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:

https://brainly.com/question/15464186

#SPJ2


Related Questions

Can someone help me on 2/3-3/8 show work

Answers

Answer:

It is 7/24

Step-by-step explanation:

So first you want a common denominator so we have to find the least common multiple of 3 and 8, which is 24.

Next you have to multiply the same to the numerator, I usually go by the phrase whatever you do to the bottom you do to the top. So 8 times 2 is 16 and 3 times 3 is nine.

Everything changed should be 16/24-9/24

then we do 16-9 is 7 and you never subtract the denominators so 2/3-3/8 is 7/24

How do you write mixed numbers as percents?

Answers

convert the fraction part of the mixed number to a decimal,Divide the numerator by the denominator.

8+8-8 ???????????????

Answers

Answer:8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

8+8=16

16-8=8

[][][][][][]

Use the replacement set to find the solution set to the inequality c+5<16 {10,11,12}

Answers

Answer:

the answer would be 10

Step-by-step explanation:

:)))

is this a function? pls help

Answers

Answer:

It would be no

What are the values of the expression??

(-10)2 and -102.

Answers

Because of the parenthesis the equation has changed

Please please help me with this!!
Look at the picture for the question

Fill in the equation so that the equation has one solution.
Answers:
25
5-2x
None of the above.

Answers

5-2x. That’s the answer

Can someone plz help me like please

Answers

Answer:

1000 pennies 100 is 1 10th 400 makes 500 which is half of 1000

what is the slope intercept equation of the line below (0, 4) (2, -2)

Answers

Answer:

2 text wen u here

Step-by-step explanation:

Answer:

y = -3x + 4

Step-by-step explanation:

Find slope:

(-2 - 4)/(2 - 0)

-6/2 = -3

y = -3x + b

Plug in a point for x and y:

4 = -3(0) + b

b = 4

y = -3x + 4

In triangle QRS, the measure of
angle Q is 70º. Angle R is
congruent to angle S. What is the
measure of angle R in degrees?

Answers

Answer:

55 degrees :)

Step-by-step explanation:

all triangles add up to 180 degrees.

we already have 70 degrees and since <S = <R they are the same # of degrees.

subtract 70 from 180 and we get 110.

divide 110 by 2=55

<S 55

<R 55

<Q 70

Answer:

62

Step-by-step explanation:

please help me please will give brainliest to ​

Answers

Answer:

D) (1, -1)

Step-by-step explanation:

point G corresponds with point L

the coordinates of pt G are (2, -2) so take 1/2 of each to get (1, -1)

Please help me complete this !! 12points

Answers

Answer:

1.

x1=1

x2=3

y1=5

y2=1

midpoint= (x1+x2/2, y1+y2/2)=(1+3/2,5+1/2)=(2,3)

2.

x1=2

x2=4

y1=4

y2=6

midpoint= (x1+x2/2, y1+y2/2)=(2+4/2,4+6/2)=(3,5)

3.

x1= -2

x2=4

y1=4

y2= -6

midpoint= (x1+x2/2, y1+y2/2)=(-2+4/2,4-6/2)=(1,-1)

4.

x1=0

x2=0

y1=3

y2=5

midpoint= (x1+x2/2, y1+y2/2)=(0/2,3+5/2)=(0,4)

5.

x1= -2

x2=2

y1= -6

y2=6

midpoint= (x1+x2/2, y1+y2/2)=(-2+2/2,-6+6/2)=(0,0)

6.

x1=1

x2=4

y1=4

y2=5

midpoint= (x1+x2/2, y1+y2/2)=(1+4/2,4+5/2)=(5/2,9/2)

7.

x1=-3

x2=-4

y1=5

y2=5

midpoint= (x1+x2/2, y1+y2/2)=(-3-4/2,5+5/2)=(-7/2,5)

8.

x1=5

x2= -4

y1=2

y2=6

midpoint= (x1+x2/2, y1+y2/2)=(5-4/2,2+6/2)=(1/2,4)

I need help cause I’m lazy to do it myself it’s 4 in the morning

Answers

Answer:

C. Mario should have multiplied the x-values by $6.50 to get the y values.

Step-by-step explanation:

Let's do it the way they said. If we were to multiply 1 by 65, it would be $65. If we did the same thing for 2, 2 x 65 is $130. This is incorrect because these values do not match up with the ones on the graph.

Decimal points are important in this case because it completely changes your answer. When you multiply 1 by 6.50, you get 6.50. Which is what's on the graph. Multiply 2 by 6.50 and you'll get $13, and so on.

So now we can conclude that the mistake Mario made was that he multiplied x by the wrong value (65), when it should have been $6.50.

Note: Hope this helps! Good luck on your test. :)

Spearhead Toy company hired 70 people this year. They have hired 10% more employees this year than last year. How many employees have been hired this year?

Answers

Answer:

63 employees.

Step-by-step explanation:

Spearhead Toy company hired 70 people this year.They have hired 10% more employees this year than last year.

To find the number of employees highered last year;

110% of employees represent 70

100% of the employees will represent;

Cross-multiplying gives;

[tex]\frac{100 * 70}{110} = 63.6[/tex]

To be realistic, 63 employees were highered last year.

please help I'll give brainliest

Alice is going to invest some money for 5 years.
She can choose from two options:
Investment A: 2.7% compound interest per annum
Investment B: 2.8% simple interest per annum
Which investment should Alice choose​

Answers

Answer:

Option A

Step-by-step explanation:

Let the amount be P

Compound interest:

P*(1 + 0.027)^5 = P*1.1425 rounded

Simple interest:

P*(1 + 0.028*5) = P*1.14

Alice should choose compound interest, Option A

I am a solution . My number cubed is equal to - 64 . What number am I?

Answers

Answer:

-4

Step-by-step explanation:

-4^3 = -64

1 pts
The hanger image below represents a balanced equation.
27
v
v
Find the value of V that makes the equation true.
OV=9
O V = 8
O V = 7
O No answer text provided.

Answers

Answer:

9

Step-by-step explanation:

27/3=9. 9x3=27

Please answer!! Screenshot attached

Answers

Answer:

there is a website where you can make triangles and that would get it 4 u

Step-by-step explanation:

How much is 75% of 10 liters of milk?

Answers

Step-by-step explanation:

100% of milk = 10 litres

=> 75% of milk = 10 * (75/100) = 7.5 litres.

Hence 75% of 10 litres of milk is 7.5 litres.

The answer is 7.5%


First you multiply 75 by 10, the result is divided by 100 and it gives you 7.5

 what number when added to 1 1/3 gives 2

Answers

The answer is 2/3

Explanation

1/3+2/3= 3/3 which is 1
So that would change 1 1/3 to 1 3/3 which is the same as 2.

Please Help :(
Evaluate the expression when x = 9:

5|6−x|

A)−30
B)10
C)15
D)75

Answers

Answer:

it is C

Step-by-step explanation:

Its c because i had the exact same problem

Is 15 Bc 6-9 is -3 and the positive of that is 3 and then times that by 5 and that gives u 15

Find the sum of -4a-3 and 7a-4.

Answers

Answer: 3a - 7

Step-by-step explanation:

(-4a - 3) + (7a - 4)

Combine like terms

-4a + 7a - 3 - 4

3a - 7

Hope this helped!

7 a -4 =30

Move all terms not containing  

a

to the right side of the equation.

Tap for more steps...

7

a = 34

Divide each term by  

7

and simplify.

Tap for more steps...

a = 34 7

The result can be shown in multiple forms.

Exact Form:

a = 34 7

Decimal Form:

a = 4. 857142

Mixed Number Form:

a

=

4  6/ 7

Frank is making a dog bed from a pattern. The picture shows the length and width of the piece of fabric he needs. Which is the area of the piece of fabric?

Answers

Answer:

252 square feet

Step-by-step explanation:

Sarah peeled 84 oranges in 7 hours. At that rate, how many oranges would she peel in 15 minutes?​

Answers

Answer:

Sarah would peel 3 oranges in 15 minutes

Explanation:

I’m not sure if I did it right but i multiplied 7 by 60 (hours by minutes in an hour) and got 420. Then I divided it by 15 and got 28. Finally, I divided 84 by 28 and I got 3. I don’t if I am late or right for this question though.

Can somebody look at the picture and help

Answers

Answer:

154

Step-by-step explanation:

divide 7,238 by 47.

Answer:

he needed 154 albums for 7238 photos

Witch one is it?

I'm confused

Answers

Answer:

option 2

Step-by-step explanation:

Answer: Option 2

Step-by-step explanation:

Option 2 features 2 columns and 5 rows, which is representative of the question 0.2 x 0.5. The other options do not model the correct values expressed in the question.

can you help me the first person will get brainliest

Answers

Answer:

put the equations in tiger math

Step-by-step explanation:

I can’t read it , nor see it ??

but other than that have a good day !! goodluck with everything

please awnser photo will give brain if you are first

Answers

Answer:

THE SECOND ONE

write an equation of the line passing through the point (3,2) and is parallel to the line y=\frac{1}{3}x-3


need answer ASAP

Answers

Answer:

Equation of line passing through (3,2) and parallel to line [tex]y = \frac{1}{3}x-3[/tex] is:

[tex]y = \frac{1}{3}x+1[/tex]

Step-by-step explanation:

Given equation of line is:

[tex]y = \frac{1}{3}x-3[/tex]

Slope-intercept form of a line is given by:

[tex]y = mx+b[/tex]

Comparing the given equation of line with general form we get

m = 1/3

Let m1 be the slope of line parallel to given line

Then the equation of line will be:

[tex]y = m_1x+b[/tex]

We know, "Slopes of two parallel lines are equal"

Which means

[tex]m_1 = m\\m_1 = \frac{1}{3}[/tex]

Putting the value of slope

[tex]y = \frac{1}{3}x+b[/tex]

Putting the point (3,2) in the equation

[tex]2 = \frac{1}{3}(3)+b\\2 = 1+b\\b = 2-1\\b = 1[/tex]

Final equation of line is:

[tex]y = \frac{1}{3}x+1[/tex]

Hence,

Equation of line passing through (3,2) and parallel to line [tex]y = \frac{1}{3}x-3[/tex] is:

[tex]y = \frac{1}{3}x+1[/tex]

Pls help!!! Pls and thank you!! So much

Answers

The measure of angle 1 is 64 degrees

First you need to find the measure of angle 3

To find the measure of angle three subtract 116 from 180 because angle 3 is on a straight line which is equivalent to 180 degrees. Angle 3 is 64 degrees.

Then you add 64 and 52 then subtract that sum by 180 because the measure of a triangle equals 180 degrees.

64+52=116
180-116=64

Therefore angle 1 is 64 degrees

Hope this helps :)

Answer:

I solved it for u!

Hope it helps

Step-by-step explanation:

Another way, it an isosceles triangle so the base will be same, so angle 3 and angle 1 will be same after u find angle 3, then angle 1 will be equal to it

So here angle 3 = 64°

So angle 1= 64°

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