All categories

9 months ago

Find the angle measure indicated. Assume that lines which appear to betangent are tangent.114?

Mathematics

1 answer:

joja [24]9 months ago

3 0

EXPLANATION

Applying the Angles in Circles Theorem we can assevere that the measure of the unknown angles is given by the difference between 360 (By the Sum of Interior Angles of a Quadrilateral Theorem) and the angle 114 with both right angles.

? = 360 -114 - 90 - 90

? = 66 degrees

The answer is 66 degrees

You might be interested in

Prove identity trigonometric equation

irina [24]

Explanation:

The given equation is False, so cannot be proven to be true.

Perhaps you want to prove ...

$2\tan{x}=\dfrac{\cos{x}}{\csc{(x)}-1}+\dfrac{\cos{x}}{\csc{(x)}+1}$

This is one way to show it:

$2\tan{x}=\cos{(x)}\dfrac{(\csc{(x)}+1)+(\csc{(x)}-1)}{(\csc{(x)}-1)(\csc{(x)}+1)}\\\\=\cos{(x)}\dfrac{2\csc{(x)}}{\csc{(x)}^2-1}=2\cos{(x)}\dfrac{\csc{x}}{\cot{(x)}^2}=2\dfrac{\cos{(x)}\sin{(x)}^2}{\cos{(x)}^2\sin{(x)}}\\\\=2\dfrac{\sin{x}}{\cos{x}}\\\\2\tan{x}=2\tan{x}\qquad\text{QED}$

We have used the identities ...

csc = 1/sin

cot = cos/sin

csc^2 -1 = cot^2

tan = sin/cos

4 0

2 years ago

The sum of two numbers is 61 . The larger number is 5 more than the smaller number. What are the numbers?

Elanso [62]

Answer:

35.5 and 25.5

Step-by-step explanation:

all you have to do is take 61÷2=30.5 and you add five to one of the halves, and subtract five form the other.

61÷2= 30.5

30.5+5= 35.5

30.5-5= 25.5

6 0

3 years ago

How do you write 4/ 9 as a decimal?

olasank [31]

Answer:

.4 repeating

Step-by-step explanation: divide the top number by the bottom number so 4 divided by 9

7 0

2 years ago

The average score of all pro golfers for a particular course has a mean of 70 and a standard deviation

Lisa [10]

Answer:

Step-by-step explanation:

8 0

1 year ago

A car travels at an average speed of 48 miles per hour. How long it take to travel 156 miles

Vikentia [17]

Answer:

3.25 h = 3 h 15 m

Step-by-step explanation:

156 mi * 1h/48 mi = 3.25 h = 3 h 15 m

3 0

3 years ago

Read 2 more answers