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Zolol [24]
3 years ago
11

Right triangle ABC has a right angle at ∠B and the following measures: AB=37, m∠C=65°, and m∠A=25°.

Mathematics
1 answer:
julia-pushkina [17]3 years ago
3 0

Answer: option B is the correct answer.

Step-by-step explanation:

Triangle ABC is a right angle triangle.

From the given right angle triangle,

AC represents the hypotenuse of the right angle triangle.

With m∠C as the reference angle,

BC represents the adjacent side of the right angle triangle.

AB represents the opposite side of the right angle triangle.

To determine m, we would apply

the Tangent trigonometric ratio.

Tan θ, = opposite side/adjacent side. Therefore,

Tan 65 = 37/m

m = 37/Tan65

m = 37/2.1445

m = 17.25

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geniusboy [140]

Answer:

(2a, b )

Step-by-step explanation:

Given the endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ \frac{1}{2}(x₁ + x₂ ), \frac{1}{2}(y₁ + y₂ ) ]

Here (x₁, y₁ ) = N(2a, 2b) and (x₂, y₂ ) = P(2a, 0), thus

midpoint = [ \frac{1}{2}(2a + 2a), \frac{1}{2}(2b + 0 ) ] = (2a, b )

4 0
3 years ago
Look at the figure. Which step should be taken next to construct a line through point P perpendicular to BA?
alexira [117]

ANSWER:

C. Place the compass on point A. Open the compass to a point between point P and point B.

EXPLANATION:

A perpendicular is a line that would be at a right angle to line BA.

The next step is to chose a radius that is greater than PB or PA so as to construct the bisector. And this can be done by placing the compass on point A, and open the compass to a point between point P and point B.

Use this radius to draw an arc above and below the line, and repeat the same using B as the center with the same radius. This would form two intersecting arcs above and below line BA. Join the point of intersection of the arcs by a straight line through P. This is the bisector of line BA through point P.

8 0
3 years ago
Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x2 + 10 and y = 4x – 10? Che
guapka [62]
That would be :
 4x – 10 = x2 – 5x + 10  ( y = 4x - 10 is substitute for y)

 PROOF:        y + 5x = x²<span> + 10
</span>                      (4x - 10) + 5x = x² + 10
                       4x - 10  =  x² -5x + 10
     <span>
    
</span>0 = x2 – 9x + 20<span>  (liked terms are grouped and simplified)

PROOF:     </span> 4x - 10  =  x² -5x + 10
                    4x = x² -5x + 10 + 10
                     0  = x² -5x -4x + 20
                     0  = x² - 9x + 20


Solving:
              x² - 9x + 20 = 0 

              x² - 5x - 4x + 20 = 0

              (x - 5) (x - 4)  = 0

           ⇒ x = 4  (as question says) OR x = 5
     

8 0
3 years ago
Read 2 more answers
Question 3
BigorU [14]

Answer:

  30 mph

Step-by-step explanation:

time = distance/speed

If x represents Jane's speed along the summit then her total exploration time is ...

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Multiplying by (x)(x -5), we get ...

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Dividing by 2 and subtracting the left side gives ...

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Solutions are x = 30 and x = 1, values of x that make the factors zero. A speed of 1 mph makes no sense in this problem, so ...

Jane's speed along the summit was 30 mph.

3 0
3 years ago
Read 2 more answers
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Ket [755]

Answer:

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AB is the diameter

OB and OA are radii

Radius is half of the diameter or in other words diameter is double of radius.

And circumference is the outer line of the circle

circumference=2\pi r


4 0
3 years ago
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