure of ∠y is 110°, find the measure of ∠z.

Mathematics
1 answer:
Nitella [24]3 years ago
6 0

Answer:

<h2>∠z = 10°</h2>

Step-by-step explanation:

A triangle is always 180 degrees.

If ∠x is 60°

and ∠y is 110°,

110 + 60 = 170

∠z = 10 degrees

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Hawaii’s Mauna Kea measures 9.754 kilometers from its base to its peak. Part of Mauna Kea lies 5.549 kilometers below the ocean.
il63 [147K]

Answer:

A 4.205Km

Step-by-step explanation:

If you subtract 9.754 - 5.549 you get  4.205.

5 0
3 years ago
Please help and answer the question properly.
RUDIKE [14]

Answer:

x = 15.65 and y = 5√2

Step-by-step explanation:

To get x and y we will use the Pythagoras theorem as shown

hyp^2 = adj^2 + opp^2

x^2 = 14^2+7^2

x^2 = 196 + 49

x^2 = 245

x = √245

x = 15.65

Similarly for y;

y2 = 5^2 + 5^2

y^2 = 25 + 25

y^2 = 50

y = √2*25

y = 5√2

Hence x = 15.65 and y = 5√2

6 0
3 years ago
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makkiz [27]
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8 0
3 years ago
Tim and Cynthia leave Cynthia's house at the same time. Tim drives north and Cynthia drives west. Tim's average speed is 10 mph
RSB [31]

Answer:

  54.2 mph

Step-by-step explanation:

Since the drivers leave at the same time and travel in directions 90° from each other, their separation speed can be found using the Pythagorean theorem. Let c represent Cynthia's average speed. Then (c-10) will represent Tim's average speed. Their combined separation speed is 70 miles per hour, so we can write ...

  70² = c² +(c -10)²

  4900 = 2c² -20c +100 . . . . eliminate parentheses

  c² -10c -2400 = 0 . . . . . . . . divide by 2; put in standard form

  (c -5)² -2425 = 0 . . . . . . . . . rearrange to vertex form

  c = 5 ±5√97 . . . . . . . . . . . . solve for c, simplify radical

  c ≈ 54.244 ≈ 54.2 . . . . . . . use the positive solution

Cynthia's average speed was 54.2 miles per hour.

6 0
3 years ago
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Slav-nsk [51]

Answer:

7x + 34 = 90

-34          -34

7x = 56

Divide by 7 on both sides:

X = 8 degrees

A right angle equals 90 degrees so that must mean angle 7x + 34 must equal to 90 so we solve for x.

A triangle equals = 180 degrees

A quadrilateral equals = 360 degrees

A right angle equals = 90 degrees

A straight line equals = 180 degrees

8 0
3 years ago
Read 2 more answers
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