Answers
Answer:
Corresponding
Step-by-step explanation:
So, we know that 1&2, 3&4, 5&6, and 7&8 all equal 180 degrees in their pairs. 7&3 are corresponding angles that are less than 90 degrees on their own. We don't know the degrees of each angle, so we can't say their exact angle.
(I know I didn't give the second answer, if you elaborate, maybe I can understand what it's asking better)
Hope this helped!
Answer:
-> Corresponding
-> Are equal
Explanation:
First, we will find where angles 3 and 7 are at. See attached. Since they are in corresponding places on both lines, these angles are corresponding angles.
We know that corresponding angles have the same measurement, so their measures will be equal, or in other words, congruent.
Related Questions
Find f(4) given f(x) = 2x^2 - 7
Answers
Answer:
f(4) = 25
Step-by-step explanation:
substitute x = 4 into f(x)
f(4) = 2(4)² - 7 = 2(16) - 7 = 32 - 7 = 25
A city Science High School uses standardized IQ test to screen students for admission. It is known that the population standard deviation of these IQ scores is 15. The school principal claimed that the average IQ of the students in their school is 110. Miss Cruz, a researcher, wants to validate the claim. She selected a random sample of 50 students and administered the IQ test. She found that the mean IQ of the sample is 105. Perform a test of hypothesis at 0.05 level of significance.
Answers
Using the z-distribution, it is found that we reject the null hypothesis, which means that her claim is not validated.
What are the hypotheses tested?At the null hypotheses, it is tested if the mean is of 110, that is:
[tex]H_0: \mu = 110[/tex].
At the alternative hypotheses, it is tested if the mean is less than 110, that is:
[tex]H_1: \mu < 110[/tex].
What is the test statistic?The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.[tex]\sigma[/tex] is the standard deviation of the population.n is the sample size.In this problem, we have that the parameters are given as follows:
[tex]\overline{x} = 105, \mu = 110, \sigma = 15, n = 50[/tex]
Hence the test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{105 - 110}{\frac{15}{\sqrt{50}}}[/tex]
z = -2.36.
What is the decision?Using a z-distribution calculator, z = -2.36 has a p-value that is less than the standard significance level of 0.05, hence we reject the null hypothesis, which means that her claim is not validated.
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Write the repeating decimal as a fraction.
1.4979
Answers
Answer:
1 4979/9999
Step-by-step explanation:
1.497949794979....
= 1 4979/9999
please help picture below
Answers
Answer:
720
Step-by-step explanation:
height is 22
right triangle sides are
5 12 and 13
Answer:
B) 720 cm²
Explanation:
Area of triangular prism = Base × Height + Length × (perimeter of base)
Here given:
Base: 12 cmHeight: 5 cmLength: 22 cmPerimeter of Base: (5 + 12 + 13) = 30 cm=======================================
Solve for area: 12 × 5 + 22 × (30) = 720 cm²
Solve the equation for x. Do not include "x =" in your answer.
-3+√3x-11=5
Help pls
Answers
The value of x in the equation is 25
How to solve for x?The equation is given as;
[tex]-3 + \sqrt{3x - 11} = 5[/tex]
Add 3 to both sides
[tex]\sqrt{3x - 11} = 8[/tex]
Take the square of both sides
3x- 11 = 64
Add 11 to both sides
3x = 75
Divide both sides by 3
x = 25
Hence, the value of x in the equation is 25
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If you divide a number by 8, the answer is
20. What is the number?
Answers
Answer:
160
Step-by-step explanation:
160 divided 8 =20
Answer:
The answer is 160
Step-by-step explanation:
Let the unknown number be x.
x/8=20
x and 8 are linked by a division so if 8 crossed the equality sign it becomes multiplication. So we'll have
x=20*8
x=160
Therefore x is equal to 160.
LET'S CHECK IF IT'S CORRECT
160/8=20
hhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answers
Answer:
A.
Step-by-step explanation:
Because if she plays for a certain amount of time it would go up. And it she took a break it would be a straight line then go up the same line as the one at the bottom. Thus making your answer A.
What is the solution to this system of equations? 3.2 x 0.5 y = 4.2. negative 1.6 x minus 0.5 y = 3.4. (4.75, 38.8) (4.75, negative 22) no solution infinitely many solutions
Answers
The solution to the system of equation is (4.75, -11)
3.2x + 0.5y = 4.2
-1.6x -0.5y = 3.4
How to solve system of equation?
3.2x + 0.5y = 4.2
-1.6x -0.5y = 3.4
add equation(i) to equation(ii)
Therefore,
1.6x = 7.6
divide both sides by 1.6
x = 7.6 / 1.6
x = 4.75
Therefore,
3.2(4.75) + 0.5y = 4.2
0.5y = 4.2 - 15.2
0.5y = -11
y = - 11 / 0.5
y = - 22
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Answer:
The solution is x=4.75 and y = -22
Step-by-step explanation:
To find the solution to the system of equations, we will follow the steps below:
3.2x + 0.5y = 4.2 --------------------------------------------------------------------------(1)
-1.6x -0.5y = 3.4 ----------------------------------------------------------------------------(2)
add equation (1) and equation (2)
1.6x =7.6
Divide both-side of the equation by 1.6 to get the value of x
1.6x /1.6 =7.6/1.6
x =4.75
substitute x = 4.75 into equation (1) and solve for y
3.2(4.75) + 0.5y = 4.2
15.2 + 0.5y = 4.2
subtract 15.2 from both-side of the equation
15.2 - 15.2 + 0.5y = 4.2-15.2
0.5y = -11
Divide both-side of the equation by 0.5
0.5y/0.5 = -11/0.5
y = -22
The solution is x=4.75 and y = -22
A heard of elk increased from 75 in 1998 to 310 in 2005. Find the annual percent of increase for this heard.
Answers
Answer:
[tex]313.3333\%[/tex]
Step-by-step explanation:
Based on given conditions, formulate:
[tex] \frac{310 - 75}{75} [/tex]
Calculate the sum:
[tex] \frac{253}{75} [/tex]
Simplify it:
[tex] \frac{47}{15} [/tex]
Convert that to a decimal:
[tex]3.133333[/tex]
Multiply that:
[tex]3.133333 \times \frac{100}{100} [/tex]
Calculate that:
[tex] \frac{3.133333 \times 100}{100} [/tex]
Convert that:
[tex]313.3333\%[/tex]
Solve the following system of equations by linear combination: 5x + 2y = 14 y = x – 7 (4, –3) (2, –5) (–5, 2) (–3, 4)
Answers
The solution to the system of equations is (-3,4)
How to solve the system of equations?The equations are given as:
5x + 2y = 14
y = x – 7
Substitute y = x – 7 in the first equation
5x + 2(x - 7) = 14
Expand
5x + 2x - 14 = 14
Evaluate the like terms
7x = 28
Divide
x = 4
Substitute x = 4 in y = x – 7
y = 4 – 7
Evaluate
y = -3
Hence, the solution to the system of equations is (-3,4)
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a vertical meter stick casts a shadow of 0. 4 meters. if a tree casts a shadow of 12 meters at the same time, how tall is the tree?
Answers
The height of the tree is 30 times the height of the verticle stick.
What are ratio and proportion?A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two things are equal.
A vertical meter stick casts a shadow of 0. 4 meters.
If a tree casts a shadow of 12 meters at the same time.
Let x be the height of the stick and y be the height of the tree. Then we have
y/x = 12/0.4
y/x = 30
y = 30x
The height of the tree is 30 times the height of the verticle stick.
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Steve earns $10.00 per hour. he worked 40 hours at regular rate, 8 hours at time and a half and 8 hours at double time. compute the total wages.
Answers
The total wages of Steve will be equal to W=$560 worked for 56 hours.
What are wages?The amount of money charged by a worker for working for a particular company on an hourly or day basis is called the wages.
Here the time of the worker is given as . he worked 40 hours at a regular rate, 8 hours at a time and a half and 8 hours at double time and the earning per hour is $10.
The total time will be:-
40+8+(1÷2)x8x2=56
Now the total earnings will be given as:-
T=10x56=$560
Hence the total wages of Steve will be equal W=$560 worked for 56 hours.
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Joan has a semi-circular swimming pool. The pools has a radius of 13 feet. What is the distance around the swimming pool
Answers
Answer:
66.84 feet.
Step-by-step explanation:
Distance around = length of straight part + length of the semi-circle
= 2*13 + π*13
= 66.84 feet.
Find the equation of the line that passes through the points:(2, 2) and (3, 4)
Answers
Answer:
y=2x-2
Step-by-step explanation:
the slope of the two points can be found using rise over run which would be 4/2 and that equals 2. then you have to pout the y intercept.
The function graphed models the profits, P(c), in thousands of dollars a store earns as a function of the number of clerks, c, working that day.
Which statements are true based on the model?
Select each correct answer.
The store earns about $50,000 in profits on its best days.
Maximum profits are earned when there are 6 clerks working.
The store earns profits when no clerks are working.
Maximum profits are earned when there are 3 clerks working.
The store loses money when 7 or more clerks are working.
Answers
Answer:
See below ~
Step-by-step explanation:
The true statements based on the graph :
Maximum profits are earned when there are 3 clerks working.The store loses money when 7 or more clerks are working.
For times t> 0 in seconds, a superhero's height above the ground in meters is given by the function
s(t) = 600 - 14.7t2. Directly below the superhero, a person is in free fall. The person's height above
the ground is given by the function P(t) = 300 - 10t - 4.912. At what time are the superhero and the
person at the same height above the ground and how high above the ground are they?
Answers
Answer:
NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by
Assuming rocket launched at t = 0 and height is measured above sea level in meters.
Step-by-step explanation:
A hyperbola has its foci at (1, 7) and (1, –13). a directrix of the hyperbola is y = . what is the equation of the hyperbola?
Answers
The equation of the hyperbola is [tex]\frac{(y + 3)^2}{64} -\frac{(x - 1)^2}{36} = 1[/tex]
How to determine the hyperbola equation?The foci are given as:
(1, 7) and (1, -13)
The foci of a hyperbola are represented using: (m, n+p) and (m, n-p)
Where the center of the hyperbola is (n,p)
By comparison, we have:
m = 1
n + p = 7
n - p =13
Where n = ae
The solution to the above system of equations is
m = 1, n = 10 and p = -3
The directrix is given as:
y = 64/10
The directrix is represented as:
y = a/e
So, we have:
a/e = 64/10
Substitute n = ae in n = 10
ae = 10
Solving ae = 10 and a/e = 64/10, we have:
a = 8 and e = 10/8
To calculate b, we make use of:
[tex]b = a\sqrt{(e^2 - 1)[/tex]
So, we have:
[tex]b = 8\sqrt{(\frac{10}{8}^2 - 1)[/tex]
Evaluate
b = 8 * 0.75
b = 6
The equation of the hyperbola is then calculated using:
[tex]\frac{(y - p)^2}{a^2} -\frac{(x - m)^2}{b^2} = 1[/tex]
This gives
[tex]\frac{(y + 3)^2}{8^2} -\frac{(x - 1)^2}{6^2} = 1[/tex]
Evaluate
[tex]\frac{(y + 3)^2}{64} -\frac{(x - 1)^2}{36} = 1[/tex]
Hence, the equation of the hyperbola is [tex]\frac{(y + 3)^2}{64} -\frac{(x - 1)^2}{36} = 1[/tex]
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how do you measure the perimeter of a shape
Answers
Perimeter is a measure of the area or distance around a two-dimensional shape. On a rectangle, for instance, the perimeter is the total length of the rectangle's outline, including the two widthwise borders and the two lengthwise borders.
To determine the perimeter of a shape, therefore, you add together all the dimensions that make up the shape's outer edge. Being able to find the perimeter of a shape has many applications in the real world. Say, for example, that you wanted to build a fence around your backyard. In order to purchase materials, you need to know how much fencing you'll need, and to determine that you have to figure out the perimeter of the area you want to fence in.
Find the ratio of 4cm and 8mm
Answers
Answer:
5 : 1
Step-by-step explanation:
Unit conversion (between cm and mm) : 1 cm = 10 mm
⇒ 4 cm : 8 mm
⇒ 4 x 10 mm : 8 mm
⇒ 40 mm : 8 mm
⇒ 5 : 1
Which statements are true? select three options. milk was requested for 16 of the large-sized meal orders. soda was requested for 280 of the kids’ meal orders. a juice box was requested for 82 of the regular-sized meal orders. sixty-three of the orders of soda came with a regular-sized meal. a total of 124 large-sized meals were ordered.
Answers
The true statements are:
A. Milk was requested for 16 of the large-sized meal orders;D. Sixty-three of the orders of soda came with a regular-sized meal; andE. A total of 124 large-sized meals were ordered.Calculations and Parameters:Given:
Total no of meals with milk= 71Regular size meals= 55Regular sized meals with soda= 63To find the large size meals that came with milk,
71-55= 16.
Therefore, the total number of large size meals ordered was:
16+22+86 = 124.
Hence, options A, D and E are correct.
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Sam is doing a project about pets. what is an example of a statistcal question he could write about the topic
Answers
An example of a statistcal question that Sam could write about is the weight of the members of a sample of 100 dogs.
What is statistical question?Statistical question can be regarded as the question that needed alot of data processing before one can answer it.
When choosing a Statistical question, one should know that it will involve collection of data for processing such as classification of the pet base on their weights.
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A couple is looking for a mortgage to purchase a house for $256,000. If the bank requires a 5% down payment, what is the amount to be mortgaged?
$128000
$12800
$243200
$25600
Answers
Multiply $256,000 by 5%
Find the values of x and y.
Answers
Answer: x=60°, y=60°
Step-by-step explanation:
because they are equilateral triangles, which the angles are all 60° Please correct me if I’m wrong, but I’m quite sure.
A rectangular prism with a length of 4 meters, width of 0.5 meters, and height of 4 meters. 2 triangular prisms are cut out of the cube. The triangular prisms have triangular sides with a base of 2 meters and height of 1 meters. The prism has a height of 0.5 meters.
Using the dimensions in the diagram, calculate how much cement is needed to build the monument.
4 m3
7 m3
8 m3
16 m3
i need the answer as fast as possible like i need it today and if right many marked branliest
Answers
Answer:
7 m3
Step-by-step explanation:
Correct
The cement that is needed to build the monument will be 7 m³. Thus, the correct option is B.
What is the volume?The volume of the rectangular prism is calculated as,
V = LWH
V = 4 m x 0.5 m x 4 m
V = 8 m³
The volume of the triangular prism is calculated as,
V = (BHL) / 2
V = (2 m x 1 m x 0.5 m) / 2
V = 0.5 m³
Since there are two triangular prisms, the total volume of both triangular prisms is:
⇒ 2 x 0.5 m³
= 1 m³
The total amount of cement is calculated as,
⇒ (Volume of rectangular prism - Total volume of both triangular prisms)
⇒ (8m³ - 1m³)
⇒ 7 m³
Thus, the correct option is B.
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CAN SOMEONE PLASE HELP ME WITH THIS PROBLEM
Answers
Answer:
Step-by-step explanation:
please help me with these questions
Answers
Answer:
Here is the ans ..hope it helps
Hi, please choose the correct answer. please
Answers
Answer:
y = -x + 1
Step-by-step explanation:
I just checked it in the desmos graphing calculator and it was correct.
Answer:
y = -x + 1.
Step-by-step explanation:
The graph rises to the left so has a negative slope.
slope = -1 and y-intercept = 1
Does anybody know this?Find the surface area of the triangular prism the ares of the base is 7.75yd
Answers
Answer:
10.308
Sure hope this helps you
6 worker can construct 10 m long wall in 4 days . in how many days 2 worker can contruct 15 m long wall ?
Answers
Answer:
it should take the workers 18 days to finish
Step-by-step explanation:
What is the Slope-Intercept form of the equation of a line that passes through the point (5,-3) and is parallel to the line y = 2x +3?
Answers
Answer:
y = 2x + 7
Step-by-step explanation:
