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2 years ago

Need help with this geometry question, solving for x and please explain the formula for this

Mathematics

1 answer:

Alborosie2 years ago

3 0

Alright, so what we can take as a given is that arcDE/2= ∠CDE=2x+20 since the arc corresponding to the angle is 2*the angle. To solve for arcDE, we multiply both sides by 2 to get 2(2x+20)=4x+40=arcDE. Since the arcs in a circle add up to 360 degrees and we only have -20+30x and arcDE, we have -20+40+4x+30x=360 using the associative property. Simplifying, we get 20+34x=340. Subtracting 20 from both sides, we get 340=34x. Next, we can divide both sides by 34 to get 10=x.

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3. (04.01 MC)

Umnica [9.8K]

Answer: New line = 4AB

Step-by-step explanation:

If a figure is dilated with a scale factor of k , then the measure of new side length = k x (Original side)

if AB a line through center of parallelogram RSTU is drawn , then, after dealation with scale factor k= 4 , the length of new line through center = 4 x AB or 4AB.

The relationship will the new line have with line AB :

New line = 4AB

3 0

2 years ago

How many ways are there to select 12 countries in the United Nations to serve on a council if 3 are selected from a block of 45,

sattari [20]

Answer: There are 2346953264 ways to do so.

Step-by-step explanation:

Since we have given that

Total number of selected countries = 12

Number of selected countries from a block of 45 = 3

Number of selected countries from a block of 57 = 4

So, remaining number of selected countries from a block of 69.

So, 12-(3+4)=12-7=5

Now, we need to find the number of ways, so we will use "Combination" to select that number of countries.

So, it becomes.

$^{45}C_3\times ^{57}C_4\times ^{57}C_5\\\\=14190\times 395010\times 4187106\\\\=2346953264$

Hence, there are 2346953264 ways to do so.

8 0

3 years ago

Derek bought 15 feet of rope for a science project. if he used 10 3/8 feet of the rope, how many feet of rope does he have left

Lubov Fominskaja [6]

Answer:

155.625 or ( 89/160 )

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Distribute the following 3(2x+6)

erastova [34]

Answer:

6x+18

Step-by-step explanation:

3(2x+6)

Distribute

3* 2x + 3*6

6x+18

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2 years ago

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Which of the following is the conjugate of a complex number with 5 as the real part and -2i as the imaginary part?

dimulka [17.4K]

<span>Which of the following is the conjugate of a complex number with 5 as the real part and -2i as the imaginary part?

Conjugate of 5-2i is just 5+2i.</span>

6 0

3 years ago