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2 years ago

Work out angle bxc. give a reason for each angle you work out

Mathematics

1 answer:

Rus_ich [418]2 years ago

7 0

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°

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T he equation for a parabola with directrix y = –p and focus (0, p) is:

zhuklara [117]

The equation for a parabola with directrix y = –p and focus (0, p)

The distance between vertex and directrix is P

Also the distance between vertex and focus is also P

Focus (0,p) so focus lies on y axis

Directrix line is paralled to focus point

So Directex crosses the x axis .

Hence line of symmetry lies is the y-axis.

The graph is attached below.

3 0

3 years ago

Please help me!!<br> What is the value of x?

Eduardwww [97]

A single triangle is 180 degrees.

As you can see. Triangle A, as it is shown in the bad drawing. It is an isosceles triangle because two sides are equal to one another, indicated with the lines. Angle A is given as 57. By the isosceles triangle theorem, Angle A equals to Angle B. Calculating the missing angle: 180 - 57 (given) - 57 (because of the isosceles triangle theorem type of thing. I forgot) = 66

You can see it is a verticle angle so angle C is equal to angle D, therefore angle D is 66.

Again it is an isosceles triangle so Angle F is 66. 180 - 66(angle D) - 66(angle F) = 48 = angle x

Angle A = 57 degrees. Given

Angle A = Angle B. isosceles triangle theorem

Angle B = 57 degrees. Substitute

Angle A + Angle B + Angle C = 180. Definition of Triangle (I forgot what it was called)

57 + 57 + Angle C = 180. Substitution

Angle C = 66. Subtraction

Angle C = Angle D. Verticle angle theorem.

Angle D = 66. Substitution

Angle F = Angle D. isosceles triangle theorem

Angle F = 66. Substitution

Angle D + Angle F + Angle X = 180. Definition of Triangle?

66 + 66 + Angle X = 180. Substitution

Angle X = 48. Subtraction

6 0

3 years ago

What is the simplest radical form of the square root of 49 ?

Anarel [89]

As 7•7=49 it follows that 7 is the square root of 49

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3 years ago

Find the seventeenth term of the arithmetic sequence -4, -9, -15

Rufina [12.5K]

When facing problems where you have to find a certain term of a sequence, look really closely for patterns. Some sequences have a really easy pattern like adding or subtracting numbers. Other sequences have more complicated patterns.

In this case, based solely on the three numbers you are given you can observe that the numbers are decreasing.

Here's what we can see so far:

To get from the 1st term to the 2nd term:
subtract 5 from the starting number
To get from the 2nd term to the 3rd term:
subtract 6 from the above result

Even though we only have a small piece of the pattern, let's try extending it! We're going to continue subtracting, but we're going to increase the amount that we take away every time.

Try solving it yourself before you look ahead! :)

So continuing the pattern:

Start at -4

To get from the 1st term to the 2nd term:
subtract 5
(-4 - 5) = -9

To get from the 2nd term to the 3rd term:
subtract 6
(-9 - 6) = -15

To get from the 3rd term to the 4th term:
subtract 7
(-15 - 7) = -22

To get from the 4th term to the 5th term:
subtract 8
(-22 - 8) = -30

To get from the 5th term to the 6th term:
subtract 9
(-30 - 9) = -39

[...continue this pattern until you reach the 17th term...]

Before you just write down the answer, make sure you do your own work! I calculated that the 17th term was -204.

Try practicing with some other sequences of numbers! You've got this!

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3 years ago

What is the experimental probability of rolling an odd number on a standard number cube? For 50 rolls of the number cube, predic

mash [69]

Answer:

5050

Step-by-step explanation:

i know this because you do 5050

6 0

4 years ago

Read 2 more answers