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Alex787 [66]
3 years ago
7

Given: Ray CR bisects ∠TCU. Which angles in the diagram must be congruent?

Mathematics
1 answer:
pickupchik [31]3 years ago
8 0
Since ray CR is a bisector, then your answer is A.
Angles TCR and UCR are equal.
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Using the Pythagorean theorem what is the distance between (5,-3) and (9,1)
polet [3.4K]

Step-by-step explanation:

Distance between (5,-3) and (9,1)=√(9-5)^2+(1-(-3))^2

=√4^2+4^2

=√16+16

=√32 units

It's not possible to calculate the distance between these points by pythagoras theorem .We can easily calculate it by distance formula I.e.√(x2-x1)^2+(y2-y2)^2

7 0
3 years ago
The estimated number of organisms in a population after t days is shown in the table below. t days estimated number of organisms
Lelu [443]

Answer:

The function n=591.68(1.2056)^t best models the situation.

Step-by-step explanation:

The values in the table do not lie over a straight line because their slope is not a constant; for example

m_1=\frac{1250=860}{4-2} =195

m_2=\frac{1850-1250}{2}=275

we see here that m_1\neq m_2 therefore a linear equation cannot represent this situation.

The values in the table are increasing exponentially , therefore the equation modeling the situation will be of the form:

n=ab^t

we take two points from the table for evaluating a and b namely points (2,860) and (4,1250)

thus we have

(1). 860=ab^2

(2).1250=ab^4

From equation (1) we solve for a:

a=\frac{860}{b^2}

and put this value into equation (2)

1250 =\frac{860}{b^2}b^4

b^2=\frac{1250}{860}

\boxed{b=1.2056}

with this value b , we solve for a in equation (1):

860=a(1.2056)^2

a=\frac{860}{(1.2056)^2}

\boxed{a=591.68}

Thus we have the equation

\boxed{n=591.68(1.2056)^t}

8 0
4 years ago
Read 2 more answers
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Black_prince [1.1K]

Answer:

A. 82

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3 years ago
Fill in the missing Statement and Reason blanks for the two-column proofs.
Lyrx [107]
The two column reason statement is 4 and 5
3 0
3 years ago
Secants BE and CF intersect at point D inside A. What is the measure of CDE?
Aleks04 [339]
MCE = 360 - (150 + 70 + 50)
mCE = 360 - 270
mCE = 90

<CDE = 1/2(mBE + mCE)
<CDE = 1/2(150 + 90)
<CDE = 1/2(240)
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answer
<CDE = 120°
6 0
4 years ago
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