Answer:
HL Postulate
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HL Postulate(Hypotenuse - Leg) or RHS theorem -> If any two right angles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.
AC ≅ DF , BC ≅ EF and ∠B ≅ ∠E ( both 90 0 )
∴ Δ ABC ≅ Δ DEF by RHS theorem
Theorem : Prove RHS theorem or postulate.
Given : AC = DF , BC = EF and ∠B = ∠E = 90 0
Prove that : ΔABC ≅ ΔDEF
Construction : Extend DE to G so that EG = AB. Join GF.
Statements
Reasons
1) AB = GE 1) Construction
2) ∠B = ∠FEG 2) Each 900
3) BC = EF 3) Given
4) ΔABC ≅ ΔGEF 4) By SAS postulate
5) ∠A = ∠G 5) CPCTC
6) AC = GF 6) If the two angles are congruent then angle opposite to them are equal
7) AC = DF 7) Given
8) DF = GF 8) By transitive property
9) ∠D = ∠G 9) Angles opposite to equal sides in ΔDGF are equal
10) ∠A = ∠D 10) From (5) and (9)
11) ∠B = ∠E 11) Given
12)∠A+∠B=∠D+∠E 12) Adding (10) and (11)
13) ∠C = ∠F 13) ∠A + ∠B + ∠C = 180
and ∠D + ∠E + ∠F = 1800
14) ΔABC ≅ ΔDEF 14) By SAS postulate and from (3) (7) and (13)
Step-by-step explanation:
Answer:
Step-by-step explanation:
HL is the the Hypothenuse Leg Postulate that sais that
If the hypotenuse and leg of one triangle are congruent
to the hypotenuse and leg of another triangle
then the triangles are congruent.
(y-4)6
help please....
A submarine dives below the surface, heading downward in four moves. If each move downward was 200 feet, where is the submarine after it is finished diving?
Answer:
800 feet, if you do 200x4 you you would get 800 feet
Step-by-step explanation:
200x4
Which equations represent the phrase “y is two less than half of a number “?
Answer:
C and A
Step-by-step explanation:
4=8b what does b equal
Answer:
4 = 8b >> b = 1/2 or 0.5
Step-by-step explanation:
What is the coefficient of the variable in the expression 6 − 4x − 8 + 2? (3 points)
Group of answer choices
A. 6
B. 2
C. −4
D. −8
Answer:
I thik the answer is B.
Step-by-step explanation:
hope this helps
Answer:
c -4
I did the math
The price of an Item yesterday was $160. Today, the price rose to $248. Find the percent increase.
Answer:
jguifutrdduturdrfuy
Step-by-step explanation:
Please answer will give brainiest! If you don’t know please don’t answer thank you <3
Answer:It takes 250 g of pasta and 240 ml of sauce to make one batch of spaghetti and it takes 600g of pasta and 700ml of sauce to make one batch of lasagna.
Case 1: Pasta
The chef wants to make spaghetti and lasagna using more than 4000 g of pasta.
S denote the number of batches of spaghetti he makes and L the number of batches of lasagna he makes.
So the equation becomes :
Case 2: Sauce
chef wants to make spaghetti and lasagna using more than 5000 ml of sauce.
S denote the number of batches of spaghetti he makes and L the number of batches of lasagna he makes.
So the equation becomes:
Answer :
The two equations are :
For pasta:
For sauce:
Step-by-step explanation:
Zara has forgotten her 4-digit PIN code.
She knows the first digit is a factor of 20 and the 4 digits make a number divisible by 2.
How many different sets of 4 digits could it be?
Step-by-step explanation:
1st digit : 1 / 2 / 4 / 5
4th digit : 0 / 2 / 4 / 6 / 8
Total number of sets = 4 * 10 * 10 * 5 = 2000.
what is measurement
Ans Measurement is the process of comparing and unknown physical quantity with a known or standard one.
A baker has 7 3/4 bags of flour.Each bag of flour will make 60 cakes.How many cakes will the baker be able to make if she uses all these bags of flour.
400 3/4
265
80 1/2
465
The baker would be able to make 465 cakes. Or D.
Because, 7 x 60 = 420. 60 ÷ 4 = 15. 15 x 3 = 45. 420 + 45 = 465.
B right or am i wrong ?
9th grade please help
Answer:
D.) This system has infinitely many solutions
Step-by-step explanation:
y = -4x - 6
-4x - y - 6 = 0
-4x - y - 6 = 0
-y = 4x + 6
-y/-1 = 4x/-1 + 6/-1
y = -4x - 6
There are infinitely many solutions, because both of the lines are exactly the same. As show below ! Hope this helps once again ^w^
Please help me solve these problems! I'll give you all my brain points. IM DESPERATE!!!
:-;
Answer: kg
Step-by-step explanation:
A total of 715 tickets were sold for the school play. They were either adult tickets or student tickets. There were 65 more student tickets sold than adult tickets.
Answer:
There were 423 adult tickets sold.
Step-by-step explanation:
Let x = the number of adult tickets sold
Let x + 65 = the number of student tickets sold
x + x + 65 = 715
2x = 715
x = 357.5
x + 65 = 422.5 (round up)
Answer:
adults=325& students=390
Step-by-step explanation:
let me the tickets for adults be x
for students will be x+65
x+x+65=715
2x+65=715
2x=715-65
2x=650
x=650÷2
x=325
Refer to the circles to complete the following item.
Does AI = LD?
yes
no
Answer:
i believe it’s no. sorry if i’m wrong!
Step-by-step explanation:
I need help for this question ASAP
Write 23/6 as a mixed number.
Answer: 3 5/6
Step-by-step explanation:
A mixed number takes the whole number out of the improper fraction. The whole number 3 can be taken out of 23/6 (18/6). Then, there is a remainder of 5/6. Add the two together and the mixed number would be 3 5/6.
23/6 as a mixed number is [tex]3\frac{5}{6}[/tex]
What is Fraction?A fraction represents a part of a whole.
We have to write 23/6 as a mixed number
Divide the numerator (23) by the denominator (6) and write the result as a whole number plus a fraction
23 ÷ 6 = 3 with a remainder of 5
So, 23/6 is equal to 3 and 5/6 as a mixed number.
Hence, 23/6 as a mixed number is [tex]3\frac{5}{6}[/tex]
To learn more on Fractions click:
https://brainly.com/question/10354322
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Erica went bowling with her friends. She paid $3 to rent shoes and then $5 for each game of bowling. If she
spent a total of $23, then how many games did Erica bowl?
Answer:
4 games
Step-by-step explanation:
23 - 3 = 20
20 / 5 = 4
find the value of x log2x-log(x-3)=1
Answer:
15/4
Step-by-step explanation:
Answer:
15/4
Step-by-step explanation:
log2x-log(x-3)=1
log(2x/x-3)=1
2x/x-3=10¹
2x/x-3=10
2x=10x-30
10x-2x=30
8x=30
x=30/8
x=15/4
Can someone help me answer these?? Pls I need this by tomorrow
Answer:
7/8= 0.875
7/20= 0.35
18/20= 0.9
7/8= 0.875
68/50= 1.36
25/20= 1.25
26/25= 1.04
11/10= 1.10
11/16= 0.6875
9/16= 0.5625
33/40= 0.825
23/40= 0.575
14/10= 1.4
29/25= 1.16
39/40= 0.975
Step-by-step explanation:
Answer:
.875, .35, .9, .875, 1.36, 1.25, 1.04, 1.1, .6875, .4375, .825, .575, 1.4, 1.16, .975
Step-by-step explanation:
Divide the nymeratir by the denominator- n÷ d= x
btw I did each rown going down
Sangeet got 96% of his answers right in a test of 50 marks. What was his score out of 50?
Answer:
48/50
Step-by-step explanation:
So find 96 percent of 50
Now divide it
48/50
You dont gotta divide, leave it as fraction
can someone please help me answer this? im struggling!! i will mark brainliest and rate 5 stars!!
Answer:
3.5 scale factor
Step-by-step explanation:
if you multiply any number from triangle RST by 3 you get they answer of the other triangle.
Yo can I get some help with this ?
Answer:
Y= 60 degrees.
Step-by-step explanation:
A traingle's three angles always equals 180 degrees. since the singular line on the triangle on the right mean the side are equal, the angles are also equal. 180 divided by 3 equals 60 degrees.
Help will give crown
G and H are 5 units apart.
G is at (-3, -4), and H is at (2, -4)
-3 and 2 are 5 units apart, -3+5=2. 2-5=-3
I need help ASAP!!!!
Answer:
1/5
Step-by-step explanation:
......................
Answer:
10/50 - 1/5. The simplest form is 1/5
Hope This Helps!
f(2)=-2 and f(1)=1 write a linear function
Answer:
[tex]f(x) = -3x+4[/tex]
Step-by-step explanation:
We can use the form [tex]y=mx+b[/tex] to find the linear function.
From [tex]f(2)=-2[/tex] , we can write:
[tex]-2=2m+b[/tex]
From [tex]f(1)=1[/tex] , we can write:
[tex]1=m+b[/tex]
To find for [tex]m[/tex], we can substract the second equation from the first:
[tex]2m+b-(m+b) = -2-1[/tex]
[tex]2m+b-m-b=-3[/tex]
[tex]m=-3[/tex]
To find for [tex]b[/tex], we can use substitution:
[tex]1 = m+b[/tex]
[tex]1 = -3+b[/tex]
[tex]b=4[/tex]
∴ [tex]f(x) = -3x+4[/tex] is the linear function.
Hope this helps :)
I’ll give you brainlest if you answer this! goes to the first person!
Help I don't know his help meeee
Answer:
30
Step-by-step explanation:
The rise is the space between the two points vertically.
We can take the two y points (60 and 120) and find the difference between the two. 120 - 60 = 60 between the two. That means the rise = 60.
The run is the difference between the two points horizontally. We can take the two x points (4 and 2) and find the difference between the two. 4 - 2 = 2. The run = 2. Rise/run = 60/2. This can be simplified to 30/1 or 30.
Solve for X.
-24+6x=-6
Answer:
3
Step-by-step explanation:
start by added 24 to both sides to get
6x = 18
then divide 18 by 6 to get
x = 3
Answer:
x=3
Step-by-step explanation:
Get your constant -24 to the other side to isolate the 6x.
-24+24+6x=-6+24
6x=18
Now since the 6 is multiplied by the x to isolate the x further divide 6x by 6, make sure to divide both sides. It should look like:
6x/6=18/6
x=3
To prove the answer just plug in 3 into the orginal equation and if both sides are equal its correct.
Freddy is buying wings and nachos for a party. A box of 10 wings cost $10.00. Nachos cost $4.00 per tray. He must spend less that $40.00 on the wings and nachos.
Using x to represent each box of wings and y to represent each tray of nachos, create an inequality that correctly represents the possible number of boxes of wings and trays of nachos Freddy can be and still be within his budget.
Answer:
10x + 4y < 40
Step-by-step explanation:
The creation of an inequality is as follows"
The cost of the 10 wings box = $10
The cost of nachos = $4 per tray
And, the amount that can be incurred less is $40
Based on the information,
The equation would be
10x + 4y < 40
Hence, the inequality equation is 10x + 4y<40