Four students explain how to find the measure of ZRST in this diagram.
S
75°
53 R
т
Which student correctly explains how to find the measure of ZRST given the angle measures shown?
A Amy says to use vertical angles to find the measure of ZSRT and add this measure to 75º.
® Brett says to use complementary angles to find the measure of ZSRT and add this measure to 75º.
© Cate says to use vertical angles to find the measure of ZSRT, add this measure to 75º. and then subtract
from 180
D Dylan says to use complementary angles to find the measure of ZSRT, add this measure to 75°, and then
subtract the sum from 180°
Answers
Answer:
To find the angle RST we have to first find SRT As the exterior angle adjoined with SRT =53°
so the SRT = Outer angle adjoined with angle SRT
angle SRT = 53° [°.° vertically opposite angles are equal]
Angle SRT + Angle STR + Angle RST = 180°
=>53° + 75° + Angle RST =180°
=> 128° + Angle RST = 180°
=> Angle RST =(180-128)°
= 52°
SO NO. C IS correct what Cate says is absolutely right
Related Questions
David measures a side of a piece of wood. The length is 8 feet and the width is one-half of the
length. What is the area, in square feet, of the piece of wood?
Formula:
Area = Length x Width
Answers
Answer:
32
Step-by-step explanation:
8÷2=4 8(length)x4(width)=32(area)
52x33 please help lol
Answers
Answer:
1716.
Step-by-step explanation:
52 x 33 = 1716
anybody know the answer to this??
Answers
Answer:
B. 2/3 because the probability of selecting a quarter is 1/3
Step-by-step explanation:
Find the total coins in the purse: 10 + 6 + 5 + 9 = 30. Now find out how many are not quarters: 10 are quarters, 30 - 10 = 20. The probability is 20/30, or 2/3,
Help I don't think any of them is the correct answer!
Answers
I'm not to sure because neither of these makes sense
In the data set y = 7, 1, 5, 2, 5, 5, what is the frequency of 5?
Answers
Answer:
3
Step-by-step explanation:
Frequency of a data set is the number of teams it appears, and thus, the frequency of 5 in this set is 3.
PLEASE HELP ASAP
Complete the following Truth Table
p q r ~p ∧ ~q ∨ r
T T T (a)
T T F (b)
T F T (c)
T F F (d)
F T T (e)
F T F (f)
F F T (g)
F F F (h)
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
We take ~p∧~q∨r to mean (~p∧~q)∨r because "and" normally has precedence over "or." The (~p∧~q) term will only come into play when both p and q are false. It will only affect the outcome if r is also false. This condition is the last line of the table.
Which of the fractions shown has the greatest value?
24
47
13
49
Answers
i’m pretty sure it should be 49..?
Find the surface area of the regular pyramid
Answers
Answer:
26.8
Step-by-step explanation
What will happen to a cup of water if it is left in the sun for an extended amount of time? A. It will increase in volume B. It will decrease in volume C. It will stay the same volume
Answers
Answer:
c
Step-by-step explanation:
correct me if I'm wrong
Answer:
B-It will decrease in volume
Step-by-step explanation:
If I am not mistaken, the water, if left in the sun, will evaporate when heated, so the volume will decrease.
the difference of x and y is the same as 3 times the sum of x and 2
Answers
Answer:
x - y = 3(x + 2)
x - y = 3x + 6 is the simplified answer and is also correctStep-by-step explanation:
The difference of x and y is the same as 3 times the sum of x and 2
x - y = 3(x + 2)
x - y = 3x + 6
Alexa and Savannah are both driving along the same highway in two different cars to
a stadium in a distant city. At noon, Alexa is 600 miles away from the stadium and
Savannah is 350 miles away from the stadium. Alexa is driving along the highway at a
speed of 50 miles per hour and Savannah is driving at speed of 25 miles per hour. Let
A represent Alexa's distance, in miles away from the stadium t hours after noon. Let
S represent Savannah's distance, in miles, away from the stadium t hours after noon.
Graph each function and determine how far both Alexa and Savannah are from the
stadium at the moment they are an equal distance from the stadium.
Answers
S=350-25t
600-50t = 350-25t
600=350+25t
250=25t
t=10 hrs when they are the same distance.
At 10 hrs, they are 100 miles away from the stadium
Write the equation of a linear function that has a slope of ‒3 and a y-intercept of ‒2.
Answers
Answer:
y=-3x-2
Step-by-step explanation:
Which equation represents a line that is parallel to the line y = - 4x +5?
(1) y = - 4x + 3
(2) y=1/4x+3
(3) y=-1/4x+5
(4) y = 4x +5
Answers
slope is still the same so it would be parallel to that line. Only the y-intercept is different so it would just pass through a different point
option 1 is the answer.
What is the mean 4,6,8,20,12
Answers
Answer:
the mean is 10
Step-by-step explanation:
4+6+8+20+12=50
50÷5=10
so the mean is 10
Which expression is equivalent to −1/2(14x − 38)?
Question 4 options:
1/8x − 38
−1/8x + 316
−1/8x + 38
1/8x − 316
Answers
Answer: -1/8k +38
Step-by-step explanation:
i need help please
...... no linksssssssssss
Answers
Answer:
What do you want us to find???
Step-by-step explanation:
Find the surface area of the rectangular prism.
4 yd
(2 yd
1 yd
Answers
Answer:
4 x 2 x 1 = 28
Step-by-step explanation:
12
i hope this helped sorry if it's wrong but i wish you luck (i am not good with math)
In general, the larger a sample is: a. The more difficult it becomes to avoid atypical cases. b. The greater the standard deviation becomes. c. The smaller the standard deviation becomes. d. The more closely it represents the population. e. The more likely it is that it will be biased.
Answers
Answer:
d
Step-by-step explanation:
Larger samples more closely resemble the population from which they come.
Think of the difference between sampling hundreds of people from a town, perhaps asking them if they've ever ordered fast food. If you go to McDonald's and ask customers as they come out, you wouldn't expect those answers to represent the entire population of the town, right?
Cube X has Edge 1 in. tube why has an edge 4in longer than Cube X. which of the following describes the relationship between the cubes?
a. the volume of cube why is 125 times the volume of cube X
b. the volume of cube why is 25 times the volume of Cube X
c. the volume of cube x is 1/4 the volume of Cube Y
d. the volume of cube x is 1/5 the volume of Cube Y
Answers
9514 1404 393
Answer:
a. the volume of cube y is 125 times the volume of cube x
Step-by-step explanation:
The volume of cube x is ...
V = s³ = (1 in)³ = 1 in³
The volume of cube y is ...
V = (1 in + 4 in)³ = (5 in)³ = 125 in³
The volume of cube y is 125 times the volume of cube x.
Aaron was offered a job that paid a salary of \$57,000$57,000 in its first year. The salary was set to increase by 1% per year every year. If Aaron worked at the job for 29 years, what was the total amount of money earned over the 29 years, to the nearest whole number?
Answers
Answer:
The total amount received is: $1906650
Step-by-step explanation:
Given
[tex]a = \$57000[/tex] --- initial
[tex]b = 1\%[/tex] --- rate
[tex]n = 29[/tex] --- time
Required
Determine the total amount at the end of 29 years
The given question is an illustration of geometric progression, and we are to solve for the sum of the first n terms
Where [tex]n = 29[/tex]
[tex]r = 1 + b[/tex]
[tex]r = 1 + 1\%[/tex]
Express percentage as decimal
[tex]r = 1 + 0.01[/tex]
[tex]r = 1.01[/tex]
The required is the calculated using:
[tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex]
So, we have:
[tex]S_n = \frac{57000 * (1.01^{29} - 1)}{1.01 - 1}[/tex]
[tex]S_n = \frac{57000 * (1.3345- 1)}{0.01}[/tex]
[tex]S_n = \frac{57000 * 0.3345}{0.01}[/tex]
[tex]S_n = \frac{19066.5}{0.01}[/tex]
[tex]S_n = 1906650[/tex]
The total amount received is: $1906650
2. A red ribbon is 41m long and a blue
ribbon is 97m long
What is the total length of the ribbons?
s
Answers
Answer:
138
Step-by-step explanation:
because 41 + 97 is 138
Which is a shrink of an exponential growth function?
f(x) = One-third(3)x
f(x) = 3(3)x
f(x) = One-third (one-third) Superscript x
f(x) = 3 (one-third) Superscript x
Answers
Answer:
3 zero
Step-by-step explanation:
Answer:
The correct answer is A
Step-by-step explanation:
Hope This Helps
The current altitude of the plane is 15400 feet above the ground and the plane's horizontal distance to the airport is 200000 miles away. What angle of depression must the pilot make on his descent in order to safely land on the runway>
Answers
Answer:
0.441°
Step-by-step explanation:
tan = 1540/200000
tan = 0.0077
tan-1(0.0077) = 0.441
angle of depression is 0.0441°
the graph of the square root parent function f(x)= [tex]\sqrt{x} \\[/tex] is horizontally compressed by a factor of 1/3, translated right by 3 units, and translated down 5 units to yield g(x). which function can be used to representg(x)?
Answers
Answer:
my brain exploded trying to answer it sorry
Step-by-step explanation:
dang
True or False:
In the diagram, ∠1 and ∠2 are adjacent angles.
Explain your thinking.
Answers
Answer:
false
Step-by-step explanation:
adjacent angles should share a common arm and a common vertex. no arms are common and vertex of first angle is CAB whereas the vertex of second angle is DAE
Answer: false
Step-by-step explanation:
Adjacent angles are angles share the same vertex and the same common side. They are two angles that are right next to each other.
Find the mode of the following: 75, 93, 89, 75
Answers
Answer:
75
Step-by-step explanation:
The mode is the number that appears most often!
Good luck!!!
Answer:
75
Step-by-step explanation:
The mode is the number that occurs most in the data set. In this case, 75 occurs 2 times.
hope this helped!
VERY URGENT PLS LOOK AT PICTURE
Answers
Answer:
Number of year = 25 year and 7 month (Approx.)
Step-by-step explanation:
Given:
Amount deposit = $200,000
Future amount = $1,000,000
Rate of interest = 6.5%
Find:
Number of year
Computation:
Using compound amount formula;
A = P[1+r]ⁿ
1,000,000 = 200,000[1+6.5%]ⁿ
1,000,000 / 200,000 = [1+6.5%]ⁿ
5 = [1+0.065]ⁿ
n = 25.557
Number of year = 25.557
Number of year = 25 year and 7 month (Approx.)
Complete the dilation centered at point G with a scale factor of 2.
Answers
Answer:
G=(-4,5)
G=(2*-4,2*5)
G=(-8,10)
Step-by-step explanation:
Show all 4 steps of the following:
x - 3/5= 1/6
Answers
Answer: x=23/30
Step-by-step explanation: Hope this help :D
Sara has just purchased a house. She has a $360,000, 30-year mortgage with interest at an annual rate of 5.5% a year, compounded continuously.
(a) Assume that Sara pays her mortgage continuously with a fixed amount, then her monthly payment is $___.
(b) If she pays an extra $300 each month, then she can pay off the mortgage in about years and months.
(c) Sara can save about $____by paying an extra $300 each month.
Answers
Answer:
a) $2043.14
b) 22.19 years
c) $113,995.6
Step-by-step explanation:
Value of Mortgage ( P ) = $360,000,
Loan Tenure = 30 years
Annual Interest rate = 5.5% = 0.055
monthly interest rate ( m ) = 0.055 / 12 = 0.00458
number of payments ( n ) = 30 * 12 = 360
a) Determine Sara's monthly payment given that Sara pays continuously at a fixed amount
Monthly payments ( M ) = ( P * m ( 1 + m )^n ) / (( 1 + m )^n - 1 )
= ( 360,000 * 0.00458 ( 1.00458)^360 / ((1.00458)^360 - 1 )
= $2043.14
b) when she pays a n extra $300 every month determine time ( n ) when she can pay off the mortgage
i.e. M = 2034.14 + 300 = $2334.14
calculate the value of n from the equation below
M = ( P * m ( 1 + m )^n ) / (( 1 + m )^n - 1 )
n = - In | 1 -(( Pm) /M )) |/ In | 1 + m |
= -In | 1 - (( 360,000 * 0.00458) / 2334.14 )) | / 0.0045
= -In ( 1 - 0.70638436 ) / 0.0045
= 1.225 / 0.0046 = 266.30 months = 22.19 years
c) Determine how much Sara can save
Total amount paid using fixed monthly payment = 2043.14 * 30 * 12 = $735,530.4
Total amount paid by adding an extra $3000 each month
= 2334.14 * 22.19 * 12 = $621,534.80
amount saved = 735,530.4 - 621,534.80 = $113,995.6