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Makovka662 [10]
3 years ago
12

NEED HELP ASAP PLEASE . End of quarter today

Mathematics
1 answer:
Ainat [17]3 years ago
7 0

Answer:

I'm pretty sure it's A since B,C,and D wouldn't make sense.

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Line l is parallel to line e in the figure below.
agasfer [191]

Answer: The correct option are as follows;

(1) The triangles are similar because corresponding sides are congruent

(2) The triangles are similar because alternate interior angles are congruent

(3) In the similar triangles, Angle 3 and Angle 6 are corresponding angles

Step-by-step explanation: Please refer to the picture attached for details.

The line i and line e has been drawn and marked as parallel lines. Also two transversal lines m and n have been drawn to intersect in the region between the parallel lines to form two triangles (as shown in the picture).

From the information given, where line e intersects with line n we have angle 1, and where line e intersects with line m we have angle 3, and then the third angle is angle 2.

Furthermore, where line l intersects line m we have angle 6, and where line l intersects line n is angle 4. Also in this second triangle, the third angle is 5.

Upon close observation we would see that Angle 6 is equal to Angle 3, since the transversal m has cut across both parallel lines l and e. Similarly Angle 4 is equal to Angle 1 since the transversal n has cut across parallel lines l and e. Having that Angles 3 and 1 are congruent to Angles 6 and 4, we can conclude that the value of the third angle in one triangle is equal to the that of the third in the second triangle, that is, Angle 2 equals Angle 5. Also, if the angles are similar and the lines l and e are parallel, then the lines formed in both triangles are equal.

So our conclusions are;

The interior angle are alternate angles (Angles 3 and 6, Angles 1 and 4), and the third interior angles are Opposite (Angles 2 and 5 {Opposite angles are equal})

8 0
3 years ago
Read 2 more answers
Enter the expression N0e−λt, where N0 is N-naught (an N with a subscript zero) and λ is the lowercase Greek letter lambda.
Natali5045456 [20]
So the question tells to express the expression in your problem where N0 is N-naught and the symbol represent the lower case Greek letter lambda. So the best answer or expression would be that the lambda is the wavelength of the expression. I hope you are satisfied with my answer 
7 0
3 years ago
Read 2 more answers
The regular price of the soccer ball is $25. During the sale, it is 20 percent off. Use ratio reasoning to find x, the amount th
Evgen [1.6K]

$ 5 is taken is off the regular price

<em><u>Solution:</u></em>

Given that, Regular price of the soccer ball is $ 25

During the sale, it is 20 percent off

Let "x" be the amount that is taken off the regular price

Regular price = $ 25

Discount = 20 percent off

Which means, 20 % of regular price is taken off

x = 20 % of regular price

x = 20 % of 25

x = \frac{20}{100} \times 25\\\\x = 5

Thus $ 5 is taken is off the regular price

3 0
3 years ago
What is the surface area of the right prism given below?
posledela

Answer: Option D.

Step-by-step explanation:

You can calculate the surface area of this right prism by adding the area of its faces.

You can observe that the faces of the right prism are:  Three different rectangles and two equal triangles.

The formula for calculate the  area of a rectangle is:

A=lw

 Where "l" is the lenght and "w" is the width.

The formula for calculate the  area of a triangle is:

A=\frac{bh}{2}

Where "b" is the base and "h" is the height.

You can observe that the hypotenuse of the each triangle is the width of one of the larger rectangle, then , you can find its value with the Pythagorean Theorem:

a=\sqrt{b^2+c^2}

Where "a" is the hypotenuse and "b" and "c" are the legs of the triangle.

Then, this is:

a=\sqrt{(8units)^2+(15units)^2}=17units

Therefore, you can add the areas of the faces to find the surface area of the right prism (Since the triangles are equal, you can multiply the area of one of them by 2). This is:

SA=(10units)(8units)+(15units)(10units)+(17units)(10units)+2(\frac{(15units)(8units)}{2})\\\\SA=520units^2

5 0
3 years ago
Read 2 more answers
Jenny is displaying her photographs
Inga [223]

Answer:

A) 9 photos in each row

B) 14 rows in total

Step-by-step explanation:

Photos of People = 45

Photos of Landscapes = 18

Photos of Pets = 63

Jenny wants to arrange these photos in rows with only one kind of photos in each row and same number of photos in each row. We have to find the greatest possible number of photos in each row. For this we need to find the greatest common factor of 45,18 and 63. This would give us the greatest possible number of photos that can be placed in each row.

By observing the 3 numbers, we can tell that the greatest common factor of these 3 numbers is 9. So, Jenny can place 9 photos in each row.

So,

There will be:

45/9 = 5 rows with photos of people

18/9 = 2 rows of photos of landscapes

63/9 = 7 rows of photos of pets

So, total number of rows would be = 5 + 2 + 7 = 14 rows

3 0
3 years ago
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