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Allushta [10]
3 years ago
12

Pls help:) (geometry)

Mathematics
1 answer:
dybincka [34]3 years ago
7 0

Answer:

see explanation

Step-by-step explanation:

(15)

Since BE bisects ∠ ABD then ∠ DBE = ∠ ABE, thus

8x - 14 = 6x + 2 ( subtract 6x from both sides )

2x - 14 = 2 ( add 14 to both sides )

2x = 16 ( divide both sides by 2 )

x = 8

Thus ∠ ABE = 6x + 2 = 6(8) + 2 = 48 + 2 = 50°

(16)

Since BE bisects ∠ ABD then ∠ ABE = ∠ DBE = 12n - 8 and

∠ ABD = ∠ ABE + ∠ DBE, that is

22n - 11 = 12n - 8 + 12n - 8 = 24n - 16 ( subtract 24n from  both sides )

- 2n - 11 = - 16 ( add 11 to both sides )

- 2n = - 5 ( divide both sides by - 2 )

n = 2.5

Thus

∠ EBD = 12n - 8 = 12(2.5) - 8 = 30 - 8 = 22°

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A baseball has a 15 cm diameter what is the voulme of the contents of the ball
ddd [48]

Answer:

The answer is 1767.15cm^3

Step-by-step explanation:

The formula for finding the volume of a spherical object is 4/3(π)(r^3),where r is the radius of the object. But here only the diameter was given. And diameter=2(r), where r is radius.

So to find the radius, divide the diameter by 2. Since by making r the subject of the equation you get r=diameter/2.

Using the formula

4/3(π)(r^3)=(4π((15/2)^3))/3

=(4π(7.5^3)/3

=(4π(421.875))/3

Since π is 3.141592654

(4π(421.875))/3=1/3(4(3.141592654)(421.875))

=1/3(5301.437603)

=1767.145868

But I rounded off the answer to 2 decimal places and so I got 1767.14

7 0
3 years ago
Find the value of x.<br> NEED ANSWER ASAP WILL MARK BRAINLIEST!<br><br> L, M ∈ KN
noname [10]

Answer:

the value of x in this image is 38

Step-by-step explanation:

we know that the total angles of triangles are 180, so m is 180-84=96, and 180-134=46, when added we get 142, which means the last angle is 38

3 0
2 years ago
Read 2 more answers
8. A square has side length 6 inches. A parallelogram has a base of 6 inches,
wlad13 [49]

Answer:

The height is 6 inches.

Step-by-step explanation:

Area of the square = length of a side squared.

This square has area 6^2 = 36 in^2.

Area of the parallelogram =  base * height

= 6h.

As the areas are equal:

6h = 36

h = 36/6 = 6 inches.

6 0
3 years ago
The length of a paper clip chain is directly proportional to the number of paper clips. If a chain with 65 paper clips has a len
Ghella [55]

<u>Answer:</u>

The length of a paper clip chain is directly proportional to the number of paper clips. If a chain with 65 paper clips has a length of 97.5 inches then the length of chain with 14 paper clips is 21 inches.

<u>Solution:</u>

Given that the length of a paper clip chain is directly proportional to the number of paper clips. Directly propotional means when the length of paper clip increases, then the number of paper clips also increases in same ratio.

Hence, by above definition, we get  

\frac{l_{1}}{l_{2}} = \frac{n_{1}}{n_{2}}  ------- eqn 1

From question, for a chain with 65 paper clips has a length of 97.5 inches, we get  

l_{1} = 97.5 \text { and } n_{1} = 65

Similarly, for a chain with 14 paper clips with length to be found, we get  

n_{2}=14 \text { and } l_{2} = ?

Now by using eqn 1, we can calculate the length of 14 paper clips  is,

\frac{97.5}{65}=\frac{l_{2}}{14}

Rearranging the terms we get,

l_{2 }= \frac{97.5 \times 14}{65}

l_{2}=21 \text { inches }

Hence the length of chain with 14 paper clips is 21 inches.

3 0
3 years ago
-64=(2cos(pi/2)+2i sin(pi/2))^n..... n=??​
zvonat [6]

Answer:

The real solution is n=6.

Step-by-step explanation:

\cos(\frac{\pi}{2})=0 while \sin(\frac{\pi}{2})=1

So the equation becomes:

-64=(2(0)+2i(1))^n

-64=(0+2i)^n

-64=(2i)^n

We know that 2^6=64. So let's see what n=6 gives us:

(2i)^6=64i^6=64i^4i^2=64(1)(-1)=-64.

-64  is the result we wanted.

n=6 is therefore a solution.

4 0
3 years ago
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