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3 years ago

What are the values of x, y, and z?

Mathematics

1 answer:

hoa [83]3 years ago

6 0

<h3>To find value of x</h3>

Formula applied:

Exterior angle=Sum of interior angles

Answer:

x=66⁰+45⁰

x=111⁰✔

<h3 />

<h3>To find value of z:</h3>

Formula applied:

Exterior angle=Sum of interior angles

Answer:

119⁰=43⁰+z⁰

119⁰-43⁰=z⁰

z⁰=76⁰✔

<h3>To find value of y:</h3>

∠1+66⁰=180⁰(L.P)

∠1=180⁰-66⁰

∠1=114⁰

Formula used:

Sum of angles of a triangle =180⁰

Answer:

∠ 1+30⁰+y⁰=180⁰

114⁰+30⁰+y⁰=180⁰

y⁰=180⁰-144⁰

y⁰=36⁰✔

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ioda

Answer:

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2 years ago

A triangle with the coordinates X(3, 2), Y(5, -1), and Z(-2, 3) is reflected across both the x- and y-axes. The coordinates afte

nata0808 [166]

Answer:

The coordinates of the reflected triangle are $X'(x,y) = (-3,-2)$ , $Y' (x,y) = (-5,1)$ and $Z'(x,y) = (2,-3)$ .

Step-by-step explanation:

Let be a point $(a,b)\in\mathbb{R}^{2}$ , reflections across x- and y-axes are represented by the following operations:

x-Axis reflection:

$d = d'$

$b - 0 = 0 - b'$

$b' = -b$

y-Axis reflection:

$d = d'$

$a - 0 = 0 - a'$

$a' = -a$

If we know that $X (x,y) = (3,2)$ , $Y(x,y) = (5,-1)$ and $Z (x,y) = (-2, 3)$ , the coordinates after both reflections are, respectively:

$X'(x,y) = (-3,-2)$

$Y' (x,y) = (-5,1)$

$Z'(x,y) = (2,-3)$

The coordinates of the reflected triangle are $X'(x,y) = (-3,-2)$ , $Y' (x,y) = (-5,1)$ and $Z'(x,y) = (2,-3)$ .

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3 years ago

6. Sharon divides a meatloaf into elevenths. How many elevenths equals the whole meatloaf?

Andreas93 [3]

Answer:

11 elevenths equal a whole meatloaf

11/11=1

7 0

2 years ago

Read 2 more answers

Evaluate.

kogti [31]

9/10 - 2/5 + 1/3

= 5/6 (Decimal: 0.8333333)

Subtract:
9/10 - 2/5 = 9/10 - 2 . 2/5 . 2
= 9/10 - 4/10
= 9 - 4/10
= 5/10
= 1/2

The common denominator you can calculate as the least common multiple of the both denominators LCM ( 10, 5) = 10

Add: 1/2 + 1/3 = 1 . 3/2 . 3 + 1 . 2/3 . 2
= 3/6 + 2/6
= 3 + 2/6

= 5/6

The common denominator you can calculate as the least common multiple of the both denominators LCM ( 2, 3) = 6

Answer in Lowest term is: 5/6 or Decimal: 0.8333333

Hope that helps!!!

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3 years ago

Sam ran 40 yards in 5 seconds. What was her rate of speed in miles per hour? A) 2 mph B) 5 mph C) 16 mph D) 22 mph

SVEN [57.7K]

B) 5 mph

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2 years ago

Read 2 more answers

What are the values of​ x, y, and​ z?

What are the values of x, y, and z?