Answers
Answer:
In ΔECD
<E = <C = <D
using angle sum property of triangle
<E + <C + <D = 180°
<E + <E + <E = 180° ( As <E = <C = <D )
3<E = 180
<E = 60°
NOW
<BCA + <ACE + <ECD = 180 (L. P. A.)
50° + <ACE + 60° =180
110 + <ACE = 180
<ACE = 70°
NOW as
AC = AE
So using property of triangle that angle opposite to equal sides are equal we get
<ACE = <AEC = 70°
In triangle ΔAEC
Now using Angle sum property of triangle
<ACE + <AEC + <CAE = 180°
70° + 70° + x = 180
140 + x = 180
x = 40°
Now in ΔABC
AB = AC
using property of triangle that angle opposite to equal sides are equal
So <ACB = <ABC = 50°
Now using angle sum property of triangle in ΔABC
<ACB + <ABC + <CAB = 180
50 + 50 + y = 180
100 + y = 180
y = 80°
so x = 40° and y = 80°
Related Questions
Model the unknown number problem by writing an algebraic expression. Then complete the statements. The class was divided into three equal groups. The number of students in class is represented by . The words “divided into three equal groups” means division by 3 . The correct algebraic expression is .
Answers
c a c....................................................................................................................
The correct algebraic expression for this scenario is x/3.
The unknown number of students in the class can be represented by the algebraic expression "x."
The statement "The class was divided into three equal groups" implies that the number of students, represented by "x," is divided by 3.
Therefore, the correct algebraic expression for this scenario is:
x/3.
Here, "x" represents the total number of students in the class, and "x/3" represents the number of students in each of the three equal groups when the class is divided equally.
To know more about algebraic expression:
https://brainly.com/question/953809
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Every time Mary bakes a batch of brownies, she uses 1/5 cup of chocolate. If she has 8/10 cup(s) of chocolate remaining, how many batches of brownies can Mary make? Input your answer as a whole number.
giving 35 points if u answer.
Answers
Answer:
4 batches
Step-by-step explanation:
just divide 8/10 by 1/5 to get 4 :)
Step-by-step explanation:
Number of cups of chocolate is directly proportional to the number of batches of brownies.
1/5 cups of chocolate = 1 batch of brownies
=> 8/10 cups of chocolate = (8/10) / (1/5)
= 4 batches of brownies.
Hence Mary can make 4 more batches.
You roll a dice twice. Find the probability of getting 3 in the first throw and 5 in the second throw
Answers
Answer:
its 1/36th
Step-by-step explanation:
there are 36 total outcomes
Answer:
probability
Step-by-step explanation:
Find the general solution to the equation y(5) - 4y(4) + 4y(3) = 1.
Answers
Answer:
y= -1/23
Step-by-step explanation:
The equation y(5)-4y(4)+4y(3)=1 can be solved thus:
Work on brackets first:
5y-16y+12y=1
Add up y values
5y-28y=1
Divide both sides of equation
-23y=1
y=1/-23
Therefore the value of y is -1/23
In April, 287 people visited an amusement park. In May, 379 people visited the same amusement park. In June, twice as many people visited the amusement park as visited in April and May combined. How many people visited the amusement park in June?
Answers
Answer:
1332 i think
Step-by-step explanation:
287+379=666
666*2=1332
Show that x+y:x-y=3:2
Answers
We have,
x+y:x-y=3:2
To prove that, x+ y : x - y = 3:2.
x+y=3
And,
x+y = 2
Adding (1) and (2), we get
x+y+x-y=3+2
⇒2x=5
⇒ x =
Put x = in (1), we get
+y=3
⇒ y=3-=
x+y:x-y=
=3:2
So, x+y:x-y=3:2.
Find the midpoint of the line segment whose endpoints are (0, 1/2 ) and (0, 3/4).
A: 0,2/3
B: 0,5/8
C: 0, 1 1/4
Answers
Answer:
B: 0, 5/8
Step-by-step explanation:
First, add the abcissas (x coordinates).
0 + 0 = 0
Then, divide the result by 2.
0 divided by 2 = 0
Then, add the ordinates (y coordinates).
1/2 + 3/4 = 1 1/4
Then, divide the result by 2.
1 1/4 divided by 2 = 5/8
The midpoint is 0, 5/8
2.4+ (3t + 0.6)
I need help
Answers
The height of a doorway is 8 yards. What is the height of the doorway in inches?
The height of the doorway is
inches.
Answers
Answer:
288
Step-by-step explanation:
multiply the length value by 36
A man spends ¼ of his salary onshoes and ⅔ on school fees, what fraction of his salary is left?
Answers
Answer:
1/12
Step-by-step explanation:
1/4+2/3=11/12
Meaning 1/12 left
Please give brainliest, thank me and rate it 5. :)
Math question:):):):):)
Answers
QT is half of QR, so it is 12.
ST is 35 because it is half of PR.
Please help me white this it will be in the Picture. And do not look at Number 3
Answers
Answer:
[tex]volume = {s}^{3} \\ = ( \frac{1}{2} ) ^{3} \\ = ( \frac{ {1}^{3} }{ {2}^{3} } ) \\ = \frac{1}{9} \: {ft}^{3} [/tex]
Answer:
B
Step-by-step explanation:
1/4
What is the coefficient of the x4-term in the binomial expansion of (x + 3)12?
12C7(3)7
12C8
12C4(3)4
12C8(3)8
Answers
Answer:
I am not sure about this question sry but u can try asking a tutor u don't need to use any points
Answer:
Step-by-step explanation:
I don't get the question do you have a picture?
What is the value of 4y+2y-8 if y=0.5
Answers
Answer:
-5
Step-by-step explanation:
4x0.5=2
2x0.5=1
2+1=3
3-8=-5
A line's slope is 1/5 and its y-intercept is 10
Answers
Answer:
plug in those values into y = mx +b
m = the slope
b= y-intercept
the equation of the line is:
y = 1/5x +10
Step-by-step explanation:
I hope this helped :)
Evaluate the expression
what is 2+49÷(-7)?
Answers
Answer:
-5
Step-by-step explanation:
I need help with 5 and 14 pls
Answers
Answer:
5
(3a²b³c)³(2a⁴b²c²)³
= (3a⁶b⁹c³)(8a¹²b⁶c⁶)
= 24a¹⁸b¹⁵c⁹
14
⁴√(81a¹⁶b¹²c⁹)
= (⁴√81)(⁴√a¹⁶)(⁴√b¹²)(⁴√c⁹)
[tex]= 3 (a^{\frac{16}{4} }) (b^{\frac{12}{4} } ) (c^{\frac{9}{4} } )[/tex]
[tex]= 3a^{4} b^{3} c^{\frac{9}{4} }[/tex]
Ms. Henry is drawing a scale model of the school garden. Her scale will be 1 cm per 8 ft. School Garden 8 cm 12 cm What are the actual dimensions of the school garden?
Answers
Answer:
B. 96 ft by 64 ft
Step-by-step explanation:
Scale of drawing = 1 cm to 8 ft
Length of garden on paper = 12 cm
Actual length of garden = 12 × 8 = 96 ft
Width of garden on paper = 8 cm
Actual length of garden = 8 × 8 = 64 ft
Actual dimensions of the school garden would be 96 ft by 64 ft
17.09 as a mixed number
Answers
Step-by-step-Explanation
3. $35 dinner; 20% tip
Answers
Total cost = 42$
Gina has 48 stickers. of the stickers have pictures of flowers. of the stickers have pictures of plants. The rest of the stickers have pictures of people. How many stickers have pictures of people?
Answers
Answer:
Gina has 48 stickers. of the stickers have pictures of flowers. of the stickers have pictures of plants. The rest of the stickers have pictures of people. How many stickers have pictures of people?
Step-by-step explanation:
Gina has 48 stickers. of the stickers have pictures of flowers. of the stickers have pictures of plants. The okpm of the stickers have pictures of rs have pictures of people. How many stickepeople?
Help me on this question, I'll give brainlist for the correct answer.
Answers
Answer:
Step-by-step explanation:
The first expression has value 12
The second expression has value -6
The third expression has value
4
And finally the forth expression has value 1.14
((13 + 7) = 20
(12+4) = 16
16/ (20 - 16)= 16 / 4
16/4 = 4
Answer:
c the third one
Step-by-step explanation:
((13 + 7) = 20
(12+4) = 16
16/ (20 - 16)= 16 / 4
16/4 = 4
Find the common difference of the arithmetic sequence 13, 21, 29, ...
Answers
PLS HELP WILL MARK BRAINIEST
Determine which car gets the better gas mileage (picture below)
Answers
Answer:
Car A gets better mileage
Step-by-step explanation:
360 / 20 = 16 mpg
270 / 18 = 15 mpg
Answer:
A
Step-by-step explanation:
360×3=1080
270×4=1080
20×3=60
18×4=72
car A is better
write an expression that is equivalent to 1/3x+3/4+2/3x-1/4-1/3-2/3x
Answers
Answer: 1/3x + 1/6
Step-by-step explanation:
The expression that is equivalent to 1/3x+3/4+2/3x-1/4-1/3-2/3x would be:
= 1/3x + 2/3x - 2/3x + 3/4 - 1/4 - 1/3
= 1/3x + 3/4 - 1/4 - 1/3
= 1/3x + 1/2 - 1/3
= 1/3x + 3/6 - 2/6
= 1/3x + 1/6
Answer:
1/3x + 2/4
Step-by-step explanation:
(1/3x + 2/3x = 3/3x/ 1 - 2/3 = 1/3) (3/4 - 1/4 = 2/4
What is the slope of the line shown in the graph?
A 3/2
B) 2/3
C) -3/4
D) -2/3
Answers
Answer:
D.
Step-by-step explanation:
y-intercept is (0, 3)
x-intercept is (4.5, 0)
formula to find the slope from two points is
[tex]slope = m = \frac{y2 - y1}{x2 - x1} = \frac{y1 - y2}{x1 - x2} \\ [/tex]
then the slope of the line that crosses (0, 3) & (4.5, 0) is
[tex]m = \frac{3 - 0}{0 - 4.5} = \frac{3}{ - 4.5} = - \frac{3}{ \frac{9}{2} } = - \frac{2}{3} [/tex]
Mya is buying juice boxes for a party
Answers
Answer:
Step-by-step explanation:
you need more info
write a polynomial function in it's factored form with zeros 5, -1, and 2
Answers
Answer:
(x - 5)(x + 1)(x - 2) = 0
Step-by-step explanation:
If a polynomial function has roots a, b, and c, then it is (x - a)(x - b)(x - c).
The roots here are 5, 1, and 2, so the factors are
(x - 5)(x - (1))(x - 2)
The function is:
(x - 5)(x + 1)(x - 2) = 0
6) Tell whether -3 is a solution of the inequality.: y +6<4
A-solution
B-not a solution
Answers
Answer:
A - Yes, it's a solution
Answer:
Yes, it is a solution.
Step-by-step explanation:
The reason why it is a solution because when you plug -3 into the y and add -3+6<4, you will get -9<4. -9 is less than 4 because the 9 is a negative. Hope this helps!
What is the coefficient in the inequality 3x=10?
Answers
Answer:
3.3333333333333333333333333333333
Step-by-step explanation:
so u do 10 divided by 3 =3.333333333333333333333333.
x = what i said