MATHEMATICS MIDDLE SCHOOL

Segments AB, DC and Ec intersect at point C. Angel DCE measures 148. Find the value of x.

Answers

Answer 1
Answer:

The image is attached.

Answer:

x = 16°

Step-by-step explanation:

Segment AB, segment DC and segment EC all intersect at point C.

Here, we are told angle DCE measures 148°.

This is a semi-circle, and the total angle of a semi-circle is 180°.

Which means, x+x+148 = 180

Solving for x, we have:

x+x+148 = 180

2x + 148 = 180

2x = 180 - 148

2x = 32

x = (32)/(2)

x = 16°

The value of x is 16°
Answer 2
Answer:

Final answer:

To find the value of x, we need to deduce the measurements of angles formed by the intersecting segments. By applying the properties of angles in triangles and parallel lines, we can determine that x equals 32 degrees.

Explanation:

Let's name the point of intersection as M. Since segments AB, DC, and EC intersect at point C, it means that point C is common to all three segments.

Given that angle DCE measures 148 degrees, it means that angle DCM (formed by segments DC and EC) is also 148 degrees. We know that the sum of angles in a triangle is 180 degrees.

Therefore, angle CMD (formed by segments DC and AB) is equal to 180 - 148 = 32 degrees. Since segments DC and AB are parallel, angle CMD is also equal to angle ACB.

Hence, the value of x is 32 degrees.

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Can someone please help me?I would like to know why C is correct. Please show your work

Brainliest + points

Answers

Answer:

C is correct because if she pays 700 dollars for a car payment her amount of money to spent money ratio will be above the recommended amount of spent money percentage to amount of money ratio, therefore meaning she will be in credit overload.

Step-by-step explanation:

Kende bought 3 books that were all the same price. he paid a total of 40.20

Answers

3 ÷ 40.20 = 13.40$ Each

10 quarts are how many cups

Answers

10 quarts equals 40 cups. Hope this helps:)
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Jason can travel 24 3/4 miles is 1/2 hour. what is his average speed in miles per hour?

Answers

Answer: \text{Average speed}=49(1)/(2) miles per hour

Step-by-step explanation:

Formula to find the average speed is given by :-

\text{Average speed}=\frac{\text{Distance}}{\text{Time}}

Given : Distance = 24(3)/(4) miles=(24*4+3)/(4) miles

=(99)/(4) miles

Time =(1)/(2) hour

Then, \text{Average speed}=((99)/(4))/((1)/(2))

i.e. \text{Average speed}=(99*2)/(4)=(99)/(2)

i.e. \text{Average speed}=49(1)/(2) miles per hour
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V=S/t
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To start her collection of comic books, Joylin’s uncle gives her a box of comic books and several monthly subscriptions to comic books. the number of comic books in her collection, y, after x months is modeled by the equation shown: y=40+6x. What does the number 40 represent?

Answers

40 would represent the starting number of comics.

Final answer:

In the equation y=40+6x, 40 represents the initial number of comic books in Joylin's collection, given to her by her uncle. Over time, she gains additional comic books from monthly subscriptions.

Explanation:

In the provided equation, y=40+6x, the number 40 represents the initial amount of comic books Joylin has before the monthly subscriptions start. This is essentially the number of comic books Joylin's uncle gave her to start her collection. The number 6 represents the number of books she receives monthly from the subscriptions. Therefore, 'x' months after receiving the initial batch of comic books, Joylin has 40 + 6x comic books in her collection.

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