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3 years ago

In the figure, AB¯¯¯¯¯ is parallel to DE¯¯¯¯¯ .

Mathematics

2 answers:

lisov135 [29]3 years ago

6 0

To answer this problem, let us first discuss what is a similar triangle:
Similar triangle is defined as having two or more triangles that have all corresponding angles that are equal and all corresponding sides that are proportionate. It does not matter what direction the triangles are facing. Their size does not matter as long as each side is proportionate.
In figure shown, it is observed that the the corresponding angles are equal and sides are proportionate. Thus,Triangle ABC and triangle DEC are SIMILAR.

Lynna [10]3 years ago

5 0

Answer:

It's A

Step-by-step explanation:

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Can somebody please help me with this problem please

Furkat [3]

Answer:

m = 3, n = 4

Step-by-step explanation:

Solve using the substitution process. First, start with the second equation:

2m + 2n = 14

Simplify. Divide 2 from all terms within the equation. What you do to one side, you do to the other:

(2m + 2n)/2 = (14)/2

m + n = 7

Isolate the variable m. Subtract n from both sides:

m + n (-n) = 7 (-n)

m = 7 - n

Plug in 7 - n for m in the first equation:

-5m + 9n = 21

-5(7 - n) + 9n = 21

Solve. First, distribute -5 to all terms within the parenthesis:

(-35 + 5n) + 9n = 21

Simplify. Combine like terms:

-35 + (5n + 9n) = 21

-35 + 14n = 21

Isolate the variable, n. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, add 35 to both sides:

14n - 35 (+35) = 21 (+35)

14n = 21 + 35

14n = 56

Isolate the variable n. Divide 14 from both sides:

(14n)/14 = (56)/14

n = 56/14

n = 4

Plug in 4 to n in one of the equations, and solve for m.

2m + 2n = 14

2m + 2(4) = 14

2m + 8 = 14

Isolate the variable, m. Do the opposite of PEMDAS. First, subtract 8 from both sides:

2m + 8 (-8) = 14 (-8)

2m = 14 - 8

2m = 6

Divide 2 from both sides:

(2m)/2 = (6)/2

m = 6/2

m = 3

Your answers: m = 3, n = 4

6 0

3 years ago

Read 2 more answers

Rank the following tools for measuring length from those that give the least precise results to the most precise results.

saw5 [17]

Answer:

option 3,4,2,1

Step-by-step explanation:

8 0

3 years ago

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What is the LCM of 80

grigory [225]

so is the question right?

8 0

3 years ago

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The rate at which rain accumulates in a bucket is modeled by the function r given by r(t)=10t−t^2, where r(t) is measured in mil

mars1129 [50]

Answer:

36 milliliters of rain.

Step-by-step explanation:

The rate at which rain accumluated in a bucket is given by the function:

$r(t)=10t-t^2$

Where r(t) is measured in milliliters per minute.

We want to find the total accumulation of rain from t = 0 to t = 3.

We can use the Net Change Theorem. So, we will integrate function r from t = 0 to t = 3:

$\displaystyle \int_0^3r(t)\, dt$

Substitute:

$=\displaystyle \int_0^3 10t-t^2\, dt$

Integrate:

$\displaystyle =5t^2-\frac{1}{3}t^3\Big|_0^3$

Evaluate:

$\displaystyle =(5(3)^2-\frac{1}{3}(3)^3)-(5(0)^2-\frac{1}{3}(0)^3)=36\text{ milliliters}$

36 milliliters of rain accumulated in the bucket from time t = 0 to t = 3.

4 0

3 years ago

Lauren drew a triangle. Its sides were 7\text{ mm}7 mm7, start text, space, m, m, end text, 9\text{ mm}9 mm9, start text, space,

kkurt [141]

Answer: The triangle has two angles of 49.99° and one angle of 80.02°

Step-by-step explanation:

We have a triangle with sides of 7mm, 9mm and 7mm

The triangle has two equal sides, so this means that this is a Isosceles triangle.

The angles are

The base of this triangle is the side with 9mm, and the two base angles are equal.

We can find the base angles by drawing a line from the middle of the base to the top vertice, then we will have a triangle rectangle with a hypotenuse of 7mm, a adjacent cathetus of 4.5 mm, and with this two things we can find the base angle by using the relation

cos(a) = adjacent cathetus/hypotenuse = 4.5mm/7mm

a = Acos(4.5/7) = 49.99°

Then in our isosceles triangle we have two base angles of 49.99°

To find the other angle we can use the fact that the 3 inner angles of a triangle adds up top 180°

Then

49.99° + 49.99° + A = 180°

A = 180° - 2*49.99° = 80.02°

8 0

3 years ago

In the figure, AB¯¯¯¯¯ is parallel to ​ DE¯¯¯¯¯ ​.

In the figure, AB¯¯¯¯¯ is parallel to DE¯¯¯¯¯ .