Given: ΔABC, where AB = BC Prove: m∠BAC = m∠BCA Statement Reason 1. Let ΔABC be an isosceles triangle with AB = BC. given 2. Create point D on side so bisects ∠ABC. constructing an angle bisector 3. M∠ABD = m∠CBD definition of angle bisector 4. BD = BD Reflexive Property of Equality 5. ΔABD ≅ ΔCBD 6. M∠BAC = m∠BCA Corresponding angles of congruent triangles have equal measures. What is the reason for statement 5 in this proof? A. ASA B. SSS C. AAS D. SAS
Answer:
D. SAS
Step-by-step explanation:
Given: ΔABC
Bisecting <ABC to create point D implies that BD is a common side to ΔABD and ΔCBD.
Also,
m<ABD = m<CBD (angle bisector)
BA = BC (given property of the isosceles triangle)
Therefore,
ΔABD ≅ ΔCBD (Side Angle Side)
The reason for statement 5 in this proof is that ΔABD ≅ ΔCBD by SAS (Side-Angle-Side) relations of the congruent triangles.
Answer:
Option D is correct trust me
Step-by-step explanation:
A warehouse elevator can hold 1750 pounds. A 200 pound worker loads the elevator with boxes that weigh 75 pounds each. The inequality describes the maximum number of boxes the worker can put on the elevator if he is also on the elevator. Which statement is true?
Answer: He can load at most 20 boxes.
Step-by-step explanation:
Let x = Number of boxes.
Then, Weight of 75 boxes = 75x
Also, Weight of worker = 200 pounds
So total weight in elevator = Weight of 75 boxes + Weight of worker
= 75x +200
A warehouse elevator can hold 1750 pounds.
∴ 75x +200 ≤ 1750
⇒ 75x ≤ 1750 -200
⇒ 75x ≤ 1550
⇒ x ≤ 20.67 [Divide both sides by 75]
It implies the maximum number of boxes it can hold = 20
Hence, the true statement is
He can load at most 20 boxes.
Curtis won 53 pieces of candy playing a game at the county fairAt school he gave one to each of his classmates in his English class. He only has 25 remaining. How many did he give away?
Help pls idk how to do this idk if i will set it up right
Answer:
3(-10.5)
Step-by-step explanation:
Answer:
3(-10.5)
Step-by-step explanation:
To make lemonade, you need 6 lemons and 8 cups of water. How many lemons do you need if you had 24 cups of water?
Final Answer: 18 lemons
Explanation:
8 x 3 = 24
In order to find how many lemons you need, you need to multiply the amount of lemons by 3 as well.
6 x 3 = 18
Therefore, you need 18 lemons. :)
The value of x must be greater than
O 0
O 1
O 3
O 7
Plz help I’ll give brainliest
Answer:
b
Step-by-step explanation:
In the expression 3x2y + 4x – 5x2y, are the terms 3x2y and –5x2y like terms? Explain by providing support for your answer.
Answer:
yes
Step-by-step explanation:
These are like terms because they have the same variables and powers. The coefficients do not need to match for it to be considered a like term.
Answer:
Sample Response: Yes, they are like terms because like terms have the same variables raised to the same powers. Both terms contain an x and y variable with the x variable squared.
Step-by-step explanation:
x 12 = 6 10 give your answer as an improper fraction in its simplest form.
Answer:
41/6
Step-by-step explanation:
Take the root of both sides and solve.
A square patio has an area of 107 square feet. How long is each side of the patio to the nearest tenth?
Answer:
Answer 26.35 rounded to 30
Step-by-step explanation:
Sarah drove 40 miles per hour. In 3 hours, Sarah drove 120 miles. Which is a valid proportion to represent this description? please help me fast
Answer:
i think its c
Step-by-step explanation:
Ann Carlyle is planning a business trip for which she needs to rent a car. The car rental company charges $50 per day plus $0.80 per mile over 100 miles. Suppose Ms. Carlyle rents the car for 5 days and drives 200 miles.
Answer:
The answer is 410
Step-by-step explanation:
You have to times 50 by 5 then 0.80 times 200 then add them i hope its right <3
which equation shows the point-slope tor of the line that passes through (3, 2) and has a slope of 1/3
Y+ 2 = 1/3 (x + 3)
y -2 = 1/3 (x-3)
y+3 = 1/3 (x+3)
y - 3 = 1/3 (x - 2)
Answer:
y - 2 = [tex]\frac{1}{3}[/tex] (x - 3)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = [tex]\frac{1}{3}[/tex] and (a, b) = (3, 2) , thus
y - 2 = [tex]\frac{1}{3}[/tex](x - 3)
Given : A line passes through a point ( 3 , -2 ) and the slope of the line is ⅓ .
To Find : The equation of that line .
Solution : Here we are provided with a point ( 3 , -2 ) and slope of the line which is ⅓ . So clearly here to represent the line we will use point - slope form , which is ;
[tex]\large\underline{\boxed{\red{\bf y - b = m ( x - a ) }}}[/tex]
Where ,
a is x - coordinate.b is y - coordinate .m is the slope of the line .Here ,
a = 3 b = -2m = ⅓ .Now , put the respective values ;
[tex]\boxed{\purple{\sf y - 2 = \dfrac{1}{3}(x-3)}}[/tex]
Please help asap!! I'll give you brainliest!!
What is the slope of the function, represented by the table of values below?
Answer:
-4
Step-by-step explanation:
To find the slope, you can use the formula y2-y1/x2-x1. Plugin any set of values. Say 13 is y2, and 5 is y1. 13-5=8. We now have 8/x2-x1. You have to use the x-values of the y-values that you already used. -2 is x2 and 0 is x1. -2-0=-2. 8/-2 = -4.
Rewrite by completing the square 2x^2+7x+6=0
Answer:
[tex]2x^2+7x+6=0\\\\2(x^2+\frac72x+3)=0\\\\2[x^2+2\cdot x\cdot\frac74+(\frac74)^2-(\frac74)^2+3]=0\\\\2[x^2+2\cdot x\cdot\frac74+(\frac74)^2]-2(\frac74)^2+6=0 \\\\2(x+\frac74)^2-2\cdot\frac{49}{16}+6=0\\\\2(x+\frac74)^2-\frac{49}8+\frac{48}8=0\\\\2(x+\frac74)^2-\frac18=0[/tex]
Answer:
(x+7/4)^2=1/16
Step-by-step explanation:
The temperature at 6:00 am in New York was -7 °C. At 2:00 pm the
temperature in New York was 7 °C. What was the change in the temperature
temperature?
Answer
10 degrees c
Step-by-step explanation:
Who can guess what time it is for me
Answer:
6:29
Step-by-step explanation:
how do I solve these two problems please explan how you got the answer
Answer:
They want you to have a good "grasp" of algebra... since you're asking about this I'm going to guess you don't feel that comfortable with it ... so I'll go in detail below. Even thought this is exactly what your math teacher is supposed to be teaching you.. ask your math teacher if I can have part of their salary :) $$
Step-by-step explanation:
in Question 18 , they are asking to solve for y . what that means is they want an equation that looks like y= (some stuff) In math terms they are asking you to isolate the y ... which is the part your math teacher should have told you.. were you just not listening? :P Anyway, soooo to solve for y we want to get y by it self.. on one side of the = sign and everything else on the other.. to do this use the order of operations ... but.. for doing algebra it has to be done in reverse order :0.... which i'm sure your math teacher hasn't mentioned and partly why algebra is so difficult.
soooo solve for 'y' ( isolate y )
12x-4y=20
-4y=20-12x
y=(20-12x)/-4
Yes, I know.. that answer is not very "satisfying" but. that is solved for "y"
for Question 20 it's just straight algebra, no numbers.. it's more abstract...and solve for R ( isolate 'R') to get R by itself
P=(R-C) / N
I'm multiplying by N first b/c the next thing in those parenthesis and when you do the order of operations you'd usually to that first but remember we are going back wards in operations.. sooo multiply both sides by N
P*N=R-C ..
now that R-C is no longer in parenthesis we can do that addition of C to both sides.. this is kinda tricky b/c of how the R-C were both over the N anyway...
P*N +C=R
another way to think of this one.... maybe you don't want to and you can just skip this part if you want to be done...
P=(R-C)/N
P=R/N - C/N now we can do addition first .. like I was mentioning above
P+C/N = R/N multiply both sides by N
N(P+C/N)=R b/c N/N =1 just drop it from the R'
P*N +C =R we end up at the same place but my a different route.
Multiply. −2⋅(4)⋅(−3)⋅(5) −120 −4 4 120
Answer:
-44120
Step-by-step explanation:
Luke can purchase a 10-pound item from several different stores. Which of the following is the best buy?
Answer:
What are the stores & the data?
Mike is 5 years old and Randy is 8 years old. Select all proportional relationships that have the same ratio to that of mike and Randy’s age
Answer:
40
Step-by-step explanation:
6771 divided by 44
Quotient:
Remainder:
Answer:
quotient: 152 remainder: 23
Step-by-step explanation: hope that helps :)
can i get brainliest pls?
Select all of the zeros of the function f(s) = (5x - 7)(x + 3)
Answer:
Step-by-step explanation:
show that any positive odd integers is of the form 4q+1 or 4q+3, where q is some integers.
Answer:
Step-by-step explanation:
Find the solution to y. For your answer just write the number do not write any symbols or variables. For instance if x = 2, just write 2 in the answer box provided.
-10 + y = 3
Answer:
Step-by-step explanation:
-10 + y = 3 Add 10 to both sides
-10+10+y = 3 + 10 Combine
y = 13
So the answer is 13
You have to do something to get the answer. Algebra is based on logical steps. You don't learn much by seeing 13.
A car rental company charges a daily rate of $ 27 plus $ 0.1 per mile for a certain car. Suppose that you rent that car for a day and your bill (before taxes) is $ 45.5. How many miles did you drive? Give your answer to the nearest whole mile. miles
Answer:
185 miles.
Step-by-step explanation:
According to the given situation, the calculation of mile is shown below:-
Assume drive = x miles
Total bill incurred = ($27 + 0.1 x) = $45.5
Now we will solve the above equation:
0.10x = $45.5 - $27
0.10x= 18.5
x = 18.5 ÷ 0.10
x = 185 miles.
So, the correct answer is 185 miles.
The same is to be considered
what are the factoris a^7+ab^6
Answer:
Step-by-step explanation:
a^6(a + b^6)
Help me quickly plz !!!!!!!!!!!!
Answer:
64
Step-by-step explanation:
10=-6+u/4
+6 both sides
16=u/4
times both sides by 4
64=u
In the House of Commons, citizens elect their members. Of the 800 members, 530 are from England, 120 are from Wales, 100 are from Scotland and 50 are from Northern Ireland. What is the percentage of members from Wales?
Answer:
15%
I like your demon slayer profile picture
Answer:
The answer is 15%.
Step-by-step explanation:
If 100 is 10% it only makes since that 15% is the right answer.
Hope This Helps!
use the rational exponent property to write an equivalent expression for
Answer:
i need to know what for
Step-by-step explanation:
Answer:
forrr rwhatttt
Step-by-step explanation: