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3 years ago

7

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

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

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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

Find the angle BAD (pls)

Black_prince [1.1K]

Answer:

A. 82

hope it helps....

7 0

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)
<CDE = 120

answer
<CDE = 120°

6 0

4 years ago