12. triangle KMP is isosceles with KM = KP. MX and PY are angle bisectors.
a. Is there enough information to prove triangle WMP is an isosceles
triangle? Explain.
b. Can you conclude that MX and PY are medians?
c. What one additional piece of information would allow you to prove
that MX and PY are altitudes?
triangle below
Answers
B: Yes, because the angle bisectors of MX and MP would also bisect the sides making them both medians.
C to prove that they were Altitudes we would need to know that the base angles of KMP are 60 degrees. if they are 60 degrees they would create two 30-60-90 triangles with the 90 degrees going from the center of the side directly up, perpendicularly to the altitude. (this would also make the triangle an equilateral triangle)
Related Questions
I will make up the BRAINLIEST!!!ls tell me the ......distinguish between expression and equation algebraically by providing an example of an algebraic expression and an example of algebraic equation.pls answer this I beg you !!!!
Answers
For example, 2+3 is a math expression
To make it an algebraic expression, we replace one of the numbers with a variable. Often this is the letter x. So let's say we replace the 2 with x. That would have the expression turn into x+3. What we're saying is "some number plus 3"
Normally 2+3 = 5 which is a true equation. Replace the 2 with x and we have x+3 = 5. So we're saying "some number plus 3 is 5". You can guess and check to find that the "some number" has to be 2
--------------------------------------
In summary, the expression example was x+3 and the equation was x+3 = 5
Note: an equation is simply two expressions set equal to each other.
The base of an isosceles triangle is 70 centimeters long. The altitude from the vertex angle to the base is 75 centimeters long. Find, to the nearest whole degree, the measure of the base angles of this triangle.
Answers
We get two similar right angled triangles ADC and BDC. For triangle ADC, AD = 35cm, DC = 75cm. Tangent of angle DAC can be written as:
[tex]tan(DAC)= \frac{CD}{DA} \\ \\ tan(DAC)= \frac{75}{35}= \frac{15}{7} [/tex]
Angle DAC is equal to tangent inverse of 15/7 which equals 65 degrees, rounded of to nearest whole degree.
Angle DBC = DAC = 65 degrees
Thus the base angles for the given isosceles triangle will be 65 degrees each, rounded of to nearest whole degree.
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease. y=8700(1.04)^4
Answers
Using exponential function concepts, it is found that it represents growth of 4%.
Exponential function:An exponential function is modeled by:
[tex]y(t) = y(0)(1 + r)^t[/tex]
In which:
y(0) is the initial value.r is the rate of change. If it is positive, it represents growth, and if it is negative, it represents decay.In this problem, the equation is:
[tex]y = 8700(1.04)^t[/tex]
Hence:
[tex]1 + r = 1.04[/tex]
[tex]r = 0.04[/tex]
Since r = 0.04 is positive, it represents a growth of 4%.
To learn more about exponential function concepts, you can take a look at https://brainly.com/question/24757163
Final answer:
The function y = 8700(1.04)^4 represents an exponential growth with a rate of increase of 4% per time period over four periods.
Explanation:
The given function is y = 8700(1.04)^4. This represents an exponential growth because the base of the exponent, 1.04, is greater than 1. To determine the percentage rate of increase, we observe that the base, 1.04, when written as a percentage, is 104%. This means that the amount increases by 4% over each time periodperiod. Since the exponent is 4, this growth occurs over four time periods. However, the overall increase is not simply 4% multiplied by 4, as exponential growth compounds wicompoundsth each time period.
To covert 180 seconds to minutes, which proportion should you use?
Answers
there are 60 seconds in 1 minute, how many minutes in 180 seconds?
[tex]\bf \begin{array}{ccll} seconds&minutes\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 60&1\\ 180&x \end{array}\implies \cfrac{60}{180}=\cfrac{1}{x}\implies x=\cfrac{180\cdot 1}{60}[/tex]
but usually, the proportion wil be a fraction, so usually you'd put the unit you need cancelled at the bottom or the denominator.
60s/m or m/60s , in this case we need to cancel the seconds, so 180 s * m/60s.
8. On a map, Jenia draws a segment from her home to her school. She measures
this segment and finds it is 3 cm. She knows her home is 0.5 mi from school.
What is the scale of her map in cm/mi?
A.6
B.3
C.13
D.16
Answers
3/.5 so we turn that into a division problem and divide 3 b .5
and our final answer is 6
A) –6m + 38
B) –6m + 76
C) –6m + 19
D) –24m + 19
Answers
In order to find the answer to this particular problem. you would have to do the [tex]Distributive [/tex] [tex]Property[/tex]
So, [tex] \frac{1}{2} (-12m + 38)[/tex]
[tex] \frac{1}{2} (-12m) = -6m \\ \\ \\ \frac{1}{2} (36) = 19 [/tex]
Your answer: [tex]-6m + 19 [/tex] (option C,)
Good luck on your assignment and enjoy your day
~[tex]LoveYourselfFirst:)[/tex]
Write an numerical expression to show the product of the difference of 12 and 4 and the sum of 3 and 2.
Answers
Product ⇒ Multiplication
Difference ⇒ Subtraction
Sum ⇒ Addition
What is the relative minimum of the function?
Answers
relative minimum is -2 when x is -3
The sum of two numbers is 37. Their difference is 7. What are the numbers?
Answers:
17 and 24
16 and 21
15 and 22
18 and 25
Answers
Answer:
15 and 22
Step-by-step explanation:
15+22=37 and 22-15=7
Javier has 4 juice boxes. Three are grape flavored. Write two equivalent fractions that describe the part of the juice boxes that is grape
Answers
—
4
And
6
—
8
They are two equivalent fractions that can describe the last of the juice boxes that is grape.
If you need me to explain, comment something
Final answer:
Javier has 4 juice boxes, 3 of which are grape flavored. The fraction representing grape juice boxes is 3/4, with equivalent fractions being 6/8 and 9/12.
Explanation:
Javier has 4 juice boxes and three are grape flavored. To describe the part of the juice boxes that is grape in the form of a fraction, we would use the total number of juice boxes as the denominator and the number of grape juice boxes as the numerator. So, the fraction representing the grape juice boxes is 3/4 (three out of four).
To write two equivalent fractions, we can multiply the numerator and the denominator by the same number. If we multiply both by 2, we get 6/8, which is equivalent to 3/4. Similarly, multiplying both by 3 gives us 9/12, which is also equivalent to 3/4.
On a softball field, home plate is 43 feet from the pitcher’s mound. A ball is hit at an angle of 27° east of the pitcher’s mound. The ball travels 162 feet before it is caught by an outfielder. Law of cosines: a2 = b2 + c2 – 2bccos(
a. Rounded to the nearest foot, the outfielder must throw the ball feet to return it to the pitcher.
Answers
Answer:
125 feet
Step-by-step explanation:
Given :
On a softball field, home plate is 43 feet from the pitcher’s mound.
A ball is hit at an angle of 27° east of the pitcher’s mound.
The ball travels 162 feet before it is caught by an outfielder.
To Find : Rounded to the nearest foot, the outfielder must throw the ball feet to return it to the pitcher.
Solution:
Law of cosines: [tex]a^2 = b^2 + c^2 -2bc cos A[/tex]
∠A = 27°
b = 43
c = 162
Substitute the given values
[tex]a^2 = 43^2 + 162^2 -2(43)(162) cos 27^{\circ}[/tex]
[tex]a^2 = 15679.497105[/tex]
[tex]a = \sqrt{15679.497105}[/tex]
[tex]a =125.21[/tex]
The outfielder must throw the ball 125 feet to return it to the pitcher.
Match the trinomials with their factors.
Answers
(a-10)(a-2) goes with d
(a-4)(a+5) goes with a
(a-10)(a+2) goes with c
e is not used.
if you want to check take the pairs and foil or box them out.
Four years ago, Tom’s age was 3/4 of the age he will be in 6 years. How old is he now?
Answers
The table of values represents a quadratic function. What is the average rate of change for f(x) from x = 0 to x = 10 ? Enter your answer in the box.
Answers
AVR = (f (x2) - f (x1)) / (x2 - x1)
Substituting the values we have:
AVR = (204 - (-6)) / (10 - 0)
Rewriting we have:
AVR = (204 + 6) / (10 - 0)
AVR = 210/10
AVR = 21
Answer:
the average rate of change for f (x) from x = 0 to x = 10 is:
AVR = 21
Jax solved an equation and justified his steps as shown below. What reason would justify step 2?
3x + 5 > 2 Step 1: Given
3x > -3 Step 2: ?
x> -1 Step 3: Division Property of Equality
Combine Like Terms
Subtraction Property of Equality
Division Property of Equality
Multiplication Property of Equality
Answers
i believe the answer is
Subtract Property of Equality
I'm not 100% sure but this is what i would pick
Is it possible to place 158 books on three shelves so that the first shelf has 8 fewer books than the second and 5 more books than the third shelf?
plz halp
Answers
We are given 158 books to place them on three different shelves like A, B, and C.
It says that shelf A has eight fewer books than shelf B and five more books than shelf C.
Mathematically, it can be written as (A = B - 8) and (A = C + 5).
Or we can write it as (B = A + 8) and (C = A - 5).
If we consider there are 'x' books in shelf A, then shelf B would have 'x+8' books and shelf C would have 'x-5' books.
We know that Total books are 158, so its sum must be equal to total books.
A + B + C = 158
x + (x+8) + (x-5) = 158
3x + 3 = 158
3x + 3 - 3 = 158 - 3
3x = 155
[tex] \frac{3x}{3} =\frac{155}{3} [/tex]
x = 51.667 books
But 'x' must be an integer value because number of books can not be a decimal form.
Hence, this arrangement is "NOT possible" for this question.
Answer:
it is NOT possible
Step-by-step explanation:
Classify the model as exponential growth or exponential decay. Identify the growth or decay factor AND the percent of increase or decrease per time period.
y=16(7/6)^t
Plz help!
Answers
The growth factor is 7/6.
The percentage increase in each time period is (7/6 -1)*100% ≈ 16.67%.
The formula v =bh means that the volume of a prism is equal to its base area times its height. Solve v= bh for b
Answers
Answer:
[tex]b = \frac{v}{h}[/tex]
Step-by-step explanation:
The formula v =bh means that the volume of a prism is equal to its base area times its height.
WE need to solve for b, we need to get 'b' alone
v=bh
to get 'b' alone we need to eliminate 'h'
To eliminate any variable we always do opposite operation.'
bh mean b times h
the opposite of multiplication is division
so to eliminate 'h' we divide by 'h' on both sides
[tex]\frac{v}{h} = \frac{bh}{h}[/tex]
[tex]b = \frac{v}{h}[/tex]
The formula for the base area (b) of a prism is b = v/h.
To solve the formula v = bh for b (the base area), to isolate b on one side of the equation. Follow these steps:
Divide both sides of the equation by h:
v/h = b
The base area (b) is now isolated on one side of the equation.
To know more about area here
https://brainly.com/question/30307509
#SPJ6
Use the triangle pictured to calculate the following measurements.
Perimeter: p = ___ units Semiperimeter: s = ___units Area: A ≈ ___square
triangle is 8 by 12 by 10
Answers
The perimeter of the triangle is the sum of its sides.
We have then:
P = 8 + 12 + 10
P = 30 units
Semi-perimeter:
In geometry, the semiperimeter of a polygon is half its perimeter.
s = P / 2
s = 30/2
s = 15 units.
Area:
Knowing the semiperimeter and the sides, the area is:
A = root (s * (s-a) * (s-b) * (s-c))
where,
s: semi-meter
a, b, c are sides.
A = root (15 * (15-8) * (15-12) * (15-10))
A = 39.68626967
A = 40 units ^ 2
Answer:
Step-by-step explanation:
40 PTS if u do this correctly!
Algebra 1
Do #'s 4,5,6,7,8,9,10,12,13,14
Answers
n^2+4n=32
--------------------------
Subtract 32 from each side
n^2+4n-32=32-32
n^2+4n-32=0
--------------------------
Factor left side of equation
(n-4)(n+8)=0
--------------------------
Now set the factors to equal 0
n-4=0
or/and
n+8=0
--------------------------
n=4 and/or n=-8
====================================================================
5.)
t^2-26t=56
Subtract 56 from each side
t^2-26t-56=56-56
t^2-26t-56=0
----------------------------
Factor left side
(t+2)(t-28)=0
--------------------------
Set factors equal to 0
t+2=0
or/and
t-28=0
t = -2 and/or t = 28
===================================================================
As you may have noticed you need to subtract to get 0 on the right side, then you factor the left side and then switch the symbols from the numbers. Negative to Positive and Positive to Negative. I'll keep provided the work for the next 3 or 4 questions
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6.)
z^2-14z=72
----------------
Subtract 72 from each side
z^2-14z-72=72-72
z^2-14z-72=0
----------------
Factor left side
(z+4)(z-18)=0
----------------
Set factors equal to 0
z+4=0 or z-18=0
Invert
z = -4 and z = 18
===================================================================
7.)
80+a^2=18a
-------------------------
Simplify
a^2+80=18a
------------------------
Subtract 18a from each side
a^2+80-18a=18a-18a
a^2-18a+80=0
------------------------
Factor left side
(a-8)(a-10)=0
-----------------------
Set factors to equal 0
a-8=0 or a-10=0
Invert
a = 8 and a = 10
===================================================================
8.)
u^2=16u+36
--------------------------
Subtract 16u+36 from both sides.
u^2-(16u+36)=16u+36-(16u+36)
u^2-16u-36=0
--------------------------
Factor left side
(u+2)(u-18)=0
--------------------------
Set factors to 0
u+2=0 or u-18=0
Invert
u = -2 and u = 18
====================================================================
9.)
3h^2+6h=105
--------------------------
Subtract 105 from each side
3h^2+6h-105=105-105
3h^2+6h-105=0
--------------------------
Factor left side
3(h-5)(h+7)=0
--------------------------
Set factors to equal 0
h-5=0 or h+7=0
h = 5 and h = -7
===================================================================
10.)
a^2+14a=-45
---------------------------
Subtract -45 from each side
a^2+14a-(-45)=-45-(-45)
a^2+14a+45=0
--------------------------
Factor left side
(a+5)(a+9)=0
-------------------------
Set factors to equal 0
a+5=0 or a+9=0
Invert
a = -5 and a = -9
===================================================================
12.)
w=5 and w=6
===================================================================
13.)
k=6 and k=-9
===================================================================
14.)
h=5 and h=12
Person 1 can do a certain job in fifteen minutes, and person 2 can do the same job in thirty minutes. When completing the job together, which expression would be used to represent the amount of work done by person 1?
A.1/15
B.x/15
C.15
pls asap
Answers
Let time taken by first person =x
So x = 15
Let time taken by next two persons be y
So 2y=30 or y=15
So x= y = 15
Time taken = 1/x=1/y=1/15
Answer is a
Let d represent the number of degrees in one angle of a regular polygon, and n represent the number of sides of the polygon to tessellate. which equation can be used to determine if the polygon will tessellate? 360° · n = d 360° · d = n 360° ÷ d = n n + d = 360° brainly
Answers
Answer:
360°/d = kn.
Step-by-step explanation:
To know if a regular polygon can tessellate, we divide 360 by the interior angle of the polygon and the result needs to be an integer, but not in all cases you get the number of sides of the polygon, you get a multiple of the number of sides. So, none of the options are correct, the correct would be
360/d = kn, where k is an integer.
What are the angle measures of the triangle 6 12 6sqrt3?
Answers
Answer:
The measure of angle A is 30 degree, measure of angle B is 90 degree and measure of angle C is 60 degree.
Step-by-step explanation:
The measures of given sides are 6, 12, [tex]6\sqrt{3}[/tex].
According to the Law of Cosine:
[tex]\cos A=\frac{b^2+c^2-a^2}{2bc}[/tex]
Using Law of Cosine, we get
[tex]\cos A=\frac{(12)^2+(6\sqrt{3})^2-(6)^2}{2(12)(6\sqrt{3})}[/tex]
[tex]\cos A=\frac{216}{144\sqrt{3}}[/tex]
[tex]\cos A=\frac{3}{2\sqrt{3}}[/tex]
[tex]\cos A=\frac{\sqrt{3}{2}[/tex]
[tex]A=30^{\circ}[/tex]
Similarly,
[tex]\cos B=\frac{a^2+c^2-b^2}{2ac}[/tex]
[tex]\cos B=\frac{(6)^2+(6\sqrt{3})^2-(12)^2}{2(6)(6\sqrt{3})}[/tex]
[tex]\cos B=\frac{0}{36\sqrt{3}}[/tex]
[tex]\cos B=0[/tex]
[tex]B=90^{\circ}[/tex]
Therefore, measure of angle A is 30 degree and measure of angle B is 90 degree.
According to angle sum property, the sum of interior angles of a triangle is 180 degree.
[tex]A+B+C=180^{\circ}[/tex]
[tex]30^{\circ}+90^{\circ}+C=180^{\circ}[/tex]
[tex]C=60^{\circ}[/tex]
Therefore the measure of angle C is 60 degree.
The triangle with sides 6, 12, and 6√3 has angles of 30 degrees, 60 degrees, and 90 degrees.
Given a triangle with sides 6, 12, and 6√3, we can find the angles using the Law of Cosines.
First, we use the formula for the Law of Cosines,
c² = a² + b² - 2ab * cos(C).
Let a = 6, b = 6√3, and c = 12.
We substitute these values into the formula to find angle C,
cos(C) = (6² + (6√3)² - 12²) / (2 * 6 * 6√3)
Compute the values inside the formula:
6² = 36
(6√3)² = 108
12² = 144
cos(C) = (36 + 108 - 144) / 72
cos(C) = 0
Therefore, angle C = 90 degrees.
To find the other angles, we use the Law of Sines,
(sin A / a) = (sin B / b) = (sin C / c).
We already know C = 90°, so (sin C / 12) = 1/12.
For angle A,
sin(A) / 6 = 1/12
sin(A) = 6/12 = 1/2
A = 30 degrees
For angle B:
B = 180° - 90° - 30° = 60 degrees
Therefore, the angles of the triangle are 30 degrees, 60 degrees, and 90 degrees.
n a right triangle, the sum of the squares of the leg lengths is equal to the square of the hypotenuse length.
Answers
The total scores on the Medical College Admissions Test (MCAT) in 2013 follow a Normal distribution with mean 25.3 and standard deviation 6.5.
a) what are the median and the first and third quartiles of the MCAT scores? what is the interquartile range?
please i need help!!!
Answers
x=25.3 - 0.6745(6.5) = 25.3 - 4.3843 = 20.9157 1st Quartile
0.6745 = (x - 25.3) 6.5
x = 25.3 + 0.6745 = 25.3 + 4.3843 = 29.6843 3rd quartile
interquartile range is the difference between the 1st quartile and the 4th quartile
What is the slope of the line whose function f satisfies f(−2)=1 and f(5)=−10f(−2)=1 and f(5)=−10?
Answers
m = -11/7
The slope of the line is -11/7.
Sue wakes up at 7:45
a.m. and jogs for 40 minutes. she then spends 45 minutes dressing for school before she catches the bus. at what time does sue get on the bus?
Answers
8:25 plus 45 mins = 9:10
She catches it at 9:10
Margo has a coin collection. She was given 1 coin as a gift, and she adds 3 coins per year. Which of the graphs below represents Margo's coin collection? (1 point) Select one: a. graph of line going through 1, 2 and 3, 4 b. graph of line going through 1, 1 and 3, 3 c. graph of line going through 1, 4 and 3, 10 d. graph of line going through 1, 2 and 2, 5
Answers
y=total amount of coins
x=year
y=3y+1
Hope this helps you
~True boss
option: c. graph of line going through (1, 4) and (3, 10)
Step-by-step explanation:It is given that:
Margo has a coin collection.
She was given 1 coin as a gift, and she adds 3 coins per year.
i.e. she started with a initial of one coin and add 3 coins each year.
That is this situation can be represented with the help of a function:
C(t) which represents the number of coins she has in 't' years.
Now,
C(0)=1
Also,
C(t)=3t+1-------------(A)
Hence, we will check each of the given functions whether at the value of t they passes through that point or not.
a)
it is given that:
Graph passes through (1,2) and (3,4)
i.e. when t=1 C(t)=2
and when t=3 C(t)=4
but on putting the value of t in equation (A) it does not hold true.
same could be done for option (b) and option (d).
But in option (c)
It hold true.
c. graph of line going through 1, 4 and 3, 10Since,
when t=1
C(t)=3×1+1=4
when t=3
C(t)=3×3+1=10
Hence, the correct answer is:
c.) graph of line going through 1, 4 and 3, 10
What is the arc length of an angle of 7π 6 radians formed on the unit circle? A) π 6 B) 5π 6 C) 7π 6 D) 5π 6
Answers
y=sint
so x^2+y^2=1
could be represented parametrically
and you would take
Integral
sqrt (1-(dx/dt)^2+(dy/dt)^2) from 0 to 7pi/6
Note, I'm note sure if this is the correct integration formula
Answer:
C
Step-by-step explanation:
Solve the inequality.
3 + |t + 4| < 10
A. t > 3 or t < –11
B. –3 < t < 11
C. –11 < t < 3
D. t < 3 and t > 11
Answers
Answer:
Just took the test Its C