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Anton [14]
3 years ago
8

Study the Proof Given.

Mathematics
1 answer:
andrezito [222]3 years ago
3 0
Given that B is the midpoint of line AC and line BC is congruent to line DE.

The following statements and reasons, proves that line AB is congruent to line DE.

     Statement                                                   Reasons

1.  B is the midpoint of line AC                        Given
2.  Line AB is congruent to line BC.                 Midpoint of a line segment
3.  Line BC is congruent to line DE                  Given
4.  Line AB is congruent to line DE                  Transitive property
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Point A is located at (3,4) and is rotated 90 degrees counterclockwise about the origin. What is the new point of A?
sineoko [7]

A'(- 4, 3 )

Under a counterclockwise rotation about the origin of 90°

a point (x, y ) → (- y, x )

A(3, 4 ) → A'(- 4, 3 )


5 0
3 years ago
10 pt
lord [1]

Answer:

C. 434π

Step-by-step explanation:

Given:

Radius (r) = 7 in.

Height (h) = 24 in.

Required:

Surface area of the cylinder

Solution:

S.A = 2πrh + 2πr²

Plug in the values

S.A = 2*π*7*24 + 2*π*7²

S.A = 336π + 98π

S.A = 434π

5 0
2 years ago
Here is the final problem jaded
lana [24]

Answer:

x = 12.99

Step-by-step explanation:

Tan(33) = \frac{x}{20}

Tan(33) * 20 = x

12.99 = x

Hope this helps!

7 0
3 years ago
Now Cathy is three times as old as Katie. In six years Cathy will be only twice as old as Katie. How old is each girl now?
BabaBlast [244]
Katie is 6; Cathy is 18!

X- Katie’s age now and 3x -Cathys age now
In 6 years, Katie is 12 and Cathy is 24.

2 x (X+6) = 3x + 6
2x + 12 = 3x + 6
6 = x
6 0
3 years ago
today a boat valued at $45,000.Thebvalue is expected to decrease at a rate of 8.5% each year.What is the value of the boat expec
Stels [109]

Current value of the boat = $45000

Rate at which the value decrease = 8.5%

Value decreased after 1 year = \frac{8.5}{100}\times45000=3825

Hence, value becomes = 45000-3825=41175

Value decreased after 2nd year =

\frac{8.5}{100}\times41175=3499.875

Hence, value becomes = 41175-3499.875=37675.125

Value decreased after 3 year =

\frac{8.5}{100}\times37675.125=3202.385

Hence, value becomes = 37675.125-3202.385=34472.74

So, value of the boat after 3 years becomes $34472.74

3 0
3 years ago
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