Answers
Answer:
side-side-side
Step-by-step explanation:
If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.
The similarity statement for the pair of triangles is triangle XYZ similar triangle ENW by AA similarity criterionand mathematically represented as: [tex]\Delta XYZ \, \sim \, \Delta ENW\\[/tex]
Given: In the figure, the angle YXZ is equal to angle NEW and the angle XZY is equal to angle ENW are marked in the corresponding triangles.
To prove triangle XYZ similar triangle ENW by following steps:
Step 1: Consider the triangle XYZ and triangle ENW.
Compare the angle in both the triangles.
[tex]\Delta XYZ \, and\, \Delta ENW\\[/tex][tex]\angle YXZ = \angle NEW\\[/tex][tex]\angle XZY = \angle NWE[/tex]Step 2: Applying the AA similarity criterion:
The Angle-Angle AA similarity criterion states if two angles of one triangle is equal to the corresponding triangle, then two triangles are similar,
This implies triangle XYZ and triangle ENW by AA similarity criterion.
Therefore, the triangle XYZ and triangle ENW by AA similarity criterion. That is [tex]\Delta XYZ \, \sim \, \Delta ENW\\[/tex]
Learn more about AA similarity criterion here:
https://brainly.com/question/34160175
#SPJ6
Related Questions
Find the volume of the prism.
Answers
9514 1404 393
Answer:
420 mm³
Step-by-step explanation:
The volume is given by the formula ...
V = Bh
where B is the area of the triangular base, and h is the height.
The triangular base area is given by the formula ...
A = 1/2bh
A = 1/2(10.5 mm)(10 mm) = 52.5 mm²
Then the volume of the prism is ...
V = (52.5 mm²)(8 mm) = 420 mm³
Complete the equation of this circle:
А
(x – [? ])2+(y - [ ])2= [ ]
Answers
Answer:
[tex]r = \sqrt{ {2}^{2} + {2}^{2} - 3 } = 5 \\ {(x - 2)}^{2} + {(y - 2)}^{2} = 3[/tex]
The Grade 8 students had a graduation dinner. They paid a flat rate of $125 for the use of the hall, plus $13 for each student who attended. The total cost for the dinner was $944.
How many students attended the dinner?
a) Write an equation you could use to solve the problem.
b) Solve the equation.
Verify the solution.
CAN SOMEONE GIVE ME THE ANSWERS AND EXPLANATION FOR THIS QUESTION IN SIMPLE FORM PLEASEEEEEEEEE I CANT FAIL
Answers
Answer:
65
Step-by-step explanation:
in rectangle ABCD above,
1. How many opposite sides are equal?
2. Name the parallel opposite sides.
3. Name the opposite angles that are equal.
4. How many right angles can you identify?
5. Identify the equal opposite sides.
6. How many triangles can you identify?
7. Line AB and CD are adjacent to each other.
true or false?
8. the dotted lines AC andBD are called what?
Answers
Answer and Step-by-step explanation:
1. 2 pairs (aka 4 sides) of Opposite Sides are equal
2. AB and DC are parallel, and AD and BC are parallel
3. Angles BDC and ACD are equal, angles DAC and DBC are equal, the angles ADB and BCD are equal, angles CAB and DBA are equal
4. 4 right angles
5. AB and DC are equal, and AD and BC are equal
6. 4 Triangles
7. False
8. Diagonals of a rectangle.
#teamtrees #PAW (Plant And Water)
What is the expression in radical form?
(20) 5/2
Enter your answer, in simplest form, in the box.
Answers
What is the value of k in the linear pair below?
A straight line. A line comes out of the line to form angles 104 degrees and k.
A. 14 degrees
B. 76 degrees
C. 104 degrees
D. 180 degrees
Answers
1. Find the value of x.
X+ 15.92 = 21.378
Answers
Answer:
x= 5.458
Step-by-step explanation:
x+15.92 = 21.378
- 15.92 - 15.92
x = 5.458
Helpful hint: You just have to use inverse opperation to solve these problems
So, basically the opposite of what it is.
I need help with this pls help and write the Correct answer
Answers
What’s the area of the rectangle
Answers
Answer:
66
Step-by-step explanation:
You multiply the length and the width. 11 times 6 equals 66
What is an equation that represents the line that passes through the points (1, 1) and (-2, 7)?
Answers
Not sure if this is correct but I hope this helps :)
Find the value of x. Round your answer to the nearest tenth.
Answers
Answer:
35 is the value of x
List the smallest three values in the set below. {x | x ∈ E and x < 30}
Answers
Answer:
Step-by-step explanation:
Notation
We need some notation to make talking about sets easier. Consider,
A
=
{
1
,
2
,
3
}
.
Can someone answer this please
Answers
Answer:
good luck man
Step-by-step explanation:
you will get answers after some time
in Lindsay's class, there were three students who scored 90 on a test and six students who scored 40 on a test. what is the mean of the scores in the class?
Answers
Answer:
((90*3)+(40*6))/9
=(90+90+90+40+40+40+40+40+40)/9
=66.66
Step-by-step explanation:
A, higher than her sisters score
A rectangle is 1 1/2 length and 4 1/4 width what is the area of rectangle
The numbers are a whole and a fraction that’s why there is a space
Answers
Answer:
6 3/8 units
Step-by-step explanation:
1 1/2* 4 1/4= 6 3/8
The nth term of a sequence is 5n.
Work out the 10th term of this sequence.
Answers
Answer:
The 10th term is 50
Step-by-step explanation:
5(10) = 50
Help please ASAP ASAP
Answers
Answer:
9
Step-by-step explanation:
At the y axis the number is 4
At the x axis the number is -5
So 4-(-5)=9
II ZPQR measures 75', what is the measure of SQR?
22
0 45°
0 539
097
Answers
Answer:
53degrees
Step-by-step explanation:
Find the diagram attached
<PQR = 75degrees
From the diagram'
<SQR + <PQS = <PQR
<SQR + 22 = 75
<SQR = 75-22
<SQR= 53degrees
Hence the measure of <SQR is 53degrees
help please. really need answers to understand
Answers
Answer:
hmmmm.... each question here is relatively straight forward, the issue is that these questions basically represent an entire unit (possible two) of an Algebra II class... I can provide answers, but the explanation (if you don't know the basic ideas might be elusive, But I will try to help)
Step-by-step explanation:
1) A = P (1+ r/n) ^ nt
interest equation ... monthly compounding so n = 12 thus r gets divided by 12 and t get multiplied by 12
A = 10,000(1 + .04/12)^(3*12)
A = 10000(1.00333)^36
A = $11,272.71
========================
2) [tex]A = pe^{rt}[/tex]
A = 15,000 [tex]e^{.06 t}[/tex]
18,000= 15,000 [tex]e^{.06 t}[/tex]
1.2= [tex]e^{.6 t}[/tex]
ln(1.2) = .06t (ln e)
.1823 / .06 = 3.03 years
Note: ln e = 1
==========================
[tex]3^{5x+1} = 27[/tex]
[tex]3^{5x+1} = 3^{3}[/tex]
thus: 5x+ 1 = 3
5x = 2
x = 2/5
==============================
f(x) = 5x - 12
y = 5x - 12
inverse
x = 5y - 12
5y = x + 12
y = 1/5 x + 12/5
=====================
fog(X) =
f(X) =6x+12
g(x) = x^2 + 3
fog(X) = 6(x^2 + 3)+12
= 6x^2 + 18 + 12
= 8x^2 + 30
Domain (- infinity, + infinity)
======================
vertex 3x^2 - 6x + 2
verted = [-b/2a, f(-b/2a)]
a=3 , b=-6 , c = 2
-b/2a = 6/6 = 1
f(-b/2a) = -1
vertex = (1,-1)
=======================
30x - .4x^2
-30/-.8 = 37.5
max rev = 30(37.5) - .4(37.5)^2 = $562.5
Mr. Jackson lengthened the fence along the back of his yard. Before he added 130 feet, the fence was 300 feet long. He divided the fence into 5-foot sections.
How many 5-foot sections does he have now?
A. 86
B. 60
C. 26
D. 430
is it A?
Answers
Answer:
The answer is A, 86 sections.
Step-by-step explanation:
Step one : Add the 130 feet on to the 300 feet to find the new length of the fence.
130 + 300 = 430
Step two : find how many 5 foot sections he has now, divide 430 by 5.
430/5 = 86
Mr. Jackson can divide the new fence into 86 5-foot sections.
The answer is A, 86 sections.
(2x+8)-(x-8) PLS HELP
Answers
Explanation:
(2x+8)-(x-8)
You would first distribute the - into the (x-8)
-1*x= -x -8*-1= 8
(2x+8)+(-x+8)
Now you combine like terms
2x-x=x 8+8=16
16+x or x+16
Please if your able to solve this pls do. I’d really really extremely appreciate it if someone would!
Answers
Answer:
32
Step-by-step explanation:
1-4
Answer:
1331/x =x²/1331
cros multiplying
x³=1331²
x=³√(1331²)
How much space does Lacey’s mom cover in frosting?
Answers
Please just trust me, this took me a long amount of time to solve.
Basically this question is asking for the surface area. Just find the area of each face in the figure. Thats what I did.
Keep in mind that if the figure is composite and difficult like this, I separated it into 2 prism in this case.
I REALLY HOPE THIS HELPS
PLEASE SAY IF MY ANSWER IS CORRECT
-SpaceMarsh
Jonah runs 3/6 mile on sunday and 7/10 mile on monday. he uses the model to find that he ran a total of 1 mile. What mistake does Jonah make?
Answers
Jonah should shade 6 parts of 10 equal parts to show 3/5.
Hope this helps! :)
what is congruent angle?
Answers
Answer:
Congruent angles have the same angle measure. For example, a regular pentagon has five sides and five angles, and each angle is 108 degrees. Regardless of the size or scale of a regular polygon, the angles will always be congruent.
Answer:
Congruent angles have the same angle measure. For example, a regular pentagon has five sides and five angles, and each angle is 180 degrees. Regardless of the size or scale of a regular polygon, the angle will always be congruent..
Solve x2 – 8x + 15 < 0.
Select the critical points for the inequality shown.
Answers
Answer:
x> 17/8
Step-by-step explanation:
add the numbers
17-8x<0
move the constant to the right-hand side and change its sign
-8x<-17
Divide both side of the inequality by -8 and flip the inequality sign
x>17/8
If f(x) = 3 x2 + 2 and g(x) = x2 - 9, find (f - g)(x).
Answers
Answer:
2x^2 +11
Step-by-step explanation:
(x) = 3 x^2 + 2
g(x) = x^2 - 9
(f - g)(x) =3 x^2 + 2 - (x^2 - 9)
Distribute the minus sign
= 3x^2 +2 - x^2 +9
Combine like terms
= 2x^2 +11
Find the product of (4z2 + 7z – 8) and (–z + 3).
The product of (4z2 + 7z – 8) and (–z + 3) is –4z3 +
z2 +
z – 24.
Answers
Answer:
-4z^3 + 5z^2 + 29z -24
Step-by-step explanation:
(4z^2 + 7z-8) (-z+3)
would equal -4z^3 + 12z^2 - 7z^2 + 21z + 8z - 24
and simplified to -4z^3 + 5z^2 + 29z -24
Answer:
5
29
Step-by-step explanation:
find the measurement of angle RST
Answers
Answer:
Angle RST is nowhere to be found
Step-by-step explanation:
Help us help you. Please include enough information to answer your question.
What is the slope of the line?
Answers
Answer:
2/3
Step-by-step explanation:
Find two points
(0,-2) and (3,0)
Using the slope formula
m = (y2-y1)/(x2-x1)
= (0- -2)/(3-0)
= (0+2)/(3-0)
= 2/3
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
From the graph, we can see the line passes through the points (3,0) and (0,-2).
The slope of a line, [tex]m[/tex], that passes through points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by [tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let [tex](x_1,y_1)\implies (3,0)[/tex] and [tex](x_2,y_2)\implies (0,-2)[/tex].
The slope of the line that passes through these points is:
[tex]m=\frac{-2-0}{0-3}=\frac{-2}{-3}=\boxed{\frac{2}{3}}[/tex]