Triangle congurent theorem is being applied if two triangles of one triangle are congruent to two angles of another triangle and the triangles are similar.
Angle-Side-Angle (ASA) theorem states that if two triangles are considered congruent, then the two corresponding angles equal to each other will include a corresponding side that is equal to each other.
By applying the Side Angle Side Postulate (SAS), you can also be sure your two triangles are congruent. Here, instead of picking two angles, we pick a side and its corresponding side on two triangles.
The SAS Postulate says that triangles are congruent if any pair of corresponding sides and their included angle are congruent.
Perhaps the easiest of the three postulates, Side Side Side Postulate (SSS) says triangles are congruent if three sides of one triangle are congruent to the corresponding sides of the other triangle.
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Find the median and Interquartile Range:
33, 42, 31, 27, 47, 23, 40, 45, and 43
Median: 40
Interquartile Range: 15
Median Definition: the median value of a range of values.
Interquartile Range Definition: the range of values of a frequency distribution between the first and third quartiles.
x-3=4
x= ______
explain
Answer:
7
Step-by-step explanation:
In order to solve the value of x we need to Seperate it so that it can be alone on one side.
So:
X - 3 = 4
X = 4+3 (when characters go from one side of the "=" to the other, they change the sign that is before them (so if before the "=" it was "-" now it will be "+". Same goes for when we multiply or divide))
X=7
Answer:
X=7 because
-3=3=0,
and 4+3= 7 so x= 7
Step-by-step explanation:
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100 POINTS!!! The table shows the values of a function f (x), What is the average rate of change of f (x) over the interval from x = 5 to x = 9? Show your work.
Answer:
1. (f(x)-f(a))/(x-a) **A(x)=(f(x)-f(a))/(x-a) This average rate of shift attribute is designated by the letter A. *f(x) - f(a) represents the difference in the function f as the input transitions from a to x. x - a represents the change in the input of the function f.
f(5)=-2 f(9)=14 (f(5)-f(9))/(5-9)=(-2-14)/-4=4 (f(5)-f(9))/(5-9)=(-2-14)/-4=4
Over the range of x = 5 to x = 9, the average rate of change is 4.
2. g(x)=2x2+13x+1, f(x)=4x2+6x
(f/g)(x)=(4x2+6x)/(2x2+13x+1) (f/g)(x)=(4x2+6x) (f/g)(x)=(4x2+6x)
f(x): 88/85,155/116,180/151,238/190,304/233,378/280 f(x): 88/85,155/116,180/151,238/190,304/233,378/280 f(x): 88/85,155/116,180/151,238/190,304/233,378/280 f(x): 88/85
3. f(x)=x2-6x+8, g(x)=x-2, g(x)=x-2, f(x)=g (x)
x2-6x+8=x-2, x2-6x-x+8+2=0, x2-7x+10=0, x2-6x-x+8+2=0
x1,2=(7+(72-4*10))/2=(7+3)/2 x1=5, x2=2 x1=5 x2=2
Step-by-step explanation:
cuantos números primos hay entre 30 y 40?
Answer:
Dos numeros primos
Step-by-step explanation:
31 y 37 no son productos de dos números naturales más pequeños. Los otros numeros entre 30 y 40 son compuestos.
Round your answer to the tenths place if necessary
Help me please! :(
Answer:
∠ B = 80.5°
Step-by-step explanation:
Since AB = AC then the triangle is isosceles with base angles congruent, so
∠ B = ∠ C , then
∠ B = [tex]\frac{180-19}{2}[/tex] = [tex]\frac{161}{2}[/tex] = 80.5°
What is the area of the figure?
A figure consists of a right triangle and 2 rectangles. The right triangle has legs 3 and 4 centimeters long and hypotemuse 5 centimeters long. One rectangle is 3 centimeters long and 4 centimeters wide. The other rectangle is 1.5 centimeters long and 4 centimeters wide.
A. 12 cm2
B. 24 cm2
C. 28 cm2
D. 42 cm2
Answer:it’s c
Step-by-step explanation:
If z=2
3 (x-12) and x=39, then what is z?
Answer:
621
Step-by-step explanation:
23(39-12) > 23(27)
23(27)= 621
HELP I NEED HELP ASAP
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HELP I NEED HELP ASAP HELP I NEED HELP ASAP
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9514 1404 393
Answer:
B. rectangle, not a square
Step-by-step explanation:
When you plot the points, you see the lines between them have a rise/run of 3/2 or -2/3. The product of these numbers is -1, so the sides of the figure are perpendicular (not a rhombus, not a trapezoid). The figure is not square, so is ...
rectangle that is not a square
(I will give brainiest) Chelsea has just started her own flower business appropriately named Flowers by C.
She knows that she needs to order carnations and roses for her grand opening in order to make
bouquets and vases to sell. She can order a maximum of 300 carnations and 250 roses. The following inequalities represent the total number of bouquets and vases she can make given the
orders she places. Let x represent the number of bouquets and y represent the number of vases.
If she wants to make 18 vases, what is the maximum number of bouquets she can make?
Answer:
x < -3/5y+ 30
Step-by-step explanation:
x < -3/5y+ 30 for the first one
addboth sides by 6y then divideboth sides by 10
A circular plate has a diameter of 9 inches. What is the area of the plate? Explain the steps you follow to get to your answer
Answer:
The area of the circular plate is: " 63.59 in² " .
______________________________________________________
Note:
______________________________________________
diameter, "d" = 9 in. (given).
radius, "r" = "d/ 2 " = "(9 inches) / 2 " = 4.5 in.
______________________________________________
Area of a circle, "A" :
A = * r² ;
in which: "A = Area of circle ("plate"); in units of "square inches"; or "in² " ;
" = 3.14 " {approximation we shall use} ;
"r = radius = 4.5 in." ;
________________________________________________________
Plug in our known values to solve for the area, "A" :
A = (3.14) * (4.5 in)² ;
A = (3.14) * (4.5)² * (in²) ;
A = (3.14) * (4.5) * (4.5) * (in²) ;
A = 63.585 in² ; round to: " 63.59 in² " .
_____________________________________________
Step-by-step explanation:
2 x 5/6
Help me please
Answer: 1.66666666667
4. Figure RST has been rotated 90 degrees clockwise to form figure OPQ.
Which of the following statements is true?
AD
O
T
is a
O meRem20
RS - PQ
O
STOP
m2S = m_P
Answer:
D
Step-by-step explanation:
i did this
The true statement is (d) m<S = m<P
How to determine the true statement?When a figure is rotated, the side lengths and the angle measures of the figure remain unchanged.
This means that:
The figure RST is congruent to the figure OPQ.
The choice of option that supports the above highlight is
m<S = m<P
Hence, the true statement is (d) m<S = m<P
Read more about rotation at:
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An equilateral triangle is
Always/sometimes/never
similar to a scalene triangle, because we can
sometimes/always/never
map one onto the other using only dilations and rigid
transformations?
Answer:
sometimes similar to a scelene triangle because we can never
Country bank pays a simple interest rate of 4% per year. A student plans to invest 5000. How much money will the student have at the end of 6 years
Answer:
$6200
Step-by-step explanation:
Given data
Rate= 4%
Principal=$5000
Time = 6 years
The simple interest formula is
A=P(1+rt)
substitute
A=5000(1+0.04*6)
A= 5000(1+0.24)
A=5000*1.24
A=$6200
He determined that the value of 6 in 76,345 is 100 times the value of 6 in 34,675. Part A: Is Lucas right? Part B: Explain why Lucas is right or wrong.
Answer:
Lucas is not right.
Step-by-step explanation:
To find: whether the value of 6 in 76,345 is equal to 100 times the value of 6 in 34,675
Solution:
Value of 6 in 76,345 = 6,000
Value of 6 in 34,675 = 600
Now 6000 = 10 × 600
So,
Value of 6 in 76,345 is equal to 10 times the value of 6 in 34,675.
Therefore, Lucas is not right.
Answer:
Part A: Lucas is wrong.
Part B: The value of 6 in 76,345 is 6,000 and the value of 6 in 34,675 is 600.
Part C: The value of 6 in 76,345 is equal to 10 times the value of 6 in 34,675.
10 × 600 = 6,000
Step-by-step explanation:
I put this on each of my answers and I got all three parts correct. Hope this helps you!!!!
Please mark my answer as the Brainiest!!!!!
Thank You!!!!!!!!
Kayley read 12 and 1/4 pages in 1/3 hour
Help me find the value of W
Answer:
what grade is this?
Step-by-step explanation:
Joseph is a college student at The University of Texas. He made good grades in high school and received a scholarship that pays for his school, housing and books. Joseph does not have a car, but still needs to pay for his own meals. He calculates that he needs to make at least $450 per month. He has a job working at the bookstore and gets paid $15 per hour. What is the minimum number of hours that Joseph must work per week to make $450 per month?
A. 40 hours
B. 7.5 hours
C. 22.5 hours
D. 11 hours
Answer:
Step-by-step explanation: cap
Answer: 7.5
Step-by-step explanation:
I don't have the energy to explain but trust me in this guys you're welcome I did a lot of math but 7.5 is the answer /srs
7(x+5) plese No links
Answer:
[tex]7x+ 35[/tex]
Step-by-step explanation:
Multiply every thing in the brackets by 7:
[tex]7*x=7x[/tex]
[tex]7*5 = 35[/tex]
help please, special right triangles, find the value of each variable
PLZZZ ANSWER HURRY 25 POINTS
Answer:
3
Step-by-step explanation:
If a parabola opens downward, the highest point on the graph is called the ____ of the parabola.
Answer:
vertex
Step-by-step explanation:
HELPPPP!!!! PLZ HURRY AND SHOW UR WORK!!!!
TRAP ~ EZYD. Use the diagram on the right to find the scale factor of TRAP to EZYD.
The scale factor of TRAP to EZYD is __.
A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting
parabola is (-4,-6). What is the vertex of the function defined as
g(x) = f(x) + 3?
Answer:
(- 4, - 3 )
Step-by-step explanation:
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
For
g(x) = f(x) + 3
This is the graph of f(x) shifted 3 units up
Given the vertex of f(x) = (- 4, - 6 ), then
vertex of g(x) = (- 4, - 6 + 3) = (- 4, - 3 )
An art teacher is making packages of paintbrushes and plant for his students.
He has 24 brushes and 40 tubes of paint. Each package will have the same number
of brushes and the same number of tubes of paint.
a. What is the greatest number of packages that the art teacher can make using
all the paintbrushes and paint? Show your work.
Answer:
yall help out alot
Step-by-step explanation:
Laurie needs at least 40 pounds of topsoil for a new flower bed. Each bag of topsoil is 200 ounces. Laurie determines that if she buys 3 bags of topsoil she will have enough for the flower bed. Is Laurie correct? Why or why not?
Answer:
No she will not have enough topsoil for the flower bed.And she is not correct.Because every pound is 16 ounces.so 600 ounces is only 37.5 pounds
Step-by-step explanation:
3×200=600600÷16=37.5Hope this helps :)
is the value of
is 14?
Answer: So in the number 14, there is one ten and four ones—10 + 4 = 14. If we change that 1 to a 2, we get 24, or twenty-four. The number 2 in the tens place tells us there are two tens. Each place value is 10 times larger than the place value to the right of it.
Step-by-step explanation:
Russel has a collection of 1,200 pennies. Of these pennies, 25% are dated before 1980, 35% are dated from 1980 to 2000, and the rest are dated after 2000. How many pennies in Russell's collection are dated after 2000?
A. 480
B. 720
C. 40
D. 60
Answer:
D. 60
Step-by-step explanation:
Add the percentages of 25% and 35% and you'll get 60.
Answer:
A 480
Step-by-step explanation:
in 2000=480 i don't know how to farther explain it to you.hope that helps.
dar el perímetro de un círculo con diámetro de 8.
dar el area de un círculo dado el radio de 12
Can someone explain this lol thanks Find the volume of the rectangular
prism.
4
3
9
[?] units