Answer:
(1) ΔMAN ≅ ΔBOY
(2) ΔMAT ≅ ΔRUG
(3) ΔEBN ≅ ΔUHR
(4) ΔTOP ≅ ΔLID
(5) ΔCAT ≅ ΔDOG
(6) ΔITP ≅ ΔLOH
Step-by-step explanation:
The following combinations of the congruent triangle facts will be sufficient to prove triangles congruent.
The combinations are:
(1) SSS (side-side-side) : If three sides of a triangle are congruent to three sides of another triangle then the triangles are congruent.
(2) SAS (side-angle-side) : If two sides and included angle of a triangle are congruent to another triangle then the triangles are congruent.
(3) ASA (angle-side-angle) : If two angles and included side of a triangle are congruent to another triangle then the triangles are congruent.
(4) RHS (right angle-hypotenuse-side) : If the hypotenuse and leg of one right triangle are congruent to the corresponding parts of another right triangle, the right triangles are congruent.
Part (1):
As we are given two triangles.
Side AM = Side OB
Side MN = Side BY
Side AN = Side OY
That means,
ΔMAN ≅ ΔBOY
Part (2):
As we are given two triangles.
Side MA = Side RU
Side MT = Side RG
Side AT = Side UG
That means,
ΔMAT ≅ ΔRUG
Part (3):
As we are given two triangles.
Side EB = Side UH
Side BN = Side HR
Side NE = Side RU
That means,
ΔEBN ≅ ΔUHR
Part (4):
As we are given two triangles.
Side OT = Side IL
Side OP = Side ID
Side PT = Side DL
That means,
ΔTOP ≅ ΔLID
Part (5):
As we are given two triangles.
Side AC = Side OD
Side AT = Side OG
Side TC = Side GD
That means,
ΔCAT ≅ ΔDOG
Part (6):
As we are given two triangles.
Side TP = Side OH
Side IT = Side LO
Side IP = Side LH
That means,
ΔITP ≅ ΔLOH
Answer:
hehe boi
Step-by-step explanation:
please help quick pleaseeee
Answer:
17
Step-by-step explanation:
Answer:
bru
Step-by-step explanation:
Please help asap!!! Will give brainleist for the right answer
Answer:
I think the answer is 1,032 pounds
Step-by-step explanation:
You would have to multiply the dimensions of the table first:
8*3*1=24.
Then you would multiply that by 43.
24*43=1,032.
I THINK this is the answer.
How does a pedometer help people reach their fitness goals?
A.
It measures calories burned throughout the day
B.
It usually doubles as an MP3 player and keeps people motivated.
C.
They help people reach their goals by counting the number of steps taken.
D.
They measure the number of lifts done during each exercise performed.
Answer:
C
Step-by-step explanation:
pedometers are devices that count the steps you take throughout the day. Seeing your daily step count can give you an idea of how active you are in a given day and give motivating feedback to help you achieve a daily step goal.
Answer:c i just took the test
Step-by-step explanation:
37% of what number is 72?
Answer:
26.64
Step-by-step explanation:
37% of x = 72
0.37x = 72
isolate x
x = 72*0.37
x = 26.64
solve 3x²-2x-5=0 by factorization method
Answer:
Step-by-step explanation:
3x^2 -2x -5=0
3x^2 -(5-3)x -5=0
3x^2 -5x +3x -5=0
x(3x -5)+1(3x -5)=0
(x+1)(3x-5)=0
either (x+1)=0 OR, (3x-5)=0
x+1=0
x=0-1
x=-1
3x-5=0
3x=0+5
x=5/3
x=-1, 5/3
school uniform cost $25 plus a one time $5 fee if you get your initials embroidered on the collar . how much did bryce pay if he ordered 4 embroidered uniforms?
Suppose that it is reported in the news that 12% of the people living and working in Kokomo feel that their commute is too long. What is the travel time to work that separates the top 12% of people with the longest travel times and the lower 88%
Answer:
22.3 minutes
Step-by-step explanation:
The computation of the travel time is as follows:
Given that
[tex]\mu[/tex] = 17
And, the standard deviation is 4.5
P(X≤C) = 0.88
P( x - [tex]\mu[/tex]) ÷ [tex]\sigma[/tex] ≤ (C - [tex]\mu[/tex]) ÷ [tex]\sigma[/tex] = 0.88
(C - [tex]\mu[/tex]) ÷ [tex]\sigma[/tex] = 1.175
c = [tex]\mu[/tex] + 1.175 × [tex]\sigma[/tex]
= 17 + 1.175 × 4.5
= 22.3 minutes
Hence, the travel time is 22.3 minutes
i need help! plz (listing BRAINLIST and giving points) :D
Answer:
4
Step-by-step explanation:
these are two similar triangles, so to solve for x, we create two similar ratios!
x/2 = 7/3.5
cross multiply.
14=3.5x
divide 14 by 3.5
x=4
Which function has a greater Y intercept
If each 2 cm on the scale drawing below equals 9 feet, what is the actual area of the shape in square units?
Answer: 18 cm
Step-by-step explanation: 9 feet x 2
Three sets have 5, 10, 15 elements, respectively. How many elements can their union and intersection have?
Answer:
[tex]Union = 15[/tex]
Step-by-step explanation:
Given
[tex]n(A) = 5; n(B) = 10; n(C) = 15[/tex]
Solving (a): Possible union elements
This is the represented by element with the largest number of the sets
i.e.
[tex]Union = 15[/tex]
Solving (b): Possible intersection elements
This is the represented by element with the least number of the sets
i.e.
[tex]Intersection = 5[/tex]
A parabola is the set of all points that...
Answer:
is equidistant from a focus point and a line
Answer:
what
Step-by-step explanation:
pa brainliest tol please
The perimeter of triangle ABC is 56 cmThe length of AB is С 4x - 4 degrees; 2x + 6 degrees; 70 degrees B A A 16 B of these 18 cm D 5 E 20 cm
Answer:
Step-by-step explanation:
What is the production matrix?
Answer:
[tex]\left[\begin{array}{ccc}3\\3.8\end{array}\right][/tex]
Step-by-step explanation:
Here we want to compute the product of two matrices, one 2x2, and other 2x1.
[tex]\left[\begin{array}{ccc}0.3&0.3\\0.35&0.4\end{array}\right]*\left[\begin{array}{ccc}4\\6\end{array}\right][/tex]
Remember that in the product, we multiply the rows of the first one by the columns of the second one, then the product is just:
[tex]\left[\begin{array}{ccc}0.3&0.3\\0.35&0.4\end{array}\right]*\left[\begin{array}{ccc}4\\6\end{array}\right] = \left[\begin{array}{ccc}0.3*4 + 0.3*6\\0.35*4 + 0.4*6\end{array}\right] = \left[\begin{array}{ccc}3\\3.8\end{array}\right][/tex]
Solve for x in the equation x squared + 14 x + 17 = negative 96.
6x+2y=
6x+2y=
\,\,16
16
2x-2y=
2x−2y=
\,\,32
32
Answer:
x = 6, y = -8
Step-by-step explanation:
First we take the equations side by side and put them like this:
6x + 2y = 16
+ 2x - 2y = 32
8x = 48
Then solve for x.
x = 6
Then insert x back into either equation
2(5) - 2y = 32
10 - 2y = 32
solve for y,
y = -10
look at pic 10 pts will mark brainilest AND WILL HELP OUT W A QUESTION shsu
Answer:
B
Step-by-step explanation:
Find the area of a regular
polygon with 5 sides that has a
side length of 6 inches and an
apothem of 9 inches.
Answer:
area of polygon : 120in²
4. What is the product of (3x - 1)(x + 4)?
HELP PLEASE RIGHT NOT SHOW YOURE WORK!!!!!
[tex]3 {x}^{2} + 11x - 4[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex](3x - 1)(x + 4) \\ \\ = 3x(x + 4) - 1(x + 4) \\ \\ = 3 {x}^{2} + 12x - x - 4 \\ \\ = 3 {x}^{2} + 11x - 4[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
Find the 8th term of the geometric sequence 7, 28. 112, ... HELP PLSSSS
Can y’all help me?! :)
Option C.88ft².
Answer:
Solution given:
side 1=19ft
side 2=25ft
height=4ft
now
area =½height (side 1+side 2)
=½*4*(19+25)=88ft²
Answer:
The area of trapezoid is 88 ft ² .
Step-by-step explanation:
The, area of trapezoid is given by
= 1 / 2 ( Base ¹ + Base ² ) × Height
Where,
Base ¹ and Base ² are the length of parrallel side and Height is the perpendicular distance between them.
1 / 2 ( Base ¹ + Base ² ) × Height
Where, given that
Base ¹ = 19 ftBase ² = 25 ft Height = 4 ftSubstitute the values
Area = 1 / 2 × ( 19 ft + 25 ft ) × 4 ft
add the both parallel sides of trapezoid
Area = 1 / 2 × 44 ft × 4 ft
multiply the values , we get
Area = 176 ft ²/ 2
Divide and we get
Area of trapezoid = 88 ft ²
Therefore, the area of trapezoid is 88 ft ².
What is the solution of the system of equations graphed below?
Answer: B
Step-by-step explanation: Look at where the lines intersect
Write the equation of a line that meets all the following requirements:
Has an x-intercept at (5,0)
Has a negative slope
Write the equation in Standard Form
Write the equation is Slope-Intercept Form
Explain
How you know your line has an x-intercept of (5,0)
How you know your line has a negative slope
How you converted from one form to the other
9514 1404 393
Answer:
x + y = 5y = -x + 5Step-by-step explanation:
We can start with the point-slope form of the equation for a line. To meet the given requirements, we can use a point of (5, 0) and a slope of -1. Then the equation in that form is ...
y -0 = -1(x -5)
Simplifying gives the slope-intercept form:
y = -x +5 . . . . . . . use the distributive property to eliminate parentheses
Adding x to both sides gives the standard form:
x + y = 5
__
Explanation
We know the line has the required intercept and slope because we chose those values to put into the point-slope form. Conversion from one form to another made use of the rules of equality, the additive identity element (y-0=y), and the distributive property.
PLEASE ANSWER!! Find EF using Pythagorean theorem. Express answer to one decimal place.
Answer:
115.5 cm
Step-by-step explanation:
A^2 + B^2 = C^2
41^2 + 108^2 = C^2
C^2 = 13345
C = 115.5 cm
Which explicit formula is equivalent to a1 = 1, an=
4an-1?
A. an = 1(4)^n-1
B. an = 4(4)^n-1
C. an = 4(1)^n–1
D. an = 1 + (n - 1)4
Answer:
A. an = 1(4)^n-1
Step-by-step explanation:
Geometric sequence:
In a geometric sequence, the quotient between consecutive terms is always the same, called common ratio, and the sequence is given by:
[tex]a_n = a_1(q)^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term and q is the common ratio.
We are given the following sequence:
[tex]a_1 = 1[/tex]
[tex]a_n = 4a_{n-1}[/tex]
So
[tex]a_2 = 4a_1 = 4[/tex]
[tex]a_3 = 4a_2 = 16[/tex]
[tex]a_4 = 4a_3 = 64[/tex]
That is, the quotient between consecutive terms is 4, so [tex]q = 4[/tex].
The first term is already given, [tex]a_1 = 1[/tex]. So
[tex]a_n = a_1(q)^{n-1}[/tex]
[tex]a_n = 1(4)^{n-1}[/tex]
And thus, the correct answer is given by option A.
y=10x/3+19 find the y-intercept
Answer:
(0, 19)
Step-by-step explanation:
In slope-intercept form, the constant at the end of the equation is the value of the y-intercept.
You can also solve for the y-intercept by letting x = 0. This is because, at the point where the line crosses the y-axis, x will be 0.
y = 10(0)/3 + 19
y = 0 + 19
y = 19
Therefore, the y-intercept is (0, 19).
The y-intercept is (0, 19).
What is the y-intercept?The y-intercept is the point where the graph intersects the y-axis.
Given is an equation of a line, y = 10x/3+19
To solve for the y-intercept,
Put x = 0. This is because, at the point where the line crosses the y-axis, x will be 0.
y = 10(0)/3 + 19
y = 0 + 19
y = 19
Therefore, the y-intercept is (0, 19).
For more references on y-intercept, click;
https://brainly.com/question/14180189
#SPJ2
What is the greatest common
factor of the expression?
2x^2y^3+4x^2y^5
Answer:
[tex]2x^2y^3[/tex]
Step-by-step explanation:
The given expression is :
[tex]2x^2y^3+4x^2y^5[/tex]
We need to find the greatest common factor of the expression.
The first term is [tex]2x^2y^3[/tex]
The other term is [tex]4x^2y^5[/tex]
[tex]2x^2y^3[/tex] is common in both terms. So,
[tex]2x^2y^3(1+2y^2)[/tex]
Hence, the greatest common factor of the expression is equal to [tex]2x^2y^3[/tex].
The box plots below show the math scores of students of two different classes, which statement is correct
Answer:
B
Step-by-step explanation:
Given the data:
Class A 55 72 75 89 95
Class B 55 70 75 94 100
CLASS A :
Minimum - 55
Lower quartile - 72
Median - 75
Upper quartile - 89
Maximum - 95
CLASS B :
Minimum - 55
Lower quartile - 70
Median - 75
Upper quartile - 94
Maximum - 100
Evaluating the statements given :
The median score of Class A is greater than the median score of Class B.
Median A = 75 ; Median B = 75 (median are equal), hence, A is not true
The lower quartile of Class A is greater than the lower quartile of Class B.
Lower quartile A = 72 ; Lower quartile B = 70 (A is greater than B) , hence, B is true
The upper quartile of Class A is greater than the upper quartile of Class B.
Upper quartile A = 89 ; Upper quartile B = 94 (A is less than B) , hence, statement is not true
The maximum score of Class A is greater than the maximum score of Class B.
Maximum A = 94 ; maximum B = 100 ; A < B ; Hence, statement is not true
Find the value of x . PLEASE ANSWER QUICK ILL MARK BRAINLIEST
Answer:
x = 3
Step-by-step explanation:
both angles together equal 180
Set your formula as
180 = 5x + 165
180 - 165 = 5x
15 = 5x
15/5 = x
3 = x
Answer:
[tex]x[/tex] = 3
Step-by-step explanation:
180° - 165° = 15°
[tex]5x[/tex] = 15
[tex]x[/tex] = 3
Becoming a member at fitness club costs $50 plus a monthly fee of $25. Using the graph, estimate how many months a person has been a member if he has paid a total of $250.
Answer:
0.3
Step-by-step explanation: