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3 years ago

Two of the angles in a triangle measure 41° and 61° What is the measure of the third angle?

Mathematics

1 answer:

professor190 [17]3 years ago

5 0

Answer:

78 degrees

Step-by-step explanation:

All inner angles of a triangle make a sum of 180 degrees. Given 41 and 61 add up to 102, that leaves 78 degrees left to make 180

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Help with this please

Alik [6]

Answer:

Yes, the given parallelogram is a rectangle.

Step-by-step explanation:

The vertices of parallelogram are J(-5,0), K(1,4), L(3,1) and M(-3,-3).

The slope formula is

$m=\frac{y_2-y_1}{x_2-x_1}$

$JK=\frac{4-0}{1-(-5)}=\frac{4}{6}=\frac{2}{3}$

$KL=\frac{1-4}{3-1}=\frac{-3}{2}$

$LM=\frac{-3-1}{-3-3}=\frac{-4}{-6}=\frac{2}{3}$

$JM=\frac{-3-0}{-3-(-5)}=\frac{-3}{2}$

The slopes of opposites sides are same it means they are parallel to each other.

The product of slopes of two consecutive sides is

$\frac{2}{3}\times \frac{-3}{2}=-1$

Since the product of slopes of two consecutive sides is -1, therefore the consecutive sides are perpendicular to each other.

Yes, the given parallelogram is a rectangle.

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3 years ago

Katie memorized 40 multiplication facts last week. This week she memorized 56 multiplication facts. What is her percent of incre

Oksi-84 [34.3K]

Answer:

40%

Step-by-step explanation:

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

Please, I need help on this problem

MrMuchimi

Anyone sees the problem? I can’t see it.

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3 years ago

"The output is one-fourth of the input."

Alenkasestr [34]

Step-by-step explanation:

Using functions, the input is x, the output is y.

<u>Break down the problem:</u>

The output (y) is (equals) one-fourth (1/4) of the input (x)

y equals 1/4 of x

$y = \frac{1}{4} x$

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2 years ago