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Gre4nikov [31]
2 years ago
12

Which of the following is true of the angle measures in the diagram below.

Mathematics
2 answers:
Bess [88]2 years ago
7 0

Answer:

B

Step-by-step explanation:

Lunna [17]2 years ago
4 0

Answer:

it's B

Step-by-step explanation:

the sum of two interior angle of a triangle are always equal to the degree of the adjoined angle to the 3 angle

sorry i don't know how to explain this better

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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}}}.

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3 years ago
1. Deshawn's Bikes rents bikes for $11 plus $5 per hour, Maria paid SSI to rent a bike. For how
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Step-by-step explanation:

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3 years ago
What is the volume of a cylinder with a radius of 10cm and a height of 30cm
lys-0071 [83]

Answer:

9,424.8 cm^3

Step-by-step explanation:

V = A of circle x h

= πr^2 x h

=(3.1416)(10)^2 x 30

=(3.1416)(100) x 30

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=9429.8

4 0
3 years ago
Two angles form a linear pair. The measure of one angle is 1/3 of the other angle. Find the measure if each angle
sdas [7]

Answer:

<em>The measure of the angles is 45° and 135°</em>

Step-by-step explanation:

When two lines intersect, a linear pair of angles is formed. Two angles are said to be linear if they are adjacent, so a linear pair of angles must add up to 180 degrees.

Let's call x and y the two required angles. Knowing they form a linear pair:

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We also know one angle is 1/3 of the other angle, thus:

x=y/3

Or, equivalently:

3x=y

Substituting y into the first equation:

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Simplifying:

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Solving:

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The other angle is:

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Thus the measure of the angles is 45° and 135°

5 0
3 years ago
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