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podryga
2 months ago
11

Points H and F lie on circle C. Circle C is shown. Line segments E C, F C, and D C are radii. Tangents E G and D G intersect at

point D outside of the circle. A line is drawn to connect points F and G. The length of G E is 12 and the length of E C is 9. Angles E and D are right angles. What is the length of line segment GH? 3 units 4 units 5 units 6 units
Mathematics
2 answers:
tester [12.3K]2 months ago
8 0
The outcome is 6 units.
PIT_PIT [12.4K]2 months ago
6 0
The answer in education is 6 units.
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Bob's bill for dinner at surefire steak house was $45. In addition he piad 5°\° of the bill in tax and he left a tip for 15°\° o
tester [12383]

Response:

$54

Detailed steps to explanation:

Initially

45 multiplied by.05 equals 2.25

Next

45 added to 2.25

Following that

45 multiplied by.15 equals 6.75

Finally

45 plus 2.25 plus 6.75

5 0
2 months ago
A) A local shoe store buys shoes at a wholesale price and then marks them up 80% to calculate the retail price. The wholesale pr
PIT_PIT [12445]
In this scenario, the buying price decreases with a higher purchase quantity. However, the markup for the retail price remains steady at 80% of the buying cost. If we denote the price as x, then the retail price can be expressed as:
Retail price= x * (100%+80%)
Retail price= x * 180%=
Retail price= 1.8 x

The equation remains consistent across different ranges since the markup ratio is constant. Only the buying price varies depending on how many pairs of shoes are bought. 
4 0
1 month ago
A triangle drawn on a map has sides that measure 15 cm, 8 cm, and 10 cm. The shortest of the corresponding real-life distances i
Inessa [12570]

Establish a proportion.

8/127=15/x

Cross multiply

8x=1,905

Divide each side by 8

x=238.125

The greatest of the actual distances is 238.125 km.

Hope this clarification helps:)

5 0
2 months ago
An in-ground pond has the shape of a rectangular prism. The pond has a depth of 24 inches and a volume of 72,000 cubic inches. T
babunello [11817]
Let
denote the length of the pond and <span> signify its width. It's recognized that the pond's volume equals the area of its base multiplied by its depth. In this case, the base area can be computed as volume divided by depth, equating to 72000 in³ divided by 24 in, resulting in an area of 3000 in². Given that the area is expressed as x multiplied by y, we come to equation 1, 3000 = x * y. If we have x = 2y, we substitute this into equation 1, leading to 3000 = (2y) * y, simplifying to 2y² = 3000 and consequently y² = 1500, giving y = 38.7 in. Thus, x = 2y yields x = 2 * 38.7 = 77.4 in. The conclusion is that the pond's length is 77.4 in while its width is 38.7 in. </span>
5 0
1 month ago
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