Answers
Answer:
∠ BXC = 70°
Step-by-step explanation:
∠ XBC and ∠ AXY are corresponding angles and are congruent, then
∠ XBC = 55°
Since XB = XC , then Δ XBC is isosceles and the 2 base angles are congruent.
∠ BXC = 180° - (55 + 55)° ← angle sum of triangle
∠ BXC = 180° - 110° = 70°
The measure of angle BXC is 70°
What s transversal?"It is a line that passes through two lines in the same plane at two different points."
What are parallel lines?"These are the lines in the same plane that are at equal distance from each other and never meet."
What are isosceles triangle?"It is a triangle having any two sides equal in length."
For given example,
We can observe that XY and BD are parallel lines and AB is the transversal.
Here,
∠AXY = ∠XBC ..............(Corresponding angles)
⇒ ∠XBC = 55°
In figure, for ΔXBC the sides XB and XC are equal.
So, ΔXBC is an isosceles triangle.
We know, for isosceles triangle, angles opposite to equal sides are equal in measure.
⇒ ∠XBC = ∠XCB
⇒ ∠XCB = 55°
We know, the sum of all angles of the triangle is 180°.
⇒ ∠XBC + ∠XCB + ∠BXC = 180°
⇒ 55° + 55° + ∠BXC = 180°
⇒ 110° + ∠BXC = 180°
⇒ ∠BXC = 70°
Therefore, the measure of angle BXC is 70°
Learn more about the angles formed by parallel line and transversal here:
https://brainly.com/question/15464186
#SPJ2
Related Questions
You spend 264 dollars on clothes. Shirts cost 24 and pants cost :2 you buy a total of 9 items
Answers
EQUATIONS:
24x + 32y = 264
x + y = 9
x is shirts, y is pants
SOLVING by substitution:
x = 9 - y
24(9 - y) + 32y = 264
216 - 24y + 32y = 264
8y = 48
y = 6
x + 6 = 9
x = 3
yall please help me with this math question :/
Answers
Guys I rlly need help this due in 4 minutes, whats 1683 divided by 383 please help me
Answers
Answer:
1683 / 383 = 4.39 or approx 4.4
Answer:
4.39425587467 or 4 remainder 151.
Step-by-step explanation:
Long division.
help me please:(((((
Answers
Answer:
I will do the first one for you 115/24
Step-by-step explanation:
First find the prime number is of the number on the bottom of the fraction
Second after finding the prime numbers multiple all the times number starting with the bigger number’s prime number, and if the other prime number have a pair dont add them into equation. Ex 8-2 2 2 and 4-2 2 the 8 has 3 (2s) cancelling out the 4’s( 2s) other ex. 6-2 3 and 18- 2 3 3 the 18 has a 2 and 3 cancelling out the 6’s 2 and 3 making it multiple 2x3x3
Third after finding this number at step (2) this is the number at the bottom of the fraction making it easy to do any equations on it
Hope this helps :D
plz help me with this
Answers
Answer:
its green so you got it right
and if thats not the case you are correct
Step-by-step explanation:
The ratio of children to adults in a supermarket is 1 : 5
There are 15 children in the supermarket.
How many adults are in the supermarket?
pls answer quickly thanks :)
Answers
Answer: There are 75 Adults in the supermarket ask me why if you want a full on explanation. The full on reason of why it is 75 is because if you have a ratio of 1:5 and you now the one is for the kids and it is 15. Then you add 15 from 1 until you get to the 5th ratio. Hence, it brings you all the way to 75 adults. I hope this helped you, and anyone else
Step-by-step explanation:
A car rental company charges $26 per day for a rented car and $0.50 for every mile driven. A second car rental company charges $18 per
day and $0.75 for every mile driven. What is the number of miles at which both companies charge the same amount for a one-day rental?
O A 24 miles
OB. 32 miles
C. 42 miles
o D. 44 miles
Answers
Leah is purchasing a condominium and is financing $515,000 with a 20-year 5/1 ARM at 5.25% with a 1/12 cap structure. What will her payments be at the beginning of year 6? (3 points) a $3155.38 b $3701.45 c $3470.30 d $2908.95
Answers
Answer:
$3701.45. I hope this helps :)
Step-by-step explanation:
X, Y and Z are three points on a map. Y is 75km and on a bearing of 200° from X. Z is on a bearing of 150°, from Y. Z is due south of X. Calculate the distance between X and Z rounded to 1 DP.
Answers
Answer:
The distance between X and Z is approximately 114.9 km
Step-by-step explanation:
The given parameters are;
The distance of Y from X = 75 km
The bearing of Y from X = 200°
The bearing of Z from Y = 150°
The bearing of Z from X = 180°
In triangle XYZ, we have;
∠YZX = 180° - (130° + 20°) = 30°
By sine rule, we have;
(75 km)/sin(30°) = XZ/(sin(130°))
XZ = sin(130°) × (75 km)/sin(30°) ≈ 114.9 km
The distance between X and Z ≈ 114.9 km. to one decimal place.
What is the simplest form of this expression?
-x(4x2 - 6x + 1)
Answers
Answer:
−4x3+6x2−x
Step-by-step explanation:
(−x)(4x2−6x+1)
=(−x)(4x2+−6x+1)
=(−x)(4x2)+(−x)(−6x)+(−x)(1)
=−4x3+6x2−x
Sarah had 36 free throw attempts during a game and made at least 75% of the free throws.
What is the greatest number of free throws Sarah could have missed during the game?
Answers
Answer:
9 free-throws
Step-by-step explanation:
75% of 36 = 27
36-27=9
She could have missed up to nine free throws
Answer:
3
Step-by-step explanation:
25% of 12 is 3. Brainliest pls :)
A line AB joins the points A (3,4) and B (5,8). Write down the coordinates of the midpoint of the line AB
Please help
Thank you
Answers
Given:
A line AB joins the points A (3,4) and B (5,8).
To find:
The midpoint of the line AB.
Solution:
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
A line AB joins the points A (3,4) and B (5,8). So, the midpoint of line AB is
[tex]Midpoint=\left(\dfrac{3+5}{2},\dfrac{4+8}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{8}{2},\dfrac{12}{2}\right)[/tex]
[tex]Midpoint=\left(4,6\right)[/tex]
Therefore, the midpoint of the line AB is (4,6).
Find the value of x in rectangle BCDE.
Find Value of x.
Answers
Answer:
34
Step-by-step explanation:
Answer:
x=34
Step-by-step explanation:
2x=x+34
-x -x
x=34
TADA! :D
I need this by tomorrow! please help me, I'm desperate. I dont understand it well.
Answers
what is the value of x? -6x=90
Please show you got the answer
Answers
Answer:
-15
Step-by-step explanation:
-6x = 90
x = 90 ÷ -6
x = -15
Answer:
X = -15
Step-by-step explanation:
90/-6 is equal to -15.
You divide the number from the side with the variable from the other side of the = sign.
7(n - m) for m = 4 and n = 15
Answers
Answer:
63
Step-by-step explanation:
7(15-4)
7(9)
63
What is the greatest common divisor between 621 and 1035.
Answers
Answer:
207
Step-by-step explanation:
What is an equation in slope-intercept form for the line that passes through the points (1, -3) and (3, 1)?
A. y= 3x + 1
B. y= x-3
C. y= 2x + 5
D. y= 2x-5
° ♡ ₒ ♡ °
thank you!
Answers
I think, i hope this helps
Can you please mark BRAINLEST
If x = ‐3, evaluate x + 7
Answers
Answer:
4
Step-by-step explanation:
Substitute -3 for x.
-3 + 7 = 4
in the spring temperatures rise on average 6 degrees every 5 days. at that rate how many degrees would the temperature have risen after 30 days
Answers
Answer:
Ok, this is pretty simple. So, if it rises 6 degrees every five days, then we have to figure out how many "five days" are in 30 days. It would be 6! So now all we have to do is multiply. 6 times 6 equals 36 degrees.
The answer is 36 degrees.
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
If it rises 6 degrees every 5 days, we just need to figure out how many 5 days are in 30 days. When you solve, you'll get 6. Now we can just multiply 6 x 6 = 36. Hope this helped, please mark brainliest if it did
help pls1ssssssssssssssssssssss
Answers
Answer:
108 bottles
Step-by-step explanation:
[tex] \frac{4.536}{0.042} = 108 \: bottles[/tex]
Answer:
108 bottles
Step-by-step explanation:
[tex]\frac{4.536}{0.042}[/tex]=108
