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Given: // CDAB , ∠≅∠ DB and ≅ EDBF . Prove: Δ ABF ≅ Δ CED

SCORPION-xisa [38]

Given: line segment AB // to line segment CD, ∠B ≅∠D and line segment BF ≅ to line segment ED. Prove: Δ ABF ≅ Δ CED.

Follow the matching numbers on the statement versus reason chart.

Statement:

1. line segment AB // to line segment CD.

2. ∠B ≅∠D

3. line segment BF ≅ to line segment ED.

4. ∠A ≅∠C

5. Δ ABF ≅ Δ CED

Reason:

1. Given

2. Given

3. Given

4. Alternate interior angles are congruent.

5. Corresponding parts of congruent triangles are congruent.

4 0

3 years ago

Which of the following quadrilaterals have diagonals that bisect each other?

Taya2010 [7]

Answer:

All A. B. C. D.

Step-by-step explanation:

7 0

3 years ago

A rocket is launched into the air. The height h(t), in yards, of the rocket is a function of time, t, in seconds, as shown in th

RideAnS [48]

Answer:

From 3 to 6 seconds, the rocket is falling 11 yards per second.

Step-by-step explanation:

Normal pace of progress is exactly the same thing as the slant. Since this is explanatory, we can't track down the specific pace of progress as we could if this were a straight capacity. Be that as it may, we can utilize a similar thought. At the point when t = 3, h(t) = 33, so the organize point is (3, 33). At the point when t = 6, h(t) = 0, so the facilitate is (6, 0). Attachment those qualities into the incline recipe:

m= 0-33/6-3 and m=-33/3 which is 11

From 3 to 6 seconds, the rocket is falling 11 yards each second.

Brainliest?

7 0

3 years ago

Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.

Amiraneli [1.4K]

The correct representations of the given inequality are

–6x + 15 < 10 – 5x

and

A number line with an open circle at 5 and a bold line that starts at 5 and is pointing to the right. The correct options are the third and fourth options

<h3>Solving inequality</h3>

From the question, we are to solve the inequality

The given inequality is

–3(2x – 5) < 5(2 – x)

First, clear the brackets

–6x + 15 < 10 – 5x

NOTE: This is one of the correct representations of the inequality

Collect like terms

-6x + 5x < 10 - 15

-x < -5

Divide both sides by -1 and flip the sign

x > 5

Representing this on a number line, we get a number line with an open circle at 5 and a bold line that starts at 5 and is pointing to the right.

Hence, the correct representations of the given inequality are

–6x + 15 < 10 – 5x

and

A number line with an open circle at 5 and a bold line that starts at 5 and is pointing to the right. The correct options are the third and fourth options

Learn more on Inequalities here: brainly.com/question/246993

#SPJ1

6 0

2 years ago

Enter your answer and show all the steps that you use to solve this problem in the space provided.

rodikova [14]

Answer:

$\boxed{f(x) - g(x) = 2x(2x^{2} + x + 1)}$

Step-by-step explanation:

f(x) = 9x³ + 2x² - 5x + 4; g(x)=5x³ -7x + 4

Step 1. Calculate the difference between the functions

(a) Write the two functions, one above the other, in decreasing order of exponents.

ƒ(x) = 9x³ + 2x² - 5x + 4

g(x) = 5x³ - 7x + 4

(b) Create a subtraction problem using the two functions

ƒ(x) = 9x³ + 2x² - 5x + 4

-g(x) = -(5x³ - 7x + 4)

ƒ(x) -g(x)=

(c). Subtract terms with the same exponent of x

ƒ(x) = 9x³ + 2x² - 5x + 4

-g(x) = -(5x³ - 7x + 4)

ƒ(x) -g(x) = 4x³ + 2x² + 2x

Step 2. Factor the expression

y = 4x³ + 2x² + 2x

Factor 2x from each term

y = 2x(2x² + x + 1)

$\boxed{f(x) - g(x) = 2x(2x^{2} + x + 1)}$

5 0

3 years ago