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2 years ago

Diameter AC is 25 feet, BC is 7 feet, find the length of AC

Mathematics

2 answers:

Oksanka [162]2 years ago

6 0

26:)))))))))))))))))))))))))))))))

geniusboy [140]2 years ago

3 0

26!!!!!!!!!!!!!!!!!!!!!!!!!

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An equation of the perpendicular bisector of the line segment with end points (3,0) and (-3,0) is

Norma-Jean [14]

Answer:

$x = 0$

Step-by-step explanation:

Given

$(x_1,y_1) = (3,0)$

$(x_2,y_2) = (-3,0)$

Required

The equation of the perpendicular bisector.

First, calculate the midpoint of the given endpoints

$(x,y) = 0.5(x_1 + x_2, y_1 + y_2)$

$(x,y) = 0.5(3-3, 0+ 0)$

$(x,y) = 0.5(0, 0)$

Open bracket

$(x,y) = (0.5*0, 0.5*0)$

$(x,y) = (0, 0)$

Next, determine the slope of the given endpoints.

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

$m = \frac{0 - 0}{-3- 3}$

$m = \frac{0}{-6}$

$m = 0$

Next, calculate the slope of the perpendicular bisector.

When two lines are perpendicular, the relationship between them is:

$m_2 = -\frac{1}{m_1}$

In this case:

$m = m_1 = 0$

So:

$m_2 = -\frac{1}{0}$

$m_2 = unde\ fined$

Since the slope is $unde\ fined$ , the equation is:

$x = a$

Where:

$(x,y) = (a,b)$

Recall that:

$(x,y) = (0, 0)$

So:

$a = 0$

Hence, the equation is:

$x = 0$

5 0

2 years ago

Help fill in the blanks no

DerKrebs [107]

Answer:

Here is the full proof:

AC bisects ∠BCD Given

∠CAB ≅ ∠CAD Definition of angle bisector

DC ⊥ AD Given

∠ADC = 90° Definition of perpendicular lines

BC ⊥ AB Given

∠ABC = 90° Definition of perpendicular lines

∠ADC ≅ ∠ABC Right angles are congruent

AC = AC Reflexive property

ΔCAB ≅ ΔCAD SAA

BC = DC CPCTC

7 0

2 years ago

A square has an area of 289 cm2. What is the length of one side?

Delvig [45]

Answer:

144.5cm

Step-by-step explanation:

Since it's a square, all sides should be equal so you just need to divide 289 by 2(are of a square is side times side)

3 0

2 years ago

Special Right Trianglws

Masteriza [31]

Answer:

x = $2\sqrt7$

y = $2\sqrt7$

Step-by-step explanation:

Hello!

This is a right isosceles triangle (45°-45°-90°). You can solve for the missing angle by simply subtracting 45° and 90° from 180° (sum of angles in a triangle equals 180°)

Since the triangle is isosceles, x and y are congruent because they are the legs opposite to the congruent angles.

In a right isosceles triangle, the hypotenuse is always the measure of one leg multiplied by $\sqrt2$ .

So, let's use leg y, $y\sqrt2 = 2\sqrt{14}$

Solve for y:

$y\sqrt2 = 2\sqrt{14}\\\\y = $\frac{2\sqrt{14}}{\sqrt2}$\\\\y = 2\sqrt7$

y = $2\sqrt7$ , which means that x is also $2\sqrt7$

3 0

2 years ago

(a) 34 is 85% of what number?<br> (b) What is 15% of 80?

lana [24]

Answer:

A. 40. B.12

Step-by-step explanation:

40/34=.85

80*.15=12

6 0

2 years ago

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