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Andrej [43]
3 years ago
8

In a right triangle, the acute angles measure x + 15 and 2x degrees. What is the measure of the smallest angle of the triangle?

Mathematics
1 answer:
Nat2105 [25]3 years ago
5 0
The sum of the three angles of a triangle is always 180 degrees. If the triangle is right, which means one of the angles measures 90 degrees, the other two angles should add up to 90 degrees. With this condition and the given above, x + 15 + 2x = 90. Solving for x in the equation gives x = 25. Substituting x to the given expression for the acute angles gives the measurements of 40 and 50 degrees. Thus, the smallest angle of the triangle is <em>40 degrees</em>. 
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28.5  is the coldest surface temperature on Earth
5 0
3 years ago
Determine the center and radius of the following circle equation: x² + y2 - 6x + 16y + 48 = 0​
motikmotik

Answer:

center (3,-8)

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4 0
2 years ago
Help &lt;3 ;3
Tomtit [17]
Hello,

Rational numbers are numbers that can be represented by fractions that consist of integers.

In this case, B. -7/3 is already a fraction that consists of integers, so it is a rational number.
C. square 3 is = 3^{2} = 9, which can be represented by 9/1, so it is also a rational number.

A and D are incorrect as they cannot be represented by fractions that consist of integers.

The answers are B and C.

Hope this helps!

8 0
3 years ago
Read 2 more answers
In circle O, BC=14 and DC=25. What is the length of diameter BA? -58.6 -12.2 -44.6 -30.6
Savatey [412]
The picture in the attached figure

we know that
If a tangent segment and a secant segment are drawn to a <span>circle </span><span>from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment
</span>so
DC²=BC*CA-----> CA=DC²/BC
DC=25
BC=14
CA=25²/14-----> CA=44.64
CA=BC+BA----> BA=CA-BC----> BA=44.64-14----> BA=30.64

BA is the diameter
hence
<span>the length of diameter BA is 30.64----> round to the nearest tenth---> 30.6
</span>
the answer is
<span>the length of diameter BA is 30.6</span>


7 0
3 years ago
Evaluate A2 for A = -3.<br><br> -9<br> -6<br> 6<br> 9
Slav-nsk [51]

A^2

-3^2 = 9

 the answer is 9

6 0
3 years ago
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