Given :
The measurement of the two angles of a triangle are 50° and 58°.⠀
To Find :
The measurement of the third angle of the triangle.⠀
Answer :
72° .⠀
Explanation :
We know that,
Sum of all angles of a triangle = 180°⠀
Therefore,
[tex]{ \longrightarrow \sf \qquad \angle1 + \angle2 + \angle3= 180 {}^{ \circ} }[/tex]
[tex]{ \longrightarrow \sf \qquad 50 {}^{ \circ} + 58{}^{ \circ}+\angle3= 180 {}^{ \circ} }[/tex]
[tex]{ \longrightarrow \sf \qquad 108{}^{ \circ}+\angle3= 180 {}^{ \circ} }[/tex]
⠀
Subracting 108° from both sides :
[tex]{ \longrightarrow \sf \qquad 108{}^{ \circ} - 108 {}^{ \circ} +\angle3= 180 {}^{ \circ} - 108 {}^{ \circ} }[/tex]
[tex]{ \longrightarrow \pmb{\bf \qquad \angle3= 72 {}^{ \circ} }}[/tex]
⠀
Therefore,
The measurement of the third angle of the triangle is 72° .Brainliest if correct
Answer:
[tex]\frac{1}{4} -\frac{1}{12} = \frac{3}{12} -\frac{1}{12} =\frac{2}{12}[/tex]
So hence, Your answer is 2/12
shown above is the other answers
Thanks!
Increase 400 by 10% and then decrease the answer by 10%
Answer:80
Assume the number to be 400 for instance,
10% of 400 increased = 400 + ( 10/100 × 400 )
= 400 + 40 = 440
The resulting number decreased by its 10% = 400 - (10/100 × 400)
= 400 - 40 = 360
Now, net decrease = 440 - 360 = 80
Answer:
400.
10% of 400 is 40 (Simply reduce the hundreds place to the tens place)
So now we have 440.
Decrease it by 10% again, and that brings you right back to 400.
Martin jogged around the lake in 114
hour. Esperanza jogged around the lake in 56
hour. How much longer did Martin take than Esperanza in hours?
Answer:
58 Hours
Step-by-step explanation:
Given:
Martin~114 hours
Esperanza~56
Explanation:
The questions asks "How much longer". When this is asked, we know that we must subtract.
114-56=58
Answer: 58
If the radius of a circle is decreased by 20%, find the percentage decrease in its area.
Answer:
36%
Step-by-step explanation:
Area of circle is
[tex]\pi {r}^{2} [/tex]
If the radius is decreased by 20%. Then the radius will be
80% of the original radius.
So our radius is 0.8.
So our area is
[tex]\pi(0.8r) {}^{2} [/tex]
[tex]\pi(0.64 {r}^{2} )[/tex]
Since pi is constant, the radius only really matters.
We went from
[tex]1 {r}^{2} [/tex]
to
[tex]0.64 {r}^{2} [/tex]
So our area will decrease by 36%
Proof: Let the radius be 10.
So the area of circle will be
[tex]\pi(10) {}^{2} = 100\pi[/tex]
Let our other radius is 8 because 8 is a 20% decrease of the orginal radius
[tex]\pi(8) {}^{2} = 64\pi[/tex]
Next, we subtract the area to find decrease in area
[tex]100\pi - 64\pi = 36\pi[/tex]
Since pi is constant, we can ignore it so our decrease in area is 36%
pls help with this
Suppose PQR is rotated 90 about the origin, (0,0). Find the coordinates of P,Q , and R . Then sketch P Q R .
Answer:
3,2
Step-by-step explanation:
Please help me ASAP
I will mark brainliest
( Its not hard im just tired )
Answer:
Step-by-step explanation:
Length x Width= Area
12 x 12= 144
144in^2
Urgent!!! Simplify the complex rational expression?
Answer:
(3x +2w)/(2x -3w)
Step-by-step explanation:
The usual rules for adding and dividing fractions apply:
(a/b) +(c/d) = (ad +bc)/(bd) . . . . . . . use a common denominator
(a/b)/(c/b) = a/c . . . . . . . . . . . . same denominators "cancel"
__
[tex]\dfrac{\dfrac{3}{w}+\dfrac{2}{x}}{\dfrac{2}{w}-\dfrac{3}{x}}=\dfrac{\dfrac{3x+2w}{wx}}{\dfrac{2x-3w}{wx}}=\boxed{\dfrac{3x+2w}{2x-3w}}[/tex]
median of 13, 6, 24, 18, 33, 5, 13, 48, 9, 11, 36, 28, 15, 6, 13
Answer:
13
Step-by-step explanation:
Given:
13, 6, 24, 18, 33, 5, 13, 48, 9, 11, 36, 28, 15, 6, 13
To Find:
Median
Note:
Finding Median:
⇒ Arrange data values from lowest to highest value
⇒ The median is the data value in the middle of the set
⇒ If there are 2 data values in the middle the median is the mean of those 2 values.
Solve:
5, 6, 6, 9, 11, 13, 13, 13, 15, 18, 24, 28, 33, 36, 48
5, 6, 6, 9, 11, 13, 13, 13, 15, 18, 24, 28, 33, 36, 48
5, 6, 6, 9, 11, 13, 13, 13, 15, 18, 24, 28, 33, 36, 48
5, 6, 6, 9, 11, 13, 13, 13, 15, 18, 24, 28, 33, 36, 48
5, 6, 6, 9, 11, 13, 13, 13, 15, 18, 24, 28, 33, 36, 48
5, 6, 6, 9, 11, 13, 13, 13, 15, 18, 24, 28, 33, 36, 48
5, 6, 6, 9, 11, 13, 13, 13, 15, 18, 24, 28, 33, 36, 48
5, 6, 6, 9, 11, 13, 13, 13, 15, 18, 24, 28, 33, 36, 48
As you can see now.. Median is 13
[RevyBreeze]
Answer:
Median Arrayed Data :From ascending order; 5,6,6,9,11,13,13,13,15,18,24,28,33,36,48
Now,
Median= n+1/2
=15+1/2
=16/2
=8
5,6,6,9,11,13,13,13,15,18,24,28,33,36,48
Median = 8 th term= 13.
Hence the median is 13.
2^3 + 4m divided by 2 when m = 1.5
help me pls
Answer:
The answer should be 7
Step-by-step explanation:
2³ = 8
4 x 1.5 = 6
8 + 6 = 14
14 ÷ 2 = 7
What’s 6.34 x 10 to the 5th power in standard notation
Answer:
Step-by-step explanation:
The exponent is 5, making it 10 to the power of 5. As the exponent is positive, the solution is a number greater than the origin or base number. To find our answer, we move the decimal to the right 5 time(s):
4. Find the measure of one exterior angle of a regular octagon.
Answer:
Solving method
360°÷8 (number of sides)
= 45°
What is the area, in square inches, of the rectangle below?
3/8 inch
2/3 inch
Answer choices:
A square 16/9inches
B 25/24 square inches
C 5/11 square inches
D 6/24 square inches
PLEASE HELP ASAP!!
*if you want to see it with your eyes then you can look at the picture* :)
Answer:
Given, length, l = 3/8 inches
breadth, b =2/3 inches
We have
area = l × b
= 3/8 × 2/3
= 6/24
What is 8/9 of 3/8?
A. 11/72
B. 2/7
C. 1/3
D. 3/7
Answer:
1/3
Step-by-step explanation:
Jessica is 2 years older than Maggie. The sum of their ages is 26. Define variables and write an algebraic equation to represent the situation.
Answer:
2+26= 27
Step-by-step explanation:
sana maka tulong po Ito
The continuous random variable N has a normal distribution with mean 7.5 and standard deviation 2.5. For which of the following is the probability equal to 0 ?
P(N=8)
P(N>8)
P(N<8)
P(7 8)
Using the normal distribution, it is found that P(X = 8) is equals to zero.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.As in any continuous distribution, the probability of an exact value, that is, P(X = x), is of 0.Hence, from the last bullet point, it is found that P(X = 8) is equals to zero.
More can be learned about the normal distribution at https://brainly.com/question/24663213
51
G
F
H
E
-3
0
A
D
В
C
A. Reflection across the x-axis followed by reflection across the y
axis
B. Rotation of 90° clockwise about the origin
across the x-axis
Answer: A
Step-by-step explanation:
Straight away, we can see there is some sort of reflection over the y-axis.
Eliminate B and D.Then, we can see that, there is a reflection over the x-axis.
Eliminate C.This matches up with A.
Help i don’t understand this question
Answer:
828 in²
Step-by-step explanation:
To find the surface area of a triangular prism, you find the area of each side and add them together.
Find the area of each rectangular side:
Side 1 : 9 × 20 = 180 in²
Side 2 : 15 × 20 = 300 in²
Side 3 : 12 × 20 = 240 in²
Find the area of the triangular sides:
Area of a Triangle = [tex]\frac{1}{2}[/tex]bh
As you can see, 9 and 12 both work as the height/base for the triangular sides, so
Δ Side 1 = [tex]\frac{1}{2}[/tex]bh = [tex]\frac{1}{2}[/tex](9)(12) = 54
Δ Side 2 is also 54.
Add the areas of all the sides together:
180 + 300 + 240 + 54 + 54 = 828 in²
here a subtraction problem that has been solved incorrectly for 21-9=11 choose the addition sentence that check this subtraction problem the choices are 21-9=11 29+9=30 what is the correct answer but my answer came to 21+9=30 all it said is change it to a addition problem
Answer:
11+ 9 = 20
Step-by-step explanation:
=> 21-9=11
21 - 9 equals to 11 is actually a wrong answer
So in order to find the subtraction problem that will help us truly know whether the equation is wrong
=> 11+ 9 = 20
OR THE SECOND EQUATION IS
=> 21 - 11 = 10
In a class of 25 students, 7 students have 2 brothers or sisters. 4 students have 1 brother or sister. 3 students do not have any brothers or sisters. 6 students have 3 brothers or sisters. The remaining students have 4 brothers or sisters.
Part A
Use the drop-down menus to make the statement true.
The scale of the line plot should have Choose... (0, 1, 7, 8) as its least data value and Choose... (3, 4, 7, 25) as its greatest data value.
Part B
Use the drop-down menus to make each of the statements about the number of dots true.
There will be Choose... (1, 2, 3, 4) dots above 1.
There will be Choose... (4, 5, 6, 7) dots above 4.
There will be three dots above Choose... (0, 1, 2, 3)
Using the basis of how we must represent data on a graph, we can write:
A) The scale is 1, and the maximum value is 7.
B)
Above 1 we already know that there must be 4 dots. Above 4, there must be 6 dots. We only will have 3 dots above the 0 (3 students have 0 brothers or sisters).How to correctly represent the data?
First, we know that the sample has 25 people in it, an we measure the number of brothers, in such a way that the number of brothers/sisters goes from 0 to 5.
Then, the horizontal axis must go from 0 to 4, in such a way that above the 0 we have 3 dots (because 3 students have 0 brothers or sisters), above the 1 we have 4 dots (because 4 students have one brother or sisters), and so on.
7 students have 2 brothers or sisters (that is the largest number) so the vertical axis must go from 0 to 7.
A) The scale of the line plot is 1, each dot represents 1 student. And the greatest value is 7 (for the students with 2 brothers or sisters).
B)
Above 1 we already know that there must be 4 dots. Above 4, there must be 6 dots. We only will have 3 dots above the 0 (3 students have 0 brothers or sisters).If you want to learn more about plotting data, you can read:
https://brainly.com/question/24461724
Dose this image show an enlargement or reduction
Answer:
reduction
Step-by-step explanation:
This image shows a reduction of the triangle because the original image of the triangle has a side of 3.4. The image on the right has a shorter length: 1.7. From the information that is given, the image shows reduction.
statement TRUE or FALSE? Explain your answer in full sentences. 0.34 is greater than 0.5 because 34 is greater than 5
Answer:
False
Step-by-step explanation:
.34 is smaller than .5 because .5 is 50/100 and .34 is 34/100
working with decimals is different than working with whole numbers.
Which of the following proves
Answer:
option B
Step-by-step explanation:
hey mate i think it is option B
i hope it helps
NO LINKS!! Solve each triangle. Please show work!!
1. a= 3, b= 4, C= 40°
2. a= 3, c= 2, B= 110°
3. a= 12, b= 13, A= 120°
4. a= 12, b= 13, c= 5
For problems 1, 2, and 4, check out this link
https://brainly.com/question/27021415
as they were answered there earlier.
=======================================================
Problem 3
Answer: Not possible to solveA triangle cannot be constructed with these parameters.
----------------------------
Explanation:
Use the Law of Sines to find angle B
sin(A)/a = sin(B)/b
sin(120)/12 = sin(B)/13
sin(B) = 13*sin(120)/12
sin(B) = 0.93819419
B = arcsin(0.93819419) or B = 180 - arcsin(0.93819419)
B = 69.75047247 or B = 180 - 69.75047247
B = 69.75047247 or B = 110.24952753
These angle values are approximate.
-----------
If B = 69.75047247, then,
A+B+C = 180
C = 180 - (A+B)
C = 180 - (120 + 69.75047247)
C = -9.75047247000001
We get a negative result which isn't valid.
This means B = 69.75047247 isn't valid either.
-----------
If B = 110.24952753, then,
A+B+C = 180
C = 180 - (A+B)
C = 180 - (120 + 110.24952753)
C = -50.24952753
We get a similar conclusion here as well.
-----------
No matter what value of B we go with, we end up with a negative value for angle C.
Negative angles are not allowed.
Therefore, we cannot construct a triangle with sides a = 12, b = 13 and angleA = 120 degrees.
This is one example of an SSA triangle leading to no possible solutions. Refer to the SSA ambiguous case for more info.
-----------
Check out the diagram below. Imagine that point B can be anywhere on the dotted circle. Imagine it can rotate around as in an animation. This circle is centered at point C and has radius a = 12. No matter where point B is placed, we cannot get it to land on the horizontal line to therefore form a triangle. Simply put: side a = 12 is too short.
I used GeoGebra to make the diagram and make sure it's to scale. This is to visually verify that we cannot construct such a triangle with these parameters.
Choose the symbol that correctly compares these numbers.
56.248 ? 56.246
A.
=
B. >
C. <
Help pls!
Answer:
Answer is B cuz the former no. is bigger than the latter
Convert: 5,928 milliliters = ______ liters
0.5928 liters
5,928,000 liters
592.8 liters
5.928 liters
Answer:
5.928 liters is the correct answer
Step-by-step explanation:
Since 1 milliliter is 0.001 liters
Multiply both values by 5928.
1 x 5928 equals 5928 0.001 x 5928 = 5.928Therefore... 5928 milliliters equals 5.928 which is letter D
Answer:
The answer is 0.5928 liters
Step-by-step explanation:
1 liter is made of 1000 milliliters
So 5,929 ÷ 1000
gives us 0.5928
Determine the value of the expression -3.75 +4.35 -6.55.
-3.75 +4.35 -6.55
-3.75 + 4.35 = 0.6
0.6 - 6.55 = - 5.95
- 3.75 + 4.35 - 6.55 = - 5.95
Which functions are even?
1.) f(x) = x4 – x2
2.) f(x) = x2 – 3x + 2
3.) (x) = -2)
4.) f(x) = 5x1
Answer:
1. Even
2. Neither
3. Even
4. Odd
Equations: 1 and 3 are even
Step-by-step explanation:
1. f(-x) = (-x)^4 - (-x)^2
= x^4 - x^2 Even
2. f(-x) = (-x)^2 - 3(-x) + 2
= x^2 + 3x + 2 Neither
3. f(-x) = -2
= -2 Even
4. f(-x) = 5(-x)
= -5x Odd
I hope this helps!
트 E At which value in the domain does f(x) = 0
Answer:
wheres the graph
Step-by-step explanation:
Find the value of xx, yy, and zz, in the rhombus below.
Answer:
Step-by-step explanation:
A rhombus is a quadrilateral where all four sides are equal and the opposite angles are equal.
3x - 4 = 3y + 8 = -2x - 9 = 39
The value of x is 43/3
The value of y is 31/3
The value of z is -24
What is a rhombus?A rhombus is a quadrilateral where all four sides are equal and the opposite angles are equal.
We have,
Rhombus:
All four sides are equal.
So,
3x - 4 = 3y + 8 = -2x - 9 = 39
Now,
3x - 4 = 39
3x = 39 + 4 = 43
3x = 43
x = 43/3
3y + 8 = 39
3y = 39 - 8
3y = 31
y = 31/3
-2z - 9 = 39
-2z = 39 + 9
-2z = 48
z = -24
Thus,
The value of x is 43/3
The value of y is 31/3
The value of z is -24
Learn more about rhombus here:
https://brainly.com/question/12665650
#SPJ2
need a lot of help