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zhannawk [14.2K]
3 years ago
14

What is the answer to this????

Mathematics
1 answer:
Arturiano [62]3 years ago
7 0

Answer:

Step-by-step explanation:

<4 = <2 = 43° (vertical angles are equal)

<1 = <3  (vertical angles are equal)

<1 + <4 = 180 (supplementary angles, sum = 180)

So

<1  + 43 = 180

<1 = 180 - 43

<1 = 137°

Answer

<1 = 137°

<2 = 43°

<3 = 137°

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sertanlavr [38]
Same side, interior angles of parallel lines cut by a transversal are supplementary.
The sum of the measures of supplementary angles is 180.

Angles 4 and 6 are same side, interior angles, so their measures add to 180.

m<4 + m<6 = 180

109 + m<6 = 180

m<6 = 180 - 109

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Answer: m<6 = 71 deg.
8 0
3 years ago
Help me please! Write the measure of angles a, b, c, d, e, f, and g for the figure below.
Lina20 [59]

Answer:

a=55

b=55

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d=125

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f=55

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Step-by-step explanation:

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3 years ago
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USPshnik [31]

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The sum of squares of two consecutive odd numbers is 514 find the numbers ​
amid [387]

Correct Question : The sum of squares of two consecutive positive odd numbers is 514. Find the numbers.

\rule{130}1

Solution :

Let the two consecutive positive odd numbers be x and (x + 2)

\rule{130}1

☯ \underline{\boldsymbol{According\: to \:the\: Question\:now :}}

:\implies\sf x^2 + (x + 2)^{2} = 514 \\\\\\:\implies\sf x^2 + x^2 + 4x + 4 = 514\\\\\\:\implies\sf 2x^2 + 4x + 4 = 514 \\\\\\:\implies\sf 2x^2 + 4x = 514 - 4\\\\\\:\implies\sf 2x^2 + 4x = 510 \\\\\\:\implies\sf 2x^2 + 4x - 510 = 0\\\\\\:\implies\sf x^2 + 2x - 255 = 0 \:\:\:\:\:\Bigg\lgroup \bf{Dividing\:by\:2}\Bigg\rgroup\\\\\\:\implies\sf x^2 + 17x - 15x - 255 = 0\\\\\\:\implies\sf x(x + 17) - 15(x + 17) = 0\\\\\\:\implies\sf (x + 17) (x - 15)\\\\\\:\implies\sf x = - 17\:or\:x = 15\\\\\\:\implies\underline{\boxed {\sf x = 15}}\:\:\:\:\:\Bigg\lgroup \bf{Positive\:odd\: number}\Bigg\rgroup

When,

\bullet\: \textsf {x = } \textbf {15}

\bullet\: \sf x + 2 = 15 + 2 =\textbf{ 17}

\therefore\:\underline{\textsf{The required positive integer is \textbf{15 and 17}}}.

5 0
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garri49 [273]

B. 7.2

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-15.5+7.2=(-8.7) and vice versa.

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