3&4. using the diagrams, is there enough information given to prove that the triangles are congruent? if so, state the theorem you would use
5&6. name the third congruence statement that is needed to prove that ABC is congruent to XYZ using the given theorem
Answers
Answer:
3. There is enough information to prove that ΔABC and ΔDEF are congruent using the Angle-Side-Angle (ASA) congruency theorem
4. More information is required to prove that ΔGFH and ΔJKL are congruent
5. ∠B ≅ ∠Y
6. ∠A ≅ ∠X
Step-by-step explanation:
3. In triangle ΔABC, and triangle ΔDEF, we have;
Corresponding angles ∠A and ∠D are congruent
Corresponding angles ∠C and ∠F are congruent
Corresponding side in between the given angles [tex]\overline{AC}[/tex] and [tex]\overline{DF}[/tex] are congruent
Therefore ΔABC is congruent to ΔDEF by the Angle-Side-Angle (ASA) rule of congruency
4. The corresponding angles ∠F and ∠J in triangle ΔGFH and triangle ΔJKL are congruent as well as the corresponding adjacent sides to the given angles and the corresponding opposite sides to the given angles are congruent, however, there is not enough information to prove that the two triangles are congruent
The included angles, ∠H and ∠L between the sides congruent corresponding sides should be congruent or the other adjacent sides [tex]\overline{FG}[/tex] and [tex]\overline{JK}[/tex] to the congruent angles ∠F and ∠J should be congruent for the triangles ΔGFH and ΔJKL to be congruent
5. Given [tex]\overline{AC}[/tex] ≅ [tex]\overline{XZ}[/tex], ∠C ≅ ∠Z, using the Angle-Angle-Side, AAS, rule of congruency, we have;
The angles adjacent to ∠C and ∠Z, and opposite to [tex]\overline{AC}[/tex] and [tex]\overline{XZ}[/tex], which are B and ∠Y are congruent
Therefore, we have;
∠B ≅ ∠Y using AAS rule of congruency
6. Using Angle-Side-Angle, ASA, rule, given;
[tex]\overline{AC}[/tex] ≅ [tex]\overline{XZ}[/tex], ∠C ≅ ∠Z, then the angles on the other side of [tex]\overline{AC}[/tex] and [tex]\overline{XZ}[/tex] which are ∠A and ∠X should be congruent, we have;
∠A ≅ ∠X
Related Questions
Cole buys a new laptop for $335. He makes a down payment of $50 and pays the rest in 6 equal monthly payments, p. What equation represents the relationship between the cost of the laptop and Cole’s payments?
Answers
graph the equation...
0.5s+4a=15
Answers
Answer: look at the picture if you want me to solve for s or a here
Step-by-step explanation: hope this help
Juana baked 150 cookies for the bake sale and ate 10% of them. How many cookies did
Juana eat?
Answers
Answer:
15
Step-by-step explanation:
[tex]\frac{150x10}{100}[/tex]=[tex]\frac{1500}{100}[/tex]=15
Solve for x.
Please help !
Answers
Answer:
x = 37 1/2x = 2Step-by-step explanation:
Parallel lines divide transversals proportionally. I like to write the proportions so the variable is in the numerator. Then the solution is obtained by multiplying by the denominator of the variable term.
1. x/20 = (46 -16)/16
x = 20(30/16)
x = 37.5
__
2. (x +4)/13.5 = 4/9
x +4 = 13.5(4/9) = 6
x = 6 -4
x = 2
What is the slope of the line?
Answers
Answer:
2
Step-by-step explanation:
from (0,1) to (1,3)
is up 2 over 1
2/1=2
hope this helps!
What is the surface area for this design?
Answers
Answer:
Surface Area = 157 in^2
Step-by-step explanation:
Surface area is the area of each side added together.
Front = Trapezoid = b1 + b2 * h 5 + 9 * 5 = 27.5
2 2
Back = Trapezoid = b1 + b2 * h 5 + 9 * 5 = 27.5 27.5
2 2 27.5
Right = Rectangle = l * w 6.4 * 5 = 32 32
Left = Rectangle = l * w 5 * 5 = 25 25
Bottom = Rectangle = l * w 9 * 5 = 45 45
Top = Rectangle = l * w 5 * 5 = 25 25
157 in^2
Find the equation of the line through point (−3,8) and perpendicular to y=27x+117.
Answers
Answer:
y - 8 = (-1/27)(x + 3)
Step-by-step explanation:
the slope of a line perpendicular to the given y = 27x + 117 is the negative reciprocal of 27, that is, -1/27. Using the point-slope form y - k =m(x - h) to write the new equation, we get:
y - 8 = (-1/27)(x + 3)
Write down the next two terms in this number pattern
2, 5, 9, 14, 20,0
Answers
Answer:
+3,+4,+5,+6,-20
Step-by-step explanation:
its:
2+3=5
5+4=9
9+5=14
14+6=20
20- 20=0
i believe so
Prove that
cos 9°+sin 9°/cos9°-sin9° =cot 36°
plzz fasstttt i need to writw this!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
LHS = (Cos9° + Sin9°) / (Cos9° - Sin9°)
Divide by Numerator and Denominator by Cos9°
LHS = (1 + Tan9°) / (1 - Tan9°)
= (Tan 45° + Tan 9°) / (1 - Tan 45° * Tan 9°)
= Tan (45°+9°)
= Tan 54°
= Cot 36°
hope it helps :)
What is the mean temperature for the 10 days?
Answer chooses ::
A.12
B. 26
C. 35
D. 46
Answers
Answer:
46
add all the number together and divide by how many there is
Plz help me get the right answer
Answers
The parks department is planting trees. Maple trees cost $50 and Oak trees cost $25. The tree planting budget is $800. What is the x-intercept in this situation
Answers
Answer:
looooook ittttt uppppppps bwbebee
Step-by-step explanation:
bagsywbwbebne
e
e
e
e
e
e
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ejdjdndndeebbebe
Answer: 50 or 25
Step-by-step explanation:
i apologize if i am wrong
Vinny donates 15 dollars to charity every two weeks. At this rate, how long will it take Vinny to donate 90 dollars?
Answers
Answer:
6
Step-by-step explanation:
Because 90/15 =6
Answer:
It is 12!
Step-by-step explanation:
15 divided by 2
7.5 times 90
12!
I also put it in the Boom Cards and it was correct!
State the slope and the y-intercept in each equation. Then graph each linear equation. Be sure to fill out the entire graph and connect the points! Helpppppppppp
Answers
Answer:
Step-by-step explanation:
Use y = mx + b so:
m = 1/2
b = 3
b= 3
To graph, start at your b (y intercept) and mark that number on the y-axis. Then continue to build your line using your slope. To do that, start at your b and go down 1 and over 2. Continue until the end of the plane. Then, since it is a negative slope, work your way up 1 and over 2. Then connect your points to get your line.
Hope that helps!
Find the missing length of the triangle.
A = 3.4 cm
C = 1.6 cm
B = ?
Answers
Answer: b = 3
Step-by-step explanation:
1. a^2 + b^2 = c^2
2. 1.6^2 + b^2 = 3.4^2
3. 2.56 + b^2 = 11.56
4. 11.56-2.56 = b^2
5. 9 = b^2
6. 3 = b
5 divided by 6.25 please
Answers
Answer:
0.8
Step-by-step explanation:
5 ÷ 6.25 = 0.8
You can do this on a calculator.
Please help will give Brain to right person
Answers
Write an equation of the line that passes through (−4,−5) and is parallel to the line y=−4x−1.
Equation: y=
Answers
Answer:
step 1. y - y1 = m(x - x1). This is the standard line equation given a point and a slope.
step 2. parallel lines have the same slope so the slope is -4.
step 3. y - (-5) = -4(x - (-4)).
step 4. y + 5 = -4x - 16.
step 5. y = -4x - 21.
please please please please just answer quickly i have short time left
Answers
9514 1404 393
Answer:
(x, y) = (10, 4)
Step-by-step explanation:
Opposite sides are the same length, so ...
ON = LM
6x -3 = 4x +17
2x = 20 . . . . . . . . add 3-4x
x = 10
__
OL = NM
x -5 = 3y -7
10 -5 + 7 = 3y . . . . . substitute x, add 7
12/3 = y = 4 . . . . . . simplify, divide by 3
The values of x and y are 10 and 4, respectively.
Can someone help me please :)
Answers
Answer:
-2 :)
Step-by-step explanation:
Steve is trying to figure out the ages of his 3 uncles.
Uncle Bill is twice as old as Uncle Tom. Uncle Keith is
5 more than Uncle Bill. He knows that the sum of their ages is 75.
What are the ages of his 3 uncles?
Answers
Bill = 28
Keith = 33
Tom = x
Bill = 2x
Keith = 2x+5
5x+5 = 75
5x = 70
x = 14
Tom = x = 14
Bill = 2x = 28
Keith = 2x+5 = 33
Solve using polynomial long division and please show work:
(5x^4 + 21x^3+ 5x^2- 9x - 6)/(5x^2 + 6x + 2)
Answers
9514 1404 393
Answer:
x² +3x -3 +3x/(5x² +6x +2)
Step-by-step explanation:
As with any long division, you formulate a partial quotient, then subtract the product of that and the divisor from the dividend. The result is a new dividend. You're done when the degree of the dividend is less than the degree of the divisor.
The partial quotient term is simply the ratio of the highest-degree terms in the dividend and the divisor. (That is what makes it easier than numerical long division.)
_____
Web page formatting cut off part of the "Hints" in the first attachment. The second attachment shows the full "Hints."
PLEASEEEEE HELPPP!
Subtract and simplify (2y + 34.8m + 3.8) - (14.6m + 15.6 + 2y)
Answers
Answer:
20.2 m − 11.8
Step-by-step explanation:
Answer:
20.2m-11.8
- hope it helps
What is Ac Brainliest
Answers
Answer:
Ac is hypotenuse as c=90
Answer:
6
Step-by-step explanation:
let us call dc x
root(16+x2) =ac
root(25+x2)=bc
using the pytogoren theroum for traingle ABC we get
41+2x2=9 squared
41+2x2=81
2x2=40
x2=20
x=2 root 5
so then plugging the values in
you know ac=root(16+x2)
=root(36)
=6
x cm
8 cm
2x cm
1 cm
The longest side on the shape is 12 cm
Work out the value of x.
Answers
Answer:
The value of x must be 6. Because as it is said that the longest side of this shape is 12 therefore, if 2 is multiplied with 6 one of tge sides is 12, which is the biggest.
Hope it helps!!
Select all that apply.
Which of the following are proportions?
Answers
Answer:
A, C and D
Step-by-step explanation:
both A, C and D are both porportions because they both equal the other fraction.
Answer:
1, 3, 4
Step-by-step explanation:
i had this on my test- im doing it rn.
Theequationforlinefcanbewrittenasy = –3x − 6
. Line
gisparalleltolinefandpassesthrough
(6, –8) . What
istheequationofline
g ?
Write the equation in slope-intercept form. Write the numbers in the equation as proper fractions, improper fractions, or integers.
Answers
Answer:
Step-by-step explanation:
f(x) = -3x-6
slope of line is -3
parallel lines have the same slope
point-slope equation for line of slope -3 that passes through (6,-8):
y+8 = -3(x-6)
put equation into slope-intercept form:
y = -3x + 10
Answer:
[tex]y = - 3x + 10[/tex]
Step-by-step explanation:
We are asked to find a line parallel to line f
[tex] - 3x - 6[/tex]
and passes through 6,-8.
Parallel lines have the same slope so our new line will also has-3 as it slope
wo using the slope intercept form let update our equation so far.
Slope intercept is
[tex]y = mx + b[/tex]
where m is the slope and b is the y intercept
plug in -3 for the slope since our new equation must be parallel.
[tex]y = - 3x + b[/tex]
Now plug 6 for x and -8 for y.
[tex] - 8 = - 3(6) + b[/tex]
[tex] - 8 = - 18 + b[/tex]
[tex]b = 10[/tex]
Our equation is
[tex]y = - 3x + 10[/tex]
A supersized laundry detergent has 60% more detergent than the regular size. The supersized has 144 ounces. How many ounces of the detergent are in the regular size
Answers
Answer:
90 ounce in regular size
Step-by-step explanation:
The number of ounces of the detergent are in the regular size is 90 ounces.
How to find the percentage from the total value?
Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
We need to Write the percent as a fraction in simplest form
16.24%
So, we can rewrite it as;
16.24 / 100
16 and 24/100 or 16 6/25
So the percent as a fraction is 16 6/25
We are given that;
Percentage of detergent=60%
Number of ounces= 144
Now,
To find how many ounces of detergent are in the regular size, we need to use the information that the supersized has 60% more detergent than the regular size. This means that if we let x be the number of ounces in the regular size, then 144 is equal to x plus 60% of x. We can write this as an equation:
144 = x + 0.6x
To solve for x, we need to combine like terms and isolate x on one side of the equation:
144 = 1.6x x = 144/1.6 x = 90
Therefore, by the given percentage the answer will be 90 ounces.
Learn more about percent here:
https://brainly.com/question/11549320
#SPJ2
Select all ordered pairs that correspond to input-output pairs of the function y = −7x + 6.
Answers
Answer:
There are no options, so i will answer in a general way.
In a function:
y = f(x)
The output is y, and the input is x, and the ordered pair is written as (x, y)
In this case, we have the function:
y = -7*x + 6
Then we need to have different inputs and then find the outputs for each.
For example, if x = 1.
y = -7*1 + 6 = -1
Then we have the ordered pair (1, - 1)
if x = 0
y = -7*0 + 6 = 6
then we have the ordered pair (0, 6)
The general ordered pair is written as:
(x, y = -7*x + 6)
or:
(x, -7*x + 6)
Where you only need to replace the value of x.
Solve the following:
4³/(-12+2²)
--------------------------
(2x3)²+(-5x2x3)+2
Answers
Answer:
1. =−8
2. =4x^6−5x^5+2
Step-by-step explanation:
happy to help ya :)