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inysia [295]
3 years ago
14

)Line CP is a perpendicular bisector to line segment AB. If

Mathematics
1 answer:
Nina [5.8K]3 years ago
3 0

Answer:

Step-by-step explanation:

Line CP is a perpendicular bisector to line segment AB

if

two congruent lines are formed when AB is intersected ( bisector forms two equal in measure and congruent parts)

and

a right angle is formed between the line CP and AB ( perpendicular lines form right angles.)

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Find the slope and reduce.<br> P=(-3, -4) Q=(5, -1)<br> ?<br> Slope =<br> Enter
arsen [322]

Answer:

Slope is 3/8

Step-by-step explanation:

( -1 + 4)/ (5 + 3)

3/ 8

8 0
4 years ago
Steven has a rectangular rug with a perimeter of 16 feet. The width of the rug is 5 feet.What is the length of the rug
Ipatiy [6.2K]
The Length would be 3

5+5= 10
16-10 =6 / 2 =3

5 0
3 years ago
Every year, a town surveys the size of its wetland ecosystems. This equation estimates the total wetland area, in acres, over ti
nignag [31]

Answer:

When t=10, the town is predicted to have around 443 acres of wetlands.

At one time, the town had 740 acres of wetlands.

The wetland area in the town decreases by 5% per year.

Step-by-step explanation:

Given

f(t) = 740 * (0.95)^t

Required

The true statements

(a)\ f(10) = 443

We have:

f(t) = 740 * (0.95)^t

Substitute 10 for t

f(10) = 740 * (0.95)^{10

f(10) = 443

<em>Hence, (a) is true</em>

(b)\ f(t) = 740

We have:

f(t) = 740 * (0.95)^t

Substitute 740 for f(t)

740 = 740 * (0.95)^t

Divide through by 740

1 = 0.95^t

Express 1 as 0.95^0

0.95^0 = 0.95^t

Cancel out the bases

0 = t

t = 0

Hence, the area had 740 acres initially;

(b) is true

(c)\ r = 5\%

We have:

f(t) = 740 * (0.95)^t

Using the general formula

f(t) = a * b^t

By comparison:

b = 0.95

0.95 < 1 means that:

b = 1 - r --- where r = rates

0.95 = 1 - r

Collect like terms

r = 1 - 0.95

r = 0.05

Express as percentage

r = 5\%

Hence, (c) is true

(d)\ f(10) = 492

In (a)

f(10) = 443

Hence, (d) is false

(e)\ r = 95\%

In (c)

r = 5\% ---- decrement

Hence, (e) is incorrect

5 0
3 years ago
What is the expression of “the sum of n and the sum of 8 and 6?”
trapecia [35]

Answer:

n+8+6

Sum means = and and means + so n+8+6

7 0
3 years ago
Help, this is a course challenge
tankabanditka [31]

Answer:

Step-by-step explanation:

                    Statements                         Reasons

1. m∠BAC = m∠DAC = 51°                 1). Given

2. AB = AD = 4                                  2). Given

3. AC = AC                                        3). Segments are the same length as

                                                              themselves.

4. ΔABC ≅ ΔADC                            4). Side - Angle - Side property of

                                                             congruence.

8 0
3 years ago
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