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yaroslaw [1]
3 years ago
6

Look at the parallelogram ABCD shown below. The table below shows the steps to prove that if the quadrilateral ABCD is a paralle

logram, then its opposite sides are congruent. Statement Reasons 1 . AB is parallel to DC and AD is parallel to BC - definition of parallelogram 2 . angle 1 = angle 2, angle 3 = angle 4 - if two parallel lines are cut by a transversal then the corresponding angles are congruent 3 . BD = BD - Reflexive Property 4 . triangles ADB and CBD are congruent - if two sides and the included angle of a triangle are congruent to the corresponding sides and angle of another triangle , then the triangles are congruent by SAS postulate 5 . AB = DC, AD = BC - corresponding parts of congruent triangles are congruent Which statement is true about the table? 1. It is not correct because it provides incorrect sequence of statement 2 and statement 4. 2. It is not correct because it does not provide correct reasons for statement 2 and statement 4. 3. It is accurate because it provides the correct sequence of statements. 4. It is accurate because it provides the correct reasons for the statements.

Mathematics
1 answer:
Liula [17]3 years ago
3 0

Answer:

2

Step-by-step explanation:

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Find the equation of the linear function represented by the table below in the slope-intercept form.
MAXImum [283]

Answer:

y=x-32

Step-by-step explanation:

y=mx+b where m is the slope and b is the y-intercept.

slope=change in y/change in x

=5/5

y=5x+b --> choose a random point

(7,3) ---> 3=5(7)+b=35+b

b= -32

y=x-32

6 0
2 years ago
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A bag contains 6 nickels and 14 pennies. What is the ratio, written in lowest terms, of nickels to the total number of coins in
VLD [36.1K]
There are 6 nickels and 14 pennies.
There are 20 total coins.

The ratio of nickels to coins is 6:20.
Both of these are divisible by 2, so we can reduce this to 3:10.
4 0
3 years ago
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This exercise involves the formula for the area of a circular sector. The area of a circle is 700 m2. Find the area of a sector
mezya [45]

Answer:

334.4 m²

Step-by-step explanation:

The formula for the area of a sector is given as:

1/2 × r² × θ

Where θ = Central angle

Area of a Circle = 700 m²

The formula for the area of a circle = πr²

r = Radius of a circle

r² = Area / π

r = √Area / π

r = √700/π

r = 14.927053304 m

Approximately, r = 14.93 m

Therefore, the area of the sector

= 1/2 × r² × θ

= 1/2 × 14.93² × 3 rad

= 334.35735 m²

Approximately, Area of the sector = 334.4 m²

4 0
2 years ago
How do I solve this?
Artemon [7]

a^2 - b^2 = (a + b)(a - b)

In this case

49x^4y^2 - 4z^2

= (7x^2y)^2 - (2z)^2

= (7x^2y + 2z)(7x^2y - 2z)

Factors are (7x^2y + 2z) and (7x^2y - 2z)

Answer:

D) 7x^2y + 2z

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2 years ago
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