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3 years ago

One angle of an isosceles trapezoid has measure 57. What are the measures of the other angles?

Mathematics

2 answers:

Rzqust [24]3 years ago

4 0

In an isosceles trapezoid the two adj angles are equal
& the two opposite angles are equal & the
sum of the interior angles =360
so 57 + 57 = 114
360-114 = 246
the other angles are 246/2 = 123
the measure of the other angles are 57,123 & 123

Kobotan [32]3 years ago

3 0

$\alpha =57^o\\ \\ The \ interior \ angle \ at \ the \ shortest \ base \ is \ equal \ to :\\ \\ \beta = 180^o - 57^o = 123^o$

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defon

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3 years ago

Read 2 more answers

Write the equation of the line that passes through the points (2, 3) and (3, -7). Put

FrozenT [24]

Answer:

$y - 3 = -10 (x-2)$

Step-by-step explanation:

The point-slope formula is $y-y_1 = m (x-x_1)$ . When knowing the slope of a line and a point it intersects, we can write its equation with that formula. Substitute $m$ , $x_1$ , and $y_1$ for real values.

1) First, find $m$ , or the slope. Use the slope formula $m = \frac{y_2-y_1}{x_2-x_1}$ and substitute the x and y values of the given points. Then, solve:

$m = \frac{(-7)-(3)}{(3)-(2)} \\m = \frac{-7-3}{3-2} \\m = \frac{-10}{1} \\m = -10$

Therefore, the slope of the line is -10.

2) Now, substitute the needed real values into the point-slope formula, $y-y_1 = m (x-x_1)$ . Since $m$ represents the slope, substitute -10 in its place. Since $x_1$ and $y_1$ represent the x and y values of a point the line crosses, choose any of the points given and substitute its values into the formula. (Either one is fine, they both equal the same thing. I chose (2,3).) This will give the following answer and equation:

$y - 3 = -10 (x-2)$

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3 years ago

The number of teams who entered in a 3-on-3 charity basketball tournament can be modeled by function T, where x is the number of

Svetradugi [14.3K]

Answer:

<u>Option A:</u>

$R(x)=20x^2+300x+1080$

Explanation:

The revenue, R(x) is the product of the number of teams who entered the tournament, T(x), times the entry fee paid by each team, F(x); then you can write:

$R(x)=T(x)\times F(x)$

Thus you must multiply the two functions (polynomials):

$R(x)=(4x+24)\times (5x+45)$

Use distributive property:

$R(x)=(4x+24)\times (5x+45)=(4x)(5x)+(4x)(45)+(24)(5x)+(24)(45)$

Simplify:

$R(x)=(4x)(5x)+(4x)(45)+(24)(5x)+(24)(45)=20x^2+180x+120x+1080$

Add like terms:

$R(x)=20x^2+180x+120x+1080=20x^2+300x+1080$

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3 years ago

east side middle school has 1,500 students. Thirty-two percent of them are in sixth grade. How many sixth grade students are the

77julia77 [94]

480 6th grade students
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2 years ago

Explain what the equation 110d = 100d + 40 represents<br>in the context of the example problem.

Tanya [424]

<em>This means that at some specific number of days the cost for Oceanview and Beachside will be the same.</em>

<h2 /><h2>Explanation:</h2>

See the complete question in the attached file. In this exercise, we know that Oceanview charges $100 per day plus a one-time fee of $40. This can be represented by the following equation:

Total cost for Oceanview:

$c=100d+40$

Total cost for Beachside:

$c=110d$

Where:

$c:Represents \ the \ cost \\ \\ d:Represents \ the \ number \ of \ day$

So we have to explain what the equation:

$110d=100d+40$

represents in the context of the problem. We have used substitution in order to get that equation, so <em>this means that at some specific number of days the cost for Oceanview and Beachside will be the same.</em>

This value was calculated and we get that<em> the cost at the hotels will be the same after 4 days and it will be $440.</em>

<h2>Learn more:</h2>

Linear equations: brainly.com/question/12412678

#LearnWithBrainly

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2 years ago