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sergij07 [2.7K]
2 years ago
11

A right triangle has one angle that measures 53°. What is the measure of the other acute angle?

Mathematics
2 answers:
olchik [2.2K]2 years ago
3 0

Answer:37 degrees

Step-by-step explanation:

90 (right triangle always has a 90 degree angle) + 53 = 143

There are 180 degrees in a triangle so,

180-143 = 37

STatiana [176]2 years ago
3 0
Hopes this helps:

Answer: 37 degrees

Angle 1 = 90

Angle 2 = 53

When you add all of the angles up you get 180.

So, 180 = 90 + 53 + angle 3

Angle 3 = 180 - 143

So, that means

Angle 3 = 37 degrees
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Find the standard form of the circle x2 + y2 – 6x + 10y + 24 = 0 by completing the square.
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Answer:

(x-3)^2+ (y+5)^2=10

Step-by-step explanation:

Given the equation of the circle: x^2 + y^2 - 6x + 10y + 24 = 0

We wish to express it in a Standard form:

We begin by re-arranging:

x^2 - 6x + y^2  + 10y  = - 24

Next, divide the coefficient of x by 2, square it and add it to both sides.

Do the same for y.

x^2 - 6x +(-3)^2+ y^2  + 10y+5^2  = - 24+(-3)^2+5^2

Next, we factorize

(x-3)^2+ (y+5)^2  = - 24+9+25\\(x-3)^2+ (y+5)^2=10

This is the standard form.

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