BE and CE are twoequal alltitudes of triangle ABC using RHS congurence rule prove that triangle ABC is isoloes
Answer:
The answer is below
Step-by-step explanation:
BE and CF are two equal altitudes of triangle ABC using RHS congruence rule prove that triangle ABC is isosceles.
Solution:
A triangle is a polygon with three sides and three angles. Types of triangles are right angled triangle, scalene triangle, equilateral triangle and isosceles triangle.
The RHS congruence rule states that if the hypotenuse and one leg of one triangle is equal to the hypotenuse and leg of another triangle; then the two triangles are equal. Two triangles are equal if they have three equal angles and three equal sides.
We have right angle triangles BEC and BFC
BE = CF (given)
CB = BC (both triangles have the same hypotenuse)
Hence ΔBEC = ΔBFC (RHS congruence rule)
Therefore; ∠BCE = ∠FBC (congruence theorem)
Since two angles of triangle ABC are equal (∠B = ∠C), therefore triangle ABC is an isosceles triangle and AB = AC
(40 POINTS) Let x = price of a standard ticket, y = price of a matinee ticket, and z = price of a senior ticket.
150x + 80y + 12z = 2,466
380x + 95y + 48z = 5,419
210x + 130y + 60z = 3,960
220x + 225y = 4,445
540x + 270y = 8,370 → y = −2x + 31
x = 11
The solutions to the system mean:
A.) Eleven tickets were sold on Friday. Nine tickets were sold on Saturday. Eight tickets were sold on Sunday.
B.) Eleven standard tickets were sold. Nine matinee tickets were sold. Eight senior tickets were sold.
C.) The price of a standard ticket is $11. The price of a matinee ticket is $9. The price of a senior ticket is $8.
Answer:
C. The price of a standard ticket is $11. The price of a matinee ticket is $9. The price of a senior ticket is $8.
Answer:
The answer is C
Step-by-step explanation:
(Equivalent Expressions) Which expression is equivalent to 3 + 2x + 6y + 6x + 2 – 2y?
The width of a rectangle is 14 inches less than its length. The area of the
rectangle is 51 square inches. Find the dimensions of the rectangle.
Saffron is one the most expensive spices in the world. Ms. Patel pays $123.51 for 2.3 grams of saffron. What is the price per gram?
Scroll down for answer!
Step-by-step explanation:
123.51/2.3 = 53.7
Two options = 53.7 or 53.1
A circle has center (5, –4) and radius 8. Which gives the equation for the circle
Answer:
(x-5)^2 + (y+4)^2 =64
Step-by-step explanation:
how many solutions are in 3(x-2)=6x-3
Answer:
x=-1
Step-by-step explanation:
hope this helps!
Answer:
1 solution
Step-by-step explanation:
3x-6 = 6x-3
3x = 6x+3
-3x = 3
x = -1
the perimeter of a square is 7.2 meters how long is each side ?
Answer:
1.8 meters
Step-by-step explanation:
7.2÷4= 1.8
Answer:
1.8 m
Step-by-step explanation:
let side be 'a'.
perimiter of a square = 4(a)
7.2 = 4(a)
7.2/4 = a
therefore, a = 1.8 m.
4y-4x=16
slope intercept form
Answer:
y = x + 4
Step-by-step explanation:
Slope intercept form, y = mx + b, y = x + 4
Graph a line with a y-intercept of 3 and containing the point (2, 5).
To graph a line, plot two points on the line.
Answer:
Let me know if you'd like me to clarify something. Good luck
Tommy went to the mall and bought a shirt for $10 and a pair of pants for $30. Their was a sales tax of 7% on his purchase. How much did he pay in total?
Answer:
42.8
Step-by-step explanation:
(10+30)*1.07=42.8
3. Find the slope of the line that passes through (8, 1) and (3, 2). *
Answer:
your learning about slopes too :(
Step-by-step explanation:
Slope = change in y over change in x.
Slope = (2-1) / (3-8) = 1/-5 = -1/5
The answer is -1/5
Write an equation of the line that passes through (1,5) and is parallel to the line y=-4x+2.
9514 1404 393
Answer:
y = -4x +9
Step-by-step explanation:
The same slope-intercept equation can be used, but with a different y-intercept. That new y-intercept can be found from the given point (x, y) using the formula ...
b = y -mx
b = 5 -(-4)(1) = 9
So, the equation with the new y-intercept is ...
y = -4x +9
can soemone help meee i give brainlistt
Answer:
140.74
Step-by-step explanation:
1.area of right triangle
1/2*b*h=1/2*20*18=180
2.area of semi circle
1/2*pi*r^2=1/2*pi*5^2=39.26
r= d/2
180-39.26=140.74
20 POINTS
if you dont know the answer please dont answer
12x+24y=48
Answer:
x=2 y=1
Step-by-step explanation:
12 times 2 equals 24
24 time 1 equals 24
24+24=48
The temperature at 5:30 a.M. Was –4° Fahrenheit (F). Eight hours later, at 2:30 p.M., the temperature is the opposite of –4 °F. What is the temperature at 2:30?
Answer: 4°F
Step-by-step explanation:
From the question, we are informed that temperature at 5:30 a.m was –4°F and that eight hours later, at 2:30 p.m, the temperature is the opposite of –4°F.
The temperature at 2:30 will be 4°F since the opposite of -4 is +4. Also since there's an interval of 8 hours, it's likely that the temperature increased by 1° for every hour. In 8 hours, it'll have increased by 8°, therefore the temperature will then be:
= -4 + 8
= 4°F
Please use the picture below to find our what x equals
Answer:
45 degrees
Step-by-step explanation:
Answer:
60 degrees
Step-by-step explanation:
The full angle is supplementary (180 degrees) so you just do
180-(90+30)
180-120
x=60
Writh an equation of a line in slope-intercept form for the given conditions.
slope =2 and passes through (-5,2)
y=
Answer:
y=2x+12
Step-by-step explanation:
y-2=2(x-(-5))
y-2=2(x+5)
y-2=2x+10
y=2x+12
HELP PLEASE DUE TODAY
1 A. 5
1 B. 12.9
2. For this one, u can write any number less than 4.7, which could be 3, 2, -100, 1.21, etc.
3. For this one, u can write any number greater than (positive!) 2.6, such as 10, 30, 3.1415, etc.
hope this helps!
Michelle buys a car that costs $15,000. She makes a down payment of $5,000. If she pays $3000 in the next payment, which equation could be used to find the amount she still owes, C, of the car?
Answer: See explanation
Step-by-step explanation:
From the question, we are informed that Michelle buys a car that costs $15,000 and that she makes a down payment of $5,000 and later pays $3000 in the next payment.
To get the equation that can be used to find the amount she still owes, C, of the car, we will have to deduct the amount that she has paid from the cost of the car. This will be:
C = 15000 - 5000 - 3000
C = 15000 - 8000
Therefore solving the equation further, the amount left to pay will be:
C = 15000 - 8000
C = 7000
Westlane’s gym can hold up to 500 people. Studenttickets are $2 and adult tickets are $5. Mr.Pitcok wants to raise at least $1000 from ticket sales.Write a system of inequalities torepresent the situation and graph the inequalities.
Answer:
2s + 5a > 1000
s + a < 500
Key:
s represents a sold student ticket
a represents a sold adult ticket
please help asap!!!!
Answer:
C
Step-by-step explanation:
yeyeyeye
Please do number 10 for me.
What is 46x15?? Thank you so much!
Answer:
i think its a uhhh i think its a carrot..
Step-by-step explanation:
Write the following whole number as it’s English word equivalent
Answer:
eight hundred seventy five thousand five hundred eighty four
Step-by-step explanation:
[tex] \frac{7}{9} \times \frac{5}{6} [/tex]
what is the answer to this?
Answer:
[tex]\frac{35}{54}[/tex]
Step-by-step explanation:
When multiplying two fractions, you multiply across always. We have two fractions :
7/9 and 5/6
So multiply across :
[tex]\frac{7 * 5}{9 * 6}[/tex]
[tex]\frac{35}{54}[/tex]
The length of the rectangular field is two times its breadth. If the perimeter of the field is 300m, find the length and breadth.
Answer:
Youu can call the breadth x and then, as the length is two times the breadth, it would be 2x.
So now when we call x to the breadth and 2x to the length we can do an equation, as we know the sum of the four sides is 300 meters, so
2x + 2x + x + x = 300
6x = 300
x = 300/6 = 50
We know that the breadth is 50m, and, the length, which is twice the breadth, would be 100m in this exercise.
SO in this case, the breadth is 50 meters and the length is 100 meters..
Ben earns $12,800 a year. About 15% is taken out for taxes. How much is taken out for taxes?
Answer:
$1920
Step-by-step explanation:
to find a percent of a number, divide the percent by 100 then multiply by the value:
A cookie delivery company charges $0.90 per cookie plus a $3 delivery fee. If an
order costs $11.10, how many cookies were ordered?
Answer:
9 cookies
Step-by-step explanation:
The equation is 11.1 = 0.9x + 3. First, we need to isolate the variable so we subtract 3 from both sides. 8.1 = 0.9x. Next we divide both sides by 0.9 which gives us 9 = x or x = 9.
Does anyone know whoever answers i’ll mark brainlist
Answer:
(1,2)
Step-by-step explanation:
The solution to the system is where the two lines cross.
They cross at x=1 and y=2
(1,2)