1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nostrana [21]
3 years ago
5

2. In the diagram below, secants PT and PU have been drawn from exterior point P such that the four arcs

Mathematics
1 answer:
scoundrel [369]3 years ago
8 0

Answer:

(a) x = 30°

(b) mRS =  30°

mST =  120°

mTU  = 120°

mUR = 90°

Step-by-step explanation:

(a) In the picture attached, the diagram is shown.

Given that m arc RS = x, from the ratios:

m arc ST = 4x

m arc TU = 4x

m arc UR = 3x

The addition of the four arcs must be equal to 360°, then:

x + 4x + 4x + 3x = 360°

12x = 360°

x = 360°/12 = 30°

(b) m arc RS = x = 30°

m arc ST = 4x = 4*30° = 120°

m arc TU = 4x = 4*30° = 120°

m arc UR = 3x = 3*30° = 90°

You might be interested in
A pile of newspapers in Ms.
xz_007 [3.2K]

Answer:

102

Step-by-step explanation:

4times 7=28. 28times4=102

7 0
3 years ago
A patient is instructed to take three 50-mcg tablets of pergolide mesylate (Permax) daily. How many milligrams of the drug would
Black_prince [1.1K]

Answer:

The patient would receive 1.05mg of the drug weekly.

Step-by-step explanation:

First step: How many mcg of the drug would the patient receive daily?

The problem states that he takes three doses of 50-mcg a day. So

1 dose - 50mcg

3 doses - x mcg

x = 50*3

x = 150 mcg.

He takes 150mcg of the drug a day.

Second step: How many mcg of the drug would the patient receive weekly?

A week has 7 days. He takes 150mcg of the drug a day. So:

1 day - 150mcg

7 days - x mcg

x = 150*7

x = 1050mcg

He takes 1050mcg of the drug a week.

Final step: Conversion of 1050 mcg to mg

Each mg has 1000 mcg. How many mg are there in 1050 mcg? So

1mg - 1000 mcg

xmg - 1050mcg

1000x = 1050

x = \frac{1050}{1000}

x = 1.05mg

The patient would receive 1.05mg of the drug weekly.

6 0
3 years ago
Find the amount and the compound interest on 62500 for1*1/2 years at 8% compounded half-yearly
Anettt [7]

principal (p)=62500,Time (T)=1.5 years,Rate (R)=8% Ammount=p (1+R÷100) =62500 × 1.1664 =72900 again, compound interest = p(1+R÷100)-1=62500×0.1664 = 10400

3 0
2 years ago
Which person has the lowest ratio of blue to red marbles?
kobusy [5.1K]
Answer is option(3.)

5 0
3 years ago
Read 2 more answers
3 times a number is 54 less than the square of that number. Find the negative solution.
Pavel [41]

Answer:

x=-6

Step-by-step explanation:

Let x be the number

3x = x^2 -54

Subtract 3x

3x-3x = x^2 -3x-54

0 = x^2 -3x-54

Factor

What 2 numbers multiply to -54 and add to -3

-9*6 = -54

-9+6 = -3

0=(x-9) (x+6)

Using the zero product property

x-9=0    x+6=0

x=9  x=-6

The questions asks for the negative solution

x=-6

3 0
3 years ago
Other questions:
  • If the future value of an annuity due is $25,000 and $24,000 is the future value of an ordinary annuity that is otherwise simila
    8·1 answer
  • Elliott's bed is 75 inches long. During his growth spurt, Elliott grew 6 inches. Before his growth spurt, he was 5 feet 11 inche
    12·1 answer
  • Which is not in the form of a ratio​
    13·1 answer
  • The expression -6x-7(4+3x)is equivalent to
    12·1 answer
  • Which of these statements is best? The errors in a regression model are assumed to have an increasing mean. The regression model
    5·1 answer
  • Is 0 greater than or equal to 45 True or False
    14·1 answer
  • You and your friend walk to school together every day. You meet at the halfway point between your houses first and then walk to
    7·1 answer
  • ANSWER QUICK!
    14·1 answer
  • Please need help fast thank you. The problem is in the picture.
    8·2 answers
  • ANSWER ONLY IF U KNOW, OR THINK U KNOW.<br><br><br> (ILL MARK U BRAINLIEST)
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!