Answer:
a) x = 30°
b) mRS = x = 30°
mST = 4x = 4(30°) = 120°
mTU = 4x = 4(30°) = 120°
mUR = 3x = 3(30°) = 90°
Question:
The complete question as found on Chegg website:
In the diagram below, secants PT and PU have been drawn from exterior point P such that the four arcs
intercepted have the following ratio of measurements:
mRS : mST :MTU : mUR=1:4:4:3
(a) If mRS = x, then write an equation that could be used to solve for x
and find the value of x.
(b) State the measure of each of the four arcs.
mRS =
mST =
MTU
MUR =
Step-by-step explanation:
Find attached the diagram related to the question
mRS : mST : mTU : mUR = 1:4:4:3
Since mRS = x
Writing the ratios of the measure of angle in terms of mRS:
mST = 4× mRS = 4×x = 4x
mTU = 4× mRS = 4×x = 4x
mUR= 3× mRS = 3×x = 3x
The sum of measure the 4 measures of arc = 360° (sum of angle in a circle)
mRS + mST + mTU + mUR = 360°
x + 4x + 4x + 3x = 360
12x = 360
x = 360/12
x = 30°
b) The measure of angle
mRS = x = 30°
mST = 4x = 4(30°) = 120°
mTU = 4x = 4(30°) = 120°
mUR = 3x = 3(30°) = 90°
To find an average you add all numbers together then divide by the amount of numbers that you added. So if there are 4 numbers you would divide by 4. By going backwards you can find the answer. Multiply 5 by 4 and you get 20, which is the answer.
Answer: 3/4
Step-by-step explanation:
4/4 - 1/4 = 3/4
X^2-6x=13
(x-3)^2-9=13
(x-3)^2=22
(x-3)= +-sqrt22
x = sqrt22+3 or x = -sqrt22+3
Answer/Step-by-step explanation:
How many total fish is Dr. Howser planning on buying?
BOTH tanks hold 120 gallons
Tank A :
3 every 10 --> 120/10 ---> 12
So multiply 3 and 12 ----> 36
36 fishes in tank A
Tank B:
6 every 40 -----> 120/40 ----> 3
So multiply 6 by 3 ----> 18
18 fishes are held in tank B
Add them together:
18 + 36 ----> 54
ANSWER : Dr. Howser is planing on purchesing 54 fish all together.
What will be the ratio of the number of small fish he buys to the number of large fish that he buys
Small ---> 36 fish
Large ---> 18 fish
Small : Large ----> 36:18
ANSWER: 36:18
if you need it siplified it would be 2:1