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qwelly [4]
3 years ago
7

Find the missing length

Mathematics
2 answers:
SVEN [57.7K]3 years ago
7 0

The\: missing\: length\: is\: 5

leonid [27]3 years ago
4 0

Answer:

? = 5

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

\frac{21}{7} = \frac{15}{x} ( cross- multiply )

21x = 105 ( divide both sides by 21 )

x = 5

That is ? = 5

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Daniel’s basketball team won 24 games and lost 8 games. Express the ratio of wins to losses in simplest form.
posledela

Answer:

3:1

Step-by-step explanation:

24:8 can both be divided by 8, 24/8 = 3, 8/8 = 1, making the ratio

3:1 ,

hope i helped!

7 0
3 years ago
Solving quadratic equations with complex solutions x2 + 4x + 8 = 0.
Daniel [21]

Answer:

\large\boxed{x=-2\pm2i}

Step-by-step explanation:

x^2+4x+8=0\qquad\text{subtract 8 from both sides}\\\\x^2+4x+8-8=0-8\\\\x^2+2(x)(2)=-8\qquad\text{add}\ 2^2\ \text{to both sides}\\\\x^2+2(x)(2)+2^2=-8+2^2\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\(x+2)^2=-8+4\\\\(x+2)^2=-4\iff x+2=\pm\sqrt{-4}\\\\x+2=\pm\sqrt{(4)(-1)}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\x+2=\pm\sqrt4\cdot\sqrt{-1}\qquad\text{use}\ \sqrt{-1}=i\\\\x+2=\pm2\cdot i\qquad\text{subtract 2 from both sides}\\\\x=-2\pm2i

4 0
3 years ago
240 fl oz =how many c?
Lady_Fox [76]
30 cups, because, 1 fl oz equals 0.125 cups, I hope this helped! :)
8 0
3 years ago
Find the perimeter of the rectangle whose adjacent sides are 3x-5y-4z and x-3y+5z
Kazeer [188]
<h3>♫ - - - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ♫</h3>

➷ I'm assuming the answer is to be left in algebraic form.

Perimeter = length + length + width + width or (2 x length) + (2 x width)

Substitute the values in:

Perimeter = 2(3x - 5y - 4z) + 2(x - 3y + 5z)

Simplify:

Perimeter = 6x - 10y - 8z + 2x - 6y + 10z

Perimeter = 8x - 16y + 2z <== this is the answer

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

6 0
3 years ago
In △PKQ, PK = KQ = 12, m∠P = 35º. Find PQ.
Neporo4naja [7]

The length of PQ is 19.66 units

Step-by-step explanation:

The given is:

1. PK = KQ = 12

2. m∠P = 35º

We need to find the length pf PQ

∵ PK = KQ

∴ m∠P = m∠Q

∵ m∠P = 35°

∴ m∠Q = 35°

The sum of measures of the angles of a triangle is 180°

∴ m∠P + m∠Q + m∠K = 180°

∴ 35 + 35 + m∠K = 180

∴ 70 + m∠K = 180

- Subtract 70 from both sides

∴ m∠K = 110°

Let us use cosine rule to find the length of PQ

∵ PQ = \sqrt{(KP)^{2}+(KQ)^{2}-2(KP)(KQ)cos(K)}

∵ PK = 12 , KQ = 12 , m∠K = 110°

- Substitute these values in the rule

∴ PQ = \sqrt{(12)^{2}+(12)^{2}-2(12)(12)cos(110)}

∴ PQ = 19.66

The length of PQ is 19.66 units

Learn more:

You can learn more about triangle in brainly.com/question/12985572

#LearnwithBrainly

4 0
3 years ago
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