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3 years ago

Find the measure of FEG 25,65,80,90

Mathematics

1 answer:

lozanna [386]3 years ago

7 0

Answer:

First, you have to set 5x equal to (3x+10). They are vertical angles and therefore congruent.

5x = 3x+10 The variable should only be on one side of the equation,

5x - 3x = 10 Therefore subtract 3x from both sides

2x = 10 Divide by 2 on both sides.

x = 5

We're not done yet, since we've found the x-value we have to solve for ∠GEC.

∠GEC = 3x+10 = 3(5)+10 = 15+10 = 25°

∠GEC and ∠FEG form a right angle. This means that the sum of the two angles is 90°

90° = 25° + x In this case, we're using "x" to solve for ∠FEG

90-25 = x We subtract 25 from both sides to get the variable by itself.

65° = x

∠FEG = 65° The Answer is B

Step-by-step explanation:

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What is the difference of 13.2 - 6.56

vichka [17]

Answer:

6.64

Step-by-step explanation:

Subtract : 13.2 - 6.56

13.2(0)

-6.56

----------

6.64

8 0

3 years ago

Read 2 more answers

Alexandra purchases two donuts and three cookies at the donut shop and it's charged $3.30. Brianna purchases five donuts and two

Amiraneli [1.4K]

Given:

Cost of two donuts and three cookies = $3.30

Cost of five donuts and two cookies = $4.95

To find:

The cost of each donut.

Solution:

Let x be the cost of each donut and y be the cost of each cookie.

Cost of two donuts and three cookies = $3.30

$2x+3y=3.30$ ...(i)

Cost of five donuts and two cookies = $4.95

$5x+2y=4.95$ ...(ii)

Multiply equation (i) by 2.

$4x+6y=6.60$ ...(iii)

Multiply equation (ii) by 3.

$15x+6y=14.85$ ...(iv)

Subtracting (iii) from (iv), we get

$15x+6y-4x-6y=14.85-6.60$

$11x=8.25$

Divide both sides by 11.

$x=\dfrac{8.25}{11}$

$x=0.75$

Therefore, the cost of each donut is $0.75.

7 0

3 years ago

At 8:00 am the smiths left a camp ground, driving at 48 mi/h. At 8:20 am the Garcia's left the same campground and followed the

Fantom [35]

Answer:

9:40 am

Step-by-step explanation:

Let time taken from when Smith left compound to when Garcia overtakes Smith's car be represented by y

After y hours, Smith has covered 48*y=48y miles

Similarly, due to a difference of 20 minutes which is 20/60=1/3 hours, Garcia moves a distance of

60(y-1/3)

Equating both distances to be the same

60y-20=48y

12y=20

y=20/12=5/3 hours

Converted to minutes

5/3*60=100 minutes= 1 hr 40 mins

Therefore, adding 100 minutes to to starting time of Smith

8:00+1:40=9:40 am

The time that Garcia overtakes Smith is 9:40am

3 0

3 years ago

Find a average daily rainfall for a 30 days month if the total rainfall during that period was 16.8 inches.

max2010maxim [7]

Average = 0.56 inches

Solution:

Given data: Total rainfall = 16.8 inches

Total number of days for a month = 30

To find the average of the rainfall.

Formula for average:

$\text {Average}=\frac{\text {Sum of the observations}}{\text {Total number of observations}}$

$\text {Average}=\frac{16.8}{30}$

= 0.56 inches

Average = 0.56 inches

Hence, average of daily rainfall is 0.56 inches.

8 0

3 years ago

Tell whether each statement is a proportion:

erma4kov [3.2K]

Answer:

1. Yes

2. No

3. No

4. No

5. Yes

Step-by-step explanation:

Do you mean equal proportion?

1. 3 : 9 = 6 : 18 TRUE because 3 : 9 = 1 : 3 and 6 : 18 = 1 : 3

2. 28 : 7 = 64 : 16 FALSE because they are just not related.

3. 95 : 100 = 17 : 20 FALSE because the closest they get are 19 : 20 ≠ 17 : 20

4. 60 : 80 = 14 : 16 FALSE because the closest they get are 60 : 80 = 6 : 8 and 14 : 16 = 7 : 8

5. 200 : 300 = 24 : 36 TRUE because 200 : 300 = 2 : 3 and 24 : 36 = 2 : 3

6 0

3 years ago