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gtnhenbr [62]
2 years ago
3

The measure of an exterior angle of a triangle is 40°. What is the sum of the measures of the corresponding remote interior angl

es?

Mathematics
1 answer:
nordsb [41]2 years ago
6 0

Answer:

Remember that the two non-adjacent interior angles, which are opposite the exterior angle are sometimes referred to as remote interior angles. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. The sum of exterior angle and interior angle is equal to 180 degrees

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For this question, you need to understand how to divide fractions.First we line up our fractions appropriately:
4/9 ÷ 4/5 = ?         (You want to divide 4/9 by 4/5)
4/9 × 5/4 = ?         (Now we use the reciprocal of 4/5 and multiply instead of divide)
4 x 5 = 20 and 9 x 4 = 36.       (Cross multiply.)
20/36 = 5/9.           (Simplify to lowest terms.)
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2 years ago
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12 less than m is no less than 132
kaheart [24]

Answer

M-12=-132

The less than moves the number to the back

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On Tuesday, 525 people bought tickets to the county fair. Tickets cost $7 for adults and $3 for children. The total revenue from
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You need to look at this chart <span>The system of equations below represents the number of people and total sales for the county fair on Tuesday, where x represents the number of child tickets and y represents the number of adult tickets. you need to take the amount of money you get for adult tickets only then divid it by seven and that is you answer</span>
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2 years ago
Two families went to Rollercoaster World. The Brown family paid 170 for 3 children and 2 adults. The Peckham family paid 360 for
cestrela7 [59]

Answer: the system of equations are

3x + 2y = 170

4x + 6y = 360

Step-by-step explanation:

Let x represent the price of a child's ticket in dollars.

Let y represent the price of an adult's ticket in dollars.

The Brown family paid 170 for 3 children and 2 adults. This would be expressed as

3x + 2y = 170

The Peckham family paid 360 for 4 children and 6 adults. This would be expressed as

4x + 6y = 360

3 0
2 years ago
Given that tangent theta = negative 1, what is the value of secant theta, for StartFraction 3 pi Over 2 EndFraction less-than th
Rashid [163]

Answer:

sec(\theta)=\frac{2}{\sqrt{2} }=\sqrt{2}

Step-by-step explanation:

Start by noticing that the angle \theta is on the 4th quadrant (between \frac{3\pi}{2} and 2\pi. Recall then that in this quadrant the functions tangent and cosine are positive, while the function sine is negative in value. This is important to remember given the fact that tangent of an angle is defined as the quotient of the sine function at that angle divided by the cosine of the same angle:

tan(\theta)=\frac{sin(\theta)}{cos(\theta)}

Now, let's use the information that the tangent of the angle in question equals "-1", and understand what that angle could be:

tan(\theta)=\frac{sin(\theta)}{cos(\theta)}\\-1=\frac{sin(\theta)}{cos(\theta)}\\-cos(\theta)=sin(\theta)

The particular special angle that satisfies this (the magnitude of sine and cosine the same) in the 4th quadrant, is the angle \frac{7\pi}{4}

which renders for the cosine function the value \frac{\sqrt{2} }{2}.

Now, since we are asked to find the value of the secant of this angle, we need to remember the expression for the secant function in terms of other trig functions: sec(\theta)=\frac{1}{cos(\theta)}

Therefore the value of the secant of this angle would be the reciprocal of the cosine of the angle, that is: sec(\theta)=\frac{2}{\sqrt{2} }=\sqrt{2}

6 0
2 years ago
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