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3 years ago

Parallelograms please finish this off

Mathematics

1 answer:

seraphim [82]3 years ago

7 0

Answer:

angle ABE = angle CDE because of the alternate interior angles theorem

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What is the area of the triangle that is 30 m base in the height of 12 m in a straight line of 13

Reika [66]

Answer:

Step-by-step explanation:

3 0

3 years ago

Which of the following is the product of the rational expression shown below

wolverine [178]

Option C: $\frac{x^{2}-9}{x^{2}-4}$ is the product of the rational expression.

Explanation:

The given rational expression is $\frac{x+3}{x+2} \cdot \frac{x-3}{x-2}$

We need to determine the product of the rational expression.

<u>Product of the rational expression:</u>

Let us multiply the rational expression to determine the product of the rational expression.

Thus, we have;

$\frac{(x+3)(x-3)}{(x+2)(x-2)}$

Let us use the identity $(a+b)(a-b)=a^2-b^2$ in the above expression.

Thus, we get;

$\frac{x^{2} -3^2}{x^{2} -2^2}$

Simplifying the terms, we get;

$\frac{x^{2}-9}{x^{2}-4}$

Thus, the product of the rational expression is $\frac{x^{2}-9}{x^{2}-4}$

Hence, Option C is the correct answer.

6 0

3 years ago

Below is the graph of a trigonometric function. It has a minimum point at (2, -0.9) and an amplitude of 3.

Anestetic [448]

Answer: it’s 2.1

Step-by-step explanation:

Amplitude + y value 3+-0.9=2.1

Your welcome :)

3 0

3 years ago

I need help with this 8

zubka84 [21]

The complete proof for the given parallelogram is given in the image attached below.

<h3>What is a Parallelogram?</h3>

A parallelogram is a quadrilateral whose opposite sides are parallel and also congruent to each other.

The complete proof would be as shown below:

1. ABCD is a parallelogram [given]

2. AB║CD [Definition of parallelogram]

3. ∠1 ≅ ∠2, ∠3 ≅ ∠4 [alternate interior angles theorem]

4. AB ≅ CD [Definition of parallelogram]

5. ΔABE ≅ ΔCDE [ASA]

6. AE ≅ CE, BE ≅ DE [CPCTC]

7. AC and BD bisects each other at E [definition of segment bisector]

Learn more about parallelogram on:

brainly.com/question/3050890

#SPJ1

6 0

2 years ago

Caleb has an assignment to draw a contour map. What type of landform is he most likely drawing?

marysya [2.9K]

The type of land form that Caleb most likely draws is a hill. The answer is option C- a hill.

Step-by-step explanation:

Contour lines are <u>drawn to represent the changes in the elevation</u> which helps to know the slope of the figure drawn.
If the contour lines are drawn close, then steeper the figure is. And more distant the lines are drawn, then less steep the figure is.
Here, the lines seem to be likely circle in shape. The distance of the outermost contour line is 20 ft. The <u>next inner lines will have reduced values of 20 ft.</u>
Therefore, <u>the elevation gets reduced from higher to lower points</u> which provides a diagram of a hill. Since there is no continuous high and low elevations, this cannot be a valley (a range of mountains).
Furthermore, The contour diagram for option A and D such as creek(water stream) or shoreline will have different and mixed values of elevations that seems to be a messy structure of contour lines.

8 0

3 years ago