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2 years ago

15. Given a triangle with angle measures 35º and 25°. Find the measure of the third angle and classify

Mathematics

1 answer:

STatiana [176]2 years ago

8 0

Answer: 120° obtuse.

Step-by-step explanation:

The sum of the angles in a triangle is 180°. Since two of the angles given are 35° and 25°, the third angle will be:

= 180° - (35° + 25°)

= 180° - 60°

= 120°

This is an obtuse angle since it's greater than 90° but less than 180°

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A publisher claims that the average salary paid at its company is $37,500, but it could differ by as much as $4,500. Write an ab

Arlecino [84]

Answer:

|x − 37,500| ≤ 4,500

Step-by-step explanation:

salary - 37,500 can be up +4500 or as negative -4500

as much as means less than or equal to

We use absolute values to indicate this

|x − 37,500| ≤ 4,500

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3 years ago

Read 2 more answers

What is the slope of the line that contains the points (-1,9) and (5,21)

geniusboy [140]

Y-y
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3 years ago

Ryan can text 22 words in 4 minutes. At this rate, how many words could he text in 12 minutes? Fill out the table of equivalent

aleksandrvk [35]

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3 years ago

D/dx(sin x/2+cos x) = (a + b cos x)/(2+cos x)^2 find a and b.

Talja [164]

Answer:

a = 1 and b = 2

Step-by-step explanation:

Using the Quotient Rule>

d/dx[(sin x)/(2+cos x) ]

= [(2 + cos x) * cosx - sin x * - sin x)] / (2 + cos x)^2

= 2cos x + cos^2x + sin ^2 x) / (2 + cos x)^2

But cos^2x + sin^2x = 1 so we have:

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3 years ago

On a class trip to the museum,5/8 of the students saw the dinosaurs and 7/8 of the students saw either the jewelry collection or

inessss [21]

$\frac{2}{8}$ of students only saw jewelry collection

Solution:

Given that, On a class trip to the museum,5/8 of the students saw the dinosaurs

7/8 of the students saw either the jewelry collection or the dinosaurs

To find: Fraction of students only saw jewelry collection

From given statement,

Fraction of students saw dinosaur = $\frac{5}{8}$

Fraction of students saw either the jewelry collection or the dinosaurs = $\frac{7}{8}$

Therefore,

Fraction of students only saw jewelry collection = Fraction of students saw either the jewelry collection or the dinosaurs - Fraction of students saw dinosaur

$\rightarrow \frac{7}{8} - \frac{5}{8} = \frac{7-5}{8} = \frac{2}{8}$

Thus $\frac{2}{8}$ of students only saw jewelry collection

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3 years ago