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Ivahew [28]
3 years ago
10

Prove that a line parallel to one side of a triangle divides the other two sides proportionally. Be sure to create and name the

appropriate geometric figures. (10 points)
WILL GIVE BRAINLIEST IF CORRECT

Mathematics
1 answer:
ryzh [129]3 years ago
7 0

Answer:

in steps

Step-by-step explanation:

DE // BC

m∠ADE = m∠ABC   and m∠AED = m∠ACB

∴ ΔADE similar to ΔABC

AB/AD = AC/AE

(AD + DB) / AD = (AE + EC) / AE

AD/AD + DB/AD = AE/AE + EC/AE

1 + DB/AD = 1 + EC/AE

DB/AD = EC/AE    (AD/DB = AE/EC)

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Precal : Note: Triangle may not be drawn to scale. Suppose a = 3 and A = 15 degrees
drek231 [11]

Given:

In a right triangle at B,

\begin{gathered} a=3 \\ A=15^{\circ} \end{gathered}

To find:

The length of the sides b and c and angle B.

Explanation:

Using the trigonometric ratio,

\begin{gathered} sinA=\frac{a}{c} \\ \sin15^{\circ}=\frac{3}{c} \\ c=\frac{3}{\sin15^{\circ}} \\ c=11.59 \\ c\approx11.6 \end{gathered}

Using the trigonometric ratio,

\begin{gathered} \tan A=\frac{a}{b} \\ \tan15^{\circ}=\frac{3}{b} \\ b=\frac{3}{\tan15^{\circ}} \\ b=11.19 \\ b\approx11.2 \end{gathered}

Using the angle sum property,

The angle B becomes,

\begin{gathered} 90+15+B=180 \\ B=180-90-15 \\ B=75^{\circ} \end{gathered}

Final answer:

The values are,

\begin{gathered} b=11.2 \\ c=11.6 \\ B=75^{\circ} \end{gathered}

3 0
1 year ago
Question in attachment​
valkas [14]

Answer:

Hey Dude....

Step-by-step explanation:

This is ur answer.....

<h3><em>(a) Six</em></h3><h3><em>(a) Six(b) 120</em></h3><h3><em>(a) Six(b) 120(c) 720</em></h3>

Hope it helps!

Brainliest pls!

Follow me! :)

7 0
2 years ago
PLEASE HELP !! ILL GIVE BRAINLIEST !!
kiruha [24]

Answer:the first one opn and qps

Step-by-step explanation:

8 0
2 years ago
The total snowfall in Burke, Virginia, this January was 7 1/4 in. In February, 20% more snow fell than in January.
Elis [28]
I think the answer is 7 2/9
7 0
3 years ago
Read 2 more answers
If the distribution is really N ( 5.43 , 0.54 ) , N(5.43,0.54), what proportion of observations would be less than 5.05 ? 5.05?
Ipatiy [6.2K]

Answer:

P(X

And we can use the following excel code to find the answer: "=NORM.DIST(-0.704,0,1,TRUE)"

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable of interest for a population, and for this case we know the distribution for X is given by:

X \sim N(5.43,0.54)  

Where \mu=5.43 and \sigma=0.54

We are interested on this probability

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X

And we can find this probability on this way:

P(Z

And we can use the following excel code to find the answer: "=NORM.DIST(-0.704,0,1,TRUE)"

6 0
3 years ago
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