Answers
9514 1404 393
Answer:
16. 134°
17. 20°
18. 94°
Step-by-step explanation:
An inscribed angle is half the measure of the arc it intercepts.
__
16. Arc QT is twice the measure of inscribed angle QST, given as 67°.
Arc QT = 2×67°
Arc QT = 134°
__
17. Angle STR is half the measure of arc SR, so is ...
m∠STR = (arc SR)/2 = 40°/2
m∠STR = 20°
__
18. Arc RST is a semicircle, so has a measure of 180°. Then arc ST is the difference between that and arc RS:
arc ST = 180° -40° = 140°
Angle RST subtends a semicircle, so is 180°/2 = 90°. We know angle QST is 67°, so the remaining portion, angle QSR must be the complement of that:
m∠QSR = 90° -67° = 23°
Arc RQ will be twice this measure, or 46°.
So, the desired difference is ...
mST -mRQ = 140° -46° = 94°
Related Questions
A jet flew from New York to Los Angeles, a distance of 4,200 kilometers. Then it completed the return trip.
The speed for the return trip was 100 kilometers/hour faster than the outbound speed. This expression,
where x is the speed for the outbound trip, represents the situation.
4,200
4,200
T +
5 + 100
Which expression could be a step in rewriting this sum?
Answers
Answer:
the answer of this qst is A
Applying the least common multiple, the fraction is rewritten as
[tex]\frac{4200(x+100)}{x(x+100)} + \frac{4200x}{x(x+100)}[/tex]
Which is option A.
---------------------------------------
The fraction given is:
[tex]\frac{4200}{x} + \frac{4200}{x + 100}[/tex]
When two fractions with different denominators are added, the first step is finding the least common multiple of the denominators. The lcm of x and x + 100 is x(x + 100), thus we use it to factor the fraction.
[tex]\frac{4200}{x} + \frac{4200}{x + 100} = \frac{4200\frac{x(x+100)}{x}}{x(x+100)} + \frac{4200\frac{x(x+100)}{x+100}}{x(x+100)} = \frac{4200(x+100)}{x(x+100)} + \frac{4200x}{x(x+100)}[/tex]
Which is option A.
A similar problem is given at https://brainly.com/question/17165235
Write the slope intercept form of the equation of each line given the slope and y intercept
Answers
Answer:
11) y= -1x-2
12) y= 3/2x+3
13) y= 3x-2
14) y= 3/4x+1
15) y= 1/2x+1
16) y= -2/5x+0
17) y=7x+2
18) y= 4/3x-4
Step-by-step explanation:
y=mx+b
m is slope and b is y intercept
Which of the following tables has a slope of zero?
Answers
Answer:
A
Step-by-step explanation:
convert y=3x-2 to standard form
Answers
Answer:
y = 3 x−2
Step-by-step explanation:
The design plans for a new concert hall shows elevations relative to the ground level at 0 feet. The elevation of the balcony is 37 feet and the elevation of the basement floor is -17 feet. Full in the blanks to write the distance of the balcony and basement from ground level
Answers
Answer:
54 feetStep-by-step explanation:
The distance from the balcony to the ground level = 37 - 0 = 37ft
The distance from the basement floor to the ground level = 0 - (-17) = 17 feet
the distance of the balcony and basement from ground level will be the sum of the distances gotten = 37 - (-17)
= 37 + 17
= 54 feet
Hence the distance of the balcony and basement from ground level is 54 feet
Find exact values of a trigonometric function
Answers
Answer:
you didnt put a pic bro how can we answer
Pls help me ill give brainliest
Do all 3 pls to get brainliest
Answers
Answer:
16.) c. 2x²+7x-15
17.) c. [tex]y=\frac{4}{9}x+\frac{17}{9}[/tex]
18.) D
Step-by-step explanation:
have a wonderful day! :D
1. If 4 lbs of apples cost $36, How much would 2 lbs cost?
Answers
Answer:
18
Step-by-step explanation:
divide 36 by 2
Answer:
18
Step-by-step explanation:
36/4=9
1lb=9
2lbs=18
Let gbe a function such that g(x) = -2r + 5 and is defined on the domain (-1,3) State the range of this function in interval notation.
Answers
Answer:
The range interval is: (7, -1)
Step-by-step explanation:
Given the function
g(x) = -2r+5
As the domain is (-1, 3)Let us put the domain values in the interval (-1, 3)
Putting x = -1
g(x)=-2r+5
= -2(-1)+5
= 2+5
= 7
Putting x = 0
g(x)=-2r+5
= -2(0)+5
=0+5
= 5
Putting x = 1
g(x)=-2r+5
= -2(1)+5
=-2+5
= 3
Putting x = 2
g(x)=-2r+5
= -2(2)+5
=-4+5
= 1
Putting x = 3
g(x)=-2r+5
= -2(3)+5
=-6+5
= -1
Thus the range interval is: (7, -1)
-3x-6y=6 y=x+8 infinite solution no solution one solution
Answers
Answer:
3x-6y=6
y=x+8
3x - 6(x+8) = 6
3x - 6x - 48 = 6
-3x - 48 = 6 / +48
-3x = 54 // -3
x = - 18
y = -18 +8 = 10
Step-by-step explanation:
could someone explain please? i will give brainliest thank you so much.
Answers
Answer:
Answer is A.44
Step-by-step explanation:
So we multiplying 18*2 to find a measure 18*2=36
so we know that 18*2 is equal to 36 but we now that we have 13 so. we take 36+12=44
Match the number to the quadrant they are on in the complex plane.
4 + 41
-7 +3i
9 - 181
-1 - 31
Answers
Answer: 44
4
13
Step-by-step explanation:
Please feel free to help if not i can figure it out, thank you.
Answers
Answer:
A makes the most sence cbwt
Step-by-step explanation:
what is the value of the expression PLS? HURRY I give 17 points and brainliest
Answers
Answer: -77[tex]\frac{5}{8}[/tex]
Step-by-step explanation:
The temperature falls from -7°C to -20°C. What is the change in these temperatures?
Answers
Answer:
13 degrees Celsius
Step-by-step explanation:
To solve this question, you need to subract -20 from - 7.-7-(-20) is 13.
PLEASE HURRY!!
Juan's cell phone company charges $35 a month for phone service plus $0.50 for each
text message. How many text messages does Juan send in a month if his bill was $52?
1.
Define the variable:
2.
Determine the constant:
3
What is the rate:
4
Write the equation and solve:
Answers
Juan sent 34 text messages.
First, you have to subtract 35 from 52. The answer you should get is 17. If you divide 17 by $.50 you should get 34.
Find the value of c that completes the square for the function f(x)= x2 + 4x + C.
Your answer:
- 4
4
16
81/
4
Answers
Answer:
[tex] = - 4 \times 2 + 4 \times ( - 4) + c \\ = - 8 - 16 + c \\ = 24 + c \\ \frac{ - c}{ - 1} = \frac{24}{ - 1} \\ c = - 24[/tex]
Given a polynomial f(x), if (x + 5) is a factor, what else must be true?
f(0) = 5
Ob
f(0) = -5
Ос
f(5) = 0
Od
f(-5) = 0
Answers
Answer:
As
[tex]p(-5) = 0[/tex]
Thus, the correct option is 'd'.
Step-by-step explanation:
We know that the special theorem of remainder states that:
if
[tex]x-k[/tex] is a factor of [tex]p(x)[/tex]
then
[tex]p(k) = 0[/tex]
so
[tex]x+5 = x-(-5)[/tex]
[tex]k = -5[/tex]
Thus,
[tex]p(k) = 0[/tex]
[tex]p(-5) = 0[/tex]
Thus, the correct option is 'd'.
if I have a bottling machine that fills 15 bottles of water every 6 seconds, what is my unit rate and what would be my slope on a graph?
Answers
Answer:
Please check the explanation.
Step-by-step explanation:
We know that the unit rate is termed as the slope of the line.
We also know that the slope is normally represented by a fraction which may be expressed as a unit rate found at the point on the graph.
We are given that a bottling machine fills 15 bottles of water every 6 seconds.
We want a unit rate where 1 is in the denominator.Thus,
unit rate = 15 bottles / 6 seconds
= 2.5 bottles / 1 second
= 2.5 bottles per second
Thus,
The unit rate = 2.5 bottles per second
We know that the unit rate represents the slope of the line which is normally represented by a fraction or ratio.
Therefore,
Slope = 15 / 6
= 2.5
A boat on a river travels downstream between two points, 90 mi apart, in 1 h. The return trip against the current takes 2 1 2 h. What is the boat's speed (in still water)?
Answers
Answer:
A)63miles per hour.
B)27 miles per hour
Step-by-step explanation:
HERE IS THE COMPLETE QUESTION
boat on a river travels downstream between two points, 90 mi apart, in 1 h. The return trip against the current takes 2 1 2 h. What is the boat's speed (in still water)??b) How fast does the current in the river flow?
Let the speed of boat in still water = V(boat)
speed of current=V(current)
To calculate speed of boat downstream, we add speed of boat in still water and speed of current. This can be expressed as
[V(boat) +V(current)]
It was stated that it takes 1hour for the
boat to travels between two points of 90 mi apart downstream.
To calculate speed of boat against current, we will substact speed of current from speed of boat in still water. This can be expressed as
[V(boat) - V(current)]
and it was stated that it takes 2 1/2 for return trip against the Current
But we know but Speed= distance/time
Then if we input the stated values we have
V(boat) + V(current)]= 90/1 ---------eqn(1)
V(boat) - V(current) = 90/2.5----------eqn(2)
Adding the equations we have
V(boat) + V(current) + [V(boat) - V(current)]= 90/2.5 + 90/1
V(boat) + V(current) + V(boat) - V(current)]=90+36
2V(boat)= 126
V(boat)=63miles per hour.
Hence, Therefore, the speed of boat in still water is 63 miles per hour.
?b) How fast does the current in the river flow?
the speed of the current in the river, we can be calculated if we input V(boat)=63miles per hour. Into eqn(1)
V(boat) + V(current)]= 90/1
63+V(current)=90
V(current)= 27 miles per hour
Hence,Therefore, the speed of current is 27 miles per hour.
2) What is the ratio of sixth-grade students who had been to a baseball game to the number
of students who had traveled on an airplane OR own either a cat or a dog? (Write the ratio
in THREE ways)
Answers
Answer:
There isn't a graph or more information to use to find the ratio but I'll put here 3 ways to write a ratio so hopefully that might help. If more information is added later I will edit the answer.
Step-by-step explanation:
First way:
Use the word "to". For example: 2 to 4.
Second way:
Use a fraction. For example: 2/4.
Third way:
Use a colon. For example: 2:3.
The box plot below represents the number of hours Judy takes to complete a quilt.
++
22
24
26
28
34
36
38
40
30
32
Hours per Quilt
Which data set could be represented by this box plot?
O A. 39.32, 29, 22, 33, 29, 25, 37, 34
ОВ.
22, 27, 38, 34, 24, 32, 33, 30, 39
OC. 32, 36, 27, 30, 22, 35, 39, 28, 34
w
OD. 25, 36, 30, 32, 34, 39, 22, 29, 36
Answers
I need help with this one
Answers
What is the value of 24 - (-6 - (5 + 8))?
Answers
Answer:
43
Step-by-step explanation:
Simply follow PEMDAS.
24 - (-6 - (5 + 8))
24 - (-6 - 13)
24 - (-19)
24 + 19
= 43
Elena gets a base pay of $1,500 per month. She also earns a commission of 8% of the total sale dollars that she sells. What is Elena's earnings for a month in which she has sales of $32,000?
Answers
Answer:
4060
Step-by-step explanation:
because 8 percent of 32000 is 2560.
then you add 2560 and 1500 and you get 4060!
hope this helps!!
While Matt was building a new home, he built an area of 180 square feet. He cut two 8 foot by 4-
foot windows on the wall. How much wall was left over after he cut out the windows?
Answers
Answer:
16 square feet was left over after he cut out the windows
Step-by-step explanation:
The formula of the area of a rectangle is A = l × w, where
l is the length of the rectanglew is the width of the rectangle∵ The dimensions of each window are 8-foot by 4-foot
∴ l = 8 feet and w = 4 feet
→ By using the rule above find the area of each window
∵ A = 8 × 4
∴ A = 32 feet²
∴ The area of each window = 32 feet²
∵ He cut 2 windows
∴ The area of the 2 windows = 2 × 32
∴ The area of the 2 windows = 64 feet²
∵ The area of the wall is 80 feet²
→ To find the area of the wall left, subtract the area of the windows from
the area of the wall
∵ The area left = 80 - 64
∴ The area left = 16 feet²
∴ 16 square feet was left over after he cut out the windows
The Happy Day Summer Camp is having a basketball tournament. Seventy-five campers
are participating. If each team has 5 players, how many teams will be playing in the
tournament?
18
8
15
25
Answers
3) Round answer to the nearest hundredth. *
14 points
A right triangle has one leg with a length of 18 mm and a hypotenuse with a length of 82 mm.
What is the length of the other leg?
Your answer
Answers
Answer:
80 mm
Step-by-step explanation:
Pythagorean theorm can be applied here to solve for the length of the last leg, [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex], where (a) and (b) are the legs of the triangle and (c) is the hypotenuse. We can rearrange the pythagorean theorm for our purposes like the following:
b = √c^2 - √a^2
= √(82)^2 - √(18)^2
= √6724 - √324
= √6400
= 80 mm
The points (-5, 5) and (5, r) lle on a line with slope -3. Find the missing coordinate r.
Answers
Answer:
r = -25
Step-by-step explanation:
slope is change in "y" over change in "x"
so whatever your change in "x" is between the two points, the change in "y" needs to be in proportion to the slope of -3.
Here the change in "x" is +10, and to make the proportion of the slope equal to -3, the change in "y" needs to be -30.
Starting from the "y" coordinate of 5, a change in "y" of -30 will give you r = -25
So the two points are (-5, 5) and (5, -25)
Last year Lucy made $87.32 house-sitting for a neighbor and $82.29 mowing lawns. How much money did she earn in all?
Answers
Answer:
$169.61
Step-by-step explanation:
X = 87.32 + 82.29
X = 169.61
Answer:
$169.61
Step-by-step explanation:
87.32+82.29=169.61
need brainlyest plz