Mathematics High School

Work out angle BXC.
Give a reason for each angle you work out.

Work Out Angle BXC. Give A Reason For Each Angle You Work Out.

Answers

Answer 1

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°

Answer 2

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:

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Related Questions

what's $90.94 with 50% off..?

Answers

Answer:

Write 50% as a decimal number:  

 

STEP 2: Multiply  by 90.94:

Step-by-step explanation: answer is 49.47

Answer:

45.47$

Step-by-step explanation:

50% means to cut things off by half

A laundry basket has 24 t-shirts in it. Four are navy, twelve are red and the remaining are white. What is the probability of not selecting a red shirt? *

Answers

Answer:

50%

Step-by-step explanation:

Identify the population of shirts that are *NOT red.* In this case 12 are red. This means that 12 shirts are *not red.* 12/24 = .5 or 50% probability.

Find the area under the curve y = 1/x^2 between the ordinates x=1 and x=5

Answers

Answer:

The area is -6/5 units

Step-by-step explanation:

We start by integrating the curve equation

1/x^2 = x^-2

So the integration will be;

x^-2+1/-2 + 1 = -1/x + k

So we have the area as;

-1/5 -1 = (-1 - 5)/5 = -6/5

-

PLEASE HELP
ANSWER SERIOUSLY

Answers

Answer:

raise a product to a power.

you first simplify the parenthesis in the numerator by raising 2 by the power of three and multiplying the exponents.

i suck at explaining, but after the first step the expression looks like:

[tex](\frac{8r^{6}t^{3} }{4t^{2} })^{2}[/tex]

Step-by-step explanation:

15 3/5 - 3 2/7 = ?

A. 12 31/35
B. 12 11/35
C. 11 21/35
D. 11 1/35

Answers

Answer:

its A

Step-by-step explanation:

hope this helps

Rey paid $91 for a watch that was on sale for 30% off. Grace and Curtis were debating how much the original price was. Grace said it would be $118.30 but Curtis said the original price should be $130, which person do you agree with? Why?

Answers

Answer:

The original cost is $130

Step-by-step explanation:

Step one:

given data

We are told that Rey paid $91 for a watch that was on sale for 30%

let the original cost be x

so that 30% off x= $91 --------not the word  OFF not OF

Required

the original cost x

Step two

hence

x- 30/100*x= 91

x-0.3x=91

0.7x= 91

divide both sides by 0.7

x= 91/0.7

x=$130

Identify the values of the variables. Give your answers in simplest radical form. 100 points

Answers

Answer:

3/-2 is = to 30 degrees so..

Step-by-step explanation:  w=34

V=21

13yd of circumference

Answers

Answer:

look it up mf

Step-by-step explanation:

1,958.55 divided by 15?????

Answers

answer is 130.57
uwu

what is 4.193 to the nearest ten

Answers

The answer is 4.2

The 9 is above 5 so it raises the one

how do i use the substitution method for these equations
y=3x+4
y=5x+12

Answers

Answer:

hello there mate

Step-by-step explanation:

Good day !
In this equation , you can solve the two equations directly .
You have been given the value of y In both cases.
So 3x+4=5x+12
=3x-5x=12-4
-2x=8
X=-4




Sorry if it’s incorrect!

I need help ASAP, The question is to Evaluate x^2-2y when x=4 and y=1, I don't understand at all helppp.

Answers

Answer:

14

Step-by-step explanation:

4^2 - 2(1)

16-2= 14

I hope this helped <3

Answer:

14

Step-by-step explanation:

plug in the values for x and y

if x = 4 then we have 4²- 2y

then it also says y = 1 so we now have 4²- 2(1)

4 squared is 16 and 2 times 1 is 2  

16 - 2= 14

What is the x-intercept?

Answers

Answer:

(5,0)

Step-by-step explanation:

2x+3y=4 y+3x=6
find x and y

Answers

Answer:

x=-3/2y+2

y= y=−3x+6

Step-by-step explanation:

solve for x.

2x+3y=4

Add -3y to both sides.

2x+3y+−3y=4+−3y

2x=−3y+4

Divide both sides by 2.

2x/2= -3+4/2

x= -3/2 y+2

solve for y.

y+3x=6

Add -3x to both sides.

3x+y+−3x=6+−3x

y=−3x+6

A pair of pants that Jessica wants are usually $39. If the store is having a 33% off sale, how much will the pants cost

Answers

Answer: $12.87

Step-by-step explanation:

You need to set up your equation. We are trying to find x.

Step 1:  [tex]\frac{x}{39} = \frac{33}{100}[/tex]

Step 2: Multiply across: 39 x 33 divided by 100.

39 x 33 = 1287

1287 divided by 100 = $12.87

Answer: $12.87

(trigonometry!!) Write the ratios for sin A and cos A. If needed reduce the fractions.

Answers

Answer:

Step-by-step explanation:

sin A = [tex]\frac{35}{37}[/tex]

cos A = [tex]\frac{12}{37}[/tex]

(-10,-7) (-8,1) find the distance between two points

Answers

Answer: [tex]\sqrt{68}[/tex] units.

Step-by-step explanation:

The distance between points (a, b) and (c, d) is given by :_

[tex]D=\sqrt{(d-b)^2+(c-a)^2}[/tex]

Given points : (-10,-7) (-8,1)

Distance between points (-10,-7) and (-8,1) = [tex]\sqrt{(1-(-7))^2+(-8-(-10))^2}[/tex]

[tex]=\sqrt{(1+7)^2+(-8+10)^2}\\\\=\sqrt{8^2+2^2}\\\\=\sqrt{64+4}\\\\=\sqrt{68}[/tex]

Hence, distance between given points = [tex]\sqrt{68}[/tex] units.

z-x/3=y solve for z
it's on a quiz hurryyy​

Answers

Answer:

z = 3y + x

Step-by-step explanation:

z - x / 3 = y

multiply both sizes by 3

z - x = 3y

add x

z = 3y + x

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Using the properties of integer exponents, match each expression with its equivalent expression
30 points and Brainly if answer is right

Answers

5-3 = 1/125
-5-3 = -1/125
(-5-3)-1 = -125
(-5-3)0 =1

Kent is making a scale model of his favorite train. The actual train is 12 feet long and 4 feet wide. Kent wants his model to be 6 inches in length. Which would be the width of his model if he uses the same ratio?

Answers

Answer:

2 feet

Step-by-step explanation:

Answer:

2 feet

Step-by-step explanation:

...

Identify the slope and y-intercept. If the equation is in standard form, you may need to switch it to slope-intercept form. Sketch the graph of each line.
x - 5y = 20

Answers

Hi there! The slope is 1/5 and the y-intercept is (0,-4).

PLZ HELP HELP PLZ PLZ ASAP ASAP

Answers

Answer: 8

Step-by-step explanation: Divide 224 by 28

HELP I NEED HELP ASAP


Answers

Answer:

Option C is the correct answer

Step-by-step explanation:

C. Multiply both sides of the equation by 20

The sum of 2 numbers is 49. The second number is 15 less than the first number. The first number is
represented about x and the second number is represented about y. Write the equation that goes with
this description.

Answers

Answer:

x + y = 49

y = x - 15

Step-by-step explanation:

The sum of 2 numbers is 49 means that x+y = 49. (The two numbers are x and y, and the sum of them are 49.)

The second number is 15 less than the first number, means that y = x - 15 (The second number is y, and it is 15 less than x, which is the first number.)

Therefore the equations will be

x + y = 49

y = x - 15

Answer:

Step-by-step explanation:

The sum of 2 numbers is 49

x  +  y = 49

The second number is 15 less than the first number.

y = x - 15

1. A wise old man once said, "500 reduced by 4 times my age is
296." What is his age?

Answers

Answer:

51

Step-by-step explanation:

51×4=204

500-204=296

When you divide 2149 by n, the remainder is 4. When you divide 1578 by n the remainder is 5. What is the least possible natural number n?

and other question

When you divide 12,650 by n , the remainder is 2. When you divide 5,800 by n the remainder is 3. What is the least possible natural number n?

Bonus If you want brainly answer these 2 other questions

n is a natural number. Find the greatest possible value of the GCD of
(2n+25) and (n+15)
Also answer
(2n+25) and (n+15)

Answers

Answer:

First Q: The smallest value for which n works is 11.

Second Q: Smallest here is 17.

Third Q: I don't know this one, sorry!

Fourth Q: n is -10.

Step-by-step explanation:

For the first two questions, find the smallest common factor between the two numbers (subtract the remainder).

Q1:

First, subtract the remainders from the numbers (2149 - 4 = 2145; 1578 - 5 = 1573)

Then, list the factors

2145: 1, 3, 5, 11, 13, 15, 33, 39, 55, 65, 143, 165, 195, 429, 715, 2145

1573: 1, 11, 13, 121, 143, 1573

These two numbers share 11 and 13 in common. 11 is the smaller of these, so it is the smallest value n can work.

Q2:

Repeat the steps from Q1.

12650 - 2 = 12648; 5800 - 3 = 5797

12648: 1, 2, 3, 4, 6, 8, 12, 17, 24, 31, 34, 51, 62, 68, 93, 102, 124, 136, 186, 204, 248, 372, 408, 527, 744, 1054, 1581, 2108, 3162, 4216, 6324, 12648

5797: 1, 11, 13, 17, 31, 187, 341, 527, 5797

These two share 17, 31, and 527 in common. 17 is the smallest of these, so it is the smallest value n can work.

Q4 (I don't know how to do Q3 yet):

2n + 25 = n + 15

Subtract n from both sides

n + 25 = 15

n = 15 - 25

Subtract 25 from 15 to get -10

n = -10

Again, I don't know how to do Question 3 yet. Sorry for the inconvenience! Anyhow I hope the rest of this was helpful!

The least possible natural number n is 11.

Given that, when you divide 2149 by n, the remainder is 4. When you divide 1578 by n the remainder is 5.

What is GCD?

The greatest common divisor (GCD) refers to the greatest positive integer that is a common divisor for a given set of positive integers.

Question 1:

First, subtract the remainders from the numbers (2149 - 4 = 2145; 1578 - 5 = 1573)

Then, list the factors

2145: 1, 3, 5, 11, 13, 15, 33, 39, 55, 65, 143, 165, 195, 429, 715, 2145

1573: 1, 11, 13, 121, 143, 1573

11 and 13 are common factors. 11 is the smaller of these, so the smallest n value is 11.

Question 2:

First, subtract the remainders from the numbers

That is, 12650 - 2 = 12648; 5800 - 3 = 5797

List the factors:

12648: 1, 2, 3, 4, 6, 8, 12, 17, 24, 31, 34, 51, 62, 68, 93, 102, 124, 136, 186, 204, 248, 372, 408, 527, 744, 1054, 1581, 2108, 3162, 4216, 6324, 12648

5797: 1, 11, 13, 17, 31, 187, 341, 527, 5797

17, 31, and 527 are common factors. 17 is the smaller of these, so the smallest n value is 17.

Therefore, the least possible natural number n is 11.

To learn more about the GCD visit:

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Select the image of the figure after a rotation of 270⁰ about the origen

Answers

Answer:

10

Step-by-step explanation:

I think I don’t evenknow !

The difference between the length and the width of a rectangle is 5 centimeters. What id the length (the longer side) of the rectangle, if its perimeter is equal to 106 centimeters

Answers

Answer:

29

Step-by-step explanation:

106=2(x+x+5)

53=2x+5

48=2x

24=x

24+5=29

A: x/8=3/4
B: 2/5=x/40

Answers

Answer:

A.)x=6

B.)x=16

did u mean to solve it or do something else if this is not the way u mean i can do another way if u like

2.
M
28°
mZM =
N
L
mZNE

Answers

Answer:

28°

Step-by-step explanation:

..... ....... ..... ...

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