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morpeh [17]
3 years ago
13

Given the following diagram, find the missing measure. m 4 = 2x°, m 2 = (4/3)x°, m 3 = 20°, find x. 10 30 20 60

Mathematics
1 answer:
Pepsi [2]3 years ago
5 0

Answer:

<em>B. 30 degrees</em>

Step-by-step explanation:

Find the diagram attached

From the diagram:

Interior angles are m<3 and m<2

Exterior angle = <4

using the rule that says that the sum of interior angles is equal to the exterior angle we have:

m<2+m<3 = m<4

(4/3)x°+20 = 2x°

multiply through by 3:

4x° + 60 = 6x°

4x°-6x° = -60

-2x° = -60

x°= -60/-2

<em>x° = 30°</em>

Hence the value of x is 30 degrees

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Both Prince and swallow were alike because both were kind, fully sympathy for the needy and suffering people. Both gave all which was there with them. the swallow gave his own life by carrying out all the errands commanded by the Prince.

Step-by-step explanation:

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2 years ago
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Sedaia [141]

Check the picture below.

so let's find the lengths of those two sides in red, since are the length and width of the rectangle.

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-6}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{6})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d = \sqrt{[-3-(-6)]^2+[6-3]^2}\implies d=\sqrt{(-3+6)^2+(6-3)^2} \\\\\\ d=\sqrt{9+9}\implies \boxed{d=\sqrt{18}} \\\\[-0.35em] ~\dotfill

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-6}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{-1})~\hfill d=\sqrt{[-2-(-6)]^2+[-1-3]^2} \\\\\\ d=\sqrt{(-2+6)^2+(-1-3)^2}\implies d=\sqrt{16+16}\implies \boxed{d=\sqrt{32}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the rectangle}}{(\sqrt{18})(\sqrt{32})}\implies \sqrt{18\cdot 32}\implies \sqrt{576}\implies 24

7 0
3 years ago
Claire bought 10 chicken nuggets for $17.00. If Claire spent $5.00, how many chicken nuggets did she buy
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Answer

She would have 3.4 chicken nuggets i she spent $5 so she would have 3 chicken nuggets.

Step-by-step explanation:

17.00 divided by 5 = 3.4 or round down to 3.

                                                        hope it helps :b

6 0
3 years ago
Which expressions are equivalent to 2r+(t+r)
irga5000 [103]

Answer:

Option C -> None of the above.

Step-by-step explanation:

Given-

2 r + ( t + r )

<em>⇒ 2 r + t + r</em>

<em>⇒ 2 r + r + t</em>

<em>⇒ 3 r + t</em>

∵ 2 r + ( t + r ) = 3 r + t.

∴ The given expression is equivalent to Option C : None of the above.

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