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yaroslaw [1]
4 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]4 years ago
3 0

Answer:

2

Step-by-step explanation:

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Alecsey [184]

Answer:

x=0.68

Step-by-step explanation:

we have

8(9^x)=35.68

solve for x

Divide both sides by 8

8(9^x)/8=35.68/8

(9^x)=4.46

Apply log both sides

log(9^x)=log(4.46)

Applying logarithmic property

\log a^x=x\log a

(x)log(9)=log(4.46)

x=log(4.46)/log(9)

x=0.68

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4 years ago
You are standing 25 feet from the base of a flagpole.The angle of elevation to the top of the flagpole is 40°.What is the height
liraira [26]

Answer: the height of the flagpole is 21 ft

Step-by-step explanation:

Since the angle of elevation to the top of the flagpole is 40°, a right angle triangle is formed. The height of the flagpole represents the opposite side of the right angle triangle. Your distance from the base of the flagpole represents the adjacent side of the right angle triangle. Therefore, to determine the height of the flagpole, x ,we would apply the tangent trigonometric ratio which is expressed as

Tan θ = opposite side/adjacent side

Tan 40 = x/25

x = 25tan40 = 25 × 0.8391

x = 20.98

x = 21.0 ft to the nearest tenth.

6 0
3 years ago
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frozen [14]
The answer is y=65x+50
8 0
3 years ago
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When figuring out the amount of mulch would be needed for Alex's back yard, he created an equation that
soldier1979 [14.2K]

Answer:

Alex will need 14 bags

Step-by-step explanation:

B= 4(2x+7)+3(2x+7)

and

2x+7=2

First, we should solve the second equation to obtain x:

2x+7=2

2x=2-7

x= -5/2

Then, we use this answer to calculate B:

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B=4(-5+7)+6

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3 years ago
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Scilla [17]

Answer:

$1,824

Step-by-step explanation:

57*32 = 1,824.

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3 years ago
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