Which of the following could be used to describe angles DBC and ABD?

Let Ebe the set of all even positive integers in the universe Zof integers, and XE : Z R be the characteristic function of E.

AnnZ [28]

Answer:

$\mathbf{X_E (2) = 1}$

$\mathbf{X_E (-2) = 0 }$

$\mathbf{\{ x \in Z: X_E(x) = 1\} = E}$

Step-by-step explanation:

Let E be the set of all even positive integers in the universe Z of integers,

i.e

E = {2,4,6,8,10 ....∞}

$X_E : Z \to R$ be the characteristic function of E.

∴

$X_E(x) = \left \{ {{1 \ if \ x \ \ is \ an \ element \ of \ E} \atop {0 \ if \ x \ \ is \ not \ an \ element \ of \ E}} \right.$

For XE(2)

$\mathbf{X_E (2) = 1}$ since x is an element of E (i.e the set of all even numbers)

For XE(-2)

$\mathbf{X_E (-2) = 0 }$ since - 2 is less than 0 , and -2 is not an element of E

For { x ∈ Z: XE(x) = 1}

This can be read as:

x which is and element of Z such that X is also an element of x which is equal to 1.

∴

$\{ x \in Z: X_E(x) = 1\} = \{ x \in Z | x \in E\} \\ \\ \mathbf{\{ x \in Z: X_E(x) = 1\} = E}$

E = {2,4,6,8,10 ....∞}

5 0

3 years ago

Beth made wristbands and belts for a craft sale. She sold 30 of these items. Each wristband sold for $5.50. Each belt sold at $8

baherus [9]

<u>✿</u><u>Answer:</u>

Both sold 18 wristbands and 12 belts

✂----------------------

Let, number of wristbands = x

number of belts = y

$x+y=30$ ➞ $x~5.5$

$5.50x+8.75y=204$ $x1$

$5.50x+5.5y=165\\5.5x+8.75y=204\\---------\\-3.25y=-39$

$y=-39/3.25$

$y=12$

$x=30-12=18$

$So, Both~ sold ~18 ~wristbands ~and ~12~ belts$ .

❄❄❄❄❄❄

<h3>hope it helps...</h3><h3>have a great day!!</h3>

5 0

3 years ago

The ratio of the measures of the sides of a triangle is 8: 15: 17, and its perimeter is 480 in.. Find the measure of the shortes

lubasha [3.4K]

Answer:

96

Step-by-step explanation:

The ratio of the measure of sides of a triangle are 8:15:17

The perimeter is 480

8x + 15x + 17x= 480

40x= 480

x = 480/40

x = 12

Therefore the measure of the shortest side of the triangle can be calculated as follows

8x

8×12

= 96

6 0

3 years ago

At julies fabric store a yard of chiffon fabric cost 7.85. lee plans to purchase 0.8 yard for a craft project if lee gives the c

Oksanka [162]

$7.85 x .8 yards=$6.28.

$10-$6.28=$3.72 change back

4 0

3 years ago

Write an equation for the function that includes the following points (2, 32) and (3, 64)

luda_lava [24]

Answer:

y=32x-32

Step-by-step explanation:

this time no algorithm or equation was needed i saw that if the equation was y=32x there would be ordered pairs (1,32) and (2,64) so to delay it by 1 on the x side just subtract the slope from the y - intercept sorry if that doesn't make sense

6 0

3 years ago