Q # 7.Write a congruence statement for the pair of triangles
Can adjacent angles be supplementary complementary or neither
Answer:
Supplementary angles are two angles whose sum is 180 degrees while complementary angles are two angles whose sum is 90 degrees. Supplementary and complementary angles do not have to be adjacent
Step-by-step explanation:
Mrs.Alvarado gets a raise that increases their income to $6,500 a month. Their mortgage stays the same. What percent of their monthly income do they now spend on the mortgage?
Which description best fits the distribution of the data shown in the histogram?
skewed right
uniform
approximately bell-shaped
skewed left
Histogram with vertical axis ranging from 0 to 14 labeled Frequency. For 0 to 49, the bar height is 2. For 50 to 99, the bar height is 6. For 100 to 149, the bar height is 12. For 150 to 199, the bar height is 5. For 200 to 249, the bar height is 1.
Answer with explanation:
The Description about the Histogram is
Vertical Axis = 0-14
Horizontal Axis Bar Height
0-49 2
50-99 6
100-149 12
150-199 5
200-249 1
Plotting the Histogram
→Class interval 150-199 has frequency =5, and class interval 50-99, has frequency equal to 6.
→The curve is not uniform on both sides.
→The interval in which mean , median lies has 6+2=8 frequency on the left of that interval , and 5+1=6, values on the right of class interval [100-149].We can conclude that,the histogram is left Skewed.
→But when we join ,mid points of histogram,the curve obtained resembles with a normal distribution curve called bell curve.It is not exactly bell shaped,as not uniform on both sides explained above.
Option C: Approximately bell Shaped
A square garden has side lengths of 8 inches. Jackie makes a rectangular garden with the same area as the square garden .which of these could be the dimensions of the rectangular garden. a-10 inches by 6 inches, b7 inches by 9 inches, c 8 inches by 12,d 16 inches by 4 inches.
what are some types of quadrilaterals
how is this solved? graph and explanation would be helpful
what are the common factors of 24 and 48
the graph below shows the amount of snowfall in a 6-hour period
Between which hours did the least amount of snow fall?
Answer=(4,5)
Step-by-step explanation:
The formula to convert Fahrenheit to Celsius is C=5/9(F-32). Convert 18 degrees C to Fahrenheit. Round to the nearest degree.
Answer:
Temperature in celcius scale to the nearest degree = 64
Step-by-step explanation:
Temperature in celcius scale = 18° C
We have the formula
[tex]C=\frac{5}{9}(F-32)[/tex]
Substituting value in celcius scale.
[tex]18=\frac{5}{9}(F-32)\\\\F=64.4^OC[/tex]
Temperature in celcius scale to the nearest degree = 64
hey can you please help me posted picture of question
Determine whether quantities vary directly or inversely and find the constant of variation.
A teacher grades 25 students essays in 4 hours. Assuming he grades at the same speed, how long will it take him to grade 35 essays?
The time take him to grade 35 essays is, 5.6 hours.
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
A teacher grades 25 students essays in 4 hours.
And, To find the time take him to grade 35 essays.
Now, Let us assume that,
Time take him to grade 35 essays is, x
Hence, We get;
25 / 4 = 35 / x
Solve for x;
x = 35 × 4 / 25
x = 5.6 hours
Thus, the time take him to grade 35 essays is, 5.6 hours.
Learn more about the proportion visit:
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Julie studied for 3 1 3 hours during the 4 days before her last math test. If she studied for the same amount of time each day, how much time did she spend studying each day?
Julie studied for 3 1 3 hours during the 4 days before her last math test. If she studied for the same amount of time each day, how much time did she spend studying each day?
Solution:
Julie studied for 3 [tex]\frac{1}{3}[/tex] hrs in 4 days
Let us first find how many minutes Julie studied in 4 days
In 1 hour, there are 60 minutes
Julie studied for 3 complete hours and one-third of the hour.
So, Number of minutes in 3 hours is 3*60=180hrs
and, Number of minutes in one-third of an hour=[tex]\frac{1}{3} *60[/tex]
=[tex]\frac{60}{3}[/tex]=20minutes
So, time spent by Julie in studying in 4 days is 3[tex]\frac{1}{3}[/tex] hours
or, Julie studied for 180+20 minutes in 4 days
Adding 180 and 20
Julie studied for 200 minutes during the 4 days
To find time she spend studying each day, we must divide total time spent in studies by number of days
Time she spend studying each day= [tex]\frac{200}{4}[/tex] minutes
Dividing 200 by 4, we get
Time she spend studying each day=50 minutes
Answer:
time she spend studying each day=50 minutes
find the pair of similar triangles shown . find the length of side h .
Functions f(x) and g(x) are described as follows: f(x) = −5x2 + 9 x g(x) 0 0 1 4 2 8 3 4 4 0 Which statement best compares the maximum value of the two functions?
To compare the maximum values of function, which is a discrete function with given values, we find that C ) It is 3 units lower for f ( x ) than g ( x )
To compare the maximum values of functions f(x) and g(x), we first analyze each function separately. The quadratic function f(x) = -4x2 + 5x has a vertex form which reveals its maximum value at x = 1/3, and since g(x) is a discrete function defined by its values at certain points, we look directly at the given values to find its maximum.
Function g(x) reaches its maximum at g(2) = 8. Comparing this to f(x), whose vertex form shows that its maximum is f(1/3), we need to compute f(1/3) = -4(1/3)2 + 5(1/3) to find its specific value. After calculation, f(1/3) is found to be higher than 8, which is the maximum of g(x).
Thus,
g ( x ) maximum value = 8
f ( x ) maximum value = 5
g ( x ) max - f ( x ) max = 8 - 5 = 3
Complete Question:
Functions f(x) and g(x) are described as follows:
f(x) = -4x2 + 5
x g(x)
0 0
1 4
2 8
3 4
4 0
Which statement best compares the maximum value of the two functions? A. It is equal for both functions. B. It is 3 units higher for f(x) than g(x). C. It is 3 units lower for f(x) than g(x). D. It is 4 units lower for f(x) than g(x).
N a test population of 1000 people, 210 display hemophilia. you hypothesize that this trait follows mendelian genetics with a 3:1 ratio of non- hemophilia to hemophilia. use the χ2 test to determine whether the data support the hypothesis or not. show your steps and explain your reasoning.
John made $20 for 2 hours of work. Sally made $50 for 4 hours of work. How do John and Sally's hourly pay rate compare?
Answer:
sally makes more
Step-by-step explanation:
john makes 20 per 2 hours
20/2= 10
sally makes 50$ per 4 hours
50/4= 12.5
so Sally makes more
the / is division
Ben writes the number 74,443. The value of the digit 4 in the hundreds place is 10 times the value of the digit 4 is what place vakue
What is the Least common denominator for -3/x -6/8x^2
Jamelia estimates the square root of 72 in the following way: √72=2√36= 2*6=12 Explain why her reasoning is incorrect. Estimate the square root of 72 to the nearest tenth without using your calculator. Show your work.
A local am radio station broadcasts at a frequency of 764 khz. calculate the energy of the frequency at which it is broadcasting. energy = kj/photon
If r = -6, s = -2, v = 10, and w = 3; then vs(r - s) ÷ 2 + rw =
hey can you please help me posted picture of question
seven and thirty twp hundreths plus two and one tenth times two and seven tenths minus 18a
21 ÷ 7 + 20 • 100 • 2 – 3
PLEASE SOLVE
A line intersects the points (6, -12) and (15, -3). What is the slope intercept equation for this line?
y = 1x - [?]
Solve by using the quadratic formula. 9x2 + 24x + 32 = 0
To which sets of numbers does 0.0202002000200002 . . . belong? A. Irrational B.Rational only C.Rational and natural D.Rational and integer
Which describes the difference between the graph of f(x) = 2x3 - 8x + 3 and g(x) = x3 - 4x?
A) The graph of g(x) is obtained by shifting f(x) up 3 units and stretching vertically by a factor of 2.
B) The graph of f(x) is obtained by shifting g(x) up 3 units and stretching vertically by a factor of 2.
C) The graph of g(x) is obtained by shifting f(x) right 3 units and compressing vertically by a factor of 2.
D) The graph of f(x) is obtained by shifting g(x) right 3 units and compressing vertically by a factor of 2.
B) The graph of f(x) is obtained by shifting g(x) up 3 units and stretching vertically by a factor of 2.
Engineers are analyzing the performance of windshield wiper blades. At the end of one swipe, the tip of a blade is at (−5, 7) when represented graphically. What is the sine value of this function? (2 points) negative 7 square root 74 divided by 74 negative 5 times square root of 74 over 74 7 times square root of 74 over 74 square root 74
Answer:
Option C. [tex]7.\frac{\sqrt{74}}{74}[/tex]
Step-by-step explanation:
At the end of one swipe the tip of one blade is at (-5, 7). We have to find sine value of this function.
As shown in the figure coordinates of the tip of the wiper blade are (-5, 7)
So [tex]sin a = \frac{Height}{Hypotenuse}[/tex]
Here Height of the triangle = 7
and Hypotenuse = x = [tex]\sqrt{(-5)^{2}+7^{2}}=\sqrt{25+49}=\sqrt{74}[/tex]
By putting these values in the expression
[tex]sina=\frac{7}{x}=\frac{7}{\sqrt{74}}=7.\frac{\sqrt{74}}{74}[/tex]
Answer is option C.[tex]7.\frac{\sqrt{74}}{74}[/tex]