Answers
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Work Shown:
The two angle bisectors intersect to form the incenter. The incenter is the center of the inscribed circle (aka "incircle"). This circle is the largest possible, but is completely inside the triangle. No portions of the circle spill outside the triangle.
The two segments marked with lengths x+8 and 2x-5 are two radii of the incircle. This is because the sides of the triangle are tangent to the incircle.
Since all radii are the same length, we can set those expressions equal to one another and solve for x
x+8 = 2x-5
x-2x = -5-8
-x = -13
x = 13
This x value then leads to
x+8 = 13+8 = 212x-5 = 2*13-5 = 26-5 = 21Both radii are 21 units long, which helps confirm we have the proper x value. We double the length of the radius ot get the diameter.
So the diameter of the incircle is 2*21 = 42 units long.
Related Questions
⚠️ANSWER NEEDED FASTT⚠️
Which equation represents the relationship between a and d?
Answers
Answer:
a
Step-by-step explanation:
12.48/25=.52
14.56/28=.52
17.68/34=.52
classify the triangle that satisfies the following set of conditions: one obtuse angle and no congruent sides. (Check your spelling.) *
Answers
Explanation: the other 2 triangles have congruent sides
Answer:
A scalene triangle
Step-by-step explanation:
A scalene triangle is a triangle with unequal interior angles
Find the slope of the given line, if it is defined.
The line through the origin and (-9,12)
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The slope equals
(Simplify your answer.)
B. The slope is undefined.
Answers
Answer: A. The slope is [tex]-\dfrac{4}{3}[/tex].
Step-by-step explanation:
The slope of a line helps to specify the direction of the line.
The slope of a line that passes through (a,b) and (c,d) is given by :-
[tex]\text{Slope}=\dfrac{d-b}{c-a}[/tex]
Then the slope of a line passes through origin i.e. (0,0) and (-9,12) is given by :-
[tex]\text{Slope}=\dfrac{12-0}{-9-0}\\\\\Rightarrow\ \text{Slope}=\dfrac{12}{-9}\\\\\Rightarrow\ \text{Slope}=-\dfrac{4}{3}[/tex]
Hence, the slope is [tex]-\dfrac{4}{3}[/tex].
LOTSSS OF POINTSS PLSSS EXPLAIN !!!!
Answers
Answer:
B
Step-by-step explanation:
I am an Alabama football fan, so I know football.
Okay. so the equation shown is 10=8-9+5+x
8-9 equals -1
-1+5=4
10-4=6
Answer:
b
Step-by-step explanation:
10=8-9+5+x
8-9 equals -1
-1+5=4
10-4=6
PLZ HELPPP
6.7 multiplied by 8
Answers
Answer:
53.6
Step-by-step explanation:
Answer:
53.6 is the answer :D
Step-by-step explanation:
Francesca must buy over $55 worth of art supplies to qualify for free shipping
Answers
Answer
the question isn't complete
Step-by-step explanation
cool
Which angles form a linear pair? Helppp
Answers
Given:
Pairs of angles in options.
To find:
The angles that form a linear pair.
Solution:
Linear pair: Two angles are called linear pair if they are lie on the same side of a straight line and their sum is 180 degrees.
In the given figure, we have two straight lines MO and NP.
Linear pairs for line MO are
[tex]\angle MRN[/tex] and [tex]\angle NRO[/tex]
[tex]\angle MRP[/tex] and [tex]\angle ORP[/tex]
[tex]\angle LRM[/tex] and [tex]\angle LRO[/tex]
Linear pairs for line NP are
[tex]\angle ORP[/tex] and [tex]\angle NRO[/tex]
[tex]\angle MRP[/tex] and [tex]\angle MRN[/tex]
[tex]\angle PRL[/tex] and [tex]\angle LRN[/tex]
So, pairs of angles in options A, B and D are not linear because they are not lie on the same side of a straight line.
Therefore, the correct option is C.
A pole that is 3.4 m tall casts a shadow that is 1.37 m long. At the same time, a nearby tower casts a shadow that is 35.75 mlong. How tall is the tower? Round
your answer to the nearest meter.
Answers
Answer:
89 meters tall
Step-by-step explanation:
Create and use the ratio between the shadow and the object given in the problem. If a pole is 3.4 m tall and it's shadow is 1.37 m long. The ratio between the shadow and the object is 340 : 137 in terms of [length of the shadow : length of the object].
Denominator = bottom number of a fraction.
Numerator = top number of a fraction.
To get from one to the other, just convert the ratio into a fraction where the numerator corresponds to what you are converting to. This is because the length of the shadow × length of the object / length of the shadow = length of the object. The denominator cancels.
Just as the length of the object × length of the shadow / length of the object = length of the shadow.
So since 35.75 represents the length of the shadow, you multiply this by 340 / 137 which is 88.7226277372... ≈ 89 meters which is the length of the actual object (to the nearest meter, or whole meter).
Tina contributes 9.5% of her monthly salary towards her 401(k) and her employer matches her contribution up to
5.4% of her annual salary. If the interest rate of her 401(k) is 8.1% compounded monthly and her monthly salary is
$2,461, determine the amount in her account after 25 years. Round to the nearest cent
a$339,804.33
$354,452.86
$344,941.24
d. $347.269.59
b
C
Answers
Answer:
A: $339,804.33
Step-by-step explanation:
YOU HAVE THE ANSWER BE HAPPY!! /( 0 v 0 )"/
Answer:
a
Step-by-step explanation:
What gives the value of this expression -20/-4+(-15) (-2)
Answers
Answer:
[tex]\frac{-20}{-4+(-15)(-2)} = \frac{-10}{13}[/tex]
Step-by-step explanation:
Given expression
= [tex]\frac{-20}{-4+(-15)(-2)}[/tex]
= [tex]\frac{-20}{-4+30}[/tex]
= [tex]\frac{-20}{26}[/tex]
= [tex]\frac{-10}{13}[/tex]
[tex]\frac{-20}{-4+(-15)(-2)} = \frac{-10}{13}[/tex]
What is the difference of 54.567 and 361.02
Answers
Answer:
-306.453
Step-by-step explanation:
306.453
(i just used a calculator hsfgkhd)
Define least common multiple
Answers
Answer:
another term for lowest common multiple
Step-by-step explanation:
btw I got this from the web hoped I helped:)
Answer:
its similar to least common factor; a number or constant that is the lowest a number can be multiplied to get itself.
Step-by-step explanation:
please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!
(lol optional): add my sc: tealyn337
Find the unit rate. 210 miles in 7 hours
That means you need to find out how many miles are traveled in 1 hour.
Your answer should be written like this: ____ miles in 1 hour OR ____miles per hour OR ____ mph and you need to fill in the blank with your answer!
Answers
Answer:
the answer will be 30 mikes per hour
Step-by-step explanation:
help?? pleaseeeee cant fudge it out lol
Answers
Answer:
cant see the photo
Step-by-step explanation:
can you tell me what it says-
The student council started with 50 cans of food for the food drive and then
collected 5 per student.
Answers
The system has how many solutions?
Answers
Answer:
two solutions ldk because thethe lines are split into four and if you take away two you still have four more I really don't know this
Answer:
No solution.
Step-by-step explanation:
[tex]y = 2x + 3 \\ y = 2x - 1[/tex]
Both equations are in slope-intercept form so we can combine both equations.
[tex]2x + 3 = 2x - 1[/tex]
Solve the equation.
[tex]2x - 2x = - 1 - 3 \\ 0 = - 4[/tex]
Both sides are different. Therefore, both graphs are parallel and no solutions.
15% of what number is 12?
Answers
Answer:
1.8 my brotha
Step-by-step explanation:
por que si es tru
You borrow $500. The simple intrest rate is 3%. You pay off the loan after 4 years. How much do you pay for the loan
Answers
Given:
Principal value of loan = $500
Rate of simple interest = 3%
Time = 4 year
To find:
The total amount pay for the loan.
Solution:
Formula for simple interest is
[tex]S.I.=\dfrac{P\times r\times t}{100}[/tex]
where, P is principal, r is rate of interest in percent and t is time in years.
[tex]S.I.=\dfrac{500\times 3\times 4}{100}[/tex]
[tex]S.I.=\dfrac{6000}{100}[/tex]
[tex]S.I.=60[/tex]
So, the simple interest is $60.
Now,
[tex]Amount=Principal+S.I.[/tex]
[tex]Amount=500+60[/tex]
[tex]Amount=560[/tex]
Therefore, the total amount pay for the loan is $560.
Which of the following percents is equivalent to 31/50
Answers
Answer:
62/100
Step-by-step explanation:
Determine the value of y, if x is 12.
y = x2 – 11
Answers
Answer:
y=13
Step-by-step explanation:
y=12 × 2 -11
y= 24 - 11
y= 13
Answer:
13
Step-by-step explanation:
You probably need this answer fast so....
Substitute x with 12
do 12 - 11
its 13
THANKS! Everyone if you answer this
Answers
Answer:
Down Below .
Step-by-step explanation:
A. Nickel and Copper.
B. The average temp is 1034.8575. I got that by adding all the temps then dividing it by 4
heyyyy someone help me with this
Answers
Answer:
1. 1 hour per day
2. sorry i don't know the answer
Step-by-step explanation:
7hours 30minutes - 1hour 30minutes = 6hours
6 divided by 6 = 1hour
Give the least common
multiple:
3a, 15
Answers
Answer:
3
Step-by-step explanation:
3 goes into 3a once and 15 5 times
complete the missing value in the solution to the equation.^
Answers
Answer:
10
Step-by-step explanation:
subtract 5y from both sides of the equation
Analyze the diagram below and complete the instructions that follow.
Find the value of x.
Answers
Answer:
10
Step-by-step explanation:
since it is a right angle triangle
[tex] {x}^{2} = ({5 \sqrt{2} })^{2} +({5 \sqrt{2} })^{2} [/tex]
[tex] x = \sqrt[2]{(5 \sqrt{2} )^{2} +( 5 \sqrt{2})^{2}} [/tex]
[tex]x = \sqrt{(25 \times 2) + (25 \times 2)} [/tex]
[tex]x = \sqrt{50 + 50} [/tex]
[tex]x = \sqrt{100} [/tex]
[tex]x = 10[/tex]
Marco can hit the archery target 3 out of every 15 times he shoots. If he missed 48 times, how many times will he be expected to hit the target?
Answers
Answer: 12
15-3=12 miss ratio
48misses/12 sets of misses= 4 sets of 15 shots
Up to twelve 4*3 twelves accurate shots provided he shot at least 60
Step-by-step explanation:
Blue Sky Jeans Company manufactures jeans.
A machine cuts the fabric pieces and workers sew
them.
One worker can sew the fabric pieces for a 1/2
pair of jeans in 1/8
hours?
How long does it take a worker to sew one pair of
jeans?
Answers
Answer: 1/4
Step-by-step explanation:
The velocity in meters per second of a ball that is dropped from a window at a hight of 10.5 meters is represented by the equation v = √2(9.8)(10.5). Estimate the velocity of the ball. Round your answer to the nearest tenth.
Answers
Answer:
14.3 meters per second.
Step-by-step explanation:
v=2(9.8)(10.5)
v=205.8
v=14.3
Answer:
v=145.522576 becuase you simpilyfy the equarion and you get this
Step-by-step explanation:
rounded to the nearest tenth it would be 145.5
I need help with this ASAP! (Click on the image I uploaded)
Answers
Answer:
d = 24.63
Step-by-step explanation:
82.53 - (21.7 + 17.3 + 18.9) =
24.63
which is larger 3/4 or 0.73
Answers
Answer:
3/4
Step-by-step explanation:
3/4 as a decimal is .75
.75>.73
Answer:
3/4 is larger
Step-by-step explanation:
3/4=0.75
0.75 is 0.02 larger than 0.73.
Hope this helps! :)