If AXB has a measure of 100, and is its angle bisector, what is the measure of BXY?

Answers

Answer 1

Answer: since xy is the bisector of AXB so it divides the angle to two equal parts
so AXB=AXY+BXY and we know AxY and BXy are equal. so the amount of each of them is half of AXB that means 50

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Hamburgers cost $2.50 and cheeseburgers cost $3.50 at a snack bar. Ben has sold no more than $30 worth of hamburgers and cheeseburgers in the first hour of business. Let x represent the number of hamburgers and y represent the number of cheeseburgers. The inequality 2.50x + 3.50y ≤ 30 represents the food sales in the first hour.If Ben has sold 4 cheeseburgers, what is the maximum value of hamburgers Ben could have sold?

Answers

Using the inequality
2.50x + 3.50y ≤ 30
substituting y with the number of cheeseburgers sold
2.5x + 3.5(4) ≤ 30
x = 6.4
The maximum number of hamburgers he can sell is 6

Answer:

The maximum value of hamburgers is $6$

Step-by-step explanation:

Let

x-------> the number of hamburgers

y-----> the number of cheeseburgers

we know that

$2.50x+3.50y\leq 30$ -------> inequality that represent the situation

For $y=4$

substitute in the inequality and solve for x

$2.50x+3.50(4)\leq 30$

$2.50x+14\leq 30$

$2.50x\leq 30-14$

$2.50x\leq 16$

$x\leq 6.4$

The maximum value of hamburgers is $6$

identify whether the series infinity sigma i=1 8(5/6)^i-1 is a convergent or divergent geometric series and find the sum if possible

Answers

Answer:

The sum of infinite geometric series is:

Step-by-step explanation:

We have to find the sum of the geometric series which is given as:

$\sum^(\infty)_(i=1) 8* ((5)/(6))^i$

which could also be written as:

$8\sum^(\infty)_(i=1) ((5)/(6))^i$

As we know that any infinite series of the form:

$\sum^(\infty)_(i=1)x^i$

is convergent if |x|<1

Here we have:

x=5/6<1

Hence,the infinite series is convergent.

Also we know that for infinite geometric series the sum is given as:

$S=(a)/(1-r)$

Here we have:

a=5/6 and common ration r=5/6

Hence, the sum of series is:

$8\sum^(\infty)_(i=1) ((5)/(6))^i=8* (((5)/(6))/(1-(5)/(6)))\n\n=8* (((5)/(6))/((1)/(6)))\n\n=8* 5\n\n=40$

Hence, the sum of series is:

The sum is convergent. I'll assume the 8 isn't an attempt at using the infinity symbol, so that you have

$\displaystyle\sum_(i=1)^\infty 8\left(\frac56\right)^(i-1)$

This converges because the common ratio between terms is smaller than 1.

The sum is

$\frac8{1-\frac56}=48$

since

$\displaystyle\sum_(i=1)^\infty ar^(i-1)=a\lim_(n\to\infty)\sum_(i=1)^nr^(i-1)=a\lim_(n\to\infty)(1-r^n)/(1-r)=\frac a{1-r}$

if $|r|<1$ .

Atraeus is solving the quadratic equation by completing the square. 7x^2 – 14x + 6 = 0 7x^2 – 14x = –6 A(x^2 – 2x) = –6 What is the value of A?

Answers

Hello,

A=7
Indeed
A(x²-2x)=-6
7x²-14x=-6

==>A=7 and -14=-2A==>A=7

Answer: D

Step-by-step explanation:

Easy math problem, please help.O is the center of the circle. Assume that lines that appear to tangent are tangent. What is the value of x?

A. 56
B. 62
C. 248
D. 304

Answers

Answer:

Option A is correct that is x° = 56°

Step-by-step explanation:

Let Given Lines are tangents.

So we use a result which states that Tangents are perpendicular with radius at point of contacts.

⇒ ∠ B = ∠ D = 90°

Angle sum property of Quadrilateral = 360°

⇒ ∠A + ∠B + ∠O + ∠D = 360

x + 90 + 124 + 90 = 360

x + 304 = 360

x = 360 - 304

x = 56

Therefore, Option A is correct that is x° = 56°

The answer would be a. 56

What is 2×10to the 3rd power subtract from 1.9×10to the 2nd power equal

Answers

(2x10)^3-(1.9x10)^2
(8000)-(361)=7639

What is the awnser to X/2=1/2x+5

Answers

Answer:x+10

Step-by-step explanation:

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