The diagonal of the square MISA bisect the angle at the vertices
The values of r, s and t are r = 2.6, s = 34.6 and t = 6.9
How to determine the values of r, s and t?The given parameters are:
MPA = (2s + 3t)º
ISP = (4r + s)°
MIS = (3s – 2t)º
The angle between the diagonal of a square is 90 degrees.
So, we have:
2s + 3t = 90
Multiply by 2
4s + 6t = 180
The angle at the vertices of the square is 90 degrees.
So, we have:
3s - 2t = 90
Multiply by 3
9s - 6t = 270
The diagonal bisect the angle at the vertex.
So, we have:
4r + s = 45
Rewrite the equations
4s + 6t = 180
9s - 6t = 270
4r + s = 45
Add the first and the second equations
4s + 9s + 6t - 6t = 180 + 270
13s= 450
Divide by 13
s = 34.6
Substitute s= 34.6 in 4r + s = 45 and 3s - 2t = 90
4r + 34.6 = 45
Solve for r
r = 2.6
3 * 34.6 - 2t = 90
Solve for t
t = 6.9
Hence, the values of r, s and t are r = 2.6, s = 34.6 and t = 6.9
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-7.2x+3.5=-8.7x-10 help plz
Calculate the distance point A (−3, 6, 2) and point B (4, −5, 6) are from the origin. Round to the nearest tenth.
Approximately how much farther from the origin is point B than point A?
1.8 units
2.4 units
3.2 units
4.0 units
Answer: 1.8 units
Step-by-step explanation:
Help me out plz match the term with the definition
Answer:
electron = negative charge
proton = positive charge
neutron = neutral charge
nucleus = center of an atom
quark = small particle that make up protons and neutrons
Step-by-step explanation:
Can anyone figure this out pls
Answer:
there! so the one with the +3 would be placed higher up than the one with a negative 3 because they are referring to where the line crosses the y axis. other than that, they would be parallel lines.
Step-by-step explanation:
mr clean
Find the measure of each exterior angle for a regular octagon. Round to the nearest tenth if necessary.
Answer:
I guess it is 45°
Step-by-step explanation:
Hope it helps!!!!
Answer:
45°
Step-by-step explanation:
the sum of the exterior angles of a polygon is 360°
a regular octagon has 8 equal exterior angles , then
exterior angle = 360° ÷ 8 = 45°
on friday, a local hamburger shop sold a combined total of 540 hamburgers and cheeseburgers. the number of cheeseburgers sold was three times the number of hamburgers sold. how many hamburgers were sold on friday
please help
Answer:
so you would do 540 times 3and that would equal 1620
Please Help!!
Help!!!
Answer:
it is option D because it make supplementry or 180°
What is the surface area, in square feet, of the triangular prism?
Answer:
C. 108 square inches
Step-by-step explanation:
How do we find the surface area?
❖ To find the surface area, we have to calculate the area of each
shape on a 3D figure.
Solving for Area of Triangles
[tex]\frac{3*4}{2}[/tex] [tex]12/2 = 6[/tex] [tex]6*2 = 12[/tex] Area of triangles are 12 square feet.Solving for Area of Rectangles
[tex](8*3)+(8*4)+(8*5)[/tex] [tex]24+32+40[/tex] [tex]96[/tex] Area of rectangles are 96 square feet.Solving Area of Rectangle and Triangle
96 + 12108 square inchesHave a lovely rest of your day/night, and good luck with your assignments! ♡
Answer:
108 ft²
Step-by-step explanation:
Area of a rectangle = width × length
Area of a triangle = 1/2 × base × height
Surface area = rectange + rectangle + rectangle + 2 congruent triangles
= (3 × 8) + (4 × 8) + (5 × 8) + 2(1/2 ×3 × 4)
= 24 + 32 + 40 + 12
= 108 ft²
what is the point slope form of (-7,5) , (1,-1)
Answer:
y-5=-2/3(x-(-7))
Step-by-step explanation:
I just learned this recently as well so bare with me.
So the point slope form is y-y1=m(x-x1)
So first we have to find the slope. So we do 5-(-1)/-7-1=-6/8=-3/4
So now, we just have to plug in the numbers.
So y-5=-2/3(x-(-7)).
I know that looks a little funky but if you used the slope intercept form, you would get the same answer if you just simplified this version. Of course, you don't have to simplify this version because this version is completely acceptable.
I hope this helped.
Write a formula for each situation.
There are sixty minutes, m, in an hour, h.
Hey there!
Equation: 60m = h
Goodluck and enjoy ^_^
Answer:
What is the rest of the question? There isn't enough information.
Step-by-step explanation:
HELP!!
The points M(-2, –7), N(-2,1), and O(–7, -5) form a triangle. find the
perimeter of the triangle.
Answer:
Step-by-step explanation:
what do you mean by the term standard unit ?
Answer:
When numbers become very small or large standard form (or standard index form) is used to make them manageable. In standard form or unit a number is written as:
[a number between 1 and 10] × [ an integer power of 10]
Can yall answer this question?
Answer:
4/25
Step-by-step explanation:
This fraction to the power of 2 is the same as powering a normal number, so what you are going to do first is do each number Alone so 2 to the power of 3 is 4 and 5 to the power of 2 is 25 then just put it back to fraction 4/25
Hope this helpsssd
Select the solution(s) of the original equation. (x + 4)2 – 3(x + 4) – 3 = 0
Answer:
x = ± √3 = ± 1.7321
x = 1
x = -1
Step-by-step explanation:
If it correct can you give me Brainliest plz
Answer:
B and D
Step-by-step explanation:
EDGE2020 :)
There are 8 boys in a class of 20 students. What is the ratio of boys to girls?
Answer:
8:12
2/3
Step-by-step explanation:
Help me please........
Answer
4
~~~~~~~~~~~~~~~~~~~~~~~
Yeah it's 4 again double check!
The amount that Susan charges per hour for babysitting is directly proportional to the number of children she is
watching. She charges $4.50 for 3 kids.
How much would she charge to babysit 5 kids?
in your own words explain the steps you would need to take to find slope from the data table .
Answer:
look at explanation, i got it on ed.
Step-by-step explanation:
Start by choosing two data points. Calculate the difference between the second y value and the first y value. Then divide that by the difference between the second x value and the first x value.
Answer:
Start by choosing two data points. Calculate the difference between the second y value and the first y value. Then divide that by the difference between the second x value and the first x value.
Step-by-step explanation:
-3x + 6 = 2x - 24 how do i do this its not high school btw its 8th grade
Answer:
x = 6
Step-by-step explanation:
Ok first you need to get to combine like terms, so first subtract six from the left so it cancels out the left side and what you do to one side you have to do it to the other so after you do that you get
-3x = 2x -30
then you subtract 2x from the right side and 2x on the left side getting
-5x = -30
your goal is to get by itself so what you can do is divide -5 on both sides getting
x = 6
if you are wondering why its a positive and not a negative its because a negative divided or multiply by a negative makes a positive.
Answer:
x=6
Step-by-step explanation:
-3x+6=2x-24
6=5x-24
30=5x divide both sides by 5
x=6
Vince had $148.79 in his checking account. He wrote a check for $54.78 to buy a new skateboard. Then, Vince deposited his paycheck of $308.92. Vince also wrote a $10 check to charity. What is Vince's balance now?
Answer:
148.79 - 54.78 + 308.92 - 10 = 392.93
Step-by-step explanation:
Writing a check means taking away money, depositing a check adds money.
Please help me solve for x
Answer:
7
Step-by-step explanation:
E + F + G = 180°
112 + (13x-7) + 4x = 180
112 + 13x - 7 +4x =180
17x + 105 = 180
17x = 180 - 105
17x = 75
x = 75/17
growth: Word problems V84
Kenny lives in Greenpoint, where the cost of living increases by 8% every year. If Kenny
spends $50,700 this year, how much can he expect to spend 11 years from now to maintain
the same standard of living?
If necessary, round your answer to the nearest cent.
Using an exponential function, it is found that he must spend $118,214 in 11 years to keep the same standard of living.
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.His current cost of living is of $50,700, which increases by 8% yearly, hence A(0) = 50700, r = 0.08, and the equation is:
[tex]A(t) = A(0)(1 + r)^t[/tex]
[tex]A(t) = 50700(1 + 0.08)^t[/tex]
[tex]A(t) = 50700(1.08)^t[/tex]
After 11 years, the cost will be given by:
[tex]A(11) = 50700(1.08)^{11} = 118214[/tex]
More can be learned about exponential functions at https://brainly.com/question/25537936
Which pair of numbers have a greatest common factor of 2? Select each correct answer
10 and 2
6 and 12
2 and 24
4 and 6
Answer:
10 and 2
2 and 24
4 and 6
Step-by-step explanation:
6 and 12 gcf is 6
Answer:
10 and 2, 2 and 24, 4 and 6
Step-by-step explanation:
do the prime factor tree method
10 and 2:
10: 2 x 5
2: 2
gcf/hcf : 2
2 and 24 :
2: 2
24: 2 x 2 x2 x 3
gcf/hcf : 2
4 and 6 :
4: 2 x 2
6: 2x 3
gcf/hcf : 2
why 6 and 12 don't work
6: 2 x 3
12: 2 x 2 x 3
they have 3 in common as well, meaning the hcf/gcf would be 2 x 3 which is 6, not 2
method for solving 5(x-2) -2(x-5)=9 is shown below. Identify the property used to obtain each of the two indicated steps.
Answer:
1) (5x-10)(-2x+-10)=9
2)(3x-0)=9
Step-by-step explanation:
The property used for the expression (5x-10)(-2x+-10)=9 is distributive.
This property states that multiplying the sum of two or more addends by a number produces the same result as multiplying each addend separately by the number and then adding the products together.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the step is 5(x-2) -2(x-5)=9. The step will be solved by the distributive property. By multiplying the two parts with each other and simplifying them.
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The circumference of a circle is 10 pie cm.what is the radius of the circle
Answer:
5
Step-by-step explanation:
Answer:
The radius of the circle is 5
Step-by-step explanation:
what type of number is -√6 A)Rational number B)Irrational number C)whole number D)natural number E) integer number. Reply quickly please
Answer:
irrational number
Step-by-step explanation:
A rectangular prism has a length of 4 inches, a height of 5 inches, and a width of 19 inches. What is its volume
Check the picture below.
The local newspaper has letters to the editor from 60 people. If this number represents 4% of all of the newspaper's readers, how many readers does the newspaper have?
Do 60 divided by 4 to get ur answer
Or you can multiply to get another answer too sense you probably need to get the full 100 percentage.
What is 5X minus Y equals six minus 2X plus Y equals eight
Answer:
x = 8/3, y = 22/3
Step-by-step explanation:
5x-y=6-2x+y=8
5x-y=8 --- 1
6-2x+y=8 --- 2
by solving 1 and 2, x = 8/3, y = 22/3
The functions r and s are defined as follows. r(x)=-x-5 s(x)= -2x-5 . Find the value of s(r(4)).
Answer:
s(r(4)) = 13
Step-by-step explanation:
Substitute and calculate:
s(r(4)) = 13