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Oksanka [162]
2 years ago
5

A trellis consists of overlapping wooden slats.

Mathematics
1 answer:
Alex73 [517]2 years ago
8 0

The position of the angles are corresponding angles.

The value of x should be 6 for the slats to be parallel.

The theorem use to prove the parallel slat is the corresponding angle theorem.

The measure of the indicated angles are 42 degrees.

<h3>How to know a corresponding angles?</h3>

Corresponding angles are the angles that are formed when two parallel lines are intersected by the transversal.

Therefore, the position  of the angles are corresponding angles

Since the angles are corresponding angles, they are congruent.

Therefore,

3x + 24 = 7x

24 = 7x - 3x

24 = 4x

x = 6

The theorem use to prove the postulate is the corresponding  angle theorem.

The measure of the indicated angle can be calculated as follows:

7(6) = 42 degrees.

learn more on corresponding angles here:brainly.com/question/26251987

#SPJ1

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A picture has an area of 35cm and is 7cm long.An enlargement of the picture is made is 21cm long.Find the area of the enlargemen
marta [7]

Answer: The area of the enlargement is 315cm.

Step-by-step explanation:

If the picture has 35cm as the area and it has a length of 7cm  then we can find the width by dividing the area by the length.

w= 35/7

w =  5      

So in this care the width of the picture in 5cm.

Now is saying that the picture's length has been enlarge or been dilated to 21 cm. To get from 7cm to 21cm you will have to multiply  by 3.  

In this situation, we will have to multiply the original picture's width by 3 to find it enlargement.

w= 5*3 = 15  

The width is 15cm and the length is 21cm so multiply them to find the area.

A = 15 * 21

A = 315cm

6 0
3 years ago
X+3/2 + (x-1) = 4/5 ​
tester [92]

Answer:

x = \frac{3}{20}

Step-by-step explanation:

Given

x + \frac{3}{2} + (x - 1) = \frac{4}{5}

Multiply through by 10 ( the LCM of 2 and 5 ) to clear the fractions

10x + 15 + 10(x - 1) = 8

10x + 15 + 10x - 10 = 8

20x + 5 = 8 ( subtract 5 from both sides )

20x = 3 ( divide both sides by 20 )

x = \frac{3}{20}

3 0
2 years ago
Read 2 more answers
Each year a car is worth 8% less than it was the year before. After 3 years, the car is worth $19,311.46. What was the original
vagabundo [1.1K]

Answer:

$24,800

Step-by-step explanation:

If a car is worth 8% less after one year, then it is worth 92% of the original value.

original value = x

after 1 year: 0.92x

after 2 years: 0.92(0.92x)

after 3 years: 0.92(0.92(0.92x))

0.92³x = $19,311.46

x = $19,311.46/0.92³

x = $24,800

3 0
2 years ago
Uhmmmm... yea............ ​
Korvikt [17]

Answer:

You add 12.5+12.5+3.02+3.02 which equals 31.04

Step-by-step explanation:

8 0
2 years ago
Can you tell me who's correct with an explanation and what the cause of error is? Please? lol.
Zielflug [23.3K]
It's not an irrational number because the decimal is repeating. If it went on forever and never repeated then it would be an irrational number.

I think the error is that Richie thought for a number to be irrational, it just needed to repeat forever.
4 0
3 years ago
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