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Serjik [45]
3 years ago
12

anyone help if you guys help me the next question i will give u more points the screenshot is attached below

Mathematics
1 answer:
Zolol [24]3 years ago
4 0

Answer:

69°

Step-by-step explanation:

To obtain the value of w, we must first obtain the value y as shown in the attached photo.

The value of y can be obtained as follow:

y + (w + 37) = 180 (sum of angle on a straight line)

y + w + 37 = 180

Make y the subject by rearranging

y = 180 – 37 – w

y = 143 – w

Finally, we shall determine the value of w as follow:

w + (w – 32) + y = 180 (sum of angles in a triangle)

y = 143 – w

w + (w – 32) + (143 – w) = 180

w + w – 32 + 143 – w = 180

Rearrange

w + w – w – 32 + 143 = 180

w + 111 = 180

Collect like terms

w = 180 – 111

w = 69°

Therefore, the value of w is 69°

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A notary receives $ 3500 for elaborating a title property and $2000 for the constitutive act of an enterprise. In a month did a
Andrew [12]

Answer:

6 titles and 16 acts were elaborated

Step-by-step explanation:

Let the number of titles be t and the number of acts be a

Since the total is 22 operations:

a + t = 22 •••••••(i)

Total amount from titles = 3500 * t = 3500t

Total amount from acts = 2000 * a = 2000a

2000a + 3500t = 53,000 ••••••(ii)

From i, a = 22-t

Insert this in ii

2000(22-t) + 3500t = 53,000

44,000 - 2000t + 3500t = 53,000

1,500t = 53000-44000

1500t = 9000

t = 9000/1500

t = 6

But a = 22 -

= 22-6 = 16

5 0
3 years ago
Three friends decide that they each want to be able to buy a new bike in four years.IIiana puts $500 in a savings account with a
Lisa [10]

Answer:

Iliana will have the most money, with a total of $580

Step-by-step explanation:

We can find the amount of money that each one will have using the formulas of interest:

For Iliana and Joann, simple interest: Total money = P + P*r*t

For Cyndy, compound interest: Total money = P*(1+r)^t

So, using the time of four years, we can calculate the total money of each one:

Iliana: P = 500 and r = 0.04:

Total money = 500 + 500*0.04*4 = $580

Joann: P = 515 and r = 0.03:

Total money = 515 + 515*0.03*4 = $576.8

Cyndy: P = 500 and r = 0.035:

Total money = 500*(1+0.035)^4 = $573.7615

So Iliana will have the most money, with a total of $580

6 0
2 years ago
Read 2 more answers
A baseball field has four bases that form the shape of a quadrilateral. If someone invented a new game similar to baseball that
Digiron [165]
The bases would form into a pentagon so A.
6 0
3 years ago
The altitude of an airplane
kirill [66]

Answer:

it depends

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Find the value of x in the given statement. The diagram is not to scale.
Evgen [1.6K]
Step One
Find RST
The two base angles are given as equal and one of the is 28. So is the other one.
SRT = 28
STR = 28
All triangles have interior angles that add up to 180 degrees.

RST + SRT + STR = 180
28 + 28 + RST = 180
56 + RST = 180 Subtract 56 from both sides.
RST = 180 - 56
RST = 124

Step two
Find the exterior angle
The exterior angle = Sum of the two remote interior angles (RST + SRT)
The exterior angle = 28 + 124
The exterior angle = 152

Step Three
Find the value of x
2*x = 152 Divide by 2
x = 152 / 2
x = 76

There is a quicker way of finding the exterior angle. I didn't see it until I had written step two.
The exterior angle + STR = 180 degrees. They are supplementary.
The exterior angle + 28 = 180
The exterior angle = 180 - 28
The exterior angle = 152


3 0
3 years ago
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