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2 years ago

The figure below is not drawn to scale. ABCD is a parallelogram, Find

Mathematics

1 answer:

Butoxors [25]2 years ago

4 0

$\angle BAD=100^{\circ}$ (opposite angles in a parallelogram)

$\angle EAD=80^{\circ}$ (subtraction)

$\angle ADE=65^{\circ}$ (angles in a triangle add to 180 degrees)

$\angle CDA=80^{\circ}$ (adjacent angles in a parallelogram are supplementary)

$\boxed{\angle CDE=15^{\circ}}$ (subtraction)

$\angle CED=65^{\circ}$ (angles in a triangle add to 180 degrees)

$\boxed{\angle AEB=80^{\circ}}$ (angles on a straight line add to 180 degrees)

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A bag contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the coins, 8% are pennies and 40% are d

-Dominant- [34]

The bag contains $2.39

Explanation 40% of 50 coins is 20 dimes which equals 2 dollars

8 percent is 4 pennies

2.00+ .04 is 2.04

Plus 7 nickels because there are 3 more nickels than pennies 7*5= 35

2.04+.35= 2.39

3 0

3 years ago

A badminton tournament begins with 512 teams. If a team loses once, it is eliminated from competition. After the first round, 25

tankabanditka [31]

Answer:

This is GP with the first term of 512 and common ratio of 1/2

<u>The formula for nth term is:</u>

aₙ = 512*(1/2)ⁿ

<u>The number of teams after the 4th round:</u>

a₄ = 512*(1/2)⁴ = 32 teams

<u>Number of rounds to determine the champion:</u>

1 = 512*(1/2)ⁿ
2⁰ = 2⁹*2⁻ⁿ
0 = 9 - n
n = 9 rounds

8 0

3 years ago

Read 2 more answers

Which is true about the domain and range of a function in the form f(x) = m√x, where m is a real number greater

sveticcg [70]

There is an infinite number of values that are in both the domain and range.

<h3>Define domain and range.</h3>

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values. The collection of all potential inputs for a function is its domain.

Given Data

Range of a function in the form f(x) = m√x, where m is a real number greater than 0

There is an infinite number of values that are in both the domain and range.

The range of a function always has an unlimited number of values when the domain of the function does. The claim is untrue because more than one input and output might have been matched.

To learn more about domain and range, visit:

brainly.com/question/28135761

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6 0

1 year ago

A parabola, with its vertex at the origin, has a directrix at y = 3. Which statements about the parabola are true? Select two op

shutvik [7]

Answer:

Step-by-step explanation:

Let's answer these questions in an all-encompassing kind of explanation. If you plot the vertex and the directrix, you see that the vertex is below the directrix. Because of the fact that a parabola opens AWAY from the directrix, and wraps itself around the focus, we know it's an upside down parabola of the form

$4p(y-k)=-(x-h)^2$

The p value from the equation is a distance, specifically the distance between either the vertex and the directrix, or the vertex and the focus. The vertex is exactly in the middle of the directrix and the focus. So that tells us that the focus is 3 units below the vertex (because the directrix is 3 units above the vertex). We also know from this that p = 3.

Filling in the equation with a vertex of (0, 0) which is our h and k respectively:

$4(3)(y-0)=-(x-0)^2$ which simplifies to

$12y=-x^2$ and multiplying both sides by -1:

$-12y=x^2$ . This is not standard form, but it matches what your equation is in the choices. So to sum up:

The focus is located at (0, -3) and the first choice is true.

The parabola opens upside down and the second choice is not true.

The p value is found by counting the units between the vertex and the directrix, so the third choice is not true.

We solved the equation by filling in the values for h, k, and p and got that the equation in the fourth choice is true.

So the fifth choice is not true.

6 0

3 years ago

Read 2 more answers

hey! please help with this!!! Write all the 12 answer of measurements. If you can’t do it and you think it’s a lot you don’t hav

jarptica [38.1K]

Answer:

1) 1 and 4

2) 1 and 2

3) 1 and 5

4) 2 and 3

5) 130

6) 90

7) 25

8) 115

9) 70

10) 115

11) 40

12) 105

Step-by-step explanation:

Hope this isn't spam! Lol

4 0

3 years ago