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2 years ago

CD is tangent to circle A at point B.

Mathematics

1 answer:

Mrrafil [7]2 years ago

7 0

The measure of the angle m<ABD is 90 degrees

<h3>Circle geometry</h3>

Circle geometry is the measure of angles within a circle. From te=he diagram shown, we can see that CD is tangent to circle A at point B and a line tangential to c circle is at 90 degrees

Since we are to find the measure of M<ABD, hence the required mesaure of the angle will be 90 degrees

Learn more on circle geometry here: brainly.com/question/24375372

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Drupady [299]

Answer:

3 is the value of X.

4 0

3 years ago

Quadrilateral KMPT is dilated by a scale factor of 3/4 to create K'M'P'T'. The perimeter of quadrilateral KMPT is x units. What

777dan777 [17]

Answer:

B) $\frac{3}{4}$ x units

Step-by-step explanation:

Let quadrilateral KMPT be a rectangle with dimensions 12 units by 8 units. Then its perimeter would be equal to:

Perimeter of a rectangle = 2 (l + b)

where: l is the length = 12 units and b is the breadth = 8 units. So that:

Perimeter of KMPT = 2 (12 + 8)

= 40 units

Dilating KMPT by a scale factor of $\frac{3}{4}$ would create K'M'P'T' of dimensions; $\frac{3}{4}$ × 12 units by $\frac{3}{4}$ × 8 units. Thus, the dimensions of K'M'P'T' would be 9 units by 6 units.

Perimeter of K'M'P'T' = 2 (l + b)

= 2(9 + 6)

= 30 units

Comparing the perimeters of KMPT and K'M'P'T', the perimeter of K'M'P'T' would be $\frac{3}{4}$ × perimeter of KMPT.

Therefore, if the perimeter of KMPT is x units, then;

perimeter of K'M'P'T' = $\frac{3}{4}$ * x units

= $\frac{3}{4}$ x units

6 0

3 years ago

Karla invests $300 compounded every 6 months at a rate of 10% for 3 years. At the end of three years, Karla will have $402.03 in

adell [148]

Answer:

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $300

r = 10% = 10/100 = 0.1

n = 2 because it was compounded 2 times in a year(6 months).

t = 3 years

Therefore,

A = 300(1 + 0.1/2)^2 × 3

A = 300(1 + 0.05)^6

A = 300(1.05)^6

A = $402.03

4 0

3 years ago

Find all exact solutions on the interval 0 ≤ x < 2π.

masya89 [10]

Answer:

View Image

x = π/6, 5π/6, 7π/6, 11π/6

Step-by-step explanation:

The only things you need to know are 2 things:

1.) $csc^2(x)=(csc(x))^2$ , the exponent of trig functions are written in the middle

2.) $csc(x)=\frac{1}{sin(x)}$ , csc() is just the inverse of sin()

3 0

3 years ago

What is an equation of the line that passes through the point (3,-8) and has a slope of -2<br>

makvit [3.9K]

Answer:

y = -2x - 2

Step-by-step explanation:

Given:

m = -2

Slope-intercept:

y - y1 = m(x - x1)

y + 8 = -2(x - 3)

y + 8 = -2x + 6

y = -2x - 2

3 0

2 years ago