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Murljashka [212]
2 years ago
8

given triangle abc is similar to triangle efg, with medians cd and gh respectively, ac=9, eg=6, cd=x+2, gh=2x-4. find the length

of cd
Mathematics
1 answer:
Leno4ka [110]2 years ago
3 0

Answer:

X= 9//

Step-by-step explanation:

abc = efg

ac + cd = eg + gh

9 + (x+2) = 6 + (2x-4)

9 - 6 = 2x-4 - (x+2)

3 = x - 6

3+6 = x

9 = x//

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levacccp [35]
B² = 8b + 84
b² - 8b - 84 = 0
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                       2(1)<u>
</u>b = <u>8 +/- √(64 + 336)</u>
                   2
b = <u>8 +/- √(400)
</u>               2<u>
</u>b = <u>8 +/- 20
</u>            2
b = 4 <u>+</u> 10
b = 4 + 10          b = 4 - 10
b = 14                b = -6
<u />
4 0
3 years ago
What is the value of the following expression?2 x [(12 + 2) x 5] + 32 divided by 2 number on top right 3
a_sh-v [17]

The value of the expression is 141.5

Explanation:

The expression is $2 \times[(12+2) \times 5]+\frac{3}{2}$

The value of the expression can be determined using the rule PEMDAS.

According to the PEMDAS rule, first we need to perform the operation which is within the parenthesis.

Thus, the expression becomes,

$2 \times(14 \times 5)+\frac{3}{2}$

Multiplying the values within parenthesis, we have,

$2 \times70+\frac{3}{2}$

Using PEMDAS, we need to multiply the numbers.

$140+\frac{3}{2}$

Again using PEMDAS rule, divide the number,

140+1.5

Finally, using PEMDAS, let us add the values, we have,

141.5

Thus, the value of the expression is 141.5

7 0
3 years ago
On a journey of 600 km, a train was delayed 1 hour and 30 min after having covered 1/4 of the way. To arrive on time at the dest
Sati [7]

Answer:

10 hours

Step-by-step explanation:

(150/x) + 1.5 + (450/(x+15)) = 600/x

Multiply through by x(x + 15):

150(x + 15) + 1.5x(x + 15) + 450x = 600(x + 15)

150x + 2250 + 1.5x^2 + 22.5x + 450x = 600x + 9000

150x + 2250 + 1.5x^2 + 22.5x + 450x - 600x - 9000 = 0

1.5x^2 + 22.5x - 6750 = 0

x = (-22.5 +/- sqrt(22.5^2 - 4(1.5)(-6750))) / (2*1.5)

x = (-22.5 +/- sqrt(506.25 + 40500)) / 3

x = (-22.5 +/- sqrt(41006.25)) / 3

x = (-22.5 +/- 202.5) / 3

x = 180/3 or -225/3

x = 60 or -75

But a negative number doesn't make sense, so therefore x = 60, so the journey took 600/60 = 10  hours.

6 0
3 years ago
Together, two people earn $28,000. One earns $2,000 more than the other. How much is the smaller income?
Inessa [10]
Look at this:

2x+$2,000=$28,000
2x=$28,000-$2,000
2x=$26,000
x=26,000 divided by 2
x=$13,000

3 0
3 years ago
Read 2 more answers
UJUU J
Stels [109]

Answer:

Plese read the complete procedure below:

Step-by-step explanation:

The polynomial is p(a) = (a^4 - 6a^3 + 3a^2 + 26a – 24)

a)

1   -6   3   26   -24    |<u>  1     </u>

<u>      1   -5   -2    24</u>

1   -5   -2   24    0

The remainder is zero, then (a-1) is a factor of the polynomial

b)

1   -6   3   26   -24    |<u>  2     </u>

<u>      2  -8   10    72</u>

1   -4   5   36    48

When p(a) is divided by (a-2) the remainder 28/p(a)

1   -6   3   26   -24    |<u> - 4     </u>

<u>    -4  40  172  -792</u>

1   -10  43  198  -816

When p(a) is divided by (a-2) the remainder -816/p(a)

c) I attached an image of the long division below:

3 0
3 years ago
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