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Rus_ich [418]
3 years ago
7

Can someone please help me on this simple geometry question

Mathematics
1 answer:
Elan Coil [88]3 years ago
6 0

Answer:

x=7

Step-by-step explanation:

The two lines indicate that it is an isosceles triangle. This means that the bottom two angles and lengths are the same.

To work this out you would first minus 104 from 180, this gives you 76. Then you would multiply 25 by 2, which gives you 50. This is because the angles are the same. Then you would add 50 to 76, which gives you 126. Then you would multiply 9 by 2, which gives you 18. This is because it is an isosceles triangle and the bottom two sides are the same. Then you would divide 126 by 18, which gives  you 7.

1) Minus 104 from 180.

180-104=76

2) Multiply 25 by 2.

25*2=50

3) Add 50 to 76.

50+76=126

4) Multiply 9 by 2.

9*2=18

5) Divide 126 by 18.

126/18=7

6) x=7

<u>Answer Checking:</u>

<u></u>

To check your answer you would work backwards. First you would multiply 7 by 18, which gives you 126. Then you would minus 50 from 126, which gives you 76. Then you would add 104 to 76, which gives you 180.

1) Multiply 7 by 18.

7*18=126

2) Minus 50 from 126.

126-50=76

3) Add 104 to 76.

104+76=180

<u>Because it is a triangle the internal angles all add up to 180. And so if your answer is 180 then the steps are correct.</u>

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5 0
3 years ago
Amy wants to sell at most 25 cookies and at least 10 sprites
Inga [223]

Answer:

x\leq 25\\y\geq 10\\.50x + y\geq 30

Step-by-step explanation:

It is given that,

Amy wants to sell at most 25 cookies ,

Let number of cookies be 'x' , then x should be less than or equal to 25

Which is represented by  x\leq 25 ,

Further,

Let number of sprites be 'y', then 'y' should be greater than or equal to  10

Which is represented by y\geq 10

Also,

Given,

she profits $.50 on every cookie

and $1.00 on every  sprite.

So total profit on selling cookies would be

= Profit on each cookie times the number of cookies

=.50\times x

=.5x

Similarly, total profit on selling sprites would be

=profit on each sprite times the number of sprites

=1.00\times y

=y

Now, combining these two should be greater than or equal to $30

representing this through an equation,

.50x+y\geq 30

Thus the sysytem of equations is given as:

x\leq 25\\y\geq 10\\.50x + y\geq 30

6 0
3 years ago
Brent is saving for a computer that is $840. He will also need to pay a 6% sales tax. What is the total cost of the computer aft
Kobotan [32]

Answer:

$890.4

Step-by-step explanation:

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5 0
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marin [14]

Answer:

97.98

Step-by-step explanation:

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Area of the parallelogram = |PQ×PS|

PQ = Q-P and PS = S-P

Given P(0,0,0), Q(4,-5,3), R(4,-7,1), S(8,-12,4)

PQ = (4,-5,3) - (0,0,0)

PQ = (4,-5,3)

Also, PS = S-P

PS = (8,-12,4)-(0,0,0)

PS = (8,-12,4)

Taking the cross product of both vectors i.e PQ×PS

(4,5,-3)×(8,-12,4)

PQ×PS = (20-36)i - (16-(-24))j + (-48-40)k

PQ×PS = -16i - 40j -88k

|PQ×PS| = √(-16)²+(-40)²+(-88)²

|PQ×PS| = √256+1600+7744

|PQ×PS| = √9600

|PQ×PS| ≈ 97.98

Hence the area of the parallelogram is 97.98

3 0
3 years ago
Is anyone able to explain how the answer is D?
noname [10]

Answer:

Step-by-step explanation:

There is theorem in this chapter which explains the answer

According to the theorem ,

/_rbd = 2 /_ rad

Therefore , rbd = 34 ° .

Hence , rad = 2x 34

Therefore , rad = 68°

3 0
3 years ago
Read 2 more answers
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