All categories

3 years ago

Can anyone help me with this All of them

Mathematics

1 answer:

Svetllana [295]3 years ago

4 0

Answer:

Hence x = 60 and y = 50

e = 85 degrees

f = 158 degrees

Step-by-step explanation:

1) The sum of the interiror angle of the triangle is equal to the exterior

Given

Interior angles = y and 70

Exterior angle = 120 degrees

According to the law;

y + 70 = 120

y = 120-70

y = 50°

Sum of angle in the triangle is 180

x + y + 70 = 180

x + 50 + 70 = 180

x + 120 = 180

x = 180-120

x = 60

Hence x = 60 and y = 50

2) The sum of angles on a straight line is 180 degrees

40 + 55 + e = 180

95 + e = 180

e = 180 - 95

x = 85 degrees

3) Sum of angle at a point is 360 degrees

Hence 130 + 36.8 + 35.2 + f= 360

130 + 72 + f = 360

202 + f = 360

f = 360 - 202

f = 158 degrees

You might be interested in

A company has 200 employees. The company’s owner randomly chose 30 employees for an in-depth survey. Of those surveyed, 12 emplo

andrey2020 [161]

(this shows the percent of people that would work over time on a regular basis out of the 30 people) 12/30= (40%) of the 30 said they would work overtime.

200×.4=80 employees of the 200 would have probably have said they would work overtime.

8 0

3 years ago

Justify each step used to simplify the expression. 1. 3x+ 2y− 2x+ 2 = 3x− 2x+ 2y+ 2

Sergio [31]

Step-by-step explanation:

We have to simplify the given expression:

1. 3x+2y-2x+23x+2y−2x+2

Combining the like terms,we get the second step as

2. (3x-2x)+(2y)+(2)(3x−2x)+(2y)+(2)

Now, taking 'x' common from the first two terms, we get third step as:

3. (3-2)x+2y+2(3−2)x+2y+2

Now, simplifying the expressions among the like terms, we get fourth step as:

4. x+2y+2x+2y+2

7 0

3 years ago

A 30-60-90 triangle has a short leg of 6. What is the length of the long leg?

lutik1710 [3]

Answer:

6√3

Step-by-step explanation:

4 0

3 years ago

A started some business with RS 26,000. After 3 month B joined him with Rs. 16,000. After some more time C joined them with Rs.

viktelen [127]

Answer:

$3$ $months$

Step-by-step explanation:

We know that the total investment period is 1 year, then since A started, A invested Rs 26,000.

Now, since A has been working for 12 months, this is where the effective investment comes in:

A effective investment = Rs 312,000

Then after 3 months, B joined, so:

12 months - 3 months = 9 months in work

B overall invested = Rs 16,000

Since B only worked nine months, we use that to find effective investment:

B effective investment = Rs 144,000

C joined x months since B joined in:

We don't know how much C worked for, but we know that C joined after B:

C investment period = 9 months - x certain amount of months

We know that C's investment is Rs 25,000

Find effective investment:

Rs 25,000 * ( 9 - x ) = Rs 225,000 - 25,000x then to find the total investment:

Add all effective investment:

Rs 312,000 + Rs 144,000 + Rs 225,000 - 25,000x

= Rs 681000 - 25,000x

We now know that C's investment is 225,000 - 25,000x

Find profit share: 225,000 - 25,000x

==> Rs 3,825

The total profit:

Rs 15,453

To get our final answer, we must do this operation:

C investment divided by Total Investment = C's profit and total profit:

( Rs 225,000 - 25,000x) ÷ ( Rs 681,000 - 25,000x ) = Rs 3,825 / Rs 15,453

25 ( Rs 9,000 - 1,000x)/(Rs 681,000 - 25,000x) = (153 * 25) /(153 * 101)

( Rs 9,000 - 1,000x ) ÷ ( Rs 681,000 - 25,000x ) = 1 / 101

Rs 909,000 - 101,000x = Rs 681,000 - 25,000x

Rs 228,000 = 76,000x

Rs 228 = 76x

x = 3

8 0

4 years ago

61 meters = _____ feet I'LL GIVE BRAINLIEST!

lilavasa [31]

Answer:

200.131234

Step-by-step explanation:

8 0

3 years ago