All categories

2 years ago

Find the measure of arc DB. 25° 96° 118° 146°

Mathematics

1 answer:

Sati [7]2 years ago

3 0

Answer:

146°

Step-by-step explanation:

By the property of intersecting tangent and secant outside of a circle.

$(5x )\degree = \frac{1}{2} [(25x + 21) \degree - 96 \degree] \\ \\ (5x )\degree \times 2= (25x + 21 - 96) \degree \\ \\ (10x )\degree = (25x + 21 - 96) \degree \\ \\ 10x = 25x - 75 \\ \\ 75 = 25x - 10x \\ \\ 75 = 15x \\ \\ x = \frac{75}{15} \\ \\ x = 5 \\ \\ m (\widehat{DB}) = (25x + 21) \degree \\ \\ m(\widehat{DB} )= (25 \times 5 + 21) \degree \\ \\ m(\widehat{DB} )= (125 + 21) \degree \\ \\ \huge \purple{ \boxed{m( \widehat{DB} )= 146 \degree}} \\ \\$

You might be interested in

To get into shape, Miles ran for 1 minute on Monday, 3 minutes on Tuesday, 6 minutes on Wednesday, and 10 minutes on Thursday. I

Eduardwww [97]

Answer:

15 minutes??

I guess?

Step-by-step explanation:

Im really not sure

There's a pattern!!

You just need to count how many numbers passed by!

Clear?

3 0

2 years ago

34. Which is the rule for the linear function graphed below?

Ivahew [28]

Answer:

We can note that this part of the graph is a linear function. This means that is has a general form: y = mx + c where m is the slop and c is the y-intercept (value of y at x=0). For the slope, we will use the points (0,2) and (3,5) to calculate it as follows: m = (y2-y1)/(x2-x1) = (5-2)/(3-0) = 1 For the y-intercept, we can note that at x=0, the value of y is 2. This means that the equation of the first part of the graph is: y = x + 2

Read more at Answer.Ya.Guru – https://answer.ya.guru/questions/703068-which-rules-define-the-function-graphed-below.html

8 0

3 years ago

Vijay missed 12 out of his last 16 free throws. Considering this data, how many of his next 20 free-throw attempts would you exp

PilotLPTM [1.2K]

The fraction computed shows that the number of his next 20 free-throw attempts that you expect Vijay to miss is 15.

<h3>How to solve the fraction?</h3>

From the information given, Vijay missed 12 out of his last 16 free throws. The fraction missed will be:

= 12/16

= 3/4

Therefore, the number of his next 20 free-throw attempts that you expect Vijay to miss will be:

= 3/4 × 20

= 15

Learn more about fractions on:

brainly.com/question/78672

5 0

2 years ago

Consider the limaçon with equation r = 3 4cos(θ). how does the quotient of a and b relate to the existence of an inner loop?

Delicious77 [7]

If the equation is r = 3 +4cos(θ) then because b/a>1 the curve is a limacon with an inner loop.

Given limacon with equation r=3+4cos(θ) and we have to answer how the quotient of a and b relate to the existence of an inner loop.

Equation is like a relationship between two or more variables expressed in equal to form and it is solved to find the value of variables.

formula of polar graph is similar to r= a+ b cos (θ).

Case 1. If a1

then the curve is a limacon with inner loop.

Case 2. If a>b or b/a<1

Then the limacon does not have an inner loop.

Here given that $r=3+4cos$ (θ)

It is observed that , a1

Therefore the curve is limacon with an inner loop.

Hence because b/a>1 the curve is a limacon with an inner loop.

Learn more about limacon at brainly.com/question/14322218

#SPJ4

5 0

2 years ago

Which step is the same in the construction of parallel lines and the construction of a perpendicular line through a point on the

madam [21]

Answer:

D.Place the compass on a point on the original line.

Complete Question:

A.Create only one arc that intersects the original line.

B.Create two arcs that intersect the original line.

C.Place the compass on a point off the original line.

D.Place the compass on a point on the original line.

Step-by-step explanation:

* Lets revise the steps of constructing parallel lines and a perpendicular line through a point on the line

# Contracting parallel lines

- Given: Line AB and point P not on AB

1. Draw a slant line through point P and intersects AB at point C, this line is the transversal of the parallel lines

2. Place the pin of the compass at point C and draw an arc intersects AB at D and CP at E

3. Without changing the distance of the compass put the pin of the compass on point P and draw an arc intersects CP at point Q

4. Use the compass to measure the distance from D to E and place the pin of the compass at point Q and draw an arc intersects the arc from P to CP at point U

5. Join P and U by a line this line is parallel to AB

# Constructing a perpendicular line through a point on the line

- Given line AB and point P lies on it

1. Place your compass pin at P and draw an arc of any size below AB that crosses the line twice at points C and D

2. Stretch the compass to a larger distance

3. Place the compass pin on point C and draw a small arc above the line

4. Without changing the distance of the compass place the compass pin on point D and draw another arc intersects the arc from C at point E

5. Using a straightedge, join P and E where PE is perpendicular to AB

* Lets find the same steps in the constructions

∵ In first construction we put the pin of the compass at point C which lies in the original line AB

∵ In second construction we put the pin of the compass at point P which lies in the original line AB

∴ The common step is: "Place the compass on a point on the original line"

6 0

3 years ago

Read 2 more answers