△ABC is right, and M, N, and T are points of tangency of the inscribed circle. Find m∠MNT.
Answers
The angle of inscribed polygon m∠MNT from the triangle ABC is 45°
What is an inscribed polygon?An inscribed polygon is a polygon whose vertices lie on the circle and the circle inscribing the polygon is known to be a circumscribed circle. But let's not forget that the circle is also inscribed in another right-angle triangle.
However, using the inscribed right angle theorem:
Supposed that a right triangle is inscribed in a circle;
We can infer that the hypotenuse is the diameter of the circle.From the given image, line MN is the diameter of the circle since that is the only diameter in the circle.
And the angle facing the diameter is the right angle. i.e ∠T = 90°We know that the sum of angles in a triangle is 180°. So, if ∠T = 90°, ∠N and ∠M = x
i.e.
90° + x + x = 180°
90° + 2x = 180°
2x = 180° - 90°
2x = 90°
x = 90°
x = 45°
Therefore, we can conclude that angle m∠MNT = 45°
Learn more about inscribed polygon here:
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Related Questions
Each day, Mr. Bowman selects a piece of paper from a bag to determine whether
plece: walk or backyard. Mr. Bowman's students pulled a piece of paper from the bag
results.
Answers
Answer : Backyard
Step-by-step explanation:
what is 2+2x490+30 divided by 100
Answers
Answer:
982.3
Step-by-step explanation:
what is the solution to this system of equations?
4x+y=6
x-2y=6
Answers
x=2 and y=(-2)
hope it helps...
Answer:
y = ( -2 )
x = 2
Step-by-step explanation:
4x + y = 6 ⇒ ( 1 )
x - 2y = 6 ⇒ ( 2 )
x = 6 + 2y ⇒ ( 3 )
First, let us find the value of y.
For that, we can replace x with ( 6 + 2y ).
Let us use equation 1 for that.
4x + y = 6
4 ( 6 + 2y ) + y = 6
24 + 8y + y = 6
24 + 9y = 6
9y = 6 - 24
9y = -18
Divide both sides by 9.
y = -2
Now let us find the value of x by replacing y with -2.
For that let us take equation 3.
x = 6 + 2y
x = 6 + 2 × -2
x = 6 - 4
x = 2
pls help!!! What is the surface area of the pyramid?
Answers
Answer:
SA = 224 ft^2
Step-by-step explanation:
B - base
H - height
SA - surface area
B = 8
H = 10
SA = (B×B) + 4((1/2)×(B×H))
SA = (8×8) + 4((1/2)×(8×10))
SA = 224 ft^2
in a promotion at a local diner ever twelfth customer will get a free hamburger and every ninth customer will get a free milkshake which customer will be first to get a free sandwich and a free drink
Answers
The common denominator between 9 and 12 would be 36
9 th customer -> 18th customer -> 27th customer - > 36 th
12th -> 24th -> 36th
∠A and \angle B∠B are vertical angles. If m\angle A=(7x-6)^{\circ}∠A=(7x−6) ∘ and m\angle B=(8x-27)^{\circ}∠B=(8x−27) ∘ , then find the measure of \angle B∠B.
Answers
Answer: 141 degrees
Step-by-step explanation:
Five is to three as thirty is to what number?
Answers
5/3 = 30/x. Multiplying across: 5x = 3 times 30. Solving this gives you 5x = 150, or x = 30.
One side of a rectangle is 24 cm longer than four times another side. Find the length of the sides, given that the area of the rectangle is 1260 cm ^ 2 . Enter both sides, separated by a comma. Length of the sides: cm
Answers
Answer:
84 cm, 15 cm
Step-by-step explanation:
Check the attachment.
If the terminal side of angle θ passes through a point on the unit circle in the first quadrant where x=√2/2, what is the exact measure of θ?
Answers
The exact measure of the angle is 45°.
How to get the angle?
We know that the terminal side passes through a point of the form (√2/2, y).
Notice that the point is on the unit circle, so its module must be equal to 1, so we can write:
[tex]1 = \sqrt{( \frac{\sqrt{2} }{2} )^2 + y^2} \\\\1^2 = \frac{2}{4} + y^2\\1 - 1/2 = y^2\\\\1/\sqrt{2} = y[/tex]
We know that y is positive because the point is on the first quadrant.
Now, we know that our point is:
(√2/2, 1/√2)
And we can rewrite:
√2/2 = 1/√2
So the point is:
( 1/√2, 1/√2)
Finally, remember that a point (x, y), the angle that represents it is given by:
θ = Atan(y/x).
Then in this case, we have:
θ = Atan(1/√2/1/√2) = Atan(1) = 45°
If you want to learn more about angles, you can read:
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Buddy orders 50 burritos for a conference meeting.
Each burrito costs $5 how much will he spend?
A $316
B $134
C $250
D $562
Answers
HOW TO COMPUTE SENIOR HIGH SCHOOL GPA
Answers
Answer:
Step 1: Convert every letter grade to its respective points (A=4, B=3, C=2, D=1, F=0.)
Step 2: Add up all the grade points.
Step 3: Divide the added grade points (step 2) by the number of class credits taken
Step-by-step explanation:
hope it helps
Pietro is measuring the thickness of his favorite books. He rounds his measurements to the nearest \dfrac{1}{8} 8 1 start fraction, 1, divided by, 8, end fraction inch and records the information on the line plot below. A line plot labeled 0 to 2 with tick marks every one-eighth unit. Dots are plotted as follows: 3 dots above one and one-eighth, 1 dot above one and two-eighths, 4 dots above one and five-eighths, 2 dots above one and six-eighths, and 1 dot above the 2. A line plot labeled 0 to 2 with tick marks every one-eighth unit. Dots are plotted as follows: 3 dots above one and one-eighth, 1 dot above one and two-eighths, 4 dots above one and five-eighths, 2 dots above one and six-eighths, and 1 dot above the 2. What is the total thickness of the two thickest books? \text{ inches} inches
Answers
Answer:
3 6/8
Step-by-step explanation:
im probably giving answers to 9 year olds rn LOL and anyways theres a number line there so you can see the heaviest which is 2 and 1 6/8 so then just add them like this 2+1=3+6/8=3 6/8 hope i helped like a 9 year old LOL
HELLPP PLEASE ASAP!!!!
Answers
find the slope of the line graphed below.
Answers
Answer: I got 4/7
Step-by-step explanation:
(-3,1)(4,5)[this points from graph btw]
the formula of slop is [tex]\frac{y_{2} - y_{1}}{x_{2}-x_{1} }[/tex]
[tex]\frac{5-1}{4-(-3)\\}\\ \\\frac{5-1}{4+3} \\\\=\frac{4}{7}[/tex]
Determine the solution, if any, to the system of equations below
8x - 2y = 1
-4x + y=3
Show your work.
Answers
Answer:
This question cant be determine
Step-by-step explanation:
there's no input
When the bank returns a check for which there is not enough money in the bank to cover it, what do we call the check?
o uncovered
O irresponsible
O bounced
o free
Answers
Solve the equation 7(x + 4) = -21.
x =
Answers
Answer:
-7
Step-by-step explanation:
7(x+4)=-21
x+4=-21/7
x+4=-3
x=-3-4
x=-7
An alloy weighing 30 lbs is 119 tin The alloy was made by mixing a 15% tin alloy and a 9% tin allov. How many pounds of each alloy were used to make the 11% alloy?
Answers
We let x = pounds of alloy that is 15% tin
The problem is modeled by the equation:
0.11(30) = 0.15x + 0.09(30-x)
The equation means that the amount of tin does not change. Also, the amount of alloy (total weight - weight of 15% alloy) is (30-x).
Solving for x:
3.3 = 0.15x +2.7 - 0.09x
.06x = 0.6
x = 10 lbs
30-10 = 20 lbs
10 lbs. of the 15% alloy and 20 lbs. of the 9% alloy
Which function represents the sequence? 45, 40, 35, 30, 25
Answers
Answer:
the function is subtracting 5 from the next number, the next number would be 20. If this helped please mark brainliest
Step-by-step explanation:
Help Asap please 100 points
Answers
A family of 6 is going to the fair. They have a coupon for $2.50 off each ticket. If they pay $96 for all of their tickets, and each ticket costs the same amount, how much does a ticket, t, cost without the coupon?
How much is the family spending all at the fair?
Answers
Answer:
$18.50
Step-by-step explanation:
because there are 6 people, to find out the total discount, we do:
2.50 x 6 = 15
This means that they saved $15 out of the $96. So, to find out the total before the discount, all we have to do is
96 + 15 = 111
Then, to find the cost of 1 ticket, before discount, we do 111 / 6, which gives us:
$18.50
Hope this helps! If you have any further questions, let me know!
- profparis
Vanessa wants to play a video game that charges .12 a minute. If ahe has 15.00 to spend how many minutes can she play at most
Answers
Answer:
125
Step-by-step explanation:
15/12 you get 125. Then multiple it by 100 and you get 125.
help?????????? i don't really know how to answer
Answers
Answer:
[tex] \fbox{4\:dollars\:and\:99\:cents}[/tex]
Step-by-step explanation:
Given:
Total money Marsha gave = 20$
Total money she received in return = 5.03$
Number of pairs of socks she purchased= 3 pairs
To find: Cost of each pair of socks =?
Solution:
Let the cost of each pair of socks is x, and the equation that satisfies above scenario would be,
[tex]3x + 5.03 = 20 \\ 3x = 20 - 5.03 \\ 3x = 14.97 \\ x = \frac{14.97}{3} \\ x = \cancel{\frac{14.97}{3} } \: ^{4.99} \\ x = 4.99[/tex]
Each pair of socks cost 4.99 dollar which can be written as 4 dollars and 99 cents.
Thanks for joining brainly community!
Answer:
$4.99
Step-by-step explanation:
Since the cashier gave $5.03 in change, Marsha paid $5.03 extra for the 3 pairs of socks. This means that the cost is;
⇒ Cost for 3 pairs of socks = 20 - 5.03 = $14.97⇒ Cost for 3 pairs of socks = $14.97To determine the cost for each pair of socks, we need to divide 3 both sides of the equation obtained above, as it is the cost for 3 pairs of socks.
⇒ Cost for 3 pairs of socks/3 = $14.97/3⇒ Cost for each pair of socks = $4.99Therefore, the cost for each pair of socks $4.99.
A machine fills boxed at a constant rate. At the end of 35 minutes, it has filled 5 boxes. Which table represents the relationship between the number of minutes the machine fills boxed and the number of boxes it has filled?
Answers
Answer:
35 divided by 5 = 7
Step-by-step explanation:
PLEASE HELP ASAP! Find the volume of the prism.
Answers
Answer:
5 * sqrt(3)
Step-by-step explanation:
First, find the area of the triangle. Do this by determining the height of the triangle. The main triangle is really two right triangles, so do half of it at a time. This causes the base to become one.
According to the Pythagorean Theorem, the height is the square root of 3.
The area of one half of the triangle is sqrt(3)/2, but you need to double that to find the whole triangle's area, so the whole area is sqrt(3).
Now just multiply by 5.
The answer is 5 * sqrt(3), the one you have selected in the image.
Zero and Negative Exponents 4-30=_
Answers
Answer:
-26
Step-by-step explanation:
4-30=-26
help pls!!!
free brainleist
Answers
Answer:
28
Step-by-step explanation:
subtract 248 from 360 to get 112, add up all x's to get 4, then divide 112 by 4 to get 28
Answer:
ah P00
Step-by-step explanation:
WILL MARK BRAINLIEST PLS HELP!! Given the functions f(x) = x ^ 3 + x ^ 2 - 2x + 3 and g(x) = log (x) + 2 what type of functions are f(x) and g(x) ? Justify your answerWhat key features do f(x) and g(x) have in common ? (Consider domain , range, xintercepts , and y intercepts)
Answers
The functions f(x) and g(x) are different functions.
How to explain the function?The function f(x) is a cubic function, while the function g(x) is a logarithmic function. The common feature of both functions is their range
The functions are given as:
f(x) = x³ + x² - 2x + 3 and g(x) = log(x) + 2
This means that the function f(x) is a cubic function, while the function g(x) is a logarithmic function.
From the attached graph, we have the following features:
Domain: -∞ < x < ∞
Range: -∞ < y < ∞
y-intercept = 3
x - intercepts = -2.37
Function g(x)
Domain: x > 0
Range: -∞ < y < ∞
y - intercept = None
x - intercepts = 0.01
By comparing the key features above, we can conclude that the common features in both functions are their range
Read more about functions at:
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what is the correct answer for (1\2) to the third power
Answers
Answer:
0.125, 1/8
Step-by-step explanation:
0.5*0.5 = 0.25
0.25 * .5 = 0.125
0.5*0.5*0.5 = 0.125
What is the measure of each angle in the circle?
36°
40°
45°
60°
Answers
Answer:
45 degrees
Step-by-step explanation:
360 degrees is a whole circle, and there are 8 slots
360 / 8 = 45