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GrogVix [38]
3 years ago
15

Morton and Lyndal invested together in a new venture. Lyndal invested $500 more than Morton. If they invested $5000 together, ho

w many dollars did Morton invest?
Mathematics
1 answer:
Kaylis [27]3 years ago
8 0
Lyndal invested $3000 and Morton invested $2000
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Find the missing segment.
Bond [772]

Answer:

? = 7.

Step-by-step explanation:

The two triangles are similar because of the AA Theorem.

The larger triangle's side that is equal to 9 + 3 corresponds to the smaller triangle's side length of 9, while the larger triangle's 21 + ? side corresponds to the smaller triangle's 21 side. Now, we can set up a proportion!

\frac{9}{9+3} =\frac{21}{21 + ?}

\frac{9}{12} =\frac{21}{? + 21}

\frac{3}{4} =\frac{21}{? + 21}

\frac{1}{4} =\frac{7}{? + 21}

? + 21 = 7 * 4

? + 21 = 28

? = 28 - 21

? = 7

Hope this helps!

3 0
3 years ago
What is the product?
fredd [130]

Answer:

\frac{4k + 2}{k^{2}-4 }  ×  \frac{k-2}{2k+1}   =  \frac{2}{k + 2}

Step-by-step explanation:

\frac{4k + 2}{k^{2}-4 }  ×  \frac{k-2}{2k+1}

To solve the above, we need to follow the steps below;

4k+2 can be factorize, so that;

4k +2 = 2 (2k + 1)

k² - 4  can also be be expanded, so that;

k² - 4 = (k-2)(k+2)

Lets replace  4k +2  by  2 (2k + 1)

and

k² - 4 by  (k-2)(k+2)   in the expression  given

\frac{4k + 2}{k^{2}-4 }  ×  \frac{k-2}{2k+1}

\frac{2(2k+ 1)}{(k-2)(k+2)}   ×  \frac{k-2}{2k+1}

(2k+1) at the numerator will cancel-out (2k+1) at the denominator, also (k-2) at the numerator will cancel-out (k-2) at the denominator,

So our expression becomes;  

\frac{2}{k + 2}

Therefore, \frac{4k + 2}{k^{2}-4 }  ×  \frac{k-2}{2k+1}   =  \frac{2}{k + 2}

3 0
3 years ago
Read 2 more answers
I need help please and thank you
NemiM [27]

Answer:

7x-32=3

32+3= 35

7x=35

35/7

x=5

the answer is 5

Plz mark as brainliest

6 0
3 years ago
Read 2 more answers
The base of a regular pyramid is a hexagon
Readme [11.4K]

Answer:

Below in bold.

Step-by-step explanation:

The hexagon is made up of 6 equilateral triangles.

So the Base = 12 cm.

Height a = 12 cos 30 = 10.392 cm

So area of 1 triangle =  1/2 * 12 * 10.392 cm^2

- and total area =  6 *  1/2 * 12 * 10.392

= 36 * 10.392

= 374.11 cm^2 to the nearest hundredth.

7 0
2 years ago
Allan and Robert are viewing a kite in the air. The kite
bogdanovich [222]

tan \: a =  \frac{opp}{adj} =  \frac{205}{adj}

adj =  \frac{205}{ \tan(35) }

adj = 292.7703414

//

tan \: r =  \frac{opp}{adj} =  \frac{205}{adj}

adj =  \frac{205}{ \tan(51) }

adj = 166.0057268

//

292.7703414 + 166.0057268

= 458.7760682 \: ft.

<em>round</em><em> </em><em>as</em><em> </em><em>you</em><em> </em><em>wish</em><em>.</em>

5 0
2 years ago
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