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3 years ago

Use the figure below to complete the following problem. Given: R, S, T are midpoints of AC, AB, and CB. RS = ???

Mathematics

2 answers:

kati45 [8]3 years ago

5 0

Let points R, S, T be the midpoints of segments AC, AB, and CB.

Triangle midline theorem states that the line segment connecting the midpoints of two sides of a triangle is parallel to and half the length of the third side.

Thus, the midline RS (where R is a midpoint of AC and S is the midpoint of AB) is parallel to BC and is half the length of the side BC:

$RS=\dfrac{1}{2}BC.$

Answer: correct choice is A

wlad13 [49]3 years ago

3 0

Answer:

answer 1/2 CB

Step-by-step explanation:

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Caroline puts $400 into a savings account that earns 6% annually. Write a function that represents this situation, where t is th

DaniilM [7]

Answer: 19 years

Step-by-step explanation:

Given

Amount invested $\$400$

Rate of interest $R=6\%$

after 1-year amount becomes

$A=400\left (1+6\%\right)\\A=400\left (1+0.06\right)\\A=400\times 1.06\\A=\$424$

After n years it is

$A=400\left (1.06\right)^n$

Sum accumulated is $\$1200$

$\Rightarrow 1200=400\left(1.06\right)^n\\\Rightarrow 3=\left(1.06\right)^n\\\text{Taking log both sides}\\\Rightarrow n=\dfrac{\ln 3}{\ln 1.06}\\\\\Rightarrow n=18.85\approx 19\ \text{years}$

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3 years ago

50 POINTS!!!!! PLEASE WILL MARK BRAINLIEST

kirill [66]

Answer:

Q11 - 12 sides
Q12 - 10 sides

Step-by-step explanation:

<u>Use the formula for sum of interior angles of a regular polygon:</u>

S = 180(n - 2)

<u>Each angle A measures:</u>

S/n = 180(n - 2)/n
A = 180(n - 2)n
An = 180n - 360
(180 - A)n = 360
n = 360/(180 - A)

<h3>Question 11</h3>

<u>Each angle is 150, then finding n:</u>

n = 360/(180 - 150)
n = 360/30
n = 12

<h3>Question 12</h3>

<u>Each angle is 144, find n:</u>

n = 360/(180 - 144)
n = 360/36
n = 10

3 0

3 years ago

Read 2 more answers

3. Find two possible lengths for CD if C, D, and E

Kaylis [27]

Given :

C, D, and E are col-linear, CE = 15.8 centimetres, and DE= 3.5 centimetres.

To Find :

Two possible lengths for CD.

Solution :

Their are two cases :

When D is in between C and E .

. . .

C D E

Here, CD = CE - DE

CD = 15.8 - 3.5 cm

CD = 12.3 cm

When E is in between D and C.

. . .

D E C

Here, CD = CE + DE

CD = 15.8 + 3.5 cm

CD = 19.3 cm

Hence, this is the required solution.

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3 years ago

An ulcer patient has been told to avoid acidic foods. If he drinks coffee, with a pH of 5.0, it bothers him, but he can tolerate

kirill [66]

The equation should look like :
[H+] = (1-a)(x) + (a)(y)
Where:
5.8 = -log [H+]
5.0 = -log x
6.9 = -log y
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<span>a = proportion of y
so calculating a will give you the result of how many ounces are required</span>

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3 years ago

Use long division to find the value of 1,875÷15.

SashulF [63]

Answer:

125

Step-by-step explanation:

1875 / 15 = 125

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K