Answer:
1 +2+3+4+5
aub 314+5
sub 1-2-3-4_5_6
1234567
If T is the circumcenter of triangle MNP, find each measure.
Answer:
8). TN = 22 units ; 9). √165
Step-by-step explanation:
The circumcenter of a triangle is the point in the plane equidistant from the three vertices of the triangle.
8). 6x - 56 = 3x - 17
3x = 39
x = 13
TN = 22 units
9). 4x - 17 = x + 10
3x = 27
x = 9
TN = 19
RT = [tex]\sqrt{TN^2 - RN^2}[/tex]
RT = [tex]\sqrt{361-196}[/tex] = √165 ≈ 12.8 units
Applying the properties of circumcenter of a triangle and the Pythagorean Theorem, the measure of each given segments are calculated as:
8. TN = 22
9. RT = 12.8
Recall:
The point where the three perpendicular bisectors of a triangle meet is known as the circumcenter of the triangle.The perpendicular bisectors form right angles with each side it bisects. This means that there are two opposite right angles formed at point Q, S, and R.The circumcenter is also the point that is equidistant to all three vertices of the triangle. This means that, in the diagram given, MT, TN, and TP are equal.Pythagorean theorem can be used to solve for the missing side of a right triangle. It states that, if c is the hypotenuse (longest side that is directly opposite to the right triangle), and a and b are the two other smaller sides, therefore: [tex]c^2 = a^2 + b^2[/tex]8. Find TN
Given,
MT = 6x - 56TP = 3x - 17Thus,
6x - 56 = 3x - 17 (MT = TN = TP, because they are equidistant from the circumcenter, T.)
Combine like terms6x - 3x = 56 - 17
3x = 39
Divide both sides by 3x = 13
TN = TP = 3x - 17
TN = 3x - 17
Plug in the value of xTN = 3(13) - 17
TN = 22
9. Find RT
Given,
RN = 14TN = 4x - 17TP = x + 10Thus,
4x - 17 = x + 10 (TN = TP)
Combine like terms4x - x = 17 + 10
3x = 27
Divide both sides by 3x = 9
TN = 4x - 17
Plug in the value of xTN = 4(9) - 17
TN = 19
To find RT, apply the Pythagorean Theorem
[tex]RT = \sqrt{TN^2 - RN^2}[/tex]
Substitute[tex]RT = \sqrt{19^2 - 14^2}\\\\\mathbf{RT = 12.8}[/tex]
In summary, applying the properties of circumcenter of a triangle and the Pythagorean Theorem, the measure of each given segments are calculated as:
8. TN = 22
9. RT = 12.8
Learn more about circumcenter of a triangle here:
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Classify the triangle by it’s angles and by measuring its sides.
HELP ME PLEASE I WILL GIVE BRAINLY CAN U PLEASE GRAPH IT
Answer:
The two points are (0,1) and (0.75, 0)
Step-by-step explanation:
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Identify the level of association and correlation in the scatterplot.
strong association, negative correlation
weak association, negative correlation
strong association, positive correlation
weak association, positive correlation
Answer:
B- Weak association, negative correlation
Answer:
b
Step-by-step explanation:
What would eNotes be most helpful for?
1. reviewing material to study for a test.
2. turning disorganized notes into organized notes.
3. Finding out the answers for an upcoming test.
4. Warning how to take an organised notes for class.
Answer:
4
Step-by-step explanation:
The answer is 4: learning how to take an organized notes for class.
y = -x + 4x2 -5x - 2
Answer:
x = 1
Step-by-step explanation:
x = 1
y intercept = 6
slope = -6
I need help asap please lol
Answer:
91°
Step-by-step explanation:
x and 89 are linear equations
180 - 89 = 91
x = 91
Help due soon will give brainliest
Answer:
x = 12
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 81 = 15²
x² + 81 = 225 ( subtract 81 from both sides )
x² = 144 ( take the square root of both sides )
x = [tex]\sqrt{144}[/tex] = 12
SECOND TIME POSTING THIS
.Find the slope of the line that passes through the points (-28, -31) (36, 25).
-8/7
7/8
64/56
1 1/7
Answer:
[tex]\huge\boxed{\sf Slope = \frac{7}{8} }[/tex]
Step-by-step explanation:
[tex]\sf (x_{1},y_{1}) = (-28,-31)\\\\(x_{2},y_{2}) = (36,25)[/tex]
[tex]\sf Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\\\Slope = \frac{25-(-31)}{36-(-28)} \\\\Slope = \frac{25+31}{36+28} \\\\Slope = \frac{56}{64}\\\\Slope = \frac{7}{8} \\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807
Cheyenne has two jobs. She works the same amount of time on each job. She earns $15 per hour on one job and $10 per hour on the other job.
Answer:
what do you need to be answered..
(0.4y - 3)/(1.5y + 9) = -7/5
Answer:
y = -3.84.
Step-by-step explanation:
(0.4y - 3)/(1.5y + 9) = -7/5
Cross multiply:
2y - 15 = -10.5y - 63
12.5y = -48
y = -3.84
HELP ASAP
write an equation in slope-intercept form for the line that passes through (-3,5) and is perpendicular to the graph of y+2x=4
Answer:
We conclude that an equation in slope-intercept form for the line that passes through (-3,5) and is perpendicular to the graph of y+2x=4 will be:
[tex]\:y=\frac{1}{2}x+\frac{13}{2}[/tex]
Step-by-step explanation:
Given the line
y+2x=4
converting into the slope-intercept form y = mx+b where m is the slope
y = -2x+4
comparing with the slope-intercept form
Thus, the slope is: m = -2
We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
slope = m = -2
The slope of the new line perpendicular to the given line = – 1/m
= -1/-2 = 1/2
Using the point-slope form
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line and (x₁, y₁) is the point
substituting the values m = 1/2 and the point (-3, 5)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-5=\frac{1}{2}\left(x-\left(-3\right)\right)[/tex]
[tex]y-5=\frac{1}{2}\left(x+3\right)[/tex]
Add 5 to both sides
[tex]y-5+5=\frac{1}{2}\left(x+3\right)+5[/tex]
[tex]\:y=\frac{1}{2}x+\frac{13}{2}[/tex]
Therefore, we conclude that an equation in slope-intercept form for the line that passes through (-3,5) and is perpendicular to the graph of y+2x=4 will be:
[tex]\:y=\frac{1}{2}x+\frac{13}{2}[/tex]
A salesman earns 20% commission on all merchandise that he sells. Last month he sold $700 worth of merchandise. How much commission (in dollars) did he earn last month?
Answer:
140$
Step-by-step explanation:
You can use the three rule step.
20% ?
-------=------------
100%. 700$
Then u go 20 x 700 divided by 100 which gives you the 20% in $
If n = 39 How many pears does David have?
Answer:
39 ?
Step-by-step explanation:
SOMEONE PLS HELP GIVING BRAINLYIST
Answer:
I think it is the first one you can solve the system using either substitution, elimination, or graphing and the get the same answer.
Step-by-step explanation:
PLEASE HELP PLEASE HELP PLEASE HELP PLEASE HELP PLEASE HELP PLEASE HELP!!!!!!!!!!! why does 'i can't help falling in love with you' by elvis presley sound so emotional???
Answer: It’s Elvis Presley.
Step-by-step explanation: yes :)
btw the comment section is deep <3
Add 2 mn, -4 mn, 8 mn, -6 mn
Answer:
0
Step-by-step explanat
Answer:
0 mn
Step-by-step explanation:
First you would write the equation 2+(-4)+8+(-6)
Now let’s solve starting from the left.
2+(-4) = -2
This is the equation so far: -2+8+(-6)
Then you would solve the right side 8+(-6) = 2
Now we have -2 + 2 which equals 0.
PS. You can also do in another way like 2-4+8-6. It’s the same method and concept.
Hope this helps!
What is the value of the constant in the expression?
2x2 + 3x - y - 18 + 7y2
Which ordered pair represents a solution to both equations
Answer: (-3,3)
Step-by-step explanation:Answer: (-3,3)
Step-by-step explanation: P= IRT solve for T To solve for T, you must get T on it's own on one side of the equals sign, with all the other terms on the other side. IRT means that I and R are multiplied by T. To get rid of them we must do the opposite of multiply, which is divide. But because this is an equation, anything we do on one side of the equals sign, must be repeated on the other side. So if we divide the right side by IR, we must also divide the left side by IR
HELP ME AND GET POINTS!!!!!
Answer:
7 13
Step-by-step explanation:
Answer:
C. 7 and D, 13 are prime.
Hope it will help :)
How many almonds are in the bag?
Two cylinders are shown below. Find the volume of each cylinder. Use 3.14 for pie. Enter your answers rounded to the nearest hundredth.
Given:
For cylinder P: radius = 4.25 in. and height = 14 in.
For cylinder Q: radius = 7 in. and height = 8.5 in.
To find:
The volume of each cylinder.
Solution:
Volume of a cylinder is
[tex]V=\pi r^2h[/tex]
where, r is radius and h is height. Use 3.14 for [tex]\pi[/tex].
Using the above formula, the volume of cylinder P is
[tex]V_P=(3.14)(4.25)^2(14)[/tex]
[tex]V_P=794.0275[/tex]
[tex]V_P\approx 794.03[/tex]
Using the above formula, the volume of cylinder Q is
[tex]V_Q=(3.14)(7)^2(8.5)[/tex]
[tex]V_Q=1307.81[/tex]
Therefore, the volume of cylinder P is 794.03 sq. in. and volume of cylinder Q is 1307 sq. in.
The volume of cylinder P is 794.03 sq. in. and the volume of cylinder Q is 1307 sq. in.
What is the volume of a right circular cylinder?Suppose that the radius of the considered right circular cylinder be 'r' units.
And let its height be 'h' units.
Then, its volume is given as:
[tex]V = \pi r^2 h \: \rm unit^3[/tex]
The given information is
For cylinder P:
radius = 4.25 in. and height = 14 in.
For cylinder Q:
radius = 7 in. and height = 8.5 in.
To find the volume of each cylinder.
The volume of a cylinder
[tex]V = \pi r^2 h \: \rm unit^3[/tex]
where r is radius and h is height.
Using the above formula,
the volume of cylinder P
[tex]V = \pi r^2 h \: \rm unit^3[/tex]
[tex]V = 3.14 \times (4.25)^2 \times 14 \: \rm unit^3\\\\V = 794.03[/tex]
The volume of cylinder Q
[tex]V = \pi r^2 h \: \rm unit^3\\\\V = 3.14 \times 7^2 \times 8.5 \: \rm unit^3\\\\V =1307.81[/tex]
Therefore, the volume of cylinder P is 794.03 sq. in. and the volume of cylinder Q is 1307 sq. in.
Learn more about volume of the cylinder here:
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The value y of an investment x months after the money was invested is given according to the equation below. y = 25,000(1.16)-x As time goes on, does the value of the investment grow or decay?
Answer:
Decay
Step-by-step explanation:
The value, y of an investment x is given by:
y = 25000(1.16)^-x
x = number of month after investment
y = value of investment after x months
The function f(y) above is an exponential usually related in the form:
y = Ar^-x
Plugging values of x into the function :
After 1 month; x = 1
y = 25000(1.16)^-1 = 21551.724
After 2 month; x = 2
y = 25000(1.16)^-2 = 18579.072
After 3 month; x = 3
y = 25000(1.16)^-3 = 16016.441
Since y is decreasing with increasing value of x, then we have a decay
Answer:
Decay
Step-by-step explanation:
i need help asap! i’ll be giving a brainliest.
Answer:
The answer is C
Please brainleist I need to get to next lvl
Step-by-step explanation:
Solve.
{y= 2x – 6
{4x – 2y = 14
Use the substitution method
Answer:
No Solution
Step-by-step explanation:
What is the image of (-4,8) after a dilation by a scale factor of 2 centered at the
origin?
A train 180m long travels through a station at 60 km/h. Find how many seconds it takes for the train to pass a person who is standing on the station platform
Answer:
180sec
Step-by-step explanation:
180÷60
3
1min =60seconds
60×3
=180secinds
If x= -4 and y= -3 what does 3x - 2y equal
Answer:
-6
Step-by-step explanation:
3(-4) = -12
-2(-3)= 6
-12+6= -6
Answer:
-6
Step-by-step explanation:
If x = -4 and y = -3, the equation should be set up like this: 3(-4) - 2(-3). The rule is if you multiply a 1 positive number by 1 negative number, the answer will be negative.
3(-4) = -12
2(-3) = -6
Then, once you figure out the multiplication, finish up the equation by subtracting.
-12 - (-6) = -6
solve -5x+4y=-13 MARKING BRAINLIEST
Answer:
X= 4y+13/5
Y=5x-13/4
Step-by-step explanation:
What is the value of x?