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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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6. Two points in the plane, ????(19,4) and ????(19,−6), represent the endpoints of the diameter of a circle.
dusya [7]

Answer:

Radius = 5

center is (19,-1)

(x-19)^2(y+1)^2= 25

Step-by-step explanation:

Two points in the plane, (19,4) and  (19,−6), represent the endpoints of the diameter of a circle.

Distance between the points is calculated using formula

d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

=\sqrt{\left(19-19\right)^2+\left(-6-4\right)^2}=10

diameter = 10

radius = diameter divide by 2

Radius = 5

midpoint is the center of the circle

\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)

\left(\frac{19+19}{2},\:\frac{-6+4}{2}\right)

(19,-1)

Equation of the circle

(x-h)^2(y-k)^2= r^2

h,k is the center and r is the radius

h=19 and k=-1 , r=5

(x-19)^2(y+1)^2= 25

8 0
3 years ago
Which point is located at (6,1)?<br> A) T <br> B) V <br> C) W <br> D) X
solmaris [256]

Go 6 units in X axis and 1 unit in Y axis and you get V.

Alternative B

8 0
4 years ago
Read 2 more answers
Help please! thank you so much
umka21 [38]

Answer:

4 units ...................

4 0
2 years ago
What answer is correct? The audio is just reading the question.
RSB [31]

Answer:

its 7

Step-by-step explanation:

3 0
3 years ago
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ASAP HELP:The number of chapters read, y, after x days. The 5 slope of the line is and the y-intercept is 2. slope means... y-in
Rufina [12.5K]

Answer:

Step-by-step explanation:

The number of chapters read = y

Number of days spent to read = x

Slope of the line = \frac{5}{4} ≈ 1.25

y-intercept = 2

Slope means "number of pages read per day"

For slope = 1.25 means "1.25 pages read per day"

y-intercept means "Number of pages read initially"

y-intercept = 2 means "2 pages have been already read"

3 0
3 years ago
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