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Dennis_Churaev [7]
2 years ago
12

If mAC 178°, and mBC= 42°, what is m∠BDC? 110° 65° 68° 136°

Mathematics
2 answers:
weqwewe [10]2 years ago
6 0
The answer is 68 degrees
Viktor [21]2 years ago
4 0
<span>m∠BDC = 1/2(178 - 42)
</span><span>m∠BDC = 1/2(136)
</span><span>m∠BDC = 68

answer
</span><span>68° </span>
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Which expression shows a way to find 20% of 950?<br> 950<br> 20<br> 20<br> What is it
Komok [63]
To find 20% of 950 you would set it up as a proportion. When doing percentages the prevent is always out of 100 so the first step would be 20/100. You are trying to find a number out of 950 so the second part would be ?/950. Now you want to cross multiply and divide. 20*950=19,000 then you divide it by 100 (your other number) 19,000/100=190. So 20% of 950 is 190.
3 0
1 year ago
Multiplying StartFraction 3 Over StartRoot 17 EndRoot minus StartRoot 2 EndRoot EndFraction by which fraction will produce an eq
ziro4ka [17]

The fraction which produce an equivalent fraction with a rational denominator is \left(\frac{\sqrt{17}+\sqrt{2}}{\sqrt{17}+\sqrt{2}}\right)

Explanation:

The equation is \frac{3}{\sqrt{17}-\sqrt{2}}

To find the rational denominator, let us take conjugate of the denominator and multiply the conjugate with both numerator and denominator.

Rewriting the equation, we have,

\frac{3}{\sqrt{17}-\sqrt{2}}\left(\frac{\sqrt{17}+\sqrt{2}}{\sqrt{17}+\sqrt{2}}\right)

Multiplying, we get,

\frac{3(\sqrt{17}+\sqrt{2})}{(\sqrt{17})^{2}-(\sqrt{2})^{2}}

Simplifying the denominator, we get,

\frac{3(\sqrt{17}+\sqrt{2})}{17-2}

Subtracting, the values of denominator,

\frac{3(\sqrt{17}+\sqrt{2})}{15}

Dividing the numerator and denominator,

\frac{\sqrt{17}+\sqrt{2}}{5}

Hence, the denominator has become a rational denominator.

Thus, the fraction which produce an equivalent fraction with a rational denominator is \left(\frac{\sqrt{17}+\sqrt{2}}{\sqrt{17}+\sqrt{2}}\right)

6 0
1 year ago
Read 2 more answers
If x varies jointly as y and z, and x = 8 when y = 4 and z = 9, find z when x = 16 and y = 6. 3
Ghella [55]

Answer:

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if x \propto y and x \propto z

then the equation is in the form of:

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If x varies jointly as y and z

then by definition we have;

x=k(yz)           ......[1]

Solve for k;  

when x = 8 , y=4 and z=9

then

Substitute these in [1] we have;

8=k(4 \cdot 9)

⇒8 = 36k

Divide both sides by 36 we have;

\frac{8}{3}=k

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k = \frac{2}{9}

⇒x = \frac{2}{9}yz

to find z when x = 16 and y = 6

Substitute these value we have;

16 = \frac{2}{9} \cdot 6 \cdot z

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Multiply both sides by 9 we have;

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Divide both sides by 12 we have;

12 = z

or

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Therefore, the value of z is, 12

7 0
1 year ago
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Marta_Voda [28]
About 1352
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2 years ago
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10.00-6.50=£3.50
8 0
2 years ago
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